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Old 7th February 2018, 03:03 AM   #121
calebprime
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Today's bright-eyed candidate series: Doe See Doe, named for the extremely banal tonal sequence at the end.

However, Doe See Doe has some quite strong multiple-order properties, from several points of view.

To whit:
--Beginning column intervals/first 6 notes: 2,1,2,3,2,1.
--good every-3rd coupling
--Complete orbits with related groups of series at p/4/2 and r/8/4.
--Huge group at ri/9/1 (3,840 solutions!)
--Near misses at ri/10/6 and others

Plus it has my characteristic chord-scale beginning.

Care must be used in working with this series to not make it too cornpone because of that F-E-G-A-B-C-D sequence, or heck, take advantage! Go full pone!


Code:
Doe See Doe



0,  2,  8,  3,  6,  10, 1,  5,  4,  7,  9,  11
2,  3,  10, 5,  7,  11, 0,  8,  6,  1,  4,  9
3,  5,  11, 8,  1,  9,  2,  10, 7,  0,  6,  4
5,  8,  9,  10, 0,  4,  3,  11, 1,  2,  7,  6
8,  10, 4,  11, 2,  6,  5,  9,  0,  3,  1,  7
10, 11, 6,  9,  3,  7,  8,  4,  2,  5,  0,  1
11, 9,  7,  4,  5,  1,  10, 6,  3,  8,  2,  0
9,  4,  1,  6,  8,  0,  11, 7,  5,  10, 3,  2
4,  6,  0,  7,  10, 2,  9,  1,  8,  11, 5,  3
6,  7,  2,  1,  11, 3,  4,  0,  10, 9,  8,  5
7,  1,  3,  0,  9,  5,  6,  2,  11, 4,  10, 8
1,  0,  5,  2,  4,  8,  7,  3,  9,  6,  11, 10



C,  D,  Ab, Eb, Gb, Bb, Db, F,  E,  G,  A,  B
D,  Eb, Bb, F,  G,  B,  C,  Ab, Gb, Db, E,  A
Eb, F,  B,  Ab, Db, A,  D,  Bb, G,  C,  Gb, E
F,  Ab, A,  Bb, C,  E,  Eb, B,  Db, D,  G,  Gb
Ab, Bb, E,  B,  D,  Gb, F,  A,  C,  Eb, Db, G
Bb, B,  Gb, A,  Eb, G,  Ab, E,  D,  F,  C,  Db
B,  A,  G,  E,  F,  Db, Bb, Gb, Eb, Ab, D,  C
A,  E,  Db, Gb, Ab, C,  B,  G,  F,  Bb, Eb, D
E,  Gb, C,  G,  Bb, D,  A,  Db, Ab, B,  F,  Eb
Gb, G,  D,  Db, B,  Eb, E,  C,  Bb, A,  Ab, F
G,  Db, Eb, C,  A,  F,  Gb, D,  B,  E,  Bb, Ab
Db, C,  F,  D,  E,  Ab, G,  Eb, A,  Gb, B,  Bb

p/0/0:...............C  D  Ab Eb F# Bb C# F  E  G  A  B  



                     2  3  4  5  6  7  8  9  10 11 0  1
p/4/2:...............C  G  Bb D  F  A  Ab B  C# Eb E  F# 
.....................c........d........ab.......eb....f#..
...........................bb................c#...........
.................................f.................e......
........................g...........a.....b...............

2,5,8,11,1,4,10,6,0,3,7,9


M) modulus: 12
P) permutation: 2,5,8,11,1,4,10,6,0,3,7,9
C) center interval of self-similarity: 4
I) invert test (use sums instead of differences): on
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 3
S) maximum sum of all deviations: 30
F) fixed-position notes: 0:0
E) excluded cells within range: 
R) excluded intervals within range: 
A) filter original solution: on
B) filter permuted solution: off
X) permutation depth: 2
N) number of solutions to print: 7000
W) wrap: on

1) perform new full search
2) search within results of last full search
9) quit

enter choice: i
I) invert test (use sums instead of differences): on
enter new value: off

M) modulus: 12
P) permutation: 2,5,8,11,1,4,10,6,0,3,7,9
C) center interval of self-similarity: 4
I) invert test (use sums instead of differences): off
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 3
S) maximum sum of all deviations: 30
F) fixed-position notes: 0:0
E) excluded cells within range: 
R) excluded intervals within range: 
A) filter original solution: on
B) filter permuted solution: off
X) permutation depth: 2
N) number of solutions to print: 7000
W) wrap: on

1) perform new full search
2) search within results of last full search
9) quit

enter choice: 1
working...
0 1 4 2 9 5 3 11 8 10 7 6 - 12 0 0
0 1 4 2 9 5 7 3 8 10 11 6 - 12 0 0
0 1 4 2 9 5 11 7 8 10 3 6 - 12 0 0
0 1 4 3 9 5 2 10 8 11 6 7 - 12 0 0
0 1 4 3 9 5 6 2 8 11 10 7 - 12 0 0
0 1 4 3 9 5 10 6 8 11 2 7 - 12 0 0
0 1 4 6 9 5 3 11 8 2 7 10 - 12 0 0
0 1 4 6 9 5 7 3 8 2 11 10 - 12 0 0
0 1 4 6 9 5 11 7 8 2 3 10 - 12 0 0
0 1 4 7 9 5 2 10 8 3 6 11 - 12 0 0
0 1 4 7 9 5 6 2 8 3 10 11 - 12 0 0
0 1 4 7 9 5 10 6 8 3 2 11 - 12 0 0
0 1 4 10 9 5 3 11 8 6 7 2 - 12 0 0
0 1 4 10 9 5 7 3 8 6 11 2 - 12 0 0
0 1 4 10 9 5 11 7 8 6 3 2 - 12 0 0
0 1 4 11 9 5 2 10 8 7 6 3 - 12 0 0
0 1 4 11 9 5 6 2 8 7 10 3 - 12 0 0
0 1 4 11 9 5 10 6 8 7 2 3 - 12 0 0
0 2 4 1 10 6 3 11 8 9 7 5 - 12 0 0
0 2 4 1 10 6 7 3 8 9 11 5 - 12 0 0
0 2 4 1 10 6 11 7 8 9 3 5 - 12 0 0
0 2 4 3 10 6 1 9 8 11 5 7 - 12 0 0
0 2 4 3 10 6 5 1 8 11 9 7 - 12 0 0
0 2 4 3 10 6 9 5 8 11 1 7 - 12 0 0
0 2 4 5 10 6 3 11 8 1 7 9 - 12 0 0
0 2 4 5 10 6 7 3 8 1 11 9 - 12 0 0
0 2 4 5 10 6 11 7 8 1 3 9 - 12 0 0
0 2 4 7 10 6 1 9 8 3 5 11 - 12 0 0
0 2 4 7 10 6 5 1 8 3 9 11 - 12 0 0
0 2 4 7 10 6 9 5 8 3 1 11 - 12 0 0
0 2 4 9 10 6 3 11 8 5 7 1 - 12 0 0
0 2 4 9 10 6 7 3 8 5 11 1 - 12 0 0
0 2 4 9 10 6 11 7 8 5 3 1 - 12 0 0
0 2 4 11 10 6 1 9 8 7 5 3 - 12 0 0
0 2 4 11 10 6 5 1 8 7 9 3 - 12 0 0
0 2 4 11 10 6 9 5 8 7 1 3 - 12 0 0
0 3 4 1 11 7 2 10 8 9 6 5 - 12 0 0
0 3 4 1 11 7 6 2 8 9 10 5 - 12 0 0
0 3 4 1 11 7 10 6 8 9 2 5 - 12 0 0
0 3 4 2 11 7 1 9 8 10 5 6 - 12 0 0
0 3 4 2 11 7 5 1 8 10 9 6 - 12 0 0
0 3 4 2 11 7 9 5 8 10 1 6 - 12 0 0
0 3 4 5 11 7 2 10 8 1 6 9 - 12 0 0
0 3 4 5 11 7 6 2 8 1 10 9 - 12 0 0
0 3 4 5 11 7 10 6 8 1 2 9 - 12 0 0
0 3 4 6 11 7 1 9 8 2 5 10 - 12 0 0
0 3 4 6 11 7 5 1 8 2 9 10 - 12 0 0
0 3 4 6 11 7 9 5 8 2 1 10 - 12 0 0
0 3 4 9 11 7 2 10 8 5 6 1 - 12 0 0
0 3 4 9 11 7 6 2 8 5 10 1 - 12 0 0
0 3 4 9 11 7 10 6 8 5 2 1 - 12 0 0
0 3 4 10 11 7 1 9 8 6 5 2 - 12 0 0
0 3 4 10 11 7 5 1 8 6 9 2 - 12 0 0
0 3 4 10 11 7 9 5 8 6 1 2 - 12 0 0
0 5 4 2 1 9 3 11 8 10 7 6 - 12 0 0
0 5 4 2 1 9 7 3 8 10 11 6 - 12 0 0
0 5 4 2 1 9 11 7 8 10 3 6 - 12 0 0
0 5 4 3 1 9 2 10 8 11 6 7 - 12 0 0
0 5 4 3 1 9 6 2 8 11 10 7 - 12 0 0
0 5 4 3 1 9 10 6 8 11 2 7 - 12 0 0
0 5 4 6 1 9 3 11 8 2 7 10 - 12 0 0
0 5 4 6 1 9 7 3 8 2 11 10 - 12 0 0
0 5 4 6 1 9 11 7 8 2 3 10 - 12 0 0
0 5 4 7 1 9 2 10 8 3 6 11 - 12 0 0
0 5 4 7 1 9 6 2 8 3 10 11 - 12 0 0
0 5 4 7 1 9 10 6 8 3 2 11 - 12 0 0
0 5 4 10 1 9 3 11 8 6 7 2 - 12 0 0
0 5 4 10 1 9 7 3 8 6 11 2 - 12 0 0
0 5 4 10 1 9 11 7 8 6 3 2 - 12 0 0
0 5 4 11 1 9 2 10 8 7 6 3 - 12 0 0
0 5 4 11 1 9 6 2 8 7 10 3 - 12 0 0
0 5 4 11 1 9 10 6 8 7 2 3 - 12 0 0
0 6 4 1 2 10 3 11 8 9 7 5 - 12 0 0
0 6 4 1 2 10 7 3 8 9 11 5 - 12 0 0
0 6 4 1 2 10 11 7 8 9 3 5 - 12 0 0
0 6 4 3 2 10 1 9 8 11 5 7 - 12 0 0
0 6 4 3 2 10 5 1 8 11 9 7 - 12 0 0
0 6 4 3 2 10 9 5 8 11 1 7 - 12 0 0
0 6 4 5 2 10 3 11 8 1 7 9 - 12 0 0
0 6 4 5 2 10 7 3 8 1 11 9 - 12 0 0
0 6 4 5 2 10 11 7 8 1 3 9 - 12 0 0
0 6 4 7 2 10 1 9 8 3 5 11 - 12 0 0
0 6 4 7 2 10 5 1 8 3 9 11 - 12 0 0
0 6 4 7 2 10 9 5 8 3 1 11 - 12 0 0
0 6 4 9 2 10 3 11 8 5 7 1 - 12 0 0
0 6 4 9 2 10 7 3 8 5 11 1 - 12 0 0
0 6 4 9 2 10 11 7 8 5 3 1 - 12 0 0
0 6 4 11 2 10 1 9 8 7 5 3 - 12 0 0
0 6 4 11 2 10 5 1 8 7 9 3 - 12 0 0
0 6 4 11 2 10 9 5 8 7 1 3 - 12 0 0
0 7 4 1 3 11 2 10 8 9 6 5 - 12 0 0
0 7 4 1 3 11 6 2 8 9 10 5 - 12 0 0
0 7 4 1 3 11 10 6 8 9 2 5 - 12 0 0
0 7 4 2 3 11 1 9 8 10 5 6 - 12 0 0
0 7 4 2 3 11 5 1 8 10 9 6 - 12 0 0
0 7 4 2 3 11 9 5 8 10 1 6 - 12 0 0
0 7 4 5 3 11 2 10 8 1 6 9 - 12 0 0
0 7 4 5 3 11 6 2 8 1 10 9 - 12 0 0
0 7 4 5 3 11 10 6 8 1 2 9 - 12 0 0
0 7 4 6 3 11 1 9 8 2 5 10 - 12 0 0
0 7 4 6 3 11 5 1 8 2 9 10 - 12 0 0
0 7 4 6 3 11 9 5 8 2 1 10 - 12 0 0
0 7 4 9 3 11 2 10 8 5 6 1 - 12 0 0
0 7 4 9 3 11 6 2 8 5 10 1 - 12 0 0
0 7 4 9 3 11 10 6 8 5 2 1 - 12 0 0
0 7 4 10 3 11 1 9 8 6 5 2 - 12 0 0
0 7 4 10 3 11 5 1 8 6 9 2 - 12 0 0
0 7 4 10 3 11 9 5 8 6 1 2 - 12 0 0
0 9 4 2 5 1 3 11 8 10 7 6 - 12 0 0
0 9 4 2 5 1 7 3 8 10 11 6 - 12 0 0
0 9 4 2 5 1 11 7 8 10 3 6 - 12 0 0
0 9 4 3 5 1 2 10 8 11 6 7 - 12 0 0
0 9 4 3 5 1 6 2 8 11 10 7 - 12 0 0
0 9 4 3 5 1 10 6 8 11 2 7 - 12 0 0
0 9 4 6 5 1 3 11 8 2 7 10 - 12 0 0
0 9 4 6 5 1 7 3 8 2 11 10 - 12 0 0
0 9 4 6 5 1 11 7 8 2 3 10 - 12 0 0
0 9 4 7 5 1 2 10 8 3 6 11 - 12 0 0
0 9 4 7 5 1 6 2 8 3 10 11 - 12 0 0
0 9 4 7 5 1 10 6 8 3 2 11 - 12 0 0
0 9 4 10 5 1 3 11 8 6 7 2 - 12 0 0
0 9 4 10 5 1 7 3 8 6 11 2 - 12 0 0
0 9 4 10 5 1 11 7 8 6 3 2 - 12 0 0
0 9 4 11 5 1 2 10 8 7 6 3 - 12 0 0
0 9 4 11 5 1 6 2 8 7 10 3 - 12 0 0
0 9 4 11 5 1 10 6 8 7 2 3 - 12 0 0
0 10 4 1 6 2 3 11 8 9 7 5 - 12 0 0
0 10 4 1 6 2 7 3 8 9 11 5 - 12 0 0
0 10 4 1 6 2 11 7 8 9 3 5 - 12 0 0
0 10 4 3 6 2 1 9 8 11 5 7 - 12 0 0
0 10 4 3 6 2 5 1 8 11 9 7 - 12 0 0
0 10 4 3 6 2 9 5 8 11 1 7 - 12 0 0
0 10 4 5 6 2 3 11 8 1 7 9 - 12 0 0
0 10 4 5 6 2 7 3 8 1 11 9 - 12 0 0
0 10 4 5 6 2 11 7 8 1 3 9 - 12 0 0
0 10 4 7 6 2 1 9 8 3 5 11 - 12 0 0
0 10 4 7 6 2 5 1 8 3 9 11 - 12 0 0
0 10 4 7 6 2 9 5 8 3 1 11 - 12 0 0
0 10 4 9 6 2 3 11 8 5 7 1 - 12 0 0
0 10 4 9 6 2 7 3 8 5 11 1 - 12 0 0
0 10 4 9 6 2 11 7 8 5 3 1 - 12 0 0
0 10 4 11 6 2 1 9 8 7 5 3 - 12 0 0
0 10 4 11 6 2 5 1 8 7 9 3 - 12 0 0
0 10 4 11 6 2 9 5 8 7 1 3 - 12 0 0
0 11 4 1 7 3 2 10 8 9 6 5 - 12 0 0
0 11 4 1 7 3 6 2 8 9 10 5 - 12 0 0
0 11 4 1 7 3 10 6 8 9 2 5 - 12 0 0
0 11 4 2 7 3 1 9 8 10 5 6 - 12 0 0
0 11 4 2 7 3 5 1 8 10 9 6 - 12 0 0
0 11 4 2 7 3 9 5 8 10 1 6 - 12 0 0
0 11 4 5 7 3 2 10 8 1 6 9 - 12 0 0
0 11 4 5 7 3 6 2 8 1 10 9 - 12 0 0
0 11 4 5 7 3 10 6 8 1 2 9 - 12 0 0
0 11 4 6 7 3 1 9 8 2 5 10 - 12 0 0
0 11 4 6 7 3 5 1 8 2 9 10 - 12 0 0
0 11 4 6 7 3 9 5 8 2 1 10 - 12 0 0
0 11 4 9 7 3 2 10 8 5 6 1 - 12 0 0
0 11 4 9 7 3 6 2 8 5 10 1 - 12 0 0
0 11 4 9 7 3 10 6 8 5 2 1 - 12 0 0
0 11 4 10 7 3 1 9 8 6 5 2 - 12 0 0
0 11 4 10 7 3 5 1 8 6 9 2 - 12 0 0
0 11 4 10 7 3 9 5 8 6 1 2 - 12 0 0
found 162 solutions.





.....................8..7..6..5..4..3..2..1..0..11.10.9.....
r/8/3:...............C  C# A  F# D  B  E  Bb Ab G  F  Eb 
.....................c...........d...........ab.......eb...
..............................f#..........bb...............
........................c#.........................f.......
.......................................e........g..........
...........................a........b           

8,4,0,9,5,1,7,10,2,11,6,3

It found the same 162 series.


                     3  4  5  6  7  8  9  10 11 0  1  2      
p/9/3:...............C  Eb G  Bb D  C# E  F# Ab A  B  F  
.....................c...........d...........ab...........
........................eb................f#..............
..............................bb....c#................f...
.......................................e..................
...........................g....................a..b





p/0/0:...............C  D  Ab Eb F# Bb C# F  E  G  A  B  



.....................10.9..8..7..6..5..4..3..2..1..0..11...... 
ri/9/1:..............C  D  F  E  Ab B  Eb F# C# G  A  Bb 
.....................c..d........ab....eb.f#..........bb....
.............................................c#.............
...........................f..e.................g..a........
....................................b...

10,9,6,4,3,11,2,8,7,1,0,5
3,840 solutions!


 
ri/10/6:.............C  E  G  D  Ab Bb B  C# Eb F# F  A  
.....................c........d..ab..........eb.f#........
....................................bb....c#.......f......
........................e..g...........B..............A

Last edited by calebprime; 7th February 2018 at 03:16 AM.
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Old 7th February 2018, 07:41 AM   #122
calebprime
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eta: I'm looking at the list and predicting the the computer will kick out Doe See Doe.

yes, here's the current list of 34 distinct series. Doe See Doe was too much like Too Tuesday.


Code:
number of rows found: 34

removing near-duplicates...done

number of rows remaining: 34

number of rows found: 34

removing near-duplicates...done

number of rows remaining: 34

mof6B*                       mallalieu                    (0 1 5 9 2 8 7 11 3 10 4 6)  
(0 1 3 9 4 7 11 2 10 5 8 6)  (0 1 4 2 9 5 11 3 8 10 7 6)                               

(0 1 7 2 4 8 6 3 11 5 10 9)  (0 1 7 2 10 8 4 3 6 11 5 9)  (0 1 9 2 4 10 8 3 6 5 7 11)  

(0 1 9 6 11 4 8 2 10 5 7 3)  (0 2 3 9 10 6 7 1 5 8 4 11)  (0 2 5 4 10 7 11 6 9 1 3 8)  

(0 2 8 4 5 10 1 6 3 7 9 11)  (0 3 2 6 4 5 10 9 11 7 1 8)  (0 3 4 6 11 7 9 1 8 2 5 10)  

(0 3 7 6 4 10 8 9 2 11 5 1)  row 1*                       (0 3 10 7 8 1 4 2 6 11 9 5)  
                             (0 3 8 10 7 11 5 1 4 2 9 6)                               

(0 4 6 10 7 3 11 1 8 2 5 9)  (0 4 7 8 1 11 9 3 10 5 6 2)  (0 5 4 10 1 9 7 3 8 6 11 2)  

(0 5 8 10 4 1 11 3 7 9 2 6)  (0 5 11 10 8 4 6 3 7 1 2 9)  (0 7 2 1 4 9 5 8 6 10 3 11)  

(0 7 3 2 5 10 6 9 1 8 11 4)  (0 7 4 2 11 1 6 10 9 5 3 8)  (0 7 9 11 4 2 5 10 8 6 1 3)  

(0 8 2 3 5 10 7 11 6 1 4 9)  (0 8 5 3 6 1 7 11 10 2 4 9)  (0 8 7 4 9 5 3 10 11 1 2 6)  

(0 9 1 6 11 10 5 3 2 8 4 7)  mof3                         (0 9 2 6 1 11 7 3 4 10 5 8)  
                             (0 9 2 5 4 11 8 1 7 3 6 10)                               

(0 9 4 3 6 11 10 8 2 7 1 5)  (0 10 2 3 6 7 4 1 9 11 5 8)  (0 10 2 7 11 9 4 3 1 8 5 6)  

(0 10 4 8 7 3 1 6 11 5 9 2)

Last edited by calebprime; 7th February 2018 at 08:09 AM.
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Old 8th February 2018, 04:21 AM   #123
calebprime
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Originally Posted by varwoche View Post
I've been listening to this repeatedly. I like it a lot.

* * *

What would make the re-order thingy more usable? Please don't be shy to tell me. I want the satisfaction of making it useful.
Originally Posted by calebprime View Post
Thanks, varwoche, that really means a lot.

As for the re-order thingy. Well, if you insist!

Lessee:

-- Any re-ordering is possible, user just enters the numbers. (done)

-- Will re-order 1-series input iteratively, number of times specified by user, or until the output loops (matches input).

It takes the output that was the re-ordered input, and re-orders that, and prints it if it's different from input or other outputs in group.

Probably with the current re-ordering, there are only a pair of series, because two re-orderings gets you back to the beginning.

-- Will do one re-ordering on a list of series



This is really the deluxe version that I can imagine!
The other thing -- I have no idea how gnarly -- is to make it possible to have any length strings as input and output.
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Old 8th February 2018, 04:37 AM   #124
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today's trial self-similar series -- Larry The Cube

It already passes the first computer tests for being different from the others.

Code:

0 7 5 3 9 1 6 10 11 4 2 8 

C,  G,  F,  Eb, A,  Db, Gb, Bb, B,  E,  D,  Ab
G,  Eb, Db, Bb, E,  Ab, C,  F,  A,  Gb, B,  D
Eb, Bb, Ab, F,  Gb, D,  G,  Db, E,  C,  A,  B
Bb, F,  D,  Db, C,  B,  Eb, Ab, Gb, G,  E,  A
F,  Db, B,  Ab, G,  A,  Bb, D,  C,  Eb, Gb, E
Db, Ab, A,  D,  Eb, E,  F,  B,  G,  Bb, C,  Gb
Ab, D,  E,  B,  Bb, Gb, Db, A,  Eb, F,  G,  C
D,  B,  Gb, A,  F,  C,  Ab, E,  Bb, Db, Eb, G
B,  A,  C,  E,  Db, G,  D,  Gb, F,  Ab, Bb, Eb
A,  E,  G,  Gb, Ab, Eb, B,  C,  Db, D,  F,  Bb
E,  Gb, Eb, C,  D,  Bb, A,  G,  Ab, B,  Db, F
Gb, C,  Bb, G,  B,  F,  E,  Eb, D,  A,  Ab, Db

7,8,7,7,8,7,6,8,10,7,9,6

p/0/0:...............C  G  F  Eb A  C# F# Bb B  E  D  Ab 


                     10 11 0  1  2  3  4  5  6  7  8  9
i/2/10:..............C  F# D  G  A  B  F  C# Ab E  Eb Bb 
.....................c........g........f...........eb.....
.................................a........c#..........Bb..
........................f#..........b...........e.........
...........................d.................ab.. 
10,1,4,8,2,5,9,11,3,7,0,6

M) modulus: 12
P) permutation: 10,1,4,8,2,5,9,11,3,7,0,6
C) center interval of self-similarity: 2
I) invert test (use sums instead of differences): on
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 1
S) maximum sum of all deviations: 30
F) fixed-position notes: 0:0
E) excluded cells within range: 0,1,2:3 0,3,6,9:4
R) excluded intervals within range: 
A) filter original solution: on
B) filter permuted solution: off
X) permutation depth: 2
N) number of solutions to print: 7000
W) wrap: on

1) perform new full search
2) search within results of last full search
9) quit

enter choice: 2
working...
0 1 3 6 11 7 4 5 8 9 2 10 - 10 1 2
0 1 3 6 11 7 4 5 8 10 2 9 - 10 1 2
0 1 3 6 11 7 5 4 8 9 2 10 - 10 1 2
0 1 3 6 11 7 5 4 8 10 2 9 - 10 1 2
0 1 3 8 11 7 9 10 6 4 2 5 - 10 1 2
0 1 3 8 11 7 9 10 6 5 2 4 - 10 1 2
0 1 3 8 11 7 10 9 6 4 2 5 - 10 1 2
0 1 3 8 11 7 10 9 6 5 2 4 - 10 1 2
0 1 5 6 9 7 3 4 8 11 2 10 - 10 1 2
0 1 5 6 9 7 4 3 8 11 2 10 - 10 1 2
0 1 6 3 8 7 4 5 11 9 2 10 - 10 1 2
0 1 6 3 8 7 4 5 11 10 2 9 - 10 1 2
0 1 6 3 8 7 5 4 11 9 2 10 - 10 1 2
0 1 6 3 8 7 5 4 11 10 2 9 - 10 1 2
0 1 6 5 8 7 3 4 9 11 2 10 - 10 1 2
0 1 6 5 8 7 4 3 9 11 2 10 - 10 1 2
0 1 6 11 8 7 10 9 3 5 2 4 - 10 1 2
0 1 8 3 6 7 4 5 11 9 2 10 - 10 1 2
0 1 8 3 6 7 4 5 11 10 2 9 - 10 1 2
0 1 8 11 6 7 9 10 3 5 2 4 - 10 1 2
0 1 8 11 6 7 10 9 3 5 2 4 - 10 1 2
0 1 9 8 5 7 3 4 6 11 2 10 - 10 1 2
0 1 9 8 5 7 4 3 6 11 2 10 - 10 1 2
0 7 3 4 11 1 5 6 10 8 2 9 - 10 1 2
0 7 3 4 11 1 5 6 10 9 2 8 - 10 1 2
0 7 3 4 11 1 6 5 10 8 2 9 - 10 1 2
0 7 3 4 11 1 6 5 10 9 2 8 - 10 1 2
0 7 3 6 11 1 4 5 8 9 2 10 - 10 1 2
0 7 3 6 11 1 4 5 8 10 2 9 - 10 1 2
0 7 3 6 11 1 5 4 8 9 2 10 - 10 1 2
0 7 3 6 11 1 5 4 8 10 2 9 - 10 1 2
0 7 3 8 11 1 9 10 6 4 2 5 - 10 1 2
0 7 3 8 11 1 9 10 6 5 2 4 - 10 1 2
0 7 3 8 11 1 10 9 6 4 2 5 - 10 1 2
0 7 3 8 11 1 10 9 6 5 2 4 - 10 1 2
0 7 3 10 11 1 8 9 4 5 2 6 - 10 1 2
0 7 3 10 11 1 8 9 4 6 2 5 - 10 1 2
0 7 3 10 11 1 9 8 4 5 2 6 - 10 1 2
0 7 3 10 11 1 9 8 4 6 2 5 - 10 1 2
0 7 4 3 10 1 5 6 11 8 2 9 - 10 1 2
0 7 4 3 10 1 5 6 11 9 2 8 - 10 1 2
0 7 4 3 10 1 6 5 11 9 2 8 - 10 1 2
0 7 4 3 10 1 8 9 11 5 2 6 - 10 1 2
0 7 4 3 10 1 8 9 11 6 2 5 - 10 1 2
0 7 4 3 10 1 9 8 11 6 2 5 - 10 1 2
0 7 4 11 10 1 5 6 3 8 2 9 - 10 1 2
0 7 4 11 10 1 5 6 3 9 2 8 - 10 1 2
0 7 4 11 10 1 6 5 3 8 2 9 - 10 1 2
0 7 4 11 10 1 6 5 3 9 2 8 - 10 1 2
0 7 4 11 10 1 8 9 3 5 2 6 - 10 1 2
0 7 4 11 10 1 8 9 3 6 2 5 - 10 1 2
0 7 4 11 10 1 9 8 3 5 2 6 - 10 1 2
0 7 4 11 10 1 9 8 3 6 2 5 - 10 1 2
0 7 5 8 9 1 3 4 6 10 2 11 - 10 1 2
0 7 5 8 9 1 3 4 6 11 2 10 - 10 1 2
0 7 5 8 9 1 4 3 6 10 2 11 - 10 1 2
0 7 5 8 9 1 4 3 6 11 2 10 - 10 1 2
0 7 6 3 8 1 4 5 11 9 2 10 - 10 1 2
0 7 6 3 8 1 4 5 11 10 2 9 - 10 1 2
0 7 6 3 8 1 5 4 11 9 2 10 - 10 1 2
0 7 6 3 8 1 5 4 11 10 2 9 - 10 1 2
0 7 6 11 8 1 9 10 3 5 2 4 - 10 1 2
0 7 6 11 8 1 10 9 3 5 2 4 - 10 1 2
0 7 8 3 6 1 4 5 11 9 2 10 - 10 1 2
0 7 8 3 6 1 4 5 11 10 2 9 - 10 1 2
0 7 8 3 6 1 5 4 11 9 2 10 - 10 1 2
0 7 8 3 6 1 5 4 11 10 2 9 - 10 1 2
0 7 8 5 6 1 3 4 9 10 2 11 - 10 1 2
0 7 8 5 6 1 3 4 9 11 2 10 - 10 1 2
0 7 8 5 6 1 4 3 9 10 2 11 - 10 1 2
0 7 8 5 6 1 4 3 9 11 2 10 - 10 1 2
0 7 8 11 6 1 9 10 3 5 2 4 - 10 1 2
0 7 8 11 6 1 10 9 3 5 2 4 - 10 1 2
0 7 9 6 5 1 3 4 8 10 2 11 - 10 1 2
0 7 9 6 5 1 3 4 8 11 2 10 - 10 1 2
0 7 9 6 5 1 4 3 8 10 2 11 - 10 1 2
0 7 9 6 5 1 4 3 8 11 2 10 - 10 1 2
0 7 10 3 4 1 5 6 11 8 2 9 - 10 1 2
0 7 10 3 4 1 5 6 11 9 2 8 - 10 1 2
0 7 10 3 4 1 6 5 11 9 2 8 - 10 1 2
0 7 10 3 4 1 8 9 11 5 2 6 - 10 1 2
0 7 10 3 4 1 8 9 11 6 2 5 - 10 1 2
0 7 10 3 4 1 9 8 11 6 2 5 - 10 1 2
0 7 10 11 4 1 5 6 3 8 2 9 - 10 1 2
0 7 10 11 4 1 5 6 3 9 2 8 - 10 1 2
0 7 10 11 4 1 6 5 3 8 2 9 - 10 1 2
0 7 10 11 4 1 6 5 3 9 2 8 - 10 1 2
0 7 10 11 4 1 8 9 3 5 2 6 - 10 1 2
0 7 10 11 4 1 8 9 3 6 2 5 - 10 1 2
0 7 10 11 4 1 9 8 3 5 2 6 - 10 1 2
0 7 10 11 4 1 9 8 3 6 2 5 - 10 1 2
0 7 11 4 3 1 5 6 10 8 2 9 - 10 1 2
0 7 11 4 3 1 5 6 10 9 2 8 - 10 1 2
0 7 11 4 3 1 6 5 10 8 2 9 - 10 1 2
0 7 11 4 3 1 6 5 10 9 2 8 - 10 1 2
0 7 11 6 3 1 4 5 8 9 2 10 - 10 1 2
0 7 11 6 3 1 4 5 8 10 2 9 - 10 1 2
0 7 11 6 3 1 5 4 8 9 2 10 - 10 1 2
0 7 11 6 3 1 5 4 8 10 2 9 - 10 1 2
0 7 11 8 3 1 9 10 6 4 2 5 - 10 1 2
0 7 11 8 3 1 9 10 6 5 2 4 - 10 1 2
0 7 11 8 3 1 10 9 6 4 2 5 - 10 1 2
0 7 11 8 3 1 10 9 6 5 2 4 - 10 1 2
0 7 11 10 3 1 8 9 4 5 2 6 - 10 1 2
0 7 11 10 3 1 8 9 4 6 2 5 - 10 1 2
0 7 11 10 3 1 9 8 4 5 2 6 - 10 1 2
0 7 11 10 3 1 9 8 4 6 2 5 - 10 1 2
found 107 solutions.



ri/8/0:..............C  F# E  A  Bb D  G  B  F  Eb C# Ab 
p/0/0:...............C  G  F  Eb A  C# F# Bb B  E  D  Ab 

ri/9/7:..............C  F# E  D  A  C# G  F  Bb B  Eb Ab 
p/0/0:...............C  G  F  Eb A  C# F# Bb B  E  D  Ab 

ri/7/10:.............C  G  B  F  Eb Ab A  C# F# Bb E  D  
p/0/0:...............C  G  F  Eb A  C# F# Bb B  E  D  Ab
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Old 8th February 2018, 08:02 AM   #125
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Originally Posted by calebprime View Post
The other thing -- I have no idea how gnarly -- is to make it possible to have any length strings as input and output.
Yeah there's a gnarly downside to using a spreadsheet.

I have a thought. Desperate times call for desperate measures, no pun intended. All I need is to be on phone hold for an hour and a half.
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Old 9th February 2018, 04:45 AM   #126
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Today I just threw something together with the new technique of sketching out a self-similarity pattern, then performing the necessary order reassignment.

The results seemed to be distinct and to have a mediocre (ugly, sprawling) orbit pattern at 6, or the diabolic tritone, with a huge group. That was unusual. Plus there was a better pattern at 8, or down a major third. There may be others.



Code:
Melon Money

0  1  2  3  4  5  6  7  8  9  10  11
C  D  A  F  F# B  A# G  E  G# D#  C#     



C,  D,  A,  F,  F#, B,  A#, G,  E,  G#, D#, C#
A#, C,  G,  D#, E,  A,  G#, F,  D,  F#, C#, B
D#, F,  C,  G#, A,  D,  C#, A#, G,  B,  F#, E
G,  A,  E,  C,  C#, F#, F,  D,  B,  D#, A#, G#
F#, G#, D#, B,  C,  F,  E,  C#, A#, D,  A,  G    -----> complete
C#, D#, A#, F#, G,  C,  B,  G#, F,  A,  E,  D
D,  E,  B,  G,  G#, C#, C,  A,  F#, A#, F,  D#
F,  G,  D,  A#, B,  E,  D#, C,  A,  C#, G#, F#
G#, A#, F,  C#, D,  G,  F#, D#, C,  E,  B,  A
E,  F#, C#, A,  A#, D#, D,  B,  G#, C,  G,  F
A,  B,  F#, D,  D#, G#, G,  E,  C#, F,  C,  A#
B,  C#, G#, E,  F,  A#, A,  F#, D#, G,  D,  C       <-------


0   1   2   3   4   5   6   7   8   9   10  11   
F#, G#, D#, B,  C,  F,  E,  C#, A#, D,  A,  G 
................c...................d...a.........
....................f...........................
f#..........b...................a#..........g....
........................e.......................
....g#..d#..................c#

3,840 solutions

4,9,10,5,0,3,8,11,6,1,2,7

C,  D,  A,  F,  F#, B,  A#, G,  E,  G#, D#, C#



D,  E,  B,  G,  G#, C#, C,  A,  F#, A#, F,  D#
........................c........................
d...........................a...........f........


0   1   2   3   4   5   6   7   8   9  10   11   
G#, A#, F,  C#, D,  G,  F#, D#, C,  E,  B,  A
................................c...............
................d...........................a...
........f...............f#..............b.......
....a#..............g...............e...........
g#..........................d#..................
............c#


8,4,11,2,6,10,1,5,9,0,7,3




working...
0 1 2 6 9 3 5 7 8 4 11 10 - 12 0 0
0 1 2 6 9 7 5 11 8 4 3 10 - 12 0 0
0 11 10 2 7 9 3 1 8 4 5 6 - 12 0 0
found 162 solutions.

Every-other square:

C,  D,  A,  F,  F#, B,  A#, G,  E,  G#, D#, C#
D,  F,  B,  G,  G#, C#, C,  A,  F#, A#, E,  D#
F,  G,  C#, A,  A#, D#, D,  B,  G#, C,  F#, E
G,  A,  D#, B,  C,  E,  F,  C#, A#, D,  G#, F#
A,  B,  E,  C#, D,  F#, G,  D#, C,  F,  A#, G#
B,  C#, F#, D#, F,  G#, A,  E,  D,  G,  C,  A#
C#, D#, G#, E,  G,  A#, B,  F#, F,  A,  D,  C
D#, E,  A#, F#, A,  C,  C#, G#, G,  B,  F,  D
E,  F#, C,  G#, B,  D,  D#, A#, A,  C#, G,  F
F#, G#, D,  A#, C#, F,  E,  C,  B,  D#, A,  G
G#, A#, F,  C,  D#, G,  F#, D,  C#, E,  B,  A
A#, C,  G,  D,  E,  A,  G#, F,  D#, F#, C#, B

Last edited by calebprime; 9th February 2018 at 05:59 AM.
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Old 10th February 2018, 03:30 AM   #127
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Summary so far.

I'm looking for number series with self-similar properties. In particular, 12-tone rows with the multiple-order property.

There are two kinds.

There is self-similarity with accurate regular spacing and variable or inaccurate pitches. There is also the other kind of self-similarity -- accurate pitches but variable spacing.

This study aims to find series that have both of those properties to some degree. We can't be too specific about the exact parameters until we've seen what's there.

It turns out that there are at least a handful of such series.

A simple way to generate the first kind of self-sim was discovered. It remains to systematically generate all possibilities this way. Series generated this way have very good self-sim of the first kind but there's no promise that the series will be good in other ways.

I seem to have a touch of flu or something today. Probably not much work will get done.
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Old 10th February 2018, 06:23 AM   #128
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Originally Posted by calebprime View Post
...

A simple way to generate the first kind of self-sim was discovered. It remains to systematically generate all possibilities this way. ...
Here's a good first approximation of all the best columns. These now need to be converted via the re-ordering to self-similar series, so we can hear them.



C2,C#2,D#2,E2,F2,F#2,G2,G#2,A2,A#2,B2,D3
C2,C#2,D#2,E2,F#2,G2,G#2,A2,A#2,B2,D3,F3
C2,C#2,D#2,E2,F#2,G2,A2,A#2,B2,D3,F3,G#3
C2,C#2,D#2,E2,F#2,G2,A2,B2,D3,F3,G#3,A#3
C2,C#2,D#2,E2,F#2,G2,A#2,B2,D3,F3,G#3,A3
C2,C#2,D#2,E2,F#2,G#2,A2,A#2,B2,D3,F3,G3
C2,C#2,D#2,E2,F#2,G#2,A2,B2,D3,F3,G3,A#3
C2,C#2,D#2,E2,F#2,G#2,A#2,B2,D3,F3,G3,A3
C2,C#2,D#2,E2,F#2,G#2,B2,D3,F3,G3,A3,A#3
C2,C#2,D#2,E2,F#2,A2,A#2,B2,D3,F3,G3,G#3
C2,C#2,D#2,E2,F#2,A2,B2,D3,F3,G3,G#3,A#3
C2,C#2,D#2,E2,G2,G#2,A2,A#2,B2,D3,F3,F#3
C2,C#2,D#2,E2,G2,G#2,A#2,B2,D3,F3,F#3,A3
C2,C#2,D#2,E2,G2,G#2,B2,D3,F3,F#3,A3,A#3
C2,C#2,D#2,E2,G2,A2,A#2,B2,D3,F3,F#3,G#3
C2,C#2,D#2,E2,G2,A2,B2,D3,F3,F#3,G#3,A#3
C2,C#2,D#2,E2,G2,A#2,B2,D3,F3,F#3,G#3,A3
C2,C#2,D#2,F2,F#2,G2,G#2,A2,A#2,B2,D3,E3
C2,C#2,D#2,F2,F#2,G#2,A2,A#2,B2,D3,E3,G3
C2,C#2,D#2,F2,F#2,G#2,A2,B2,D3,E3,G3,A#3
C2,C#2,D#2,F2,F#2,G#2,A#2,B2,D3,E3,G3,A3
C2,C#2,D#2,F2,F#2,G#2,B2,D3,E3,G3,A3,A#3
C2,C#2,D#2,F2,F#2,A2,A#2,B2,D3,E3,G3,G#3
C2,C#2,D#2,F2,F#2,A2,B2,D3,E3,G3,G#3,A#3
C2,C#2,D#2,F2,G2,G#2,A2,A#2,B2,D3,E3,F#3
C2,C#2,D#2,F2,G2,G#2,A#2,B2,D3,E3,F#3,A3
C2,C#2,D#2,F2,G2,G#2,B2,D3,E3,F#3,A3,A#3
C2,C#2,D#2,F2,G2,A2,A#2,B2,D3,E3,F#3,G#3
C2,C#2,D#2,F2,G2,A2,B2,D3,E3,F#3,G#3,A#3
C2,C#2,D#2,F2,G2,A#2,B2,D3,E3,F#3,G#3,A3
C2,C#2,D#2,F2,G#2,A2,A#2,B2,D3,E3,F#3,G3
C2,C#2,D#2,F2,G#2,A2,B2,D3,E3,F#3,G3,A#3
C2,C#2,D#2,F2,G#2,A#2,B2,D3,E3,F#3,G3,A3
C2,C#2,D#2,F2,G#2,B2,D3,E3,F#3,G3,A3,A#3
C2,C#2,D#2,F#2,G2,G#2,A2,A#2,B2,D3,E3,F3
C2,C#2,D#2,F#2,G2,A2,A#2,B2,D3,E3,F3,G#3
C2,C#2,D#2,F#2,G2,A2,B2,D3,E3,F3,G#3,A#3
C2,C#2,D#2,F#2,G2,A#2,B2,D3,E3,F3,G#3,A3
C2,C#2,D#2,F#2,G#2,A2,A#2,B2,D3,E3,F3,G3
C2,C#2,D#2,F#2,G#2,A2,B2,D3,E3,F3,G3,A#3
C2,C#2,D#2,F#2,G#2,A#2,B2,D3,E3,F3,G3,A3
C2,C#2,D#2,F#2,G#2,B2,D3,E3,F3,G3,A3,A#3
C2,C#2,D#2,F#2,A2,A#2,B2,D3,E3,F3,G3,G#3
C2,C#2,D#2,F#2,A2,B2,D3,E3,F3,G3,G#3,A#3
C2,C#2,E2,F2,F#2,G2,G#2,A2,A#2,B2,D3,D#3
C2,C#2,E2,F2,G2,G#2,A2,A#2,B2,D3,D#3,F#3
C2,C#2,E2,F2,G2,G#2,A#2,B2,D3,D#3,F#3,A3
C2,C#2,E2,F2,G2,G#2,B2,D3,D#3,F#3,A3,A#3
C2,C#2,E2,F2,G2,A2,A#2,B2,D3,D#3,F#3,G#3
C2,C#2,E2,F2,G2,A2,B2,D3,D#3,F#3,G#3,A#3
C2,C#2,E2,F2,G2,A#2,B2,D3,D#3,F#3,G#3,A3
C2,C#2,E2,F2,G#2,A2,A#2,B2,D3,D#3,F#3,G3
C2,C#2,E2,F2,G#2,A2,B2,D3,D#3,F#3,G3,A#3
C2,C#2,E2,F2,G#2,A#2,B2,D3,D#3,F#3,G3,A3
C2,C#2,E2,F2,G#2,B2,D3,D#3,F#3,G3,A3,A#3
C2,C#2,E2,F#2,G2,G#2,A2,A#2,B2,D3,D#3,F3
C2,C#2,E2,F#2,G2,A2,A#2,B2,D3,D#3,F3,G#3
C2,C#2,E2,F#2,G2,A2,B2,D3,D#3,F3,G#3,A#3
C2,C#2,E2,F#2,G2,A#2,B2,D3,D#3,F3,G#3,A3
C2,C#2,E2,F#2,G#2,A2,A#2,B2,D3,D#3,F3,G3
C2,C#2,E2,F#2,G#2,A2,B2,D3,D#3,F3,G3,A#3
C2,C#2,E2,F#2,G#2,A#2,B2,D3,D#3,F3,G3,A3
C2,C#2,E2,F#2,G#2,B2,D3,D#3,F3,G3,A3,A#3
C2,C#2,E2,F#2,A2,A#2,B2,D3,D#3,F3,G3,G#3
C2,C#2,E2,F#2,A2,B2,D3,D#3,F3,G3,G#3,A#3
C2,C#2,E2,G2,G#2,A2,A#2,B2,D3,D#3,F3,F#3
C2,C#2,E2,G2,G#2,A#2,B2,D3,D#3,F3,F#3,A3
C2,C#2,E2,G2,G#2,B2,D3,D#3,F3,F#3,A3,A#3
C2,C#2,E2,G2,A2,A#2,B2,D3,D#3,F3,F#3,G#3
C2,C#2,E2,G2,A2,B2,D3,D#3,F3,F#3,G#3,A#3
C2,C#2,E2,G2,A#2,B2,D3,D#3,F3,F#3,G#3,A3
C2,D2,D#2,E2,F2,F#2,G2,G#2,A2,A#2,B2,C#3
C2,D2,D#2,F2,F#2,G2,G#2,A2,A#2,B2,C#3,E3
C2,D2,D#2,F2,F#2,G#2,A2,A#2,B2,C#3,E3,G3
C2,D2,D#2,F2,F#2,G#2,A2,B2,C#3,E3,G3,A#3
C2,D2,D#2,F2,F#2,G#2,A#2,B2,C#3,E3,G3,A3
C2,D2,D#2,F2,F#2,G#2,A#2,C#3,E3,G3,A3,B3
C2,D2,D#2,F2,F#2,G#2,B2,C#3,E3,G3,A3,A#3
C2,D2,D#2,F2,F#2,A2,A#2,B2,C#3,E3,G3,G#3
C2,D2,D#2,F2,F#2,A2,A#2,C#3,E3,G3,G#3,B3
C2,D2,D#2,F2,F#2,A2,B2,C#3,E3,G3,G#3,A#3
C2,D2,D#2,F2,G2,G#2,A2,A#2,B2,C#3,E3,F#3
C2,D2,D#2,F2,G2,G#2,A#2,B2,C#3,E3,F#3,A3
C2,D2,D#2,F2,G2,G#2,A#2,C#3,E3,F#3,A3,B3
C2,D2,D#2,F2,G2,G#2,B2,C#3,E3,F#3,A3,A#3
C2,D2,D#2,F2,G2,A2,A#2,B2,C#3,E3,F#3,G#3
C2,D2,D#2,F2,G2,A2,A#2,C#3,E3,F#3,G#3,B3
C2,D2,D#2,F2,G2,A2,B2,C#3,E3,F#3,G#3,A#3
C2,D2,D#2,F2,G2,A#2,B2,C#3,E3,F#3,G#3,A3
C2,D2,D#2,F2,G2,A#2,C#3,E3,F#3,G#3,A3,B3
C2,D2,D#2,F2,G#2,A2,A#2,B2,C#3,E3,F#3,G3
C2,D2,D#2,F2,G#2,A2,B2,C#3,E3,F#3,G3,A#3
C2,D2,D#2,F2,G#2,A#2,B2,C#3,E3,F#3,G3,A3
C2,D2,D#2,F2,G#2,A#2,C#3,E3,F#3,G3,A3,B3
C2,D2,D#2,F2,G#2,B2,C#3,E3,F#3,G3,A3,A#3
C2,D2,D#2,F#2,G2,G#2,A2,A#2,B2,C#3,E3,F3
C2,D2,D#2,F#2,G2,A2,A#2,B2,C#3,E3,F3,G#3
C2,D2,D#2,F#2,G2,A2,A#2,C#3,E3,F3,G#3,B3
C2,D2,D#2,F#2,G2,A2,B2,C#3,E3,F3,G#3,A#3
C2,D2,D#2,F#2,G2,A#2,B2,C#3,E3,F3,G#3,A3
C2,D2,D#2,F#2,G2,A#2,C#3,E3,F3,G#3,A3,B3
C2,D2,D#2,F#2,G#2,A2,A#2,B2,C#3,E3,F3,G3
C2,D2,D#2,F#2,G#2,A2,B2,C#3,E3,F3,G3,A#3
C2,D2,D#2,F#2,G#2,A#2,B2,C#3,E3,F3,G3,A3
C2,D2,D#2,F#2,G#2,A#2,C#3,E3,F3,G3,A3,B3
C2,D2,D#2,F#2,G#2,B2,C#3,E3,F3,G3,A3,A#3
C2,D2,D#2,F#2,A2,A#2,B2,C#3,E3,F3,G3,G#3
C2,D2,D#2,F#2,A2,A#2,C#3,E3,F3,G3,G#3,B3
C2,D2,D#2,F#2,A2,B2,C#3,E3,F3,G3,G#3,A#3
C2,D2,E2,F2,F#2,G2,G#2,A2,A#2,B2,C#3,D#3
C2,D2,E2,F2,G2,G#2,A2,A#2,B2,C#3,D#3,F#3
C2,D2,E2,F2,G2,G#2,A#2,B2,C#3,D#3,F#3,A3
C2,D2,E2,F2,G2,G#2,A#2,C#3,D#3,F#3,A3,B3
C2,D2,E2,F2,G2,G#2,B2,C#3,D#3,F#3,A3,A#3
C2,D2,E2,F2,G2,A2,A#2,B2,C#3,D#3,F#3,G#3
C2,D2,E2,F2,G2,A2,A#2,C#3,D#3,F#3,G#3,B3
C2,D2,E2,F2,G2,A2,B2,C#3,D#3,F#3,G#3,A#3
C2,D2,E2,F2,G2,A#2,B2,C#3,D#3,F#3,G#3,A3
C2,D2,E2,F2,G2,A#2,C#3,D#3,F#3,G#3,A3,B3
C2,D2,E2,F2,G#2,A2,A#2,B2,C#3,D#3,F#3,G3
C2,D2,E2,F2,G#2,A2,B2,C#3,D#3,F#3,G3,A#3
C2,D2,E2,F2,G#2,A#2,B2,C#3,D#3,F#3,G3,A3
C2,D2,E2,F2,G#2,A#2,C#3,D#3,F#3,G3,A3,B3
C2,D2,E2,F2,G#2,B2,C#3,D#3,F#3,G3,A3,A#3
C2,D2,E2,F#2,G2,G#2,A2,A#2,B2,C#3,D#3,F3
C2,D2,E2,F#2,G2,A2,A#2,B2,C#3,D#3,F3,G#3
C2,D2,E2,F#2,G2,A2,A#2,C#3,D#3,F3,G#3,B3
C2,D2,E2,F#2,G2,A2,B2,C#3,D#3,F3,G#3,A#3
C2,D2,E2,F#2,G2,A#2,B2,C#3,D#3,F3,G#3,A3
C2,D2,E2,F#2,G2,A#2,C#3,D#3,F3,G#3,A3,B3
C2,D2,E2,F#2,G#2,A2,A#2,B2,C#3,D#3,F3,G3
C2,D2,E2,F#2,G#2,A2,B2,C#3,D#3,F3,G3,A#3
C2,D2,E2,F#2,G#2,A#2,B2,C#3,D#3,F3,G3,A3
C2,D2,E2,F#2,G#2,A#2,C#3,D#3,F3,G3,A3,B3
C2,D2,E2,F#2,G#2,B2,C#3,D#3,F3,G3,A3,A#3
C2,D2,E2,F#2,A2,A#2,B2,C#3,D#3,F3,G3,G#3
C2,D2,E2,F#2,A2,A#2,C#3,D#3,F3,G3,G#3,B3
C2,D2,E2,F#2,A2,B2,C#3,D#3,F3,G3,G#3,A#3
C2,D2,E2,G2,G#2,A2,A#2,B2,C#3,D#3,F3,F#3
C2,D2,E2,G2,G#2,A#2,B2,C#3,D#3,F3,F#3,A3
C2,D2,E2,G2,G#2,A#2,C#3,D#3,F3,F#3,A3,B3
C2,D2,E2,G2,G#2,B2,C#3,D#3,F3,F#3,A3,A#3
C2,D2,E2,G2,A2,A#2,B2,C#3,D#3,F3,F#3,G#3
C2,D2,E2,G2,A2,A#2,C#3,D#3,F3,F#3,G#3,B3
C2,D2,E2,G2,A2,B2,C#3,D#3,F3,F#3,G#3,A#3
C2,D2,E2,G2,A#2,B2,C#3,D#3,F3,F#3,G#3,A3
C2,D2,E2,G2,A#2,C#3,D#3,F3,F#3,G#3,A3,B3
C2,D2,F2,F#2,G2,G#2,A2,A#2,B2,C#3,D#3,E3
C2,D2,F2,F#2,G#2,A2,A#2,B2,C#3,D#3,E3,G3
C2,D2,F2,F#2,G#2,A2,B2,C#3,D#3,E3,G3,A#3
C2,D2,F2,F#2,G#2,A#2,B2,C#3,D#3,E3,G3,A3
C2,D2,F2,F#2,G#2,A#2,C#3,D#3,E3,G3,A3,B3
C2,D2,F2,F#2,G#2,B2,C#3,D#3,E3,G3,A3,A#3
C2,D2,F2,F#2,A2,A#2,B2,C#3,D#3,E3,G3,G#3
C2,D2,F2,F#2,A2,A#2,C#3,D#3,E3,G3,G#3,B3
C2,D2,F2,F#2,A2,B2,C#3,D#3,E3,G3,G#3,A#3
C2,D2,F2,G2,G#2,A2,A#2,B2,C#3,D#3,E3,F#3
C2,D2,F2,G2,G#2,A#2,B2,C#3,D#3,E3,F#3,A3
C2,D2,F2,G2,G#2,A#2,C#3,D#3,E3,F#3,A3,B3
C2,D2,F2,G2,G#2,B2,C#3,D#3,E3,F#3,A3,A#3
C2,D2,F2,G2,A2,A#2,B2,C#3,D#3,E3,F#3,G#3
C2,D2,F2,G2,A2,A#2,C#3,D#3,E3,F#3,G#3,B3
C2,D2,F2,G2,A2,B2,C#3,D#3,E3,F#3,G#3,A#3
C2,D2,F2,G2,A#2,B2,C#3,D#3,E3,F#3,G#3,A3
C2,D2,F2,G2,A#2,C#3,D#3,E3,F#3,G#3,A3,B3
C2,D2,F2,G#2,A2,A#2,B2,C#3,D#3,E3,F#3,G3
C2,D2,F2,G#2,A2,B2,C#3,D#3,E3,F#3,G3,A#3
C2,D2,F2,G#2,A#2,B2,C#3,D#3,E3,F#3,G3,A3
C2,D2,F2,G#2,A#2,C#3,D#3,E3,F#3,G3,A3,B3
C2,D2,F2,G#2,B2,C#3,D#3,E3,F#3,G3,A3,A#3
C2,D#2,E2,F2,F#2,G2,G#2,A2,A#2,B2,C#3,D3
C2,D#2,E2,F#2,G2,G#2,A2,A#2,B2,C#3,D3,F3
C2,D#2,E2,F#2,G2,A2,A#2,B2,C#3,D3,F3,G#3
C2,D#2,E2,F#2,G2,A2,A#2,C#3,D3,F3,G#3,B3
C2,D#2,E2,F#2,G2,A2,B2,C#3,D3,F3,G#3,A#3
C2,D#2,E2,F#2,G2,A2,B2,D3,F3,G#3,A#3,C#4
C2,D#2,E2,F#2,G2,A#2,B2,C#3,D3,F3,G#3,A3
C2,D#2,E2,F#2,G2,A#2,C#3,D3,F3,G#3,A3,B3
C2,D#2,E2,F#2,G#2,A2,A#2,B2,C#3,D3,F3,G3
C2,D#2,E2,F#2,G#2,A2,B2,C#3,D3,F3,G3,A#3
C2,D#2,E2,F#2,G#2,A2,B2,D3,F3,G3,A#3,C#4
C2,D#2,E2,F#2,G#2,A#2,B2,C#3,D3,F3,G3,A3
C2,D#2,E2,F#2,G#2,A#2,C#3,D3,F3,G3,A3,B3
C2,D#2,E2,F#2,G#2,B2,C#3,D3,F3,G3,A3,A#3
C2,D#2,E2,F#2,G#2,B2,D3,F3,G3,A3,A#3,C#4
C2,D#2,E2,F#2,A2,A#2,B2,C#3,D3,F3,G3,G#3
C2,D#2,E2,F#2,A2,A#2,C#3,D3,F3,G3,G#3,B3
C2,D#2,E2,F#2,A2,B2,C#3,D3,F3,G3,G#3,A#3
C2,D#2,E2,F#2,A2,B2,D3,F3,G3,G#3,A#3,C#4
C2,D#2,E2,G2,G#2,A2,A#2,B2,C#3,D3,F3,F#3
C2,D#2,E2,G2,G#2,A#2,B2,C#3,D3,F3,F#3,A3
C2,D#2,E2,G2,G#2,A#2,C#3,D3,F3,F#3,A3,B3
C2,D#2,E2,G2,G#2,B2,C#3,D3,F3,F#3,A3,A#3
C2,D#2,E2,G2,G#2,B2,D3,F3,F#3,A3,A#3,C#4
C2,D#2,E2,G2,A2,A#2,B2,C#3,D3,F3,F#3,G#3
C2,D#2,E2,G2,A2,A#2,C#3,D3,F3,F#3,G#3,B3
C2,D#2,E2,G2,A2,B2,C#3,D3,F3,F#3,G#3,A#3
C2,D#2,E2,G2,A2,B2,D3,F3,F#3,G#3,A#3,C#4
C2,D#2,E2,G2,A#2,B2,C#3,D3,F3,F#3,G#3,A3
C2,D#2,E2,G2,A#2,C#3,D3,F3,F#3,G#3,A3,B3
C2,D#2,F2,F#2,G2,G#2,A2,A#2,B2,C#3,D3,E3
C2,D#2,F2,F#2,G#2,A2,A#2,B2,C#3,D3,E3,G3
C2,D#2,F2,F#2,G#2,A2,B2,C#3,D3,E3,G3,A#3
C2,D#2,F2,F#2,G#2,A2,B2,D3,E3,G3,A#3,C#4
C2,D#2,F2,F#2,G#2,A#2,B2,C#3,D3,E3,G3,A3
C2,D#2,F2,F#2,G#2,A#2,C#3,D3,E3,G3,A3,B3
C2,D#2,F2,F#2,G#2,A#2,C#3,E3,G3,A3,B3,D4
C2,D#2,F2,F#2,G#2,B2,C#3,D3,E3,G3,A3,A#3
C2,D#2,F2,F#2,G#2,B2,D3,E3,G3,A3,A#3,C#4
C2,D#2,F2,F#2,A2,A#2,B2,C#3,D3,E3,G3,G#3
C2,D#2,F2,F#2,A2,A#2,C#3,D3,E3,G3,G#3,B3
C2,D#2,F2,F#2,A2,A#2,C#3,E3,G3,G#3,B3,D4
C2,D#2,F2,F#2,A2,B2,C#3,D3,E3,G3,G#3,A#3
C2,D#2,F2,F#2,A2,B2,D3,E3,G3,G#3,A#3,C#4
C2,D#2,F2,G2,G#2,A2,A#2,B2,C#3,D3,E3,F#3
C2,D#2,F2,G2,G#2,A#2,B2,C#3,D3,E3,F#3,A3
C2,D#2,F2,G2,G#2,A#2,C#3,D3,E3,F#3,A3,B3
C2,D#2,F2,G2,G#2,A#2,C#3,E3,F#3,A3,B3,D4
C2,D#2,F2,G2,G#2,B2,C#3,D3,E3,F#3,A3,A#3
C2,D#2,F2,G2,G#2,B2,D3,E3,F#3,A3,A#3,C#4
C2,D#2,F2,G2,A2,A#2,B2,C#3,D3,E3,F#3,G#3
C2,D#2,F2,G2,A2,A#2,C#3,D3,E3,F#3,G#3,B3
C2,D#2,F2,G2,A2,A#2,C#3,E3,F#3,G#3,B3,D4
C2,D#2,F2,G2,A2,B2,C#3,D3,E3,F#3,G#3,A#3
C2,D#2,F2,G2,A2,B2,D3,E3,F#3,G#3,A#3,C#4
C2,D#2,F2,G2,A#2,B2,C#3,D3,E3,F#3,G#3,A3
C2,D#2,F2,G2,A#2,C#3,D3,E3,F#3,G#3,A3,B3
C2,D#2,F2,G2,A#2,C#3,E3,F#3,G#3,A3,B3,D4
C2,D#2,F2,G#2,A2,A#2,B2,C#3,D3,E3,F#3,G3
C2,D#2,F2,G#2,A2,B2,C#3,D3,E3,F#3,G3,A#3
C2,D#2,F2,G#2,A2,B2,D3,E3,F#3,G3,A#3,C#4
C2,D#2,F2,G#2,A#2,B2,C#3,D3,E3,F#3,G3,A3
C2,D#2,F2,G#2,A#2,C#3,D3,E3,F#3,G3,A3,B3
C2,D#2,F2,G#2,A#2,C#3,E3,F#3,G3,A3,B3,D4
C2,D#2,F2,G#2,B2,C#3,D3,E3,F#3,G3,A3,A#3
C2,D#2,F2,G#2,B2,D3,E3,F#3,G3,A3,A#3,C#4
C2,D#2,F#2,G2,G#2,A2,A#2,B2,C#3,D3,E3,F3
C2,D#2,F#2,G2,A2,A#2,B2,C#3,D3,E3,F3,G#3
C2,D#2,F#2,G2,A2,A#2,C#3,D3,E3,F3,G#3,B3
C2,D#2,F#2,G2,A2,A#2,C#3,E3,F3,G#3,B3,D4
C2,D#2,F#2,G2,A2,B2,C#3,D3,E3,F3,G#3,A#3
C2,D#2,F#2,G2,A2,B2,D3,E3,F3,G#3,A#3,C#4
C2,D#2,F#2,G2,A2,B2,D3,F3,G#3,A#3,C#4,E4
C2,D#2,F#2,G2,A#2,B2,C#3,D3,E3,F3,G#3,A3
C2,D#2,F#2,G2,A#2,C#3,D3,E3,F3,G#3,A3,B3
C2,D#2,F#2,G2,A#2,C#3,E3,F3,G#3,A3,B3,D4
C2,D#2,F#2,G#2,A2,A#2,B2,C#3,D3,E3,F3,G3
C2,D#2,F#2,G#2,A2,B2,C#3,D3,E3,F3,G3,A#3
C2,D#2,F#2,G#2,A2,B2,D3,E3,F3,G3,A#3,C#4
C2,D#2,F#2,G#2,A2,B2,D3,F3,G3,A#3,C#4,E4
C2,D#2,F#2,G#2,A#2,B2,C#3,D3,E3,F3,G3,A3
C2,D#2,F#2,G#2,A#2,C#3,D3,E3,F3,G3,A3,B3
C2,D#2,F#2,G#2,A#2,C#3,E3,F3,G3,A3,B3,D4
C2,D#2,F#2,G#2,A#2,C#3,E3,G3,A3,B3,D4,F4
C2,D#2,F#2,G#2,B2,C#3,D3,E3,F3,G3,A3,A#3
C2,D#2,F#2,G#2,B2,D3,E3,F3,G3,A3,A#3,C#4
C2,D#2,F#2,G#2,B2,D3,F3,G3,A3,A#3,C#4,E4
C2,D#2,F#2,A2,A#2,B2,C#3,D3,E3,F3,G3,G#3
C2,D#2,F#2,A2,A#2,C#3,D3,E3,F3,G3,G#3,B3
C2,D#2,F#2,A2,A#2,C#3,E3,F3,G3,G#3,B3,D4
C2,D#2,F#2,A2,A#2,C#3,E3,G3,G#3,B3,D4,F4
C2,D#2,F#2,A2,B2,C#3,D3,E3,F3,G3,G#3,A#3
C2,D#2,F#2,A2,B2,D3,E3,F3,G3,G#3,A#3,C#4
C2,D#2,F#2,A2,B2,D3,F3,G3,G#3,A#3,C#4,E4
C2,D#2,F#2,A2,B2,D3,F3,G#3,A#3,C#4,E4,G4
found 265 solutions.



C2,D2,E2,F#2,G#2,A#2,C#3,F3,G3,A3,B3,D#4
C2,D2,E2,F#2,G#2,A#2,C#3,F3,A3,B3,D#4,G4
C2,D2,E2,F#2,G#2,B2,D#3,G3,A#3,C#4,F4,A4
C2,D2,E2,F#2,A2,B2,D#3,G3,A#3,C#4,F4,G#4
C2,D2,E2,F#2,A2,C#3,F3,G#3,B3,D#4,G4,A#4
C2,D2,E2,F#2,A#2,C#3,F3,G#3,B3,D#4,G4,A4
C2,D2,E2,G2,A2,B2,D#3,F#3,G#3,A#3,C#4,F4
C2,D2,E2,G2,A2,B2,D#3,F#3,A#3,C#4,F4,G#4
C2,D2,E2,G2,A2,C#3,F3,G#3,B3,D#4,F#4,A#4
C2,D2,E2,G2,A#2,C#3,F3,G#3,B3,D#4,F#4,A4
C2,D2,E2,G2,A#2,C#3,F3,A3,B3,D#4,F#4,G#4
C2,D2,E2,G2,B2,D#3,F#3,G#3,A#3,C#4,F4,A4
C2,D2,E2,G2,B2,D#3,F#3,A3,C#4,F4,G#4,A#4
C2,D2,E2,G#2,A#2,C#3,F3,G3,A3,B3,D#4,F#4
C2,D2,E2,G#2,A#2,C#3,F3,G3,B3,D#4,F#4,A4
C2,D2,E2,G#2,B2,D#3,F#3,A3,C#4,F4,G4,A#4
C2,D2,E2,G#2,B2,D#3,F#3,A#3,C#4,F4,G4,A4
C2,D2,F2,G2,A2,B2,D#3,F#3,G#3,A#3,C#4,E4
C2,D2,F2,G2,A2,B2,D#3,F#3,A#3,C#4,E4,G#4
C2,D2,F2,G2,A2,C#3,E3,G#3,B3,D#4,F#4,A#4
C2,D2,F2,G2,A#2,C#3,E3,G#3,B3,D#4,F#4,A4
C2,D2,F2,G2,B2,D#3,F#3,A3,C#4,E4,G#4,A#4
C2,D2,F2,G#2,A#2,C#3,E3,F#3,A3,B3,D#4,G4
C2,D2,F2,G#2,A#2,C#3,E3,G3,A3,B3,D#4,F#4
C2,D2,F2,G#2,A#2,C#3,E3,G3,B3,D#4,F#4,A4
C2,D2,F2,G#2,B2,D#3,F#3,A3,C#4,E4,G4,A#4
C2,D2,F2,G#2,B2,D#3,F#3,A#3,C#4,E4,G4,A4
C2,D2,F2,G#2,B2,D#3,G3,A3,C#4,E4,F#4,A#4
C2,D2,F2,G#2,B2,D#3,G3,A#3,C#4,E4,F#4,A4
C2,D2,F2,A2,B2,D#3,F#3,G#3,A#3,C#4,E4,G4
C2,D2,F2,A2,B2,D#3,G3,A#3,C#4,E4,F#4,G#4
C2,D2,F2,A2,C#3,E3,F#3,G#3,B3,D#4,G4,A#4
C2,D2,F2,A2,C#3,E3,G3,B3,D#4,F#4,G#4,A#4
C2,D2,F#2,G#2,A#2,C#3,E3,G3,A3,B3,D#4,F4
C2,D2,F#2,G#2,A#2,C#3,E3,G3,B3,D#4,F4,A4
C2,D2,F#2,G#2,B2,D#3,F3,A3,C#4,E4,G4,A#4
C2,D2,F#2,A2,B2,D#3,F3,G3,A#3,C#4,E4,G#4
C2,D2,F#2,A2,B2,D#3,F3,G#3,A#3,C#4,E4,G4
C2,D2,F#2,A2,C#3,E3,G3,B3,D#4,F4,G#4,A#4
C2,D2,F#2,A2,C#3,E3,G#3,B3,D#4,F4,G4,A#4
C2,D2,F#2,A#2,C#3,E3,G3,A3,B3,D#4,F4,G#4
C2,D2,F#2,A#2,C#3,E3,G#3,B3,D#4,F4,G4,A4
C2,D#2,F2,G2,A2,B2,C#3,E3,F#3,G#3,A#3,D4
C2,D#2,F2,G2,A2,B2,C#3,E3,G#3,A#3,D4,F#4
C2,D#2,F2,G2,A2,B2,D3,E3,F#3,G#3,A#3,C#4
C2,D#2,F2,G2,A2,B2,D3,F#3,G#3,A#3,C#4,E4
C2,D#2,F2,G2,A2,B2,D3,F#3,A#3,C#4,E4,G#4
C2,D#2,F2,G2,A2,C#3,E3,G#3,B3,D4,F#4,A#4
C2,D#2,F2,G2,A#2,C#3,E3,G#3,B3,D4,F#4,A4
C2,D#2,F2,G2,A#2,D3,F#3,A3,B3,C#4,E4,G#4
C2,D#2,F2,G2,A#2,D3,F#3,A3,C#4,E4,G#4,B4
C2,D#2,F2,G2,B2,C#3,E3,G#3,A#3,D4,F#4,A4
C2,D#2,F2,G2,B2,D3,F#3,A3,C#4,E4,G#4,A#4
C2,D#2,F2,G#2,A#2,C#3,E3,G3,A3,B3,D4,F#4
C2,D#2,F2,G#2,A#2,C#3,E3,G3,B3,D4,F#4,A4
C2,D#2,F2,G#2,A#2,D3,F#3,A3,B3,C#4,E4,G4
C2,D#2,F2,G#2,A#2,D3,F#3,A3,C#4,E4,G4,B4
C2,D#2,F2,G#2,B2,C#3,E3,G3,A#3,D4,F#4,A4
C2,D#2,F2,G#2,B2,D3,F#3,A3,C#4,E4,G4,A#4
C2,D#2,F2,G#2,B2,D3,F#3,A#3,C#4,E4,G4,A4
C2,D#2,F2,A2,B2,C#3,E3,G3,A#3,D4,F#4,G#4
C2,D#2,F2,A2,B2,D3,F#3,G#3,A#3,C#4,E4,G4
C2,D#2,F2,A2,C#3,E3,G3,A#3,D4,F#4,G#4,B4
C2,D#2,F2,A2,C#3,E3,G3,B3,D4,F#4,G#4,A#4
C2,D#2,F#2,G#2,A#2,C#3,E3,G3,A3,B3,D4,F4
C2,D#2,F#2,G#2,A#2,C#3,E3,G3,B3,D4,F4,A4
C2,D#2,F#2,G#2,A#2,C#3,F3,G3,A3,B3,D4,E4
C2,D#2,F#2,G#2,A#2,C#3,F3,A3,B3,D4,E4,G4
C2,D#2,F#2,G#2,A#2,D3,E3,G3,A3,B3,C#4,F4
C2,D#2,F#2,G#2,A#2,D3,E3,G3,B3,C#4,F4,A4
C2,D#2,F#2,G#2,A#2,D3,F3,G3,A3,B3,C#4,E4
C2,D#2,F#2,G#2,A#2,D3,F3,A3,B3,C#4,E4,G4
C2,D#2,F#2,G#2,A#2,D3,F3,A3,C#4,E4,G4,B4
C2,D#2,F#2,G#2,B2,C#3,E3,G3,A#3,D4,F4,A4
C2,D#2,F#2,G#2,B2,D3,E3,G3,A#3,C#4,F4,A4
C2,D#2,F#2,G#2,B2,D3,F3,A3,C#4,E4,G4,A#4
C2,D#2,F#2,A2,B2,C#3,E3,G3,A#3,D4,F4,G#4
C2,D#2,F#2,A2,B2,C#3,E3,G#3,A#3,D4,F4,G4
C2,D#2,F#2,A2,B2,C#3,F3,G3,A#3,D4,E4,G#4
C2,D#2,F#2,A2,B2,C#3,F3,G#3,A#3,D4,E4,G4
C2,D#2,F#2,A2,B2,D3,E3,G3,A#3,C#4,F4,G#4
C2,D#2,F#2,A2,B2,D3,E3,G#3,A#3,C#4,F4,G4
C2,D#2,F#2,A2,B2,D3,F3,G3,A#3,C#4,E4,G#4
C2,D#2,F#2,A2,B2,D3,F3,G#3,A#3,C#4,E4,G4
C2,D#2,F#2,A2,C#3,E3,G3,A#3,D4,F4,G#4,B4
C2,D#2,F#2,A2,C#3,E3,G3,B3,D4,F4,G#4,A#4
C2,D#2,F#2,A2,C#3,E3,G#3,A#3,D4,F4,G4,B4
C2,D#2,F#2,A2,C#3,E3,G#3,B3,D4,F4,G4,A#4
C2,D#2,F#2,A2,C#3,F3,G3,A#3,D4,E4,G#4,B4
C2,D#2,F#2,A2,C#3,F3,G3,B3,D4,E4,G#4,A#4
C2,D#2,F#2,A2,C#3,F3,G#3,A#3,D4,E4,G4,B4
C2,D#2,F#2,A2,C#3,F3,G#3,B3,D4,E4,G4,A#4
C2,D#2,F#2,A#2,C#3,E3,G3,A3,B3,D4,F4,G#4
C2,D#2,F#2,A#2,C#3,E3,G#3,B3,D4,F4,G4,A4
C2,D#2,F#2,A#2,C#3,F3,G3,A3,B3,D4,E4,G#4
C2,D#2,F#2,A#2,C#3,F3,G#3,B3,D4,E4,G4,A4
C2,D#2,F#2,A#2,D3,E3,G3,A3,B3,C#4,F4,G#4
C2,D#2,F#2,A#2,D3,E3,G3,A3,C#4,F4,G#4,B4
C2,D#2,F#2,A#2,D3,E3,G#3,B3,C#4,F4,G4,A4
C2,D#2,F#2,A#2,D3,F3,G3,A3,B3,C#4,E4,G#4
C2,D#2,F#2,A#2,D3,F3,G3,A3,C#4,E4,G#4,B4
C2,D#2,F#2,A#2,D3,F3,G#3,B3,C#4,E4,G4,A4
C2,D#2,G2,A2,B2,C#3,E3,F#3,G#3,A#3,D4,F4
C2,D#2,G2,A2,B2,C#3,E3,F#3,A#3,D4,F4,G#4
C2,D#2,G2,A2,B2,C#3,F3,G#3,A#3,D4,E4,F#4
C2,D#2,G2,A2,B2,D3,E3,F#3,G#3,A#3,C#4,F4
C2,D#2,G2,A2,B2,D3,E3,F#3,A#3,C#4,F4,G#4
C2,D#2,G2,A2,B2,D3,F3,G#3,A#3,C#4,E4,F#4
C2,D#2,G2,A2,C#3,E3,F#3,A#3,D4,F4,G#4,B4
C2,D#2,G2,A2,C#3,F3,G#3,B3,D4,E4,F#4,A#4
C2,D#2,G2,A#2,C#3,E3,F#3,G#3,B3,D4,F4,A4
C2,D#2,G2,A#2,C#3,E3,F#3,A3,B3,D4,F4,G#4
C2,D#2,G2,A#2,C#3,F3,G#3,B3,D4,E4,F#4,A4
C2,D#2,G2,A#2,C#3,F3,A3,B3,D4,E4,F#4,G#4
C2,D#2,G2,A#2,D3,E3,F#3,G#3,B3,C#4,F4,A4
C2,D#2,G2,A#2,D3,E3,F#3,A3,B3,C#4,F4,G#4
C2,D#2,G2,A#2,D3,E3,F#3,A3,C#4,F4,G#4,B4
C2,D#2,G2,A#2,D3,F3,G#3,B3,C#4,E4,F#4,A4
C2,D#2,G2,A#2,D3,F3,A3,B3,C#4,E4,F#4,G#4
C2,D#2,G2,A#2,D3,F3,A3,C#4,E4,F#4,G#4,B4
C2,D#2,G2,B2,C#3,E3,F#3,G#3,A#3,D4,F4,A4
C2,D#2,G2,B2,C#3,F3,G#3,A#3,D4,E4,F#4,A4
C2,D#2,G2,B2,D3,E3,F#3,G#3,A#3,C#4,F4,A4
C2,D#2,G2,B2,D3,E3,F#3,A3,C#4,F4,G#4,A#4
C2,D#2,G2,B2,D3,F3,G#3,A#3,C#4,E4,F#4,A4
C2,D#2,G2,B2,D3,F3,A3,C#4,E4,F#4,G#4,A#4
C2,E2,F#2,G#2,A#2,C#3,D#3,F3,G3,A3,B3,D4
C2,E2,F#2,G#2,A#2,C#3,D#3,G3,A3,B3,D4,F4
C2,E2,F#2,G#2,A#2,C#3,D#3,G3,B3,D4,F4,A4
C2,E2,F#2,G#2,A#2,D3,F3,G3,A3,B3,C#4,D#4
C2,E2,F#2,G#2,A#2,D3,F3,A3,B3,C#4,D#4,G4
C2,E2,F#2,G#2,A#2,D3,F3,A3,C#4,D#4,G4,B4
C2,E2,F#2,G#2,B2,C#3,D#3,G3,A#3,D4,F4,A4
C2,E2,F#2,G#2,B2,D3,F3,A3,C#4,D#4,G4,A#4
C2,E2,F#2,G#2,B2,D#3,G3,A#3,D4,F4,A4,C#5
C2,E2,F#2,A2,B2,C#3,D#3,G3,A#3,D4,F4,G#4
C2,E2,F#2,A2,B2,D3,F3,G#3,A#3,C#4,D#4,G4
C2,E2,F#2,A2,C#3,D#3,G3,A#3,D4,F4,G#4,B4
C2,E2,F#2,A2,C#3,D#3,G3,B3,D4,F4,G#4,A#4
C2,E2,F#2,A2,C#3,F3,G#3,B3,D#4,G4,A#4,D5
C2,E2,F#2,A#2,C#3,D#3,G3,A3,B3,D4,F4,G#4
C2,E2,F#2,A#2,D3,F3,G#3,B3,C#4,D#4,G4,A4
C2,E2,F#2,A#2,D3,F3,G#3,B3,D#4,G4,A4,C#5
C2,E2,G2,A2,B2,C#3,D#3,F3,G#3,A#3,D4,F#4
C2,E2,G2,A2,B2,C#3,D#3,F#3,G#3,A#3,D4,F4
C2,E2,G2,A2,B2,C#3,D#3,F#3,A#3,D4,F4,G#4
C2,E2,G2,A2,B2,D3,F3,G#3,A#3,C#4,D#4,F#4
C2,E2,G2,A2,B2,D3,F#3,G#3,A#3,C#4,D#4,F4
C2,E2,G2,A2,B2,D3,F#3,A#3,C#4,D#4,F4,G#4
C2,E2,G2,A2,C#3,D#3,F3,G#3,B3,D4,F#4,A#4
C2,E2,G2,A2,C#3,D#3,F#3,A#3,D4,F4,G#4,B4
C2,E2,G2,A2,C#3,F3,G#3,B3,D#4,F#4,A#4,D5
C2,E2,G2,A#2,C#3,D#3,F3,G#3,B3,D4,F#4,A4
C2,E2,G2,A#2,C#3,D#3,F3,A3,B3,D4,F#4,G#4
C2,E2,G2,A#2,C#3,D#3,F#3,G#3,B3,D4,F4,A4
C2,E2,G2,A#2,C#3,D#3,F#3,A3,B3,D4,F4,G#4
C2,E2,G2,A#2,D3,F3,G#3,B3,C#4,D#4,F#4,A4
C2,E2,G2,A#2,D3,F3,G#3,B3,D#4,F#4,A4,C#5
C2,E2,G2,A#2,D3,F3,A3,B3,C#4,D#4,F#4,G#4
C2,E2,G2,A#2,D3,F3,A3,C#4,D#4,F#4,G#4,B4
C2,E2,G2,A#2,D3,F#3,G#3,B3,C#4,D#4,F4,A4
C2,E2,G2,A#2,D3,F#3,G#3,B3,D#4,F4,A4,C#5
C2,E2,G2,A#2,D3,F#3,A3,B3,C#4,D#4,F4,G#4
C2,E2,G2,A#2,D3,F#3,A3,C#4,D#4,F4,G#4,B4
C2,E2,G2,A#2,D3,F#3,A3,C#4,F4,G#4,B4,D#5
C2,E2,G2,B2,C#3,D#3,F3,G#3,A#3,D4,F#4,A4
C2,E2,G2,B2,C#3,D#3,F#3,G#3,A#3,D4,F4,A4
C2,E2,G2,B2,D3,F3,G#3,A#3,C#4,D#4,F#4,A4
C2,E2,G2,B2,D3,F3,A3,C#4,D#4,F#4,G#4,A#4
C2,E2,G2,B2,D3,F#3,G#3,A#3,C#4,D#4,F4,A4
C2,E2,G2,B2,D3,F#3,A3,C#4,D#4,F4,G#4,A#4
C2,E2,G2,B2,D#3,F3,G#3,A#3,D4,F#4,A4,C#5
C2,E2,G2,B2,D#3,F#3,G#3,A#3,D4,F4,A4,C#5
C2,E2,G2,B2,D#3,F#3,A3,C#4,F4,G#4,A#4,D5
C2,E2,G#2,A#2,C#3,D#3,F3,G3,A3,B3,D4,F#4
C2,E2,G#2,A#2,C#3,D#3,F3,G3,B3,D4,F#4,A4
C2,E2,G#2,A#2,C#3,D#3,F#3,A3,B3,D4,F4,G4
C2,E2,G#2,A#2,D3,F3,G3,A3,B3,C#4,D#4,F#4
C2,E2,G#2,A#2,D3,F3,G3,B3,C#4,D#4,F#4,A4
C2,E2,G#2,A#2,D3,F3,G3,B3,D#4,F#4,A4,C#5
C2,E2,G#2,A#2,D3,F#3,A3,B3,C#4,D#4,F4,G4
C2,E2,G#2,A#2,D3,F#3,A3,C#4,D#4,F4,G4,B4
C2,E2,G#2,A#2,D3,F#3,A3,C#4,F4,G4,B4,D#5
C2,E2,G#2,B2,C#3,D#3,F3,G3,A#3,D4,F#4,A4
C2,E2,G#2,B2,C#3,D#3,F#3,A#3,D4,F4,G4,A4
C2,E2,G#2,B2,D3,F3,G3,A3,C#4,D#4,F#4,A#4
C2,E2,G#2,B2,D3,F3,G3,A#3,C#4,D#4,F#4,A4
C2,E2,G#2,B2,D3,F#3,A3,C#4,D#4,F4,G4,A#4
C2,E2,G#2,B2,D3,F#3,A#3,C#4,D#4,F4,G4,A4
C2,E2,G#2,B2,D#3,F3,G3,A#3,D4,F#4,A4,C#5
C2,E2,G#2,B2,D#3,F#3,A3,C#4,F4,G4,A#4,D5
C2,E2,G#2,B2,D#3,F#3,A#3,D4,F4,G4,A4,C#5
C2,E2,G#2,B2,D#3,G3,A#3,D4,F#4,A4,C#5,F5





C2,D#2,F#2,A2,C#3,E3,G3,A#3,D4,F4,G#4,B4
C2,D#2,F#2,A2,C#3,F3,G#3,B3,E4,G4,A#4,D5
C2,D#2,F#2,A2,C#3,F3,A#3,D4,G4,B4,E5,G#5
C2,D#2,F#2,A2,D3,F3,G#3,B3,E4,G4,A#4,C#5
C2,D#2,F#2,A2,D3,G3,A#3,C#4,F4,G#4,B4,E5
C2,D#2,F#2,A2,D3,G3,B3,E4,G#4,C#5,F5,A#5
C2,D#2,F#2,A#2,C#3,F3,G#3,B3,E4,A4,D5,G5
C2,D#2,F#2,A#2,C#3,F3,A3,D4,G4,B4,E5,G#5
C2,D#2,F#2,A#2,D3,G3,B3,E4,G#4,C#5,F5,A5
C2,D#2,F#2,A#2,D3,G3,B3,E4,A4,C#5,F5,G#5
C2,D#2,F#2,B2,E3,G#3,C#4,F4,A4,D5,G5,A#5
C2,D#2,F#2,B2,E3,A3,D4,G4,A#4,C#5,F5,G#5
C2,D#2,G2,A#2,C#3,F3,G#3,B3,E4,A4,D5,F#5
C2,D#2,G2,A#2,C#3,F3,A3,D4,F#4,B4,E5,G#5
C2,D#2,G2,A#2,C#3,F#3,A3,D4,F4,G#4,B4,E5
C2,D#2,G2,A#2,C#3,F#3,B3,E4,A4,D5,F5,G#5
C2,D#2,G2,A#2,D3,F3,G#3,B3,E4,A4,C#5,F#5
C2,D#2,G2,A#2,D3,F3,G#3,C#4,F#4,B4,E5,A5
C2,D#2,G2,A#2,D3,F3,A3,C#4,F#4,B4,E5,G#5
C2,D#2,G2,A#2,D3,F#3,A3,C#4,F4,G#4,B4,E5
C2,D#2,G2,A#2,D3,F#3,B3,E4,G#4,C#5,F5,A5
C2,D#2,G2,A#2,D3,F#3,B3,E4,A4,C#5,F5,G#5
C2,D#2,G2,B2,E3,G#3,C#4,F4,A4,D5,F#5,A#5
C2,D#2,G2,B2,E3,G#3,C#4,F4,A#4,D5,F#5,A5
C2,D#2,G2,B2,E3,G#3,C#4,F#4,A4,D5,F5,A#5
C2,D#2,G2,B2,E3,G#3,C#4,F#4,A#4,D5,F5,A5
C2,D#2,G2,B2,E3,A3,C#4,F#4,A#4,D5,F5,G#5
C2,D#2,G2,B2,E3,A3,D4,F4,G#4,C#5,F#5,A#5
C2,D#2,G2,B2,E3,A3,D4,F#4,A#4,C#5,F5,G#5
C2,D#2,G#2,B2,E3,G3,A#3,C#4,F4,A4,D5,F#5
C2,D#2,G#2,B2,E3,G3,A#3,C#4,F#4,A4,D5,F5
C2,D#2,G#2,B2,E3,G3,A#3,D4,F4,A4,C#5,F#5
C2,D#2,G#2,B2,E3,G3,A#3,D4,F#4,A4,C#5,F5
C2,D#2,G#2,C#3,F3,A3,D4,F#4,B4,E5,G5,A#5
C2,D#2,G#2,C#3,F#3,B3,E4,G4,A#4,D5,F5,A5
C2,E2,G2,A#2,C#3,F3,G#3,B3,D#4,F#4,A4,D5
C2,E2,G2,A#2,C#3,F3,A3,D4,F#4,B4,D#5,G#5
C2,E2,G2,A#2,C#3,F#3,A3,D4,F4,G#4,B4,D#5
C2,E2,G2,A#2,D3,F3,G#3,B3,D#4,F#4,A4,C#5
C2,E2,G2,A#2,D3,F3,A3,C#4,F#4,B4,D#5,G#5
C2,E2,G2,A#2,D3,F#3,A3,C#4,F4,G#4,B4,D#5
C2,E2,G2,A#2,D3,F#3,B3,D#4,G#4,C#5,F5,A5
C2,E2,G2,A#2,D#3,F#3,A3,C#4,F4,G#4,B4,D5
C2,E2,G2,A#2,D#3,G#3,B3,D4,F4,A4,C#5,F#5
C2,E2,G2,A#2,D#3,G#3,B3,D4,F#4,A4,C#5,F5
C2,E2,G2,A#2,D#3,G#3,C#4,F4,A4,D5,F#5,B5
C2,E2,G2,A#2,D#3,G#3,C#4,F#4,B4,D5,F5,A5
C2,E2,G2,B2,D3,F3,A3,C#4,F#4,A#4,D#5,G#5
C2,E2,G2,B2,D3,F3,A#3,D#4,G#4,C#5,F#5,A5
C2,E2,G2,B2,D3,F#3,A3,C#4,F4,A#4,D#5,G#5
C2,E2,G2,B2,D3,F#3,A#3,D#4,G#4,C#5,F5,A5
C2,E2,G2,B2,D#3,G#3,C#4,F4,A4,D5,F#5,A#5
C2,E2,G2,B2,D#3,G#3,C#4,F4,A#4,D5,F#5,A5
C2,E2,G2,B2,D#3,G#3,C#4,F#4,A4,D5,F5,A#5
C2,E2,G2,B2,D#3,G#3,C#4,F#4,A#4,D5,F5,A5
C2,E2,G#2,B2,D3,F3,A3,C#4,F#4,A#4,D#5,G5
C2,E2,G#2,B2,D3,F#3,A3,C#4,F4,A#4,D#5,G5
C2,E2,G#2,B2,D3,G3,A#3,D#4,F#4,A4,C#5,F5
C2,E2,G#2,B2,D#3,F#3,A3,C#4,F4,A#4,D5,G5
C2,E2,G#2,B2,D#3,F#3,A3,D4,G4,A#4,C#5,F5
C2,E2,G#2,B2,D#3,F#3,A#3,C#4,F4,A4,D5,G5
C2,E2,G#2,B2,D#3,G3,A#3,C#4,F4,A4,D5,F#5
C2,E2,G#2,B2,D#3,G3,A#3,C#4,F#4,A4,D5,F5
C2,E2,G#2,B2,D#3,G3,A#3,D4,F4,A4,C#5,F#5
C2,E2,G#2,B2,D#3,G3,A#3,D4,F#4,A4,C#5,F5
C2,E2,G#2,C#3,F3,A3,D4,F#4,A#4,D#5,G5,B5
C2,E2,G#2,C#3,F3,A3,D4,F#4,B4,D#5,G5,A#5
C2,E2,G#2,C#3,F3,A3,D4,G4,A#4,D#5,F#5,B5
C2,E2,G#2,C#3,F3,A3,D4,G4,B4,D#5,F#5,A#5
C2,E2,G#2,C#3,F3,A#3,D4,G4,B4,D#5,F#5,A5
C2,E2,G#2,C#3,F3,A#3,D#4,F#4,A4,D5,G5,B5
C2,E2,G#2,C#3,F3,A#3,D#4,G4,B4,D5,F#5,A5
C2,E2,G#2,C#3,F#3,A3,D4,F4,A#4,D#5,G5,B5
C2,E2,G#2,C#3,F#3,A#3,D#4,G4,B4,D5,F5,A5
C2,E2,G#2,C#3,F#3,B3,D#4,G4,A#4,D5,F5,A5
C2,E2,A2,C#3,F3,G#3,B3,D4,F#4,A#4,D#5,G5
C2,E2,A2,C#3,F3,G#3,B3,D4,G4,A#4,D#5,F#5
C2,E2,A2,C#3,F3,G#3,B3,D#4,F#4,A#4,D5,G5
C2,E2,A2,C#3,F3,G#3,B3,D#4,G4,A#4,D5,F#5
C2,E2,A2,C#3,F#3,A#3,D4,F4,G#4,B4,D#5,G5
C2,E2,A2,C#3,F#3,A#3,D#4,G4,B4,D5,F5,G#5
C2,E2,A2,C#3,F#3,B3,D#4,G4,A#4,D5,F5,G#5
C2,E2,A2,D3,F3,G#3,B3,D#4,G4,A#4,C#5,F#5
C2,E2,A2,D3,F3,G#3,C#4,F#4,A#4,D#5,G5,B5
C2,E2,A2,D3,F3,G#3,C#4,F#4,B4,D#5,G5,A#5
C2,E2,A2,D3,F#3,A#3,C#4,F4,G#4,B4,D#5,G5
C2,E2,A2,D3,F#3,B3,D#4,G4,A#4,C#5,F5,G#5
C2,E2,A2,D3,G3,A#3,C#4,F4,G#4,B4,D#5,F#5
C2,E2,A2,D3,G3,B3,D#4,F#4,A#4,C#5,F5,G#5
C2,F2,G#2,B2,D3,F#3,A3,C#4,E4,G4,A#4,D#5
C2,F2,G#2,B2,D3,G3,A#3,D#4,F#4,A4,C#5,E5
C2,F2,G#2,B2,D#3,F#3,A3,C#4,E4,G4,A#4,D5
C2,F2,G#2,B2,D#3,F#3,A3,D4,G4,A#4,C#5,E5
C2,F2,G#2,B2,D#3,F#3,A#3,C#4,E4,A4,D5,G5
C2,F2,G#2,B2,D#3,G3,A#3,C#4,E4,A4,D5,F#5
C2,F2,G#2,B2,D#3,G3,A#3,D4,F#4,A4,C#5,E5
C2,F2,G#2,C#3,E3,A3,D4,F#4,A#4,D#5,G5,B5
C2,F2,G#2,C#3,E3,A3,D4,F#4,B4,D#5,G5,A#5
C2,F2,G#2,C#3,E3,A3,D4,G4,A#4,D#5,F#5,B5
C2,F2,G#2,C#3,E3,A3,D4,G4,B4,D#5,F#5,A#5
C2,F2,G#2,C#3,F#3,A#3,D#4,G4,B4,E5,A5,D6
C2,F2,G#2,C#3,F#3,B3,E4,A4,D5,G5,A#5,D#6
C2,F2,A2,C#3,E3,G3,A#3,D4,F#4,B4,D#5,G#5
C2,F2,A2,C#3,E3,G3,A#3,D#4,G#4,B4,D5,F#5
C2,F2,A2,C#3,E3,G3,B3,D4,F#4,A#4,D#5,G#5
C2,F2,A2,C#3,E3,G#3,B3,D4,F#4,A#4,D#5,G5
C2,F2,A2,C#3,E3,G#3,B3,D4,G4,A#4,D#5,F#5
C2,F2,A2,C#3,E3,G#3,B3,D#4,F#4,A#4,D5,G5
C2,F2,A2,C#3,E3,G#3,B3,D#4,G4,A#4,D5,F#5
C2,F2,A2,D3,F#3,A#3,C#4,E4,G4,B4,D#5,G#5
C2,F2,A2,D3,F#3,A#3,C#4,E4,G#4,B4,D#5,G5
C2,F2,A2,D3,F#3,A#3,D#4,G4,B4,E5,G#5,C#6
C2,F2,A2,D3,F#3,A#3,D#4,G#4,C#5,E5,G5,B5
C2,F2,A2,D3,F#3,B3,D#4,G4,A#4,C#5,E5,G#5
C2,F2,A2,D3,F#3,B3,D#4,G#4,C#5,E5,G5,A#5
C2,F2,A2,D3,F#3,B3,E4,G4,A#4,D#5,G#5,C#6
C2,F2,A2,D3,G3,A#3,C#4,E4,G#4,B4,D#5,F#5
C2,F2,A2,D3,G3,A#3,D#4,F#4,B4,E5,G#5,C#6
C2,F2,A2,D3,G3,A#3,D#4,G#4,C#5,F#5,B5,E6
C2,F2,A2,D3,G3,B3,D#4,F#4,A#4,C#5,E5,G#5
C2,F2,A2,D3,G3,B3,E4,G#4,C#5,F#5,A#5,D#6
C2,F2,A#2,C#3,E3,G#3,B3,D#4,F#4,A4,D5,G5
C2,F2,A#2,D3,F#3,A3,C#4,E4,G4,B4,D#5,G#5
C2,F2,A#2,D3,F#3,A3,C#4,E4,G#4,B4,D#5,G5
C2,F2,A#2,D3,G3,B3,D#4,F#4,A4,C#5,E5,G#5
C2,F2,A#2,D#3,F#3,A3,C#4,E4,G#4,B4,D5,G5
C2,F2,A#2,D#3,F#3,A3,D4,G4,B4,E5,G#5,C#6
C2,F2,A#2,D#3,G3,B3,D4,F#4,A4,C#5,E5,G#5
C2,F2,A#2,D#3,G3,B3,E4,G#4,C#5,F#5,A5,D6
C2,F2,A#2,D#3,G#3,B3,D4,F#4,A4,C#5,E5,G5
C2,F2,A#2,D#3,G#3,C#4,E4,G4,B4,D5,F#5,A5
C2,F2,A#2,D#3,G#3,C#4,F#4,A4,D5,G5,B5,E6
C2,F2,A#2,D#3,G#3,C#4,F#4,B4,E5,A5,D6,G6
found 133 solutions.




C2,E2,G#2,C#3,F3,A3,D4,F#4,A#4,D#5,G5,B5
C2,E2,G#2,C#3,F#3,A#3,D4,G4,B4,F5,A5,D#6
C2,E2,G#2,C#3,F#3,A#3,D#4,G4,B4,F5,A5,D6
C2,E2,G#2,C#3,F#3,A#3,D#4,A4,D5,G5,B5,F6
C2,E2,G#2,C#3,F#3,B3,F4,A#4,D#5,A5,D6,G6
C2,E2,G#2,C#3,G3,B3,F4,A4,D5,F#5,A#5,D#6
C2,E2,G#2,C#3,G3,B3,F4,A#4,D#5,A5,D6,F#6
C2,E2,G#2,D3,F#3,A#3,D#4,G4,B4,F5,A5,C#6
C2,E2,G#2,D3,F#3,A#3,D#4,A4,C#5,G5,B5,F6
C2,E2,G#2,D3,F#3,B3,F4,A#4,D#5,A5,C#6,G6
C2,E2,G#2,D3,G3,B3,F4,A4,C#5,F#5,A#5,D#6
C2,E2,G#2,D3,G3,B3,F4,A#4,D#5,A5,C#6,F#6
C2,E2,G#2,D3,G3,C#4,F#4,B4,F5,A#5,D#6,A6
C2,E2,A2,C#3,F#3,A#3,D#4,G#4,D5,G5,B5,F6
C2,E2,A2,C#3,F#3,B3,F4,A#4,D#5,G#5,D6,G6
C2,E2,A2,C#3,G3,B3,F4,A#4,D#5,G#5,D6,F#6
C2,E2,A2,D3,F#3,A#3,D#4,G#4,C#5,G5,B5,F6
C2,E2,A2,D3,F#3,B3,F4,A#4,D#5,G#5,C#6,G6
C2,E2,A2,D3,G3,B3,F4,A#4,D#5,G#5,C#6,F#6
C2,E2,A2,D3,G3,C#4,F#4,B4,F5,A#5,D#6,G#6
C2,E2,A2,D3,G#3,C#4,F#4,A#4,D#5,G5,B5,F6
C2,E2,A2,D3,G#3,C#4,F#4,B4,F5,A#5,D#6,G6
C2,E2,A2,D#3,G3,B3,F4,A#4,D5,G#5,C#6,F#6
C2,E2,A2,D#3,G3,C#4,F#4,B4,F5,A#5,D6,G#6
C2,E2,A2,D#3,G#3,C#4,F#4,A#4,D5,G5,B5,F6
C2,E2,A2,D#3,G#3,C#4,F#4,B4,F5,A#5,D6,G6
C2,E2,A2,D#3,G#3,C#4,G4,B4,F5,A#5,D6,F#6
C2,E2,A2,D#3,G#3,D4,G4,C#5,F#5,B5,F6,A#6
C2,E2,A#2,D3,F#3,B3,F4,A4,D#5,G#5,C#6,G6
C2,E2,A#2,D3,G3,B3,F4,A4,D#5,G#5,C#6,F#6
C2,E2,A#2,D3,G3,C#4,F#4,B4,F5,A5,D#6,G#6
C2,E2,A#2,D3,G#3,C#4,F#4,B4,F5,A5,D#6,G6
C2,E2,A#2,D#3,G3,B3,F4,A4,D5,G#5,C#6,F#6
C2,E2,A#2,D#3,G3,C#4,F#4,B4,F5,A5,D6,G#6
C2,E2,A#2,D#3,G#3,C#4,F#4,B4,F5,A5,D6,G6
C2,E2,A#2,D#3,G#3,C#4,G4,B4,F5,A5,D6,F#6
C2,E2,A#2,D#3,G#3,D4,F#4,B4,F5,A5,C#6,G6
C2,E2,A#2,D#3,G#3,D4,G4,B4,F5,A5,C#6,F#6
C2,E2,A#2,D#3,G#3,D4,G4,C#5,F#5,B5,F6,A6
C2,F2,A2,C#3,F#3,A#3,D#4,G4,B4,E5,G#5,D6
C2,F2,A2,C#3,F#3,A#3,D#4,G#4,D5,G5,B5,E6
C2,F2,A2,C#3,F#3,A#3,E4,G#4,D5,G5,B5,D#6
C2,F2,A2,C#3,F#3,B3,E4,A#4,D#5,G#5,D6,G6
C2,F2,A2,C#3,G3,B3,D#4,G#4,D5,F#5,A#5,E6
C2,F2,A2,C#3,G3,B3,E4,G#4,D5,F#5,A#5,D#6
C2,F2,A2,C#3,G3,B3,E4,A#4,D#5,G#5,D6,F#6
C2,F2,A2,D3,F#3,A#3,D#4,G4,B4,E5,G#5,C#6
C2,F2,A2,D3,F#3,A#3,D#4,G#4,C#5,G5,B5,E6
C2,F2,A2,D3,F#3,A#3,E4,G#4,C#5,G5,B5,D#6
C2,F2,A2,D3,F#3,B3,E4,A#4,D#5,G#5,C#6,G6
C2,F2,A2,D3,G3,B3,D#4,G#4,C#5,F#5,A#5,E6
C2,F2,A2,D3,G3,B3,E4,G#4,C#5,F#5,A#5,D#6
C2,F2,A2,D3,G3,B3,E4,A#4,D#5,G#5,C#6,F#6
C2,F2,A2,D3,G3,C#4,F#4,B4,E5,A#5,D#6,G#6
C2,F2,A2,D3,G#3,C#4,F#4,A#4,D#5,G5,B5,E6
C2,F2,A2,D3,G#3,C#4,F#4,B4,E5,A#5,D#6,G6
C2,F2,A2,D#3,G3,B3,E4,G#4,C#5,F#5,A#5,D6
C2,F2,A2,D#3,G3,B3,E4,A#4,D5,G#5,C#6,F#6
C2,F2,A2,D#3,G3,C#4,F#4,B4,E5,A#5,D6,G#6
C2,F2,A2,D#3,G#3,C#4,F#4,A#4,D5,G5,B5,E6
C2,F2,A2,D#3,G#3,C#4,F#4,B4,E5,A#5,D6,G6
C2,F2,A2,D#3,G#3,C#4,G4,B4,E5,A#5,D6,F#6
C2,F2,A2,D#3,G#3,D4,G4,C#5,F#5,B5,E6,A#6
C2,F2,A#2,D3,F#3,B3,E4,A4,D#5,G#5,C#6,G6
C2,F2,A#2,D3,G3,B3,E4,A4,D#5,G#5,C#6,F#6
C2,F2,A#2,D3,G3,C#4,F#4,B4,E5,A5,D#6,G#6
C2,F2,A#2,D3,G#3,C#4,F#4,B4,E5,A5,D#6,G6
C2,F2,A#2,D#3,G3,B3,E4,A4,D5,G#5,C#6,F#6
C2,F2,A#2,D#3,G3,C#4,F#4,B4,E5,A5,D6,G#6
C2,F2,A#2,D#3,G#3,C#4,F#4,B4,E5,A5,D6,G6
C2,F2,A#2,D#3,G#3,C#4,G4,B4,E5,A5,D6,F#6
C2,F2,A#2,D#3,G#3,D4,F#4,B4,E5,A5,C#6,G6
C2,F2,A#2,D#3,G#3,D4,G4,B4,E5,A5,C#6,F#6
C2,F2,A#2,D#3,G#3,D4,G4,C#5,F#5,B5,E6,A6
C2,F2,A#2,D#3,A3,C#4,F#4,B4,E5,G#5,D6,G6
C2,F2,A#2,D#3,A3,C#4,G4,B4,E5,G#5,D6,F#6
C2,F2,A#2,D#3,A3,D4,F#4,B4,E5,G#5,C#6,G6
C2,F2,A#2,D#3,A3,D4,G4,B4,E5,G#5,C#6,F#6
C2,F2,A#2,D#3,A3,D4,G4,C#5,F#5,B5,E6,G#6
C2,F2,A#2,E3,G#3,C#4,F#4,B4,D#5,A5,D6,G6
C2,F2,A#2,E3,G#3,C#4,G4,B4,D#5,A5,D6,F#6
C2,F2,A#2,E3,G#3,D4,F#4,B4,D#5,A5,C#6,G6
C2,F2,A#2,E3,G#3,D4,G4,B4,D#5,A5,C#6,F#6
C2,F2,A#2,E3,G#3,D4,G4,C#5,F#5,B5,D#6,A6
C2,F2,A#2,E3,A3,C#4,F#4,B4,D#5,G#5,D6,G6
C2,F2,A#2,E3,A3,C#4,G4,B4,D#5,G#5,D6,F#6
C2,F2,A#2,E3,A3,D4,F#4,B4,D#5,G#5,C#6,G6
C2,F2,A#2,E3,A3,D4,G4,B4,D#5,G#5,C#6,F#6
C2,F2,A#2,E3,A3,D4,G4,C#5,F#5,B5,D#6,G#6
C2,F2,A#2,E3,A3,D4,G#4,C#5,F#5,B5,D#6,G6
C2,F2,A#2,E3,A3,D#4,G#4,D5,G5,C#6,F#6,B6
C2,F2,B2,D#3,G3,C#4,F#4,A#4,E5,A5,D6,G#6
C2,F2,B2,D#3,G#3,C#4,F#4,A#4,E5,A5,D6,G6
C2,F2,B2,D#3,G#3,D4,F#4,A#4,E5,A5,C#6,G6
C2,F2,B2,D#3,G#3,D4,G4,C#5,F#5,A#5,E6,A6
C2,F2,B2,D#3,A3,C#4,F#4,A#4,E5,G#5,D6,G6
C2,F2,B2,D#3,A3,D4,F#4,A#4,E5,G#5,C#6,G6
C2,F2,B2,D#3,A3,D4,G4,C#5,F#5,A#5,E6,G#6
C2,F2,B2,E3,G#3,C#4,F#4,A#4,D#5,A5,D6,G6
C2,F2,B2,E3,G#3,D4,F#4,A#4,D#5,A5,C#6,G6
C2,F2,B2,E3,G#3,D4,G4,C#5,F#5,A#5,D#6,A6
C2,F2,B2,E3,A3,C#4,F#4,A#4,D#5,G#5,D6,G6
C2,F2,B2,E3,A3,D4,F#4,A#4,D#5,G#5,C#6,G6
C2,F2,B2,E3,A3,D4,G4,C#5,F#5,A#5,D#6,G#6
C2,F2,B2,E3,A3,D4,G#4,C#5,F#5,A#5,D#6,G6
C2,F2,B2,E3,A3,D#4,G4,C#5,F#5,A#5,D6,G#6
C2,F2,B2,E3,A3,D#4,G#4,C#5,F#5,A#5,D6,G6
C2,F2,B2,E3,A3,D#4,G#4,D5,G5,C#6,F#6,A#6
C2,F#2,A#2,D3,G3,B3,E4,G#4,C#5,F5,A5,D#6
C2,F#2,A#2,D3,G3,B3,E4,A4,D#5,G#5,C#6,F6
C2,F#2,A#2,D3,G3,C#4,F4,B4,E5,A5,D#6,G#6
C2,F#2,A#2,D3,G#3,C#4,F4,A4,D#5,G5,B5,E6
C2,F#2,A#2,D3,G#3,C#4,F4,B4,E5,A5,D#6,G6
C2,F#2,A#2,D#3,G3,B3,E4,G#4,C#5,F5,A5,D6
C2,F#2,A#2,D#3,G3,B3,E4,A4,D5,G#5,C#6,F6
C2,F#2,A#2,D#3,G3,C#4,F4,B4,E5,A5,D6,G#6
C2,F#2,A#2,D#3,G#3,C#4,F4,A4,D5,G5,B5,E6
C2,F#2,A#2,D#3,G#3,C#4,F4,B4,E5,A5,D6,G6
C2,F#2,A#2,D#3,G#3,D4,G4,B4,E5,A5,C#6,F6
C2,F#2,A#2,D#3,G#3,D4,G4,C#5,F5,B5,E6,A6
C2,F#2,A#2,D#3,A3,C#4,F4,B4,E5,G#5,D6,G6
C2,F#2,A#2,D#3,A3,D4,G4,B4,E5,G#5,C#6,F6
C2,F#2,A#2,D#3,A3,D4,G4,C#5,F5,B5,E6,G#6
C2,F#2,A#2,E3,G#3,C#4,F4,A4,D5,G5,B5,D#6
C2,F#2,A#2,E3,G#3,C#4,F4,B4,D#5,A5,D6,G6
C2,F#2,A#2,E3,G#3,D4,G4,B4,D#5,A5,C#6,F6
C2,F#2,A#2,E3,G#3,D4,G4,C#5,F5,B5,D#6,A6
C2,F#2,A#2,E3,A3,C#4,F4,B4,D#5,G#5,D6,G6
C2,F#2,A#2,E3,A3,D4,G4,B4,D#5,G#5,C#6,F6
C2,F#2,A#2,E3,A3,D4,G4,C#5,F5,B5,D#6,G#6
C2,F#2,A#2,E3,A3,D4,G#4,C#5,F5,B5,D#6,G6
C2,F#2,A#2,E3,A3,D#4,G#4,D5,G5,C#6,F6,B6
C2,F#2,B2,D#3,G3,C#4,F4,A#4,E5,A5,D6,G#6
C2,F#2,B2,D#3,G#3,C#4,F4,A#4,E5,A5,D6,G6
C2,F#2,B2,D#3,G#3,D4,G4,C#5,F5,A#5,E6,A6
C2,F#2,B2,D#3,A3,C#4,F4,A#4,E5,G#5,D6,G6
C2,F#2,B2,D#3,A3,D4,G4,C#5,F5,A#5,E6,G#6
C2,F#2,B2,E3,G#3,C#4,F4,A#4,D#5,A5,D6,G6
C2,F#2,B2,E3,G#3,D4,G4,C#5,F5,A#5,D#6,A6
C2,F#2,B2,E3,A3,C#4,F4,A#4,D#5,G#5,D6,G6
C2,F#2,B2,E3,A3,D4,G4,C#5,F5,A#5,D#6,G#6
C2,F#2,B2,E3,A3,D4,G#4,C#5,F5,A#5,D#6,G6
C2,F#2,B2,E3,A3,D#4,G4,C#5,F5,A#5,D6,G#6
C2,F#2,B2,E3,A3,D#4,G#4,C#5,F5,A#5,D6,G6
C2,F#2,B2,E3,A3,D#4,G#4,D5,G5,C#6,F6,A#6
C2,F#2,B2,E3,A#3,D4,G4,C#5,F5,A5,D#6,G#6
C2,F#2,B2,E3,A#3,D4,G#4,C#5,F5,A5,D#6,G6
C2,F#2,B2,E3,A#3,D#4,G4,C#5,F5,A5,D6,G#6
C2,F#2,B2,E3,A#3,D#4,G#4,C#5,F5,A5,D6,G6
C2,F#2,B2,E3,A#3,D#4,G#4,D5,G5,C#6,F6,A6
C2,F#2,B2,F3,A#3,E4,A4,D#5,G#5,D6,G6,C#7
found 151 solutions.



C2,F2,A#2,D#3,G#3,C#4,G4,D5,A5,E6,B6,F#7
C2,F2,A#2,D#3,G#3,D4,G4,C#5,F#5,B5,E6,A6
C2,F2,A#2,D#3,G#3,D4,A4,E5,B5,F#6,C#7,G7
C2,F2,A#2,D#3,A3,E4,B4,F#5,C#6,G6,D7,G#7
C2,F2,A#2,D#3,A3,E4,B4,F#5,C#6,G#6,D7,G7
C2,F2,A#2,E3,A3,D#4,G#4,D5,G5,C#6,F#6,B6
C2,F2,A#2,E3,B3,F#4,C#5,G5,D6,G#6,D#7,A7
C2,F2,A#2,E3,B3,F#4,C#5,G5,D6,A6,D#7,G#7
C2,F2,A#2,E3,B3,F#4,C#5,G#5,D#6,A6,D7,G7
C2,F2,B2,F#3,C#4,G4,D5,G#5,D#6,A6,E7,A#7
C2,F2,B2,F#3,C#4,G4,D5,G#5,D#6,A#6,E7,A7
C2,F2,B2,F#3,C#4,G4,D5,A5,E6,A#6,D#7,G#7
C2,F2,B2,F#3,C#4,G#4,D#5,A#5,E6,A6,D7,G7
C2,F#2,B2,E3,A3,D4,G4,C#5,G#5,D#6,A#6,F7
C2,F#2,B2,F3,A#3,D#4,G#4,C#5,G5,D6,A6,E7
C2,F#2,B2,F3,A#3,E4,A4,D5,G5,C#6,G#6,D#7
C2,F#2,B2,F3,A#3,E4,A4,D#5,G#5,C#6,G6,D7
C2,F#2,B2,F3,A#3,E4,A4,D#5,G#5,D6,G6,C#7
C2,F#2,C#3,G3,D4,G#4,D#5,A5,E6,A#6,F7,B7
C2,F#2,C#3,G3,D4,G#4,D#5,A5,E6,B6,F7,A#7
C2,F#2,C#3,G3,D4,G#4,D#5,A#5,F6,B6,E7,A7
C2,F#2,C#3,G3,D4,A4,E5,B5,F6,A#6,D#7,G#7
C2,F#2,C#3,G#3,D#4,A#4,F5,B5,E6,A6,D7,G7
C2,G2,C#3,F#3,B3,E4,A4,D5,G#5,D#6,A#6,F7
C2,G2,C#3,F#3,B3,F4,A#4,D#5,G#5,D6,A6,E7
C2,G2,C#3,F#3,B3,F4,A#4,E5,A5,D6,G#6,D#7
C2,G2,C#3,F#3,B3,F4,A#4,E5,A5,D#6,G#6,D7
C2,G2,D3,G#3,C#4,F#4,B4,E5,A5,D#6,A#6,F7
C2,G2,D3,G#3,C#4,F#4,B4,F5,A#5,D#6,A6,E7
C2,G2,D3,G#3,C#4,F#4,B4,F5,A#5,E6,A6,D#7
C2,G2,D3,G#3,D#4,A4,E5,A#5,F6,B6,F#7,C#8
C2,G2,D3,A3,D#4,G#4,C#5,F#5,B5,E6,A#6,F7
C2,G2,D3,A3,D#4,G#4,C#5,F#5,B5,F6,A#6,E7
C2,G2,D3,A3,E4,A#4,D#5,G#5,C#6,F#6,B6,F7
C2,G2,D3,A3,E4,A#4,F5,B5,F#6,C#7,G#7,D#8
C2,G2,D3,A3,E4,B4,F5,A#5,D#6,G#6,C#7,F#7
C2,G2,D3,A3,E4,B4,F#5,C#6,G#6,D#7,A#7,F8

calebprime is offline   Quote this post in a PM   Nominate this post for this month's language award Copy a direct link to this post Reply With Quote Back to Top
Old 10th February 2018, 06:25 AM   #129
calebprime
moleman
 
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Join Date: Jul 2006
Posts: 11,937
The data so far (info on all the series):


Code:
number of rows remaining: 35

mof6B*                       mallalieu                    (0 1 5 9 2 8 7 11 3 10 4 6)  
(0 1 3 9 4 7 11 2 10 5 8 6)  (0 1 4 2 9 5 11 3 8 10 7 6)                               

(0 1 7 2 4 8 6 3 11 5 10 9)  (0 1 7 2 10 8 4 3 6 11 5 9)  (0 1 9 2 4 10 8 3 6 5 7 11)  

(0 1 9 6 11 4 8 2 10 5 7 3)  (0 2 3 9 10 6 7 1 5 8 4 11)  (0 2 5 4 10 7 11 6 9 1 3 8)  

(0 2 8 4 5 10 1 6 3 7 9 11)  (0 3 2 6 4 5 10 9 11 7 1 8)  (0 3 4 6 11 7 9 1 8 2 5 10)  

(0 3 7 6 4 10 8 9 2 11 5 1)  row 1*                       (0 3 10 7 8 1 4 2 6 11 9 5)  
                             (0 3 8 10 7 11 5 1 4 2 9 6)                               

(0 4 6 10 7 3 11 1 8 2 5 9)  (0 4 7 8 1 11 9 3 10 5 6 2)  (0 5 4 10 1 9 7 3 8 6 11 2)  

(0 5 8 10 4 1 11 3 7 9 2 6)  (0 5 11 10 8 4 6 3 7 1 2 9)  (0 7 2 1 4 9 5 8 6 10 3 11)  

(0 7 3 2 5 10 6 9 1 8 11 4)  (0 7 4 2 11 1 6 10 9 5 3 8)  (0 7 5 3 9 1 6 10 11 4 2 8)  

(0 7 9 11 4 2 5 10 8 6 1 3)  (0 8 2 3 5 10 7 11 6 1 4 9)  (0 8 5 3 6 1 7 11 10 2 4 9)  

(0 8 7 4 9 5 3 10 11 1 2 6)  (0 9 1 6 11 10 5 3 2 8 4 7)  mof3                         
                                                          (0 9 2 5 4 11 8 1 7 3 6 10)  

(0 9 2 6 1 11 7 3 4 10 5 8)  (0 9 4 3 6 11 10 8 2 7 1 5)  (0 10 2 3 6 7 4 1 9 11 5 8)  

(0 10 2 7 11 9 4 3 1 8 5 6)  (0 10 4 8 7 3 1 6 11 5 9 2)                               


====================================================================================


====================================================================================

====================================================================================

                                                  name: Obvious Childe 015
(0 1 3 4 8 2 10 9 6 11 7 5)

see (0 8 7 4 9 5 3 10 11 1 2 6)




                            
5x/i/3/0:............Eb Bb C  G  B  F  C# F# A  Ab E  D  
p/0/0:...............C  C# Eb E  Ab D  Bb A  F# B  G  F  

5p/p/0/0:............C  D  G  E  F# C# Bb F  Ab B  Eb A  
====================================================================================
(0 1 3 9 4 7 11 2 10 5 8 6)                       name:mof6B*  (asterisk means inversion)

not a power-residue series

C,  Db, Eb, A,  E,  G,  B,  D,  Bb, F,  Ab, Gb  1,2,6,7,3,4,3,8,7,3,10,6
B,  C,  D,  Ab, Eb, Gb, Bb, Db, A,  E,  G,  F      ---> most
A,  Bb, C,  Gb, Db, E,  Ab, B,  G,  D,  F,  Eb
Eb, E,  Gb, C,  G,  Bb, D,  F,  Db, Ab, B,  A
Ab, A,  B,  F,  C,  Eb, G,  Bb, Gb, Db, E,  D
F,  Gb, Ab, D,  A,  C,  E,  G,  Eb, Bb, Db, B
Db, D,  E,  Bb, F,  Ab, C,  Eb, B,  Gb, A,  G
Bb, B,  Db, G,  D,  F,  A,  C,  Ab, Eb, Gb, E
D,  Eb, F,  B,  Gb, A,  Db, E,  C,  G,  Bb, Ab
G,  Ab, Bb, E,  B,  D,  Gb, A,  F,  C,  Eb, Db
E,  F,  G,  Db, Ab, B,  Eb, Gb, D,  A,  C,  Bb
Gb, G,  A,  Eb, Bb, Db, F,  Ab, E,  B,  D,  C



every-other anyway


C,  Db, Eb, A,  E,  G,  B,  D,  Bb, F,  Ab, Gb
Db, A,  G,  D,  F,  Gb, C,  Eb, E,  B,  Bb, Ab
A,  D,  Gb, Eb, B,  Ab, Db, G,  F,  C,  E,  Bb
D,  Eb, Ab, G,  C,  Bb, A,  Gb, B,  Db, F,  E
Eb, G,  Bb, Gb, Db, E,  D,  Ab, C,  A,  B,  F
G,  Gb, E,  Ab, A,  F,  Eb, Bb, Db, D,  C,  B

Gb, Ab, F,  Bb, D,  B,  G,  E,  A,  Eb, Db, C
Ab, Bb, B,  E,  Eb, C,  Gb, F,  D,  G,  A,  Db
Bb, E,  C,  F,  G,  Db, Ab, B,  Eb, Gb, D,  A
E,  F,  Db, B,  Gb, A,  Bb, C,  G,  Ab, Eb, D
F,  B,  A,  C,  Ab, D,  E,  Db, Gb, Bb, G,  Eb
B,  C,  D,  Db, Bb, Eb, F,  A,  Ab, E,  Gb, G








====================================================================================
(0 1 4 2 9 5 11 3 8 10 7 6)                       name: mallalieu



C,Db,E,D,A,F,B,Eb,Ab,Bb,G,F#
intervals: 1,3,10,7,8,6,4,5,2,9,11,6,1,3,10,7,8,6,4,5,2,9,11,6

5x/i/3/0:............Eb Bb G  F  F# D  Ab C  B  C# E  A  7,9,10,1,8,6,4,11,2,3,5,6
 




C,  Db, E,  D,  A,  F,  B,  Eb, Ab, Bb, G,  F#     1,3,10,7,8,6,4,5,2,9,11,6,
B,  C,  Eb, Db, Ab, E,  Bb, D,  G,  A,  F#, F
Ab, A,  C,  Bb, F,  Db, G,  B,  E,  F#, Eb, D
Bb, B,  D,  C,  G,  Eb, A,  Db, F#, Ab, F,  E
Eb, E,  G,  F,  C,  Ab, D,  F#, B,  Db, Bb, A
G,  Ab, B,  A,  E,  C,  F#, Bb, Eb, F,  D,  Db
Db, D,  F,  Eb, Bb, F#, C,  E,  A,  B,  Ab, G
A,  Bb, Db, B,  F#, D,  Ab, C,  F,  G,  E,  Eb
E,  F,  Ab, F#, Db, A,  Eb, G,  C,  D,  B,  Bb
D,  Eb, F#, E,  B,  G,  Db, F,  Bb, C,  A,  Ab
F,  F#, A,  G,  D,  Bb, E,  Ab, Db, Eb, C,  B
F#, G,  Bb, Ab, Eb, B,  F,  A,  D,  E,  Db, C


7m

Eb, Bb, G,  F,  F#, D,  Ab, C,  B,  C#, E,  A
Ab, Eb, C,  Bb, B,  G,  C#, F,  E,  F#, A,  D
B,  F#, Eb, C#, D,  Bb, E,  Ab, G,  A,  C,  F
C#, Ab, F,  Eb, E,  C,  F#, Bb, A,  B,  D,  G
C,  G,  E,  D,  Eb, B,  F,  A,  Ab, Bb, C#, F#
E,  B,  Ab, F#, G,  Eb, A,  C#, C,  D,  F,  Bb
Bb, F,  D,  C,  C#, A,  Eb, G,  F#, Ab, B,  E
F#, C#, Bb, Ab, A,  F,  B,  Eb, D,  E,  G,  C
G,  D,  B,  A,  Bb, F#, C,  E,  Eb, F,  Ab, C#
F,  C,  A,  G,  Ab, E,  Bb, D,  C#, Eb, F#, B
D,  A,  F#, E,  F,  C#, G,  B,  Bb, C,  Eb, Ab
A,  E,  C#, B,  C,  Ab, D,  F#, F,  G,  Bb, Eb




5p/p/0/0:............C  F  G  D  Ab C# B  F# A  Bb E  Eb 5,2,7,6,5,10,7,3,1,6,11,9
====================================================================================
(0 1 5 9 2 8 7 11 3 10 4 6)      seems to be unique
intervals: 1,4,4,5,6,11,4,4,7,6,2,6 [1,2,4,5,6,7,11] = 7 intervals
This has 2 augmented chords.
This does not have every-other self-similarity that I know of.




C,  Db, F,  A,  D,  Ab, G,  B,  Eb, Bb, E,  F#
B,  C,  E,  Ab, Db, G,  F#, Bb, D,  A,  Eb, F
G,  Ab, C,  E,  A,  Eb, D,  F#, Bb, F,  B,  Db
Eb, E,  Ab, C,  F,  B,  Bb, D,  F#, Db, G,  A    <---- complete
Bb, B,  Eb, G,  C,  F#, F,  A,  Db, Ab, D,  E
E,  F,  A,  Db, F#, C,  B,  Eb, G,  D,  Ab, Bb
F,  F#, Bb, D,  G,  Db, C,  E,  Ab, Eb, A,  B
Db, D,  F#, Bb, Eb, A,  Ab, C,  E,  B,  F,  G
A,  Bb, D,  F#, B,  F,  E,  Ab, C,  G,  Db, Eb
D,  Eb, G,  B,  E,  Bb, A,  Db, F,  C,  F#, Ab
Ab, A,  Db, F,  Bb, E,  Eb, G,  B,  F#, C,  D
F#, G,  B,  Eb, Ab, D,  Db, F,  A,  E,  Bb, C


1,4,4,5,6,11,4,4,7,6,2,6,1,4,4,5,6,11,4,4,7,6,2,6
11,8,8,7,6,1,8,8,5,6,10,6,11,8,8,7,6,1,8,8,5,6,10,6


reverse

6,2,6,7,4,4,11,6,5,4,4,1,6,2,6,7,4,4,11,6,5,4,4,1,
6,10,6,5,8,8,1,6,7,8,8,11,6,10,6,5,8,8,1,6,7,8,8,11







====================================================================================
(0 1 7 2 4 8 6 3 11 5 10 9)                        all-interval series #12

0,  1,  7,  2,  4,  8,  6,  3,  11, 5,  10, 9
1,  2,  8,  3,  5,  9,  0,  7,  4,  6,  11, 10
2,  3,  9,  7,  6,  10, 1,  8,  5,  0,  4,  11
3,  7,  10, 8,  0,  11, 2,  9,  6,  1,  5,  4
7,  8,  11, 9,  1,  4,  3,  10, 0,  2,  6,  5
8,  9,  4,  10, 2,  5,  7,  11, 1,  3,  0,  6
9,  10, 5,  11, 3,  6,  8,  4,  2,  7,  1,  0
10, 11, 6,  4,  7,  0,  9,  5,  3,  8,  2,  1
11, 4,  0,  5,  8,  1,  10, 6,  7,  9,  3,  2
4,  5,  1,  6,  9,  2,  11, 0,  8,  10, 7,  3
5,  6,  2,  0,  10, 3,  4,  1,  9,  11, 8,  7
6,  0,  3,  1,  11, 7,  5,  2,  10, 4,  9,  8



C,  Db, G,  D,  E,  Ab, Gb, Eb, B,  F,  Bb, A
Db, D,  Ab, Eb, F,  A,  C,  G,  E,  Gb, B,  Bb
D,  Eb, A,  G,  Gb, Bb, Db, Ab, F,  C,  E,  B
Eb, G,  Bb, Ab, C,  B,  D,  A,  Gb, Db, F,  E
G,  Ab, B,  A,  Db, E,  Eb, Bb, C,  D,  Gb, F
Ab, A,  E,  Bb, D,  F,  G,  B,  Db, Eb, C,  Gb


A,  Bb, F,  B,  Eb, Gb, Ab, E,  D,  G,  Db, C
Bb, B,  Gb, E,  G,  C,  A,  F,  Eb, Ab, D,  Db
B,  E,  C,  F,  Ab, Db, Bb, Gb, G,  A,  Eb, D
E,  F,  Db, Gb, A,  D,  B,  C,  Ab, Bb, G,  Eb
F,  Gb, D,  C,  Bb, Eb, E,  Db, A,  B,  Ab, G
Gb, C,  Eb, Db, B,  G,  F,  D,  Bb, E,  A,  Ab


intervals: 1,6,7,2,4,10,9,8,6,5,11,3       [1,2,3,4,5,6,7,8,9,10,11] all-interval
 

C,  Db, G,  D,  E,  Ab, Gb, Eb, B,  F,  Bb, A   
B,  C,  Gb, Db, Eb, G,  F,  D,  Bb, E,  A,  Ab
F,  Gb, C,  G,  A,  Db, B,  Ab, E,  Bb, Eb, D
Bb, B,  F,  C,  D,  Gb, E,  Db, A,  Eb, Ab, G
Ab, A,  Eb, Bb, C,  E,  D,  B,  G,  Db, Gb, F
E,  F,  B,  Gb, Ab, C,  Bb, G,  Eb, A,  D,  Db
Gb, G,  Db, Ab, Bb, D,  C,  A,  F,  B,  E,  Eb
A,  Bb, E,  B,  Db, F,  Eb, C,  Ab, D,  G,  Gb
Db, D,  Ab, Eb, F,  A,  G,  E,  C,  Gb, B,  Bb
G,  Ab, D,  A,  B,  Eb, Db, Bb, Gb, C,  F,  E
D,  Eb, A,  E,  Gb, Bb, Ab, F,  Db, G,  C,  B
Eb, E,  Bb, F,  G,  B,  A,  Gb, D,  Ab, Db, C


012 0137584A92B60137584A92B6 MOF count: 7/8* & last 5 notes: 5/6
C,Db,Eb,G,F,Ab,E,Bb,A,D,B,F#,C,Db,Eb,G,F,Ab,E,Bb,A,D,B,F#
1,2,4,10,3,8,6,11,5,9,7,6,1,2,4,10,3,8,6,11,5,9,7,6
11,10,8,2,9,4,6,1,7,3,5,6,11,10,8,2,9,4,6,1,7,3,5,6	       
5,10,8,2,3,4,6,7,1,9,11,6,5,10,8,2,3,4,6,7,1,9,11,6	       
7,2,4,10,9,8,6,5,11,3,    [ 1,6,7,2,4,10,9,8,6,5,11,3, ]       (perfect 6-note mof:  every-other note = every note)





====================================================================================
(0 1 7 2 10 8 4 3 6 11 5 9)                      name:  E for Effort            approved

C,Db,G,D,Bb,Ab,E,Eb,F#,B,F,A

intervals:
1,6,7,8,10,8,11,3,5,6,4,3,1,6,7,8,10,8,11,3,5,6,4,3   [1,3,4,5,6,7,8,10,11] = 9 intervals
inversion:   
intervals backward:
3,4,6,5,3,11,8,10,8,7,6,1,3,4,6,5,3,11,8,10,8,7,6,1  


5m 3-couple intervals:
7,6,1,8,10,8,5,9,11,6,4,9,7,6,1,8,10,8,5,9,11,6,4,9
5m 3-couple intervals backward:
9,4,6,11,9,5,8,10,8,1,6,7,9,4,6,11,9,5,8,10,8,1,6,7


5x/i/3/0:............Eb Bb E  F  C# B  G  C  A  Ab D  F# 
7,6,1,8,10,8,5,9,11,6,4,9,7,6,1,8,10,8,5,9,11,6,4,9 


5p/p/0/0:............C  Ab F  D  F# C# E  A  Bb B  G  Eb
8,9,9,4,7,3,5,1,1,8,8,9,8,9,9,4,7,3,5,1,1,8,8,9

Every-other Square with intervals

C,  Db, G,  D,  Bb, Ab, E,  Eb, F#, B,  F,  A    1,6,7,8,10,8,11,3,5,6,4,3,1,6,7,8,10,8,11,3,5,6,4,3
Db, D,  Ab, Eb, B,  A,  C,  G,  Bb, E,  F#, F    1,6,7,8,10,3,7,3,6,2,11,8,1,6,7,8,10,3,7,3,6,2,11,8
D,  Eb, A,  G,  E,  F,  Db, Ab, B,  C,  Bb, F#   1,6,10,9,1,8,7,3,1,10,8,8,1,6,10,9,1,8,7,3,1,10,8,8
Eb, G,  F,  Ab, C,  F#, D,  A,  E,  Db, B,  Bb   4,10,3,4,6,8,7,7,9,10,11,5,4,10,3,4,6,8,7,7,9,10,11,5  
G,  Ab, F#, A,  Db, Bb, Eb, F,  C,  D,  E,  B    1,10,3,4,9,5,2,7,2,2,7,8,1,10,3,4,9,5,2,7,2,2,7,8,
Ab, A,  Bb, F,  D,  B,  G,  F#, Db, Eb, C,  E    1,1,7,9,9,8,11,7,2,9,4,4,1,1,7,9,9,8,11,7,2,9,4,4
A,  F,  B,  F#, Eb, E,  Ab, Bb, D,  G,  Db, C
F,  F#, E,  Bb, G,  C,  A,  B,  Eb, Ab, D,  Db
F#, Bb, C,  B,  Ab, Db, F,  E,  G,  A,  Eb, D
Bb, B,  Db, E,  A,  D,  F#, C,  Ab, F,  G,  Eb
B,  E,  D,  C,  F,  Eb, Bb, Db, A,  F#, Ab, G
E,  C,  Eb, Db, F#, G,  B,  D,  F,  Bb, A,  Ab


every-other square of 5m minor-3rd couple

Eb, Bb, E,  F,  C#, B,  G,  C,  A,  Ab, D,  F#   7,6,1,8,10,8,5,9,11,6,4,9,7,6,1,8,10,8,5,9,11,6,4,9      
Bb, F,  B,  C,  Ab, F#, Eb, E,  C#, G,  A,  D    7,6,1,8,10,9,1,9,6,2,5,8,7,6,1,8,10,9,1,9,6,2,5,8
F,  C,  F#, E,  G,  D,  Bb, B,  Ab, Eb, C#, A    7,6,10,3,7,8,1,9,7,10,8,8,7,6,10,3,7,8,1,9,7,10,8,8
C,  E,  D,  B,  Eb, A,  F,  F#, G,  Bb, Ab, C#   4,10,9,4,6,8,1,1,3,10,5,11,4,10,9,4,6,8,1,1,3,10,5,11
E,  B,  A,  F#, Bb, C#, C,  D,  Eb, F,  G,  Ab   7,10,9,4,3,11,2,1,2,2,1,8,7,10,9,4,3,11,2,1,2,2,1,8
B,  F#, C#, D,  F,  Ab, E,  A,  Bb, C,  Eb, G    7,7,1,3,3,8,5,1,2,3,4,4,7,7,1,3,3,8,5,1,2,3,4,4
F#, D,  Ab, A,  C,  G,  B,  C#, F,  E,  Bb, Eb
D,  A,  G,  C#, E,  Eb, F#, Ab, C,  B,  F,  Bb
A,  C#, Eb, Ab, B,  Bb, D,  G,  E,  F#, C,  F
C#, Ab, Bb, G,  F#, F,  A,  Eb, B,  D,  E,  C
Ab, G,  F,  Eb, D,  C,  C#, Bb, F#, A,  B,  E
G,  Eb, C,  Bb, A,  E,  Ab, F,  D,  C#, F#, B




Every-other square

E,  F,  B,  F#, D,  C,  Ab, G,  Bb, Eb, A,  C#   intervals: 1,6,7,8,10,8,11,3,5,6,4,3
F,  F#, C,  G,  Eb, C#, E,  B,  D,  Ab, Bb, A
F#, G,  C#, B,  Ab, A,  F,  C,  Eb, E,  D,  Bb
G,  B,  A,  C,  E,  Bb, F#, C#, Ab, F,  Eb, D
B,  C,  Bb, C#, F,  D,  G,  A,  E,  F#, Ab, Eb
C,  C#, D,  A,  F#, Eb, B,  Bb, F,  G,  E,  Ab
C#, A,  Eb, Bb, G,  Ab, C,  D,  F#, B,  F,  E
A,  Bb, Ab, D,  B,  E,  C#, Eb, G,  C,  F#, F
Bb, D,  E,  Eb, C,  F,  A,  Ab, B,  C#, G,  F#
D,  Eb, F,  Ab, C#, F#, Bb, E,  C,  A,  B,  G
Eb, Ab, F#, E,  A,  G,  D,  F,  C#, Bb, C,  B
Ab, E,  G,  F,  Bb, B,  Eb, F#, A,  D,  C#, C

column intervals: 1,1,1,4,1,1,8,1,4,1,5,8




standard inversion square

E,  F,  B,  F#, D,  C,  Ab, G,  Bb, Eb, A,  C#
Eb, e,  Bb, f,  C#, b,  G,  f#, A,  d,  Ab, c
A,  Bb, E,  B,  G,  F,  C#, C,  Eb, Ab, D,  F#
D,  Eb, A,  E,  C,  Bb, F#, F,  Ab, C#, G,  B
F#, G,  C#, Ab, E,  D,  Bb, A,  C,  F,  B,  Eb
Ab, A,  Eb, Bb, F#, E,  C,  B,  D,  G,  C#, F
C,  C#, G,  D,  Bb, Ab, E,  Eb, F#, B,  F,  A
C#, D,  Ab, Eb, B,  A,  F,  E,  G,  C,  F#, Bb
Bb, B,  F,  C,  Ab, F#, D,  C#, E,  A,  Eb, G
F,  F#, C,  G,  Eb, C#, A,  Ab, B,  E,  Bb, D
B,  C,  F#, C#, A,  G,  Eb, D,  F,  Bb, E,  Ab
G,  Ab, D,  A,  F,  Eb, B,  Bb, C#, F#, C,  E

====================================================================================

0 1 9 2 4 10 8 3 6 5 7 11      seems to be unique

                                                        name:  Melvin-Lieben

C,C#,A,D,E,Bb,Ab,Eb,F#,F,G,B
1,8,5,2,6,10,7,3,11,2,4,1

C,  C#, A,  D,  E,  Bb, Ab, Eb, F#, F,  G,  B    1,8,5,2,6,10,7,3,11,2,4,1  
C#, D,  Bb, Eb, F,  B,  C,  A,  E,  Ab, F#, G    1,8,5,2,6,1,9,7,4,10,1,6
D,  Eb, B,  A,  Ab, G,  C#, Bb, F,  C,  E,  F#   1,8,10,11,11,6,9,7,7,4,2,8
Eb, A,  G,  Bb, C,  F#, D,  B,  Ab, C#, F,  E
A,  Bb, F#, B,  C#, E,  Eb, G,  C,  D,  Ab, F
Bb, B,  E,  G,  D,  F,  A,  F#, C#, Eb, C,  Ab

B,  G,  F,  F#, Eb, Ab, Bb, E,  D,  A,  C#, C
G,  F#, Ab, E,  A,  C,  B,  F,  Eb, Bb, D,  C#
F#, E,  C,  F,  Bb, C#, G,  Ab, A,  B,  Eb, D
E,  F,  C#, Ab, B,  D,  F#, C,  Bb, G,  A,  Eb
F,  Ab, D,  C,  G,  Eb, E,  C#, B,  F#, Bb, A
Ab, C,  Eb, C#, F#, A,  F,  D,  G,  E,  B,  Bb

1,1,1,6,1,1,8,11,10,1,3,4

p/0/0:...............C  C# A  D  E  Bb Ab Eb F# F  G  B  

.....................1..2..3..4..5..6..7..8..9..10.11.0
p/11/1:..............C  Ab C# Eb A  G  D  F  E  F# Bb B  
.....................c.....c#....a.....d.....e.....bb.....
........................ab....eb..........F.....f#........
...................................g.................b...

1,3,5,7,9,11,2,4,8,10,6,0
0 1 8 2 4 9 7 3 10 5 6 11 - 10 1 2
0 1 8 2 4 9 7 3 11 5 6 10 - 10 1 2
0 1 8 2 4 10 7 3 9 5 6 11 - 10 1 2
0 1 9 2 4 10 7 3 8 5 6 11 - 10 1 2
0 1 9 2 4 10 8 3 5 6 7 11 - 10 1 2
0 1 9 2 4 10 8 3 6 5 7 11 - 10 1 2
0 1 9 2 4 10 8 3 7 5 6 11 - 10 1 2
0 1 9 2 5 10 8 3 4 6 7 11 - 10 1 2
0 1 9 2 5 10 8 4 3 6 7 11 - 10 1 2
0 1 9 3 5 10 8 4 2 6 7 11 - 10 1 2
0 2 9 3 5 10 8 4 1 6 7 11 - 10 1 2



p/0/0:...............C  C# A  D  E  Bb Ab Eb F# F  G  B  



.....................3..4..5..6..7..8..9..10.11.0..1..2..
p/10/3:..............C  D  Ab F# C# E  Eb F  A  Bb B  G  
.....................c...........c#..........a............
........................d...........e...........bb........
...........................ab..........eb.................
..............................f#..........f........B..G




C,  C#, A,  D,  E,  Bb, Ab, Eb, F#, F,  G,  B  1,8,5,2
B,  C,  Ab, C#, Eb, A,  G,  D,  F,  E,  F#, Bb
Eb, E,  C,  F,  G,  C#, B,  F#, A,  Ab, Bb, D
Bb, B,  G,  C,  D,  Ab, F#, C#, E,  Eb, F,  A
Ab, A,  F,  Bb, C,  F#, E,  B,  D,  C#, Eb, G
D,  Eb, B,  E,  F#, C,  Bb, F,  Ab, G,  A,  C#
E,  F,  C#, F#, Ab, D,  C,  G,  Bb, A,  B,  Eb
A,  Bb, F#, B,  C#, G,  F,  C,  Eb, D,  E,  Ab
F#, G,  Eb, Ab, Bb, E,  D,  A,  C,  B,  C#, F
G,  Ab, E,  A,  B,  F,  Eb, Bb, C#, C,  D,  F#
F,  F#, D,  G,  A,  Eb, C#, Ab, B,  Bb, C,  E
C#, D,  Bb, Eb, F,  B,  A,  E,  G,  F#, Ab, C





Eb, Bb, F#, F,  G,  C#, B,  C,  A,  D,  E,  Ab  7,8,1,2,6
Ab, Eb, B,  Bb, C,  F#, E,  F,  D,  G,  A,  C#
C,  G,  Eb, D,  E,  Bb, Ab, A,  F#, B,  C#, F
C#, Ab, E,  Eb, F,  B,  A,  Bb, G,  C,  D,  F#
B,  F#, D,  C#, Eb, A,  G,  Ab, F,  Bb, C,  E
F,  C,  Ab, G,  A,  Eb, C#, D,  B,  E,  F#, Bb
G,  D,  Bb, A,  B,  F,  Eb, E,  C#, F#, Ab, C
F#, C#, A,  Ab, Bb, E,  D,  Eb, C,  F,  G,  B
A,  E,  C,  B,  C#, G,  F,  F#, Eb, Ab, Bb, D
E,  B,  G,  F#, Ab, D,  C,  C#, Bb, Eb, F,  A
D,  A,  F,  E,  F#, C,  Bb, B,  Ab, C#, Eb, G
Bb, F,  C#, C,  D,  Ab, F#, G,  E,  A,  B,  Eb







5x/i/3/0:............Eb Bb F# F  G  C# B  C  A  D  E  Ab 


====================================================================================


(0 1 9 6 11 4 8 2 10 5 7 3) this is equiv to own 5p
not an every-other self-sim

C,Db,A,Gb,B,E,Ab,D,Bb,F,G,Eb



    
C,  Db, A,  Gb, B,  E,  Ab, D,  Bb, F,  G,  Eb 1,8,9,5,5,4,6,8,7,2,8,9
B,  C,  Ab, F,  Bb, Eb, G,  Db, A,  E,  Gb, D
Eb, E,  C,  A,  D,  G,  B,  F,  Db, Ab, Bb, Gb
Gb, G,  Eb, C,  F,  Bb, D,  Ab, E,  B,  Db, A
Db, D,  Bb, G,  C,  F,  A,  Eb, B,  Gb, Ab, E
Ab, A,  F,  D,  G,  C,  E,  Bb, Gb, Db, Eb, B
E,  F,  Db, Bb, Eb, Ab, C,  Gb, D,  A,  B,  G
Bb, B,  G,  E,  A,  D,  Gb, C,  Ab, Eb, F,  Db
D,  Eb, B,  Ab, Db, Gb, Bb, E,  C,  G,  A,  F
G,  Ab, E,  Db, Gb, B,  Eb, A,  F,  C,  D,  Bb
F,  Gb, D,  B,  E,  A,  Db, G,  Eb, Bb, C,  Ab
A,  Bb, Gb, Eb, Ab, Db, F,  B,  G,  D,  E,  C




5x/i/3/0:............Eb Bb F# A  Ab G  B  F  C# D  E  C  7,8,3,11,11,4,6,8,1,2,8,3


A,  Bb, Gb, Eb, Ab, Db, F,  B,  G,  D,  E,  C       1,8,9,5,5,4,6,8,7,2,8,9
F,  Gb, D,  B,  E,  A,  Db, G,  Eb, Bb, C,  Ab
G,  Ab, E,  Db, Gb, B,  Eb, A,  F,  C,  D,  Bb
D,  Eb, B,  Ab, Db, Gb, Bb, E,  C,  G,  A,  F
Bb, B,  G,  E,  A,  D,  Gb, C,  Ab, Eb, F,  Db
E,  F,  Db, Bb, Eb, Ab, C,  Gb, D,  A,  B,  G
Ab, A,  F,  D,  G,  C,  E,  Bb, Gb, Db, Eb, B
Db, D,  Bb, G,  C,  F,  A,  Eb, B,  Gb, Ab, E
Gb, G,  Eb, C,  F,  Bb, D,  Ab, E,  B,  Db, A
Eb, E,  C,  A,  D,  G,  B,  F,  Db, Ab, Bb, Gb
B,  C,  Ab, F,  Bb, Eb, G,  Db, A,  E,  Gb, D
C,  Db, A,  Gb, B,  E,  Ab, D,  Bb, F,  G,  Eb




columns a,f,g,d,bb,e,ab,db,gb,eb,b,c  8,2,7,8,6,4,5,5,9,8,1,9




C,  Db, A,  Gb, B,  E,  Ab, D,  Bb, F,  G,  Eb
B,  C,  Ab, F,  Bb, Eb, G,  Db, A,  E,  Gb, D
Eb, E,  C,  A,  D,  G,  B,  F,  Db, Ab, Bb, Gb     <-----
Gb, G,  Eb, C,  F,  Bb, D,  Ab, E,  B,  Db, A
Db, D,  Bb, G,  C,  F,  A,  Eb, B,  Gb, Ab, E
Ab, A,  F,  D,  G,  C,  E,  Bb, Gb, Db, Eb, B
E,  F,  Db, Bb, Eb, Ab, C,  Gb, D,  A,  B,  G
Bb, B,  G,  E,  A,  D,  Gb, C,  Ab, Eb, F,  Db
D,  Eb, B,  Ab, Db, Gb, Bb, E,  C,  G,  A,  F
G,  Ab, E,  Db, Gb, B,  Eb, A,  F,  C,  D,  Bb
F,  Gb, D,  B,  E,  A,  Db, G,  Eb, Bb, C,  Ab
A,  Bb, Gb, Eb, Ab, Db, F,  B,  G,  D,  E,  C





====================================================================================

(0 2 3 9 10 6 7 1 5 8 4 11)                      name: Five Large    approved

C,D,Eb,A,Bb,F#,G,Db,F,Ab,E,B     

Intervals 2,1,6,1,8,1,6,4,3,8,7,1  [1,2,3,4,6,7,8] 7 intervals

every-other square
C,  D,  Eb, A,  Bb, F#, G,  C#, F,  Ab, E,  B    2,1,6,1,8,1,6,4,3,8,7,1,2,1,6,1,8,1,6,4,3,8,7,1
D,  A,  F#, C#, Ab, B,  C,  Eb, Bb, G,  F,  E    7,9,7,7,3,1,3,7,9,10,11,10,7,9,7,7,3,1,3,7,9,10,11,10  
A,  C#, B,  Eb, G,  E,  D,  F#, Ab, C,  Bb, F    4,10,4,4,9,10,4,2,4,10,7,4,4,10,4,4,9,10,4,2,4,10,7,4
C#, Eb, E,  F#, C,  F,  A,  B,  G,  D,  Ab, Bb   2,1,2,6,5,4,2,8,7,6,2,3,2,1,2,6,5,4,2,8,7,6,2,3
Eb, F#, F,  B,  D,  Bb, C#, E,  C,  A,  G,  Ab   3,11,6,3,8,3,3,8,9,10,1,7,3,11,6,3,8,3,3,8,9,10,1,7
F#, B,  Bb, E,  A,  Ab, Eb, F,  D,  C#, C,  G    5,11,6,5,11,7,2,9,11,11,7,11,5,11,6,5,11,7,2,9,11,11,7,11

B,  E,  Ab, F,  C#, G,  F#, Bb, A,  Eb, D,  C
E,  F,  G,  Bb, Eb, C,  B,  Ab, C#, F#, A,  D
F,  Bb, C,  Ab, F#, D,  E,  G,  Eb, B,  C#, A
Bb, Ab, D,  G,  B,  A,  F,  C,  F#, E,  Eb, C#
Ab, G,  A,  C,  E,  C#, Bb, D,  B,  F,  F#, Eb
G,  C,  C#, D,  F,  Eb, Ab, A,  E,  Bb, B,  F#



Conventional Inversion Square
        |           p
        V           
C,  D,  Eb, A,  Bb, F#, G,  C#, F,  Ab, E,  B
Bb, C,  C#, G,  Ab, E,  F,  B,  Eb, F#, D,  A
A,  B,  C,  F#, G,  Eb, E,  Bb, D,  F,  C#, Ab      <-- part
Eb, F,  F#, C,  C#, A,  Bb, E,  Ab, B,  G,  D
D,  E,  F,  B,  C,  Ab, A,  Eb, G,  Bb, F#, C#
F#, Ab, A,  Eb, E,  C,  C#, G,  B,  D,  Bb, F
F,  G,  Ab, D,  Eb, B,  C,  F#, Bb, C#, A,  E
B,  C#, D,  Ab, A,  F,  F#, C,  E,  G,  Eb, Bb    <--- part
G,  A,  Bb, E,  F,  C#, D,  Ab, C,  Eb, B,  F#
E,  F#, G,  C#, D,  Bb, B,  F,  A,  C,  Ab, Eb    <-- part
Ab, Bb, B,  F,  F#, D,  Eb, A,  C#, E,  C,  G
C#, Eb, E,  Bb, B,  G,  Ab, D,  F#, A,  F,  C     <-- most



5x/i/3/0:............Eb F  C  F# C# A  E  Bb D  B  G  Ab 2,7,6,7,8,7,6,4,9,8,1,7,2,7,6,7,8,7,6,4,9,8,1,7
p/0/0:...............C  D  Eb A  Bb F# G  C# F  Ab E  B  

5p/p/0/0:............C  F# E  A  F  D  G  B  Bb Ab Eb C# 6,10,5,8,9,5,4,11,10,7,10,11,6,10,5,8,9,5,4,11,10,7,10,11
 
5x5p/i/0/0:..........C  F# E  Eb B  D  C# F  Bb Ab A  G  6,10,11,8,3,11,4,5,10,1,10,5,6,10,11,8,3,11,4,5,10,1,10,5
 
D,Ab,C,Eb,B,F#,G,A,Bb,E,F,Db      *************


Way Back When

D,  Ab, C,  Eb, B,  F#, G,  A,  Bb, E,  F,  Db   6,4,3,8,7,1,2,1,6,1,8,1  
Ab, Eb, F#, A,  E,  Db, D,  C,  B,  G,  Bb, F
Eb, A,  Db, C,  G,  F,  Ab, F#, E,  D,  B,  Bb
A,  C,  F,  F#, D,  Bb, Eb, Db, G,  Ab, E,  B
C,  F#, Bb, Db, Ab, B,  A,  F,  D,  Eb, G,  E
F#, Db, B,  F,  Eb, E,  C,  Bb, Ab, A,  D,  G

Db, F,  E,  Bb, A,  G,  F#, B,  Eb, C,  Ab, D
F,  Bb, G,  B,  C,  D,  Db, E,  A,  F#, Eb, Ab
Bb, B,  D,  E,  F#, Ab, F,  G,  C,  Db, A,  Eb
B,  E,  Ab, G,  Db, Eb, Bb, D,  F#, F,  C,  A
E,  G,  Eb, D,  F,  A,  B,  Ab, Db, Bb, F#, C
G,  D,  A,  Ab, Bb, C,  E,  Eb, F,  B,  Db, F#



====================================================================================

(0 2 5 4 10 7 11 6 9 1 3 8)                   name: Degenerate      approved
0,  2,  5,  4,  10, 7,  11, 6,  9,  1,  3,  8
2,  4,  7,  6,  1,  8,  0,  5,  10, 11, 9,  3
4,  6,  8,  5,  11, 3,  2,  7,  1,  0,  10, 9
6,  5,  3,  7,  0,  9,  4,  8,  11, 2,  1,  10
5,  7,  9,  8,  2,  10, 6,  3,  0,  4,  11, 1
7,  8,  10, 3,  4,  1,  5,  9,  2,  6,  0,  11
8,  3,  1,  9,  6,  11, 7,  10, 4,  5,  2,  0
3,  9,  11, 10, 5,  0,  8,  1,  6,  7,  4,  2
9,  10, 0,  1,  7,  2,  3,  11, 5,  8,  6,  4
10, 1,  2,  11, 8,  4,  9,  0,  7,  3,  5,  6
1,  11, 4,  0,  3,  6,  10, 2,  8,  9,  7,  5
11, 0,  6,  2,  9,  5,  1,  4,  3,  10, 8,  7
 

C,D,F,E,Bb,G,B,Gb,A,Db,Eb,Ab

2,3,11,6,9,4,7,3,4,2,5,4  intervals        [2,3,4,5,6,7,9,11] = 8 intervals
10,9,1,6,3,8,5,9,8,10,7,8  inversion intervals




C,  D,  F,  E,  Bb, G,  B,  Gb, A,  Db, Eb, Ab  2,3,11,6,9,4,7,3,4,2,5,4  intervals
D,  E,  G,  Gb, Db, Ab, C,  F,  Bb, B,  A,  Eb  2,3,11,7,7,4,5,5,1,10,6,11
E,  Gb, Ab, F,  B,  Eb, D,  G,  Db, C,  Bb, A   2,2,9,6,4,11,5,6,11,10,11,7
Gb, F,  Eb, G,  C,  A,  E,  Ab, B,  D,  Db, Bb  11,10,4,5,9,7,4,3,3,11,9,8
F,  G,  A,  Ab, D,  Bb, Gb, Eb, C,  E,  B,  Db  2,2,11,6,8,8,9,9,4,7,2,4
G,  Ab, Bb, Eb, E,  Db, F,  A,  D,  Gb, C,  B   1,2,5,1,9,4,4,5,4,6,11,8

Ab, Eb, Db, A,  Gb, B,  G,  Bb, E,  F,  D,  C
Eb, A,  B,  Bb, F,  C,  Ab, Db, Gb, G,  E,  D
A,  Bb, C,  Db, G,  D,  Eb, B,  F,  Ab, Gb, E
Bb, Db, D,  B,  Ab, E,  A,  C,  G,  Eb, F,  Gb
Db, B,  E,  C,  Eb, Gb, Bb, D,  Ab, A,  G,  F
B,  C,  Gb, D,  A,  F,  Db, E,  Eb, Bb, Ab, G
2,2,2,11,2,1,7,6,1,3,10,1




C,  D,  F,  E,  Bb, G,  B,  Gb, A,  Db, Eb, Ab 2,3,11,6,9,4,7,3,4,2,5,4 intervals
Bb, C,  Eb, D,  Ab, F,  A,  E,  G,  B,  Db, Gb
G,  A,  C,  B,  F,  D,  Gb, Db, E,  Ab, Bb, Eb  
Ab, Bb, Db, C,  Gb, Eb, G,  D,  F,  A,  B,  E
D,  E,  G,  Gb, C,  A,  Db, Ab, B,  Eb, F,  Bb
F,  G,  Bb, A,  Eb, C,  E,  B,  D,  Gb, Ab, Db
Db, Eb, Gb, F,  B,  Ab, C,  G,  Bb, D,  E,  A
Gb, Ab, B,  Bb, E,  Db, F,  C,  Eb, G,  A,  D
Eb, F,  Ab, G,  Db, Bb, D,  A,  C,  E,  Gb, B
B,  Db, E,  Eb, A,  Gb, Bb, F,  Ab, C,  D,  G
A,  B,  D,  Db, G,  E,  Ab, Eb, Gb, Bb, C,  F
E,  Gb, A,  Ab, D,  B,  Eb, Bb, Db, F,  G,  C


C,  D,  F,  E,  Bb, G,  B,  Gb, A,  Db, Eb, Ab 2,3,11,6,9,4,7,3,4,2,5,4 intervals
[2,3,4,5,6,7,9,11] = 8 intervals

5x/i/3/0:............Eb F  D  G  C# E  Ab A  F# Bb C  B  
2,9,5,6,3,4,1,9,4,2,11,4,2,9,5,6,3,4,1,9,4,2,11,4 

5p/p/0/0:............C  G  Eb E  A  D  B  Ab Bb C# F  F# 
7,8,1,5,5,9,9,2,3,4,1,6,7,8,1,5,5,9,9,2,3,4,1,6
 
5x5p/r/4/8:..........C  G  Eb E  Bb F  A  F# Ab B  D  C# 
7,8,1,6,7,4,9,2,3,3,11,11,7,8,1,6,7,4,9,2,3,3,11,11 


====================================================================================
(0 2 6 3 11 7 9 4 10 1 5 8)                           Name: The Ni of '73
see 0 4 6 10 7 3 11 1 8 2 5 9



http://www.internationalskeptics.com/forums/showthread.php?postid=12136549#post12136549
====================================================================================

(0 2 8 4 5 10 1 6 3 7 9 11) 
C,D,Ab,E,F,Bb,Db,Gb,Eb,G,A,B intervals: 2,6,8,1,5,3,5,9,4,2,2,1
[1,2,3,4,5,6,8,9] = 8 intervals                        Name: Too Tuesday      approved
C,  D,  Ab, E,  F,  Bb, Db, Gb, Eb, G,  A,  B     2,6,8,1,5,3,5,9,4,2,2,1,
D,  E,  Bb, Gb, G,  B,  C,  Ab, F,  Db, Eb, A     2,6,8,1,4,1,8,9,8,2,6,5
E,  Gb, B,  Ab, Db, A,  D,  Bb, G,  C,  F,  Eb    2,5,9,5,8,5,8,9,5,5,10,1
Gb, Ab, A,  Bb, C,  Eb, E,  B,  Db, D,  G,  F     2,1,1,2,3,1,7,2,1,5,10,1
Ab, Bb, Eb, B,  D,  F,  Gb, A,  C,  E,  Db, G     2,5,8,3,3,1,3,3,4,9,6,1
Bb, B,  F,  A,  E,  G,  Ab, Eb, D,  Gb, C,  Db    1,6,4,7,3,1,7,11,4,6,1,9

B,  A,  G,  Eb, Gb, Db, Bb, F,  E,  Ab, D,  C
A,  Eb, Db, F,  Ab, C,  B,  G,  Gb, Bb, E,  D
Eb, F,  C,  G,  Bb, D,  A,  Db, Ab, B,  Gb, E
F,  G,  D,  Db, B,  E,  Eb, C,  Bb, A,  Ab, Gb
G,  Db, E,  C,  A,  Gb, F,  D,  B,  Eb, Bb, Ab
Db, C,  Gb, D,  Eb, Ab, G,  E,  A,  F,  B,  Bb
every-other square column intervals 2,2,2,2,2,1,10,6,2,2,6,11



C,  D,  Ab, E,  F,  Bb, Db, Gb, Eb, G,  A,  B
Bb, C,  Gb, D,  Eb, Ab, B,  E,  Db, F,  G,  A
E,  Gb, C,  Ab, A,  D,  F,  Bb, G,  B,  Db, Eb
Ab, Bb, E,  C,  Db, Gb, A,  D,  B,  Eb, F,  G
G,  A,  Eb, B,  C,  F,  Ab, Db, Bb, D,  E,  Gb
D,  E,  Bb, Gb, G,  C,  Eb, Ab, F,  A,  B,  Db
B,  Db, G,  Eb, E,  A,  C,  F,  D,  Gb, Ab, Bb
Gb, Ab, D,  Bb, B,  E,  G,  C,  A,  Db, Eb, F
A,  B,  F,  Db, D,  G,  Bb, Eb, C,  E,  Gb, Ab
F,  G,  Db, A,  Bb, Eb, Gb, B,  Ab, C,  D,  E
Eb, F,  B,  G,  Ab, Db, E,  A,  Gb, Bb, C,  D
Db, Eb, A,  F,  Gb, B,  D,  G,  E,  Ab, Bb, C


5x/i/3/0:............Eb F  B  G  D  C# Bb A  C  E  F# Ab 
2,6,8,7,11,9,11,3,4,2,2,7,2,6,8,7,11,9,11,3,4,2,2,7


5p/p/0/0:............C  Bb A  E  Eb D  C# B  F  G  Ab F# 
10,11,7,11,11,11,10,6,2,1,10,6,10,11,7,11,11,11,10,6,2,1,10,6


5p/ri/11/4:..........C  Bb A  Ab G  D  C# B  F  Eb E  F# 
10,11,11,11,7,11,10,6,10,1,2,6,10,11,11,11,7,11,10,6,10,1,2,6

====================================================================================

(0 3 2 6 4 5 10 9 11 7 1 8)  
C,Eb,D,F#,E,F,Bb,A,B,G,Db,Ab

C,  Eb, D,  F#, E,  F,  Bb, A,  B,  G,  Db, Ab
Eb, F#, F,  A,  G,  Ab, C,  D,  E,  Bb, B,  Db
F#, A,  Ab, D,  Bb, Db, Eb, F,  G,  C,  E,  B
A,  D,  Db, F,  C,  B,  F#, Ab, Bb, Eb, G,  E
D,  F,  B,  Ab, Eb, E,  A,  Db, C,  F#, Bb, G
F,  Ab, E,  Db, F#, G,  D,  B,  Eb, A,  C,  Bb
Ab, Db, G,  B,  A,  Bb, F,  E,  F#, D,  Eb, C
Db, B,  Bb, E,  D,  C,  Ab, G,  A,  F,  F#, Eb
B,  E,  C,  G,  F,  Eb, Db, Bb, D,  Ab, A,  F#
E,  G,  Eb, Bb, Ab, F#, B,  C,  F,  Db, D,  A
G,  Bb, F#, C,  Db, A,  E,  Eb, Ab, B,  F,  D
Bb, C,  A,  Eb, B,  D,  G,  F#, Db, E,  Ab, F


====================================================================================

(0 3 4 6 11 7 9 1 8 2 5 10)  
C,Eb,E,F#,B,G,A,Db,Ab,D,F,Bb


C,  Eb, E,  F#, B,  G,  A,  Db, Ab, D,  F,  Bb
Eb, F#, G,  Db, D,  Bb, C,  E,  B,  A,  Ab, F
F#, Db, Bb, E,  A,  F,  Eb, G,  D,  C,  B,  Ab
Db, E,  F,  G,  C,  Ab, F#, Bb, A,  Eb, D,  B
E,  G,  Ab, Bb, Eb, B,  Db, F,  C,  F#, A,  D
G,  Bb, B,  F,  F#, D,  E,  Ab, Eb, Db, C,  A
Bb, F,  D,  Ab, Db, A,  G,  B,  F#, E,  Eb, C
F,  Ab, A,  B,  E,  C,  Bb, D,  Db, G,  F#, Eb
Ab, B,  C,  D,  G,  Eb, F,  A,  E,  Bb, Db, F#
B,  D,  Eb, A,  Bb, F#, Ab, C,  G,  F,  E,  Db
D,  A,  F#, C,  F,  Db, B,  Eb, Bb, Ab, G,  E
A,  C,  Db, Eb, Ab, E,  D,  F#, F,  B,  Bb, G


                                                             
====================================================================================

(0 3 7 6 4 10 8 9 2 11 5 1) intervals:3,4,11,10,6,10,1,5,9,6,8,11
C,Eb,G,F#,E,Bb,Ab,A,D,B,F,Db                                             Name: ?    approved

C,  Eb, G,  F#, E,  Bb, Ab, A,  D,  B,  F,  Db    3,4,11,10,6,10,1,5,9,6,8,11
Eb, F#, Bb, A,  B,  Db, C,  G,  E,  Ab, D,  F     3,4,11,2,2,11,7,9,4,6,3,10
F#, A,  Db, G,  Ab, F,  Eb, Bb, B,  C,  E,  D     3,4,6,1,9,10,7,1,1,4,10,4
A,  G,  F,  Bb, C,  D,  F#, Db, Ab, Eb, B,  E     10,10,5,2,2,4,7,7,7,8,5,5
G,  Bb, D,  Db, Eb, E,  A,  F,  C,  F#, Ab, B     3,4,11,2,1,5,8,7,6,2,3,8
Bb, Db, E,  F,  F#, B,  G,  D,  Eb, A,  C,  Ab    3,3,1,1,5,8,7,1,6,3,8,2

Db, F,  B,  D,  A,  Ab, Bb, E,  F#, G,  Eb, C
F,  D,  Ab, E,  G,  C,  Db, B,  A,  Bb, F#, Eb
D,  E,  C,  B,  Bb, Eb, F,  Ab, G,  Db, A,  F#
E,  B,  Eb, Ab, Db, F#, D,  C,  Bb, F,  G,  A
B,  Ab, F#, C,  F,  A,  E,  Eb, Db, D,  Bb, G
Ab, C,  A,  Eb, D,  G,  B,  F#, F,  E,  Db, Bb
column intervals:3,3,3,10,3,3,4,9,2,8,9,4


5x/i/3/0:............Eb C  E  A  G  C# B  F# F  Ab D  Bb 
9,4,5,10,6,10,7,11,3,6,8,5,9,4,5,10,6,10,7,11,3,6,8,5



5p/p/0/0:............C  Bb F  F# D  Eb Ab C# E  B  G  A 
10,7,1,8,1,5,5,3,7,8,2,3,10,7,1,8,1,5,5,3,7,8,2,3 
 
====================================================================================
                                                               Name: Billy's Childe
0 3 8 4 7 11 6 9 2 10 5 1     see (0 7 3 2 5 10 6 9 1 8 11 4)
====================================================================================


(0 3 8 10 7 11 5 1 4 2 9 6)* intervals:3,5,2,9,4,6,8,3,10,7,9,6
C,Eb,Ab,Bb,G,B,F,Db,E,D,A,F#    [2,3,4,5,6,7,8,9,10] = 9 intervals
                                                                        Name:  Row 1   appproved

C,  Eb, Ab, Bb, G,  B,  F,  Db, E,  D,  A,  F#  3,5,2,9,4,6,8,3,10,7,9,6
Eb, Bb, B,  Db, D,  F#, C,  Ab, G,  F,  E,  A   7,1,2,1,4,6,8,11,10,11,5,6      ********* nice self-sim
Bb, Db, F#, Ab, F,  A,  Eb, B,  D,  C,  G,  E   3,5,2,9,4,6,8,3,10,7,9,6
Db, Ab, A,  B,  C,  E,  Bb, F#, F,  Eb, D,  G   7,1,2,1,4,6,8,11,10,11,5,6
Ab, B,  E,  F#, Eb, G,  Db, A,  C,  Bb, F,  D   3,5,2,9,4,6,8,3,10,7,9,6
B,  F#, G,  A,  Bb, D,  Ab, E,  Eb, Db, C,  F   7,1,2,1,4,6,8,11,10,11,5,6

F#, A,  D,  E,  Db, F,  B,  G,  Bb, Ab, Eb, C
A,  E,  F,  G,  Ab, C,  F#, D,  Db, B,  Bb, Eb
E,  G,  C,  D,  B,  Eb, A,  F,  Ab, F#, Db, Bb
G,  D,  Eb, F,  F#, Bb, E,  C,  B,  A,  Ab, Db
D,  F,  Bb, C,  A,  Db, G,  Eb, F#, E,  B,  Ab
F,  C,  Db, Eb, E,  Ab, D,  Bb, A,  G,  F#, B

column intervals: 3,7,3,7,3,7,3,7,3,7,3,7   (!)



9,11,2,3,4,6,8,9,10,1,3,6,9,11,2,3,4,6,8,9,10,1,3,6
5x/i/3/0:............Eb C  B  C# E  Ab D  Bb G  F  F# A  

11,10,1,6,11,2,1,1,7,6,5,11,11,10,1,6,11,2,1,1,7,6,5,11 
5p/p/0/0:............C  B  A  Bb E  Eb F  F# G  D  Ab C# 
 

====================================================================================
(0 3 10 7 8 1 4 2 6 11 9 5) intervals:3,7,9,1,5,3,10,4,5,10,8,7
C,Eb,Bb,G,Ab,Db,E,D,F#,B,A,F
                                                        Name: Jejune          approved

C,  Eb, Bb, G,  Ab, Db, E,  D,  F#, B,  A,  F     3,7,9,1,5,3,10,4,5,10,8,7
Eb, G,  Db, D,  B,  F,  C,  Bb, Ab, E,  F#, A     4,6,1,9,6,7,10,10,8,2,3,6
G,  D,  F,  Bb, E,  A,  Eb, Db, B,  C,  Ab, F#    7,3,5,6,5,6,10,10,1,8,10,1
D,  Bb, A,  Db, C,  F#, G,  F,  E,  Eb, B,  Ab    8,11,4,11,6,1,10,11,11,8,9,6
Bb, Db, F#, F,  Eb, Ab, D,  A,  C,  G,  E,  B     3,5,11,10,5,6,7,3,7,9,7,11
Db, F,  Ab, A,  G,  B,  Bb, F#, Eb, D,  C,  E     4,3,1,10,4,11,8,9,11,10,4,9

F,  A,  B,  F#, D,  E,  Db, Ab, G,  Bb, Eb, C
A,  F#, E,  Ab, Bb, C,  F,  B,  D,  Db, G,  Eb
F#, Ab, C,  B,  Db, Eb, A,  E,  Bb, F,  D,  G
Ab, B,  Eb, E,  F,  G,  F#, C,  Db, A,  Bb, D
B,  E,  G,  C,  A,  D,  Ab, Eb, F,  F#, Db, Bb
E,  C,  D,  Eb, F#, Bb, B,  G,  A,  Ab, F,  Db
column intervals:3,4,7,8,3,4,4,9,2,3,5,8


5x/i/3/0:............Eb C  C# E  B  Bb G  F  A  Ab F# D  
9,1,3,7,11,9,10,4,11,10,8,1,9,1,3,7,11,9,10,4,11,10,8,1

5p/p/0/0:............C  C# A  G  F# Eb E  F  Ab B  Bb D  
1,8,10,11,9,1,1,3,3,11,4,10,1,8,10,11,9,1,1,3,3,11,4,10  


====================================================================================
see 0 2 6 3 11          This is a rotation of:                The Ni of '73     approved
(0 4 6 10 7 3 11 1 8 2 5 9) intervals:4,2,4,9,8,8,2,7,6,3,4,3 
C,E,F#,Bb,G,Eb,B,Db,Ab,D,F,A

C,  E,  F#, Bb, G,  Eb, B,  Db, Ab, D,  F,  A     4,2,4,9,8,8,2,7,6,3,4,3 
E,  Bb, Eb, Db, D,  A,  C,  F#, G,  B,  Ab, F     6,5,10,1,7,3,6,1,4,9,9,11
Bb, Db, A,  F#, B,  F,  E,  Eb, D,  C,  G,  Ab    3,8,9,5,6,11,11,11,10,7,1,2
Db, F#, F,  Eb, C,  Ab, Bb, A,  B,  E,  D,  G     5,11,10,9,8,2,11,2,5,10,5,6
F#, Eb, Ab, A,  E,  G,  Db, F,  C,  Bb, B,  D     9,5,1,7,3,6,4,7,10,1,3,4
Eb, A,  G,  F,  Bb, D,  F#, Ab, E,  Db, C,  B     6,10,10,5,4,4,2,8,9,11,11,4

A,  F,  D,  Ab, Db, B,  Eb, G,  Bb, F#, E,  C
F,  Ab, B,  G,  F#, C,  A,  D,  Db, Eb, Bb, E
Ab, G,  C,  D,  Eb, E,  F,  B,  F#, A,  Db, Bb
G,  D,  E,  B,  A,  Bb, Ab, C,  Eb, F,  F#, Db
D,  B,  Bb, C,  F,  Db, G,  E,  A,  Ab, Eb, F#
B,  C,  Db, E,  Ab, F#, D,  Bb, F,  G,  A,  Eb
column intervals:4,10,3,5,9,6,8,3,11,7,9,1




5x/i/3/0:............Eb G  A  C# E  C  Ab Bb B  F  D  F# 
4,2,4,3,8,8,2,1,6,9,4,9,4,2,4,3,8,8,2,1,6,9,4,9


5p/ri/3/10:..........C  Eb D  A  C# Ab F# E  B  G  F  Bb 
3,11,7,4,7,10,10,7,8,10,5,2,3,11,7,4,7,10,10,7,8,10,5,2
 

====================================================================================

(0 4 7 8 1 11 9 3 10 5 6 2) intervals:4,3,1,5,10,10,6,7,7,1,8,10 
                                                  Name: Gathering Ladma      approved
C,E,G,Ab,Db,B,A,Eb,Bb,F,Gb,D

C,  E,  G,  Ab, Db, B,  A,  Eb, Bb, F,  Gb, D    4,3,1,5,10,10,6,7,7,1,8,10
E,  Ab, B,  Eb, F,  D,  C,  G,  Db, A,  Bb, Gb   4,3,4,2,9,10,7,6,8,1,8,10
Ab, Eb, D,  G,  A,  Gb, E,  B,  F,  C,  Db, Bb   7,11,5,2,9,10,7,6,7,1,9,10
Eb, G,  Gb, B,  C,  Bb, Ab, D,  A,  E,  F,  Db   4,11,5,1,10,10,6,7,7,1,8,2
G,  B,  Bb, D,  E,  Db, Eb, Gb, C,  Ab, A,  F    4,11,4,2,9,2,3,6,8,1,8,2
B,  D,  Db, Gb, Ab, F,  G,  Bb, E,  Eb, C,  A    3,11,5,2,9,2,3,6,11,9,9,2

D,  Gb, F,  Bb, Eb, A,  B,  Db, Ab, G,  E,  C
Gb, Bb, A,  Db, G,  C,  D,  F,  Eb, B,  Ab, E
Bb, Db, C,  F,  B,  E,  Gb, A,  G,  D,  Eb, Ab
Db, F,  E,  A,  D,  Ab, Bb, C,  B,  Gb, G,  Eb
F,  A,  Ab, C,  Gb, Eb, Db, E,  D,  Bb, B,  G
A,  C,  Eb, E,  Bb, G,  F,  Ab, Gb, Db, D,  B
column intervals:4,4,7,4,4,3,4,4,3,4,4,3

original title was Gathering Blandness
http://www.internationalskeptics.com/forums/showthread.php?postid=12135453#post12135453


5p/i/10/10:..........Eb G  Bb B  E  D  C  F# C# Ab A  F  
4,3,1,5,10,10,6,7,7,1,8,10,4,3,1,5,10,10,6,7,7,1,8,10       is same as original series
 

5x/i/9/0:............A  C# Bb F  E  D  C  F# G  Ab Eb B  
4,9,7,11,10,10,6,1,1,7,8,10,4,9,7,11,10,10,6,1,1,7,8,10
 

5x5p/p/4/10:.........Eb G  E  B  Bb Ab F# C  C# D  A  F  
4,9,7,11,10,10,6,1,1,7,8,10,4,9,7,11,10,10,6,1,1,7,8,10
 


C,  E,  G,  Ab, Db, B,  A,  Eb, Bb, F,  Gb, D
Ab, C,  Eb, E,  A,  G,  F,  B,  Gb, Db, D,  Bb
F,  A,  C,  Db, Gb, E,  D,  Ab, Eb, Bb, B,  G
E,  Ab, B,  C,  F,  Eb, Db, G,  D,  A,  Bb, Gb
B,  Eb, Gb, G,  C,  Bb, Ab, D,  A,  E,  F,  Db
Db, F,  Ab, A,  D,  C,  Bb, E,  B,  Gb, G,  Eb
Eb, G,  Bb, B,  E,  D,  C,  Gb, Db, Ab, A,  F
A,  Db, E,  F,  Bb, Ab, Gb, C,  G,  D,  Eb, B
D,  Gb, A,  Bb, Eb, Db, B,  F,  C,  G,  Ab, E
G,  B,  D,  Eb, Ab, Gb, E,  Bb, F,  C,  Db, A
Gb, Bb, Db, D,  G,  F,  Eb, A,  E,  B,  C,  Ab
Bb, D,  F,  Gb, B,  A,  G,  Db, Ab, Eb, E,  C


====================================================================================

(0 5 4 10 1 9 7 3 8 6 11 2) intervals:5,11,6,4,7,10,8,5,10,5,3,10
C,F,E,Bb,Db,A,G,Eb,Ab,Gb,B,D                      Name: CovFEfe     approved
CovFEfe
C,* F,* E,* Bb, Db, A,* G,* Eb, Ab, Gb, B,* D  5,11,6,4,7,10,8,5,10,5,3,10
F,* Bb, A,* Eb, Gb, D,* C,* E,* Db, G,* Ab, B  5,11,6,3,8,10,4,9,6,1,3,6
Bb, Eb, D,* E,* G,* B,* F,* A,* Gb, C,* Db, Ab 5,11,2,3,4,6,4,9,6,1,7,2
Eb, E,* B,* A,* C,* Ab, Bb, D,* G,* F,* Gb, Db 1,7,10,3,8,2,4,5,10,1,7,2
E,* A,* Ab, D,* F,* Db, Eb, B,* C,* Bb, G,* Gb 5,11,6,3,8,2,8,1,10,3,11,10
A,* D,* Db, B,* Bb, Gb, E,* Ab, F,* Eb, C,* G  5,11,10,11,8,10,4,9,10,9,7,2

D,  B,  Gb, Ab, Eb, G,  A,  Db, Bb, E,  F,  C
B,  Ab, G,  Db, E,  C,  D,  Gb, Eb, A,  Bb, F
Ab, Db, C,  Gb, A,  F,  B,  G,  E,  D,  Eb, Bb
Db, Gb, F,  G,  D,  Bb, Ab, C,  A,  B,  E,  Eb
Gb, G,  Bb, C,  B,  Eb, Db, F,  D,  Ab, A,  E
G,  C,  Eb, F,  Ab, E,  Gb, Bb, B,  Db, D,  A
column intervals:5,5,5,2,5,5,9,9,5,5,1,5
http://www.internationalskeptics.com/forums/showthread.php?postid=12137543#post12137543

5x/i/3/0:............Eb D  G  C# Bb F# E  C  B  A  Ab F  
11,5,6,9,8,10,8,11,10,11,9,10,11,5,6,9,8,10,8,11,10,11,9,10

5p/p/0/0:............C  A  B  Bb Ab F  G  D  C# F# E  Eb 
9,2,11,10,9,2,7,11,5,10,11,9,9,2,11,10,9,2,7,11,5,10,11,9  
 
 

====================================================================================

(0 5 8 10 4 1 11 3 7 9 2 6) intervals:5,3,2,6,9,10,4,4,2,5,4,6 
C,F,Ab,Bb,E,Db,B,Eb,G,A,D,Gb                      Name:  Big ****in' Deal    approved

C,* F,* Ab, Bb, E,* Db, B,* Eb, G,* A,* D,* Gb 5,3,2,6,9,10,4,4,2,5,4,6
F,* Bb, Db, Eb, A,* Gb, C,* Ab, E,* B,* G,* D  5,3,2,6,9,6,8,8,7,8,7,3
Bb, Eb, Gb, Ab, B,* D,* F,* Db, A,* C,* E,* G  5,3,2,3,3,3,8,8,3,4,3,3
Eb, Ab, D,* Db, C,* G,* Bb, Gb, B,* F,* A,* E  5,6,11,11,7,3,8,5,6,4,7,11
Ab, Db, G,* Gb, F,* E,* Eb, D,* C,* Bb, B,* A  5,6,11,11,11,11,11,11,10,10,1,10,11
Db, Gb, E,* D,* Bb, A,* Ab, G,* F,* Eb, C,* B  5,10,10,8,11,11,11,10,10,9,11,2

Gb, D,  A,  G,  Eb, B,  Db, E,  Bb, Ab, F,  C
D,  G,  B,  E,  Ab, C,  Gb, A,  Eb, Db, Bb, F
G,  E,  C,  A,  Db, F,  D,  B,  Ab, Gb, Eb, Bb
E,  A,  F,  B,  Gb, Bb, G,  C,  Db, D,  Ab, Eb
A,  B,  Bb, C,  D,  Eb, E,  F,  Gb, G,  Db, Ab
B,  C,  Eb, F,  G,  Ab, A,  Bb, D,  E,  Gb, Db
column intervals:5,5,5,5,5,5,8,5,9,5,2,1


5x/i/3/0:............Eb D  B  C# G  Bb Ab C  E  F# F  A  
11,9,2,6,3,10,4,4,2,11,4,6,11,9,2,6,3,10,4,4,2,11,4,6,


5p/p/0/0:............C  C# D  Bb G  F  B  F# E  A  Ab Eb 
1,1,8,9,10,6,7,10,5,11,7,9,1,1,8,9,10,6,7,10,5,11,7,9

====================================================================================

(0 5 11 10 8 4 6 3 7 1 2 9) 
C,F,B,Bb,Ab,E,F#,Eb,G,Db,D,A

C,  F,  B,  Bb, Ab, E,  F#, Eb, G,  Db, D,  A
F,  Bb, E,  Eb, Db, A,  C,  B,  Ab, F#, G,  D
Bb, Eb, A,  B,  F#, D,  F,  E,  Db, C,  Ab, G
Eb, B,  D,  E,  C,  G,  Bb, A,  F#, F,  Db, Ab
B,  E,  G,  A,  F,  Ab, Eb, D,  C,  Bb, F#, Db
E,  A,  Ab, D,  Bb, Db, B,  G,  F,  Eb, C,  F#
A,  D,  Db, G,  Eb, F#, E,  Ab, Bb, B,  F,  C
D,  G,  F#, Ab, B,  C,  A,  Db, Eb, E,  Bb, F
G,  Ab, C,  Db, E,  F,  D,  F#, B,  A,  Eb, Bb
Ab, Db, F,  F#, A,  Bb, G,  C,  E,  D,  B,  Eb
Db, F#, Bb, C,  D,  Eb, Ab, F,  A,  G,  E,  B
F#, C,  Eb, F,  G,  B,  Db, Bb, D,  Ab, A,  E

====================================================================================

(0 7 2 1 4 9 5 8 6 10 3 11) intervals:7,7,11,3,5,8,3,10,4,5,8,1
C,G,D,Db,E,A,F,Ab,Gb,Bb,Eb,B
                                                                    Name:  BC Perm    approved

C,* G,* D,* Db, E,* A,* F,* Ab, Gb, bb, Eb, B *  7,7,11,3,5,8,3,10,4,5,8,1
G,* Db, A,* Ab, bb, B,* C,* D,* E,* F,* Gb, Eb * 6,8,11,2,1,1,2,2,1,1,9,4
Db, Ab, B,* D,* F,* Eb, G,* A,* bb, C,* E,* Gb * 7,3,3,3,10,4,2,1,2,4,2,7
Ab, D,* Eb, A,* C,* Gb, Db, B,* F,* G,* bb, E    6,1,6,3,6,7,10,6,2,3,6,4
D,* A,* Gb, B,* G,* E,* Ab, Eb, C,* Db, F,* bb*  7,9,5,8,9,8,7,9,1,4,5,4
A,* B,* E,* Eb, Db, bb, D,* Gb, G,* Ab, C,* F *  2,5,11,10,9,4,4,1,1,4,5,4

B,  Eb, bb, Gb, Ab, F,  A,  E,  Db, D,  G,  C
Eb, Gb, F,  E,  D,  C,  B,  bb, Ab, A,  Db, G
Gb, E,  C,  bb, A,  G,  Eb, F,  D,  B,  Ab, Db
E,  bb, G,  F,  B,  Db, Gb, C,  A,  Eb, D,  Ab
bb, F,  Db, C,  Eb, Ab, E,  G,  B,  Gb, A,  D
F,  C,  Ab, G,  Gb, D,  bb, Db, Eb, E,  B,  A
column intervals:7,6,7,6,7,2,4,3,10,6,7,7

5x/i/3/0:............Eb E  F  Bb G  F# D  B  A  C# C  Ab 
1,1,5,9,11,8,9,10,4,11,8,7,1,1,5,9,11,8,9,10,4,11,8,7


5p/p/0/0:............C  A  Eb C# F# G  F  B  E  Bb D  Ab 
9,6,10,5,1,10,6,5,6,4,6,4,9,6,10,5,1,10,6,5,6,4,6,4


similar to but not the same as jejune (0 3 10 7 8 1 4 2 6 11 9 5)

====================================================================================
(0 7 3 2 5 10 6 9 1 8 11 4)  actual rotation  see also:0 3 8 4 7 11 6 9 2 10 5 1
                                                  Name: Billy's Childe       approved

Bb, F,  Db, C,  Eb, Ab, E,  G,  B,  F#, A,  D    7,8,11,3,5,8,3,4,7,3,5,8
F,  C,  Ab, G,  F#, D,  Bb, Db, Eb, E,  B,  A    7,8,11,11,8,8,3,2,1,7,10,8
C,  G,  D,  Db, E,  A,  F,  Ab, F#, Bb, Eb, B    7,7,11,3,5,8,3,10,4,5,8,1
G,  Db, A,  Ab, Bb, B,  C,  D,  E,  F,  F#, Eb   6,8,11,2,1,1,2,2,1,1,9,4
Db, Ab, B,  D,  F,  Eb, G,  A,  Bb, C,  E,  F#   7,3,3,3,10,4,2,1,2,4,2,7
Ab, D,  Eb, A,  C,  F#, Db, B,  F,  G,  Bb, E    6,1,6,3,6,7,10,6,2,3,6,4

D,  A,  F#, B,  G,  E,  Ab, Eb, C,  Db, F,  Bb
A,  B,  E,  Eb, Db, Bb, D,  F#, G,  Ab, C,  F
B,  Eb, Bb, F#, Ab, F,  A,  E,  Db, D,  G,  C
Eb, F#, F,  E,  D,  C,  B,  Bb, Ab, A,  Db, G
F#, E,  C,  Bb, A,  G,  Eb, F,  D,  B,  Ab, Db
E,  Bb, G,  F,  B,  Db, F#, C,  A,  Eb, D,  Ab


7,7,7,6,7,6,7,2,4,3,10,6


Bb, F,  Db, C,  Eb, Ab, E,  G,  B,  F#, A,  D  7,8,11,3,5,8,3,4,7,3,5,8 [3,4,5,7,8,11] = 6 intervals
Eb, Bb, F#, F,  Ab, Db, A,  C,  E,  B,  D,  G
G,  D,  Bb, A,  C,  F,  Db, E,  Ab, Eb, F#, B
Ab, Eb, B,  Bb, Db, F#, D,  F,  A,  E,  G,  C
F,  C,  Ab, G,  Bb, Eb, B,  D,  F#, Db, E,  A
C,  G,  Eb, D,  F,  Bb, F#, A,  Db, Ab, B,  E
E,  B,  G,  F#, A,  D,  Bb, Db, F,  C,  Eb, Ab
Db, Ab, E,  Eb, F#, B,  G,  Bb, D,  A,  C,  F
A,  E,  C,  B,  D,  G,  Eb, F#, Bb, F,  Ab, Db
D,  A,  F,  E,  G,  C,  Ab, B,  Eb, Bb, Db, F#
B,  F#, D,  Db, E,  A,  F,  Ab, C,  G,  Bb, Eb
F#, Db, A,  Ab, B,  E,  C,  Eb, G,  D,  F,  Bb


5x/i/5/0:............G  Ab E  A  F# F  C# Bb D  Eb C  B  
1,8,5,9,11,8,9,4,1,9,11,8,1,8,5,9,11,8,9,4,1,9,11,8
 
5p/i/8/9:............Bb Eb A  F# Ab G  E  F  B  C  D  C#   any arbitrary 5p
5,6,9,2,11,9,1,6,1,2,11,9,5,6,9,2,11,9,1,6,1,2,11,9
 
  




====================================================================================

(0 7 4 2 11 1 6 10 9 5 3 8) intervals:7,9,10,9,2,5,4,11,8,10,5,4
C,G,E,D,B,Db,Gb,Bb,A,F,Eb,Ab                                Name:  Mu-tation    approved

C,* G,* E,* D,* B,* Db, Gb, Bb, A,* F,* Eb, Ab 7,9,10,9,2,5,4,11,8,10,5,4
G,* D,* Db, Bb, F,* Ab, C,* E,* B,* Gb, A,* Eb 7,11,9,7,3,4,4,7,7,3,6,4
D,* Bb, Ab, E,* Gb, Eb, G,* Db, F,* C,* B,* A  8,10,8,2,9,4,6,4,7,11,10,5
Bb, E,* Eb, Db, C,* A,* D,* Ab, Gb, G,* F,* B  6,11,10,11,9,5,6,10,1,10,5
E,* Db, A,* Ab, G,* B,* Bb, Eb, C,* D,* Gb, F  4,8,11,11,4,11,5,9,2,4,10
Db, Ab, B,* Eb, D,* F,* E,* A,* G,* Bb, C,* Gb 7,3,4,11,3,11,5,10,3,1,6,7

Ab, Eb, F,  A,  Bb, Gb, Db, B,  D,  E,  G,  C
Eb, A,  Gb, B,  E,  C,  Ab, F,  Bb, Db, D,  G
A,  B,  C,  F,  Db, G,  Eb, Gb, E,  Ab, Bb, D
B,  F,  G,  Gb, Ab, D,  A,  C,  Db, Eb, E,  Bb
F,  Gb, D,  C,  Eb, Bb, B,  G,  Ab, A,  Db, E
Gb, C,  Bb, G,  A,  E,  F,  D,  Eb, B,  Ab, Db
column intervals:7,7,8,6,9,7,7,6,2,6,1,6

5x/i/3/0:............Eb E  G  F  Ab Bb A  C# F# D  C  B  
1,3,10,3,2,11,4,5,8,10,11,4,1,3,10,3,2,11,4,5,8,10,11,4



5p/p/0/0:............C  C# Eb D  A  G  F# Ab B  F  E  Bb 
1,2,11,7,10,11,2,3,6,11,6,2,1,2,11,7,10,11,2,3,6,11,6,2


====================================================================================
(0 7 5 3 9 1 6 10 11 4 2 8) 
C,G,F,Eb,A,Db,Gb,Bb,B,E,D,Ab   7,10,10,6,4,5,4,1,5,10,6,4


C,  G,  F,  Eb, A,  Db, Gb, Bb, B,  E,  D,  Ab   7,10,10,6,4,5,4,1,5,10,6,4
G,  Eb, Db, Bb, E,  Ab, C,  F,  A,  Gb, B,  D
Eb, Bb, Ab, F,  Gb, D,  G,  Db, E,  C,  A,  B
Bb, F,  D,  Db, C,  B,  Eb, Ab, Gb, G,  E,  A
F,  Db, B,  Ab, G,  A,  Bb, D,  C,  Eb, Gb, E
Db, Ab, A,  D,  Eb, E,  F,  B,  G,  Bb, C,  Gb
Ab, D,  E,  B,  Bb, Gb, Db, A,  Eb, F,  G,  C
D,  B,  Gb, A,  F,  C,  Ab, E,  Bb, Db, Eb, G
B,  A,  C,  E,  Db, G,  D,  Gb, F,  Ab, Bb, Eb
A,  E,  G,  Gb, Ab, Eb, B,  C,  Db, D,  F,  Bb
E,  Gb, Eb, C,  D,  Bb, A,  G,  Ab, B,  Db, F
Gb, C,  Bb, G,  B,  F,  E,  Eb, D,  A,  Ab, Db
column intervals: 7,8,7,7,8,7,6,9,10,7,2,6

====================================================================================


0 7 9 11 4 2 5 10 8 6 1 3 intervals:7,2,2,5,10,3,5,10,10,7,2,9   
C,G,A,B,E,D,F,Bb,Ab,Gb,Db,Eb

                                                   Name:  Cigar Bed   (this is a rotation)   approved

C,* G,* A,* B,* E,* D,* F,* Bb, Ab, Gb, Db, Eb 7,2,2,5,10,3,5,10,10,7,2,9
G,* B,* D,* Bb, Gb, Eb, C,* A,* E,* F,* Ab, Db 4,3,8,8,9,9,9,7,1,3,5,6 
B,* Bb, Eb, A,* F,* Db, G,* D,* Gb, C,* E,* Ab 11,5,6,8,8,6,7,4,6,4,4,3
Bb, A,* Db, D,* C,* Ab, B,* Eb, F,* G,* Gb, E  11,4,1,10,8,3,4,2,2,11,10,6
A,* D,* Ab, Eb, G,* E,* Bb, Db, C,* B,* F,* Gb 5,6,7,4,9,6,3,11,11,6,1,3
D,* Eb, E,* Db, B,* Gb, A,* Ab, G,* Bb, C,* F  1,1,9,10,7,3,11,11,3,2,5,9

Eb, Db, Gb, Ab, Bb, F,  D,  E,  B,  A,  G,  C
Db, Ab, F,  E,  A,  C,  Eb, Gb, Bb, D,  B,  G
Ab, E,  C,  Gb, D,  G,  Db, F,  A,  Eb, Bb, B
E,  Gb, G,  F,  Eb, B,  Ab, C,  D,  Db, A,  Bb
Gb, F,  B,  C,  Db, Bb, E,  G,  Eb, Ab, D,  A
F,  C,  Bb, G,  Ab, A,  Gb, B,  Db, E,  Eb, D
column intervals:7,4,11,11,5,1,10,7,8,2,11,7


5p/p/0/10:...........A  Bb C  D  C# B  Ab G  F  Eb E  F# 
1,2,2,11,10,9,11,10,10,1,2,3   (!)



 
5x/p/2/6:............Eb E  F# Ab G  F  D  C# B  A  Bb C  
1,2,2,11,10,9,11,10,10,1,2,3    (!)


C,  G,  A,  B,  E,  D,  F,  Bb, Ab, Gb, Db, Eb  7,2,2,5,10,3,5,10,10,7,2,9
F,  C,  D,  E,  A,  G,  Bb, Eb, Db, B,  Gb, Ab
Eb, Bb, C,  D,  G,  F,  Ab, Db, B,  A,  E,  Gb
Db, Ab, Bb, C,  F,  Eb, Gb, B,  A,  G,  D,  E
Ab, Eb, F,  G,  C,  Bb, Db, Gb, E,  D,  A,  B
Bb, F,  G,  A,  D,  C,  Eb, Ab, Gb, E,  B,  Db
G,  D,  E,  Gb, B,  A,  C,  F,  Eb, Db, Ab, Bb
D,  A,  B,  Db, Gb, E,  G,  C,  Bb, Ab, Eb, F
E,  B,  Db, Eb, Ab, Gb, A,  D,  C,  Bb, F,  G
Gb, Db, Eb, F,  Bb, Ab, B,  E,  D,  C,  G,  A
B,  Gb, Ab, Bb, Eb, Db, E,  A,  G,  F,  C,  D
A,  E,  Gb, Ab, Db, B,  D,  G,  F,  Eb, Bb, C







====================================================================================

(0 8 2 3 5 10 7 11 6 1 4 9)    intervals: 8,6,1,2,5,9,4,7,7,3,5,3                                                                                                                            

C,Ab,D,Eb,F,Bb,G,B,F#,Db,E,A
                                                         Name:  Renuzit            approved



C,  Ab, D,  Eb, F,  Bb, G,  B,  F#, Db, E,  A     8,6,1,2,5,9,4,7,7,3,5,3
Ab, Eb, Bb, B,  Db, A,  C,  D,  F,  G,  F#, E     7,7,1,2,8,3,2,3,2,11,10,4
Eb, B,  A,  D,  G,  E,  Ab, Bb, Db, C,  F,  F#    8,10,5,5,9,4,2,3,11,5,1,9
B,  D,  E,  Bb, C,  F#, Eb, A,  G,  Ab, Db, F     3,2,6,2,6,9,6,10,1,5,4,6
D,  Bb, F#, A,  Ab, F,  B,  E,  C,  Eb, G,  Db    8,8,3,11,9,6,5,8,3,4,6,1
Bb, A,  F,  E,  Eb, Db, D,  F#, Ab, B,  C,  G     11,8,11,11,10,1,4,2,3,1,7,3

A,  E,  Db, F#, B,  G,  Bb, F,  Eb, D,  Ab, C
E,  F#, G,  F,  D,  C,  A,  Db, B,  Bb, Eb, Ab
F#, F,  C,  Db, Bb, Ab, E,  G,  D,  A,  B,  Eb
F,  Db, Ab, G,  A,  Eb, F#, C,  Bb, E,  D,  B
Db, G,  Eb, C,  E,  B,  F,  Ab, A,  F#, Bb, D
G,  C,  B,  Ab, F#, D,  Db, Eb, E,  F,  A,  Bb
column intervals: 8,7,8,3,8,11,7,2,11,8,6,5



5x/i/3/0:............Eb B  F  C  D  C# E  Ab A  Bb G  F# 
8,6,7,2,11,3,4,1,1,9,11,9,8,6,7,2,11,3,4,1,1,9,11,9 


5p/p/0/0:............C  Bb E  Eb F# Ab G  A  F  C# D  B  
10,6,11,3,2,11,2,8,8,1,9,1,10,6,11,3,2,11,2,8,8,1,9,1



5x5p/i/0/0:..........C  Bb E  A  F# Ab C# Eb B  G  D  F  
10,6,5,9,2,5,2,8,8,7,3,7,10,6,5,9,2,5,2,8,8,7,3,7 




C,  Ab, D,  Eb, F,  Bb, G,  B,  F#, Db, E,  A
E,  C,  F#, G,  A,  D,  B,  Eb, Bb, F,  Ab, Db
Bb, F#, C,  Db, Eb, Ab, F,  A,  E,  B,  D,  G
A,  F,  B,  C,  D,  G,  E,  Ab, Eb, Bb, Db, F#
G,  Eb, A,  Bb, C,  F,  D,  F#, Db, Ab, B,  E
D,  Bb, E,  F,  G,  C,  A,  Db, Ab, Eb, F#, B
F,  Db, G,  Ab, Bb, Eb, C,  E,  B,  F#, A,  D
Db, A,  Eb, E,  F#, B,  Ab, C,  G,  D,  F,  Bb
F#, D,  Ab, A,  B,  E,  Db, F,  C,  G,  Bb, Eb
B,  G,  Db, D,  E,  A,  F#, Bb, F,  C,  Eb, Ab
Ab, E,  Bb, B,  Db, F#, Eb, G,  D,  A,  C,  F
Eb, B,  F,  F#, Ab, Db, Bb, D,  A,  E,  G,  C








====================================================================================


                                                            Name:  FlyTown      approved
0 8 5 3 6 1 7 11 10 2 4 9
C,Ab,F,Eb,Gb,Db,G,B,Bb,D,E,A   intervals:  8,9,10,3,7,6,4,11,4,2,5,3


C,  Ab, F,  Eb, Gb, Db, G,  B,  Bb, D,  E,  A   8,9,10,3,7,6,4,11,4,2,5,3
Ab, Eb, Db, B,  D,  A,  C,  F,  Gb, G,  Bb, E   7,10,10,3,7,3,5,1,1,3,6,4
Eb, B,  A,  F,  G,  E,  Ab, Db, D,  C,  Gb, Bb  8,10,8,2,9,4,5,1,10,6,4,5
B,  F,  E,  Db, C,  Bb, Eb, A,  G,  Ab, D,  Gb  6,11,9,11,10,5,6,10,1,6,4,5
F,  Db, Bb, A,  Ab, Gb, B,  E,  C,  Eb, G,  D   8,9,11,11,10,5,5,8,3,4,7,3
Db, A,  Gb, E,  Eb, D,  F,  Bb, Ab, B,  C,  G   8,9,10,11,11,3,5,10,3,1,7,6

A,  E,  D,  Bb, B,  G,  Db, Gb, Eb, F,  Ab, C
E,  Bb, G,  Gb, F,  C,  A,  D,  B,  Db, Eb, Ab
Bb, Gb, C,  D,  Db, Ab, E,  G,  F,  A,  B,  Eb
Gb, D,  Ab, G,  A,  Eb, Bb, C,  Db, E,  F,  B
D,  G,  Eb, C,  E,  B,  Gb, Ab, A,  Bb, Db, F
G,  C,  B,  Ab, Bb, F,  D,  Eb, E,  Gb, A,  Db


5x/i/3/0:............Eb B  D  C  A  Bb E  Ab C# F  G  F# 
8,3,10,9,1,6,4,5,4,2,11,9,8,3,10,9,1,6,4,5,4,2,11,9 

5p/p/0/0:............C  C# E  Eb Bb Ab G  A  F# D  F  B  
1,3,11,7,10,11,2,9,8,3,6,1,1,3,11,7,10,11,2,9,8,3,6,1 


====================================================================================
                                                                Name:  Obvious Childe 015        approved
(0 8 7 4 9 5 3 10 11 1 2 6) intervals:8,11,9,5,8,10,7,1,2,1,4,6 
C,Ab,G,E,A,F,Eb,Bb,B,Db,D,Gb  [1,2,4,5,6,7,8,9,10,11] = 10 intervals

This is the approved rotation of Obvious Childe 015, see also (0 1 3 4 8 2 10 9 6 11 7 5)

C,* Ab, G,* E,* A,* F,* Eb, Bb, B,* Db, D,* Gb 8,11,9,5,8,10,7,1,2,1,4,6
Ab, E,* F,* Bb, Db, Gb, C,* G,* A,* Eb, B,* D  8,1,5,3,5,6,7,2,6,8,3,6
E,* Bb, Gb, G,* Eb, D,* Ab, F,* Db, C,* A,* B  6,8,1,8,11,6,9,8,11,9,2,5
Bb, G,* D,* F,* C,* B,* E,* Gb, Eb, Ab, Db, A* 9,7,3,7,11,5,2,9,5,5,8,1
G,* F,* B,* Gb, Ab, A,* Bb, D,* C,* E,* Eb, Db 10,6,7,2,1,1,4,10,4,11,10,6
F,* Gb, A,* D,* E,* Db, G,* B,* Ab, Bb, C,* Eb 1,3,5,2,9,6,4,9,2,2,3,2


Gb, D,  Db, B,  Bb, Eb, F,  A,  E,  G,  Ab, C
D,  B,  Eb, A,  G,  C,  Gb, Db, Bb, F,  E,  Ab
B,  A,  C,  Db, F,  Ab, D,  Eb, G,  Gb, Bb, E
A,  Db, Ab, Eb, Gb, E,  B,  C,  F,  D,  G,  Bb
Db, Eb, E,  C,  D,  Bb, A,  Ab, Gb, B,  F,  G
Eb, C,  Bb, Ab, B,  G,  Db, E,  D,  A,  Gb, F
column intervals:8,8,6,9,10,1,8,9,10,4,2,9


5x/i/3/0:............Eb B  E  G  F# D  C  C# Ab Bb F  A  
8,5,3,11,8,10,1,5,2,7,4,6,8,5,3,11,8,10,1,5,2,7,4,6


 
5p/p/0/0:............C  F  D  E  B  Ab Eb F# A  C# G  Bb 
5,9,2,7,9,7,3,3,4,6,3,2,5,9,2,7,9,7,3,3,4,6,3,2  



C,  Ab, G,  E,  A,  F,  Eb, Bb, B,  Db, D,  Gb
E,  C,  B,  Ab, Db, A,  G,  D,  Eb, F,  Gb, Bb
F,  Db, C,  A,  D,  Bb, Ab, Eb, E,  Gb, G,  B
Ab, E,  Eb, C,  F,  Db, B,  Gb, G,  A,  Bb, D
Eb, B,  Bb, G,  C,  Ab, Gb, Db, D,  E,  F,  A
G,  Eb, D,  B,  E,  C,  Bb, F,  Gb, Ab, A,  Db
A,  F,  E,  Db, Gb, D,  C,  G,  Ab, Bb, B,  Eb
D,  Bb, A,  Gb, B,  G,  F,  C,  Db, Eb, E,  Ab
Db, A,  Ab, F,  Bb, Gb, E,  B,  C,  D,  Eb, G
B,  G,  Gb, Eb, Ab, E,  D,  A,  Bb, C,  Db, F
Bb, Gb, F,  D,  G,  Eb, Db, Ab, A,  B,  C,  E
Gb, D,  Db, Bb, Eb, B,  A,  E,  F,  G,  Ab, C





====================================================================================

(0 9 1 6 11 10 5 3 2 8 4 7) intervals: 9,4,5,5,11,7,10,11,6,8,3,5
C,A,Db,Gb,B,Bb,F,Eb,D,Ab,E,G [3,4,5,6,7,8,9,10,11] = 9 intervals
                                                        Name:  Say I'm Sick     approved

C,  A,  Db, Gb, B,  Bb, F,  Eb, D,  Ab, E,  G  9,4,5,5,11,7,10,11,6,8,3,5
A,  Gb, Bb, Eb, Ab, G,  C,  Db, B,  F,  D,  E  9,4,5,5,11,5,1,10,6,9,2,5
Gb, Eb, G,  Db, F,  E,  A,  Bb, Ab, C,  B,  D  9,4,6,4,11,5,1,10,4,11,3,4
Eb, Db, E,  Bb, C,  D,  Gb, G,  F,  A,  Ab, B  10,3,6,2,2,4,1,10,4,11,3,4
Db, Bb, D,  G,  A,  B,  Eb, E,  C,  Gb, F,  Ab 9,4,5,2,2,4,1,8,6,11,3,5
Bb, G,  B,  E,  Gb, Ab, Db, D,  A,  Eb, C,  F  9,4,5,2,2,5,1,7,6,9,5,5

G,  E,  Ab, D,  Eb, F,  Bb, B,  Gb, Db, A,  C
E,  D,  F,  B,  Db, C,  G,  Ab, Eb, Bb, Gb, A
D,  B,  C,  Ab, Bb, A,  E,  F,  Db, G,  Eb, Gb
B,  Ab, A,  F,  G,  Gb, D,  C,  Bb, E,  Db, Eb
Ab, F,  Gb, C,  E,  Eb, B,  A,  G,  D,  Bb, Db
F,  C,  Eb, A,  D,  Db, Ab, Gb, E,  B,  G,  Bb
column intervals:9,9,9,10,9,9,9,10,9,9,9,7


5x/i/3/0:............Eb F# Bb A  Ab C# D  C  F  B  G  E  
3,4,11,11,5,1,10,5,6,8,9,11,3,4,11,11,5,1,10,5,6,8,9,11,

5p/p/0/0:............C  Bb E  F# D  A  F  G  B  Ab C# Eb
10,6,2,8,7,8,2,4,9,5,2,9,10,6,2,8,7,8,2,4,9,5,2,9  


C,  A,  Db, Gb, B,  Bb, F,  Eb, D,  Ab, E,  G
Eb, C,  E,  A,  D,  Db, Ab, Gb, F,  B,  G,  Bb
B,  Ab, C,  F,  Bb, A,  E,  D,  Db, G,  Eb, Gb
Gb, Eb, G,  C,  F,  E,  B,  A,  Ab, D,  Bb, Db
Db, Bb, D,  G,  C,  B,  Gb, E,  Eb, A,  F,  Ab
D,  B,  Eb, Ab, Db, C,  G,  F,  E,  Bb, Gb, A
G,  E,  Ab, Db, Gb, F,  C,  Bb, A,  Eb, B,  D
A,  Gb, Bb, Eb, Ab, G,  D,  C,  B,  F,  Db, E
Bb, G,  B,  E,  A,  Ab, Eb, Db, C,  Gb, D,  F
E,  Db, F,  Bb, Eb, D,  A,  G,  Gb, C,  Ab, B
Ab, F,  A,  D,  G,  Gb, Db, B,  Bb, E,  C,  Eb
F,  D,  Gb, B,  E,  Eb, Bb, Ab, G,  Db, A,  C






http://www.internationalskeptics.com/forums/showthread.php?postid=12138558#post12138558

====================================================================================
(0 9 2 5 4 11 8 1 7 3 6 10)
                                                                  name:  mof3  
C,A,D,F,E,B,Ab,Db,G,Eb,Gb,Bb


C,  A,  D,  F,  E,  B,  Ab, Db, G,  Eb, Gb, Bb  9,5,3,11,7,9,5,6,8,3,4,2
A,  F,  B,  Db, Eb, Bb, C,  D,  E,  Ab, G,  Gb                              9.8.9.8.11.11.4.1.9.5.1.8
F,  Db, Bb, D,  Ab, Gb, A,  B,  Eb, C,  E,  G
Db, D,  Gb, B,  C,  G,  F,  Bb, Ab, A,  Eb, E
D,  B,  G,  Bb, A,  E,  Db, Gb, C,  F,  Ab, Eb
B,  Bb, E,  Gb, F,  Eb, D,  G,  A,  Db, C,  Ab

Bb, Gb, Eb, G,  Db, Ab, B,  E,  F,  D,  A,  C   
Gb, G,  Ab, E,  D,  C,  Bb, Eb, Db, B,  F,  A
G,  E,  C,  Eb, B,  A,  Gb, Ab, D,  Bb, Db, F
E,  Eb, A,  Ab, Bb, F,  G,  C,  B,  Gb, D,  Db
Eb, Ab, F,  C,  Gb, Db, E,  A,  Bb, G,  B,  D
Ab, C,  Db, A,  G,  D,  Eb, F,  Gb, E,  Bb, B




C,  A,  D,  F,  E,  B,  Ab, Db, G,  Eb, Gb, Bb   9,5,3,11,7,9,5,6,8,3,4,2
Eb, C,  F,  Ab, G,  D,  B,  E,  Bb, Gb, A,  Db
Bb, G,  C,  Eb, D,  A,  Gb, B,  F,  Db, E,  Ab
G,  E,  A,  C,  B,  Gb, Eb, Ab, D,  Bb, Db, F
Ab, F,  Bb, Db, C,  G,  E,  A,  Eb, B,  D,  Gb     ------>
Db, Bb, Eb, Gb, F,  C,  A,  D,  Ab, E,  G,  B
E,  Db, Gb, A,  Ab, Eb, C,  F,  B,  G,  Bb, D
B,  Ab, Db, E,  Eb, Bb, G,  C,  Gb, D,  F,  A
F,  D,  G,  Bb, A,  E,  Db, Gb, C,  Ab, B,  Eb
A,  Gb, B,  D,  Db, Ab, F,  Bb, E,  C,  Eb, G
Gb, Eb, Ab, B,  Bb, F,  D,  G,  Db, A,  C,  E
D,  B,  E,  G,  Gb, Db, Bb, Eb, A,  F,  Ab, C


====================================================================================

(0 9 2 6 1 11 7 3 4 10 5 8) intervals:9,5,4,7,10,8,8,1,6,7,3,4 
C,A,D,Gb,Db,B,G,Eb,E,Bb,F,Ab   [1,3,4,5,6,7,8,9,10] = 9 intervals
                                                                  name:  Big Cad     approved

C,* A,* D,* Gb, Db, B,* G,* Eb, E,* Bb, F,* Ab 9,5,4,7,10,8,8,1,6,7,3,4
A,* Gb, B,* Eb, Bb, Ab, C,* D,* Db, G,* E,* F* 9,5,4,7,10,4,2,11,6,9,1,4
Gb, Eb, Ab, D,* G,* F,* A,* B,* Bb, C,* Db, E  9,5,6,5,10,4,2,11,2,1,3,2
Eb, D,* F,* B,* C,* E,* Gb, Ab, G,* A,* Bb, Db 11,3,6,1,4,2,2,11,2,1,3,2
D,* B,* E,* Ab, A,* Db, Eb, F,* C,* Gb, G,* Bb 9,5,4,1,4,2,2,7,6,1,3,4
B,* Ab, Db, F,* Gb, Bb, D,* E,* A,* Eb, C,* G  9,5,4,1,4,4,2,5,6,9,7,4


Ab, F,  Bb, E,  Eb, G,  B,  Db, Gb, D,  A,  C
F,  E,  G,  Db, D,  C,  Ab, Bb, Eb, B,  Gb, A
E,  Db, C,  Bb, B,  A,  F,  G,  D,  Ab, Eb, Gb
Db, Bb, A,  G,  Ab, Gb, E,  C,  B,  F,  D,  Eb
Bb, G,  Gb, C,  F,  Eb, Db, A,  Ab, E,  B,  D
G,  C,  Eb, A,  E,  D,  Bb, Gb, F,  Db, Ab, B
column intervals:9,9,9,11,9,9,9,11,9,9,9,5



5x/i/3/0:............Eb F# F  A  Bb Ab E  C  G  C# D  B  
3,11,4,1,10,8,8,7,6,1,9,4,3,11,4,1,10,8,8,7,6,1,9,4


 
5p/p/0/0:............C  B  F  F# E  A  G  Ab C# Bb D  Eb 
11,6,1,10,5,10,1,5,9,4,1,9,11,6,1,10,5,10,1,5,9,4,1,9 


C,  A,  D,  Gb, Db, B,  G,  Eb, E,  Bb, F,  Ab
Eb, C,  F,  A,  E,  D,  Bb, Gb, G,  Db, Ab, B
Bb, G,  C,  E,  B,  A,  F,  Db, D,  Ab, Eb, Gb
Gb, Eb, Ab, C,  G,  F,  Db, A,  Bb, E,  B,  D
B,  Ab, Db, F,  C,  Bb, Gb, D,  Eb, A,  E,  G
Db, Bb, Eb, G,  D,  C,  Ab, E,  F,  B,  Gb, A
F,  D,  G,  B,  Gb, E,  C,  Ab, A,  Eb, Bb, Db
A,  Gb, B,  Eb, Bb, Ab, E,  C,  Db, G,  D,  F
Ab, F,  Bb, D,  A,  G,  Eb, B,  C,  Gb, Db, E
D,  B,  E,  Ab, Eb, Db, A,  F,  Gb, C,  G,  Bb
G,  E,  A,  Db, Ab, Gb, D,  Bb, B,  F,  C,  Eb
E,  Db, Gb, Bb, F,  Eb, B,  G,  Ab, D,  A,  C


====================================================================================

(0 9 4 3 6 11 10 8 2 7 1 5) intervals:9,7,11,3,5,11,10,6,5,6,4,7 
                                                  Name: Compromising Adult    approved
C,A,E,Eb,Gb,B,Bb,Ab,D,G,Db,F  [3,4,5,6,7,9,10,11] = 8 intervals


C,* A,* E,* Eb, Gb, B,* Bb, Ab, D,* G,* Db, F  9,7,11,3,5,11,10,6,5,6,4,7
A,* Eb, B,* Ab, G,* F,* C,* E,* Gb, Bb, D,* Db 6,8,9,11,10,7,4,2,4,4,11,8
Eb, Ab, F,* E,* Bb, Db, A,* B,* G,* C,* Gb, D  5,2,11,6,3,8,2,8,5,6,8,1
Ab, E,* Db, B,* C,* D,* Eb, F,* Bb, A,* G,* Gb 8,9,10,1,2,1,2,5,11,10,11,2
E,* B,* D,* F,* A,* Gb, Ab, Db, C,* Eb, Bb, G* 7,3,3,4,9,2,5,11,3,7,9,9
B,* F,* Gb, Db, Eb, G,* E,* D,* A,* Ab, C,* Bb 6,1,7,2,4,9,10,7,11,4,10,1

F,  Db, G,  D,  Ab, Bb, B,  Gb, Eb, E,  A,  C
Db, D,  Bb, Gb, E,  C,  F,  G,  Ab, B,  Eb, A
D,  Gb, C,  G,  B,  A,  Db, Bb, E,  F,  Ab, Eb
Gb, G,  A,  Bb, F,  Eb, D,  C,  B,  Db, E,  Ab
G,  Bb, Eb, C,  Db, Ab, Gb, A,  F,  D,  B,  E
Bb, C,  Ab, A,  D,  E,  G,  Eb, Db, Gb, F,  B
column intervals:9,6,5,8,7,6,8,1,4,1,3,2


5x/i/3/0:............Eb F# G  C  A  Ab C# B  F  E  Bb D  
3,1,5,9,11,5,10,6,11,6,4,1,3,1,5,9,11,5,10,6,11,6,4,1 



5p/p/0/0:............C  B  C# Eb D  A  Bb F  F# G  E  Ab 
11,2,2,11,7,1,7,1,1,9,4,4,11,2,2,11,7,1,7,1,1,9,4,4,




 
C,  A,  E,  Eb, Gb, B,  Bb, Ab, D,  G,  Db, F      9,7,11,3,5,11,10,6,5,6,4,7
Eb, C,  G,  Gb, A,  D,  Db, B,  F,  Bb, E,  Ab
Ab, F,  C,  B,  D,  G,  Gb, E,  Bb, Eb, A,  Db
A,  Gb, Db, C,  Eb, Ab, G,  F,  B,  E,  Bb, D
Gb, Eb, Bb, A,  C,  F,  E,  D,  Ab, Db, G,  B
Db, Bb, F,  E,  G,  C,  B,  A,  Eb, Ab, D,  Gb
D,  B,  Gb, F,  Ab, Db, C,  Bb, E,  A,  Eb, G
E,  Db, Ab, G,  Bb, Eb, D,  C,  Gb, B,  F,  A
Bb, G,  D,  Db, E,  A,  Ab, Gb, C,  F,  B,  Eb
F,  D,  A,  Ab, B,  E,  Eb, Db, G,  C,  Gb, Bb
B,  Ab, Eb, D,  F,  Bb, A,  G,  Db, Gb, C,  E
G,  E,  B,  Bb, Db, Gb, F,  Eb, A,  D,  Ab, C



====================================================================================

(0 10 2 3 6 7 4 1 9 11 5 8) intervals:10,4,1,3,1,9,9,8,2,6,3,4   
                                                      Name:  First Example       approved
C,Bb,D,Eb,Gb,G,E,Db,A,B,F,Ab [1,2,3,4,6,8,9,10] = 8 intervals

C,* Bb, D,* Eb, Gb, G,* E,* Db, A,* B,* F,* Ab 10,4,1,3,1,9,9,8,2,6,3,4
Bb, Eb, G,* Db, B,* Ab, C,* D,* Gb, E,* A,* F  5,4,6,10,9,4,2,4,10,5,8,5
Eb, Db, Ab, D,* E,* F,* Bb, G,* B,* C,* Gb, A  10,7,6,2,1,5,9,4,1,6,3,6
Db, D,* F,* G,* C,* A,* Eb, Ab, E,* Bb, B,* Gb 1,3,2,5,9,6,5,8,6,1,7,7
D,* G,* A,* Ab, Bb, Gb, Db, F,* C,* Eb, E,* B  5,2,11,2,8,7,4,7,3,1,7,3
G,* Ab, Gb, F,* Eb, B,* D,* A,* Bb, Db, C,* E  1,10,11,10,8,3,7,1,3,11,4,3




Ab, F,  B,  A,  Db, E,  G,  Gb, Eb, D,  Bb, C
F,  A,  E,  Gb, D,  C,  Ab, B,  Db, G,  Eb, Bb
A,  Gb, C,  B,  G,  Bb, F,  E,  D,  Ab, Db, Eb
Gb, B,  Bb, E,  Ab, Eb, A,  C,  G,  F,  D,  Db
B,  E,  Eb, C,  F,  Db, Gb, Bb, Ab, A,  G,  D
E,  C,  Db, Bb, A,  D,  B,  Eb, F,  Gb, Ab, G
column intervals:10,5,10,1,5,1,9,4,9,5,5,8



5x/i/3/0:............Eb C# F  C  A  E  G  Bb F# Ab D  B  
10,4,7,9,7,3,3,8,2,6,9,4,10,4,7,9,7,3,3,8,2,6,9,4  



5p/p/0/0:............C  G  F  Eb A  Bb E  Ab F# B  D  C# 
7,10,10,6,1,6,4,10,5,3,11,11,7,10,10,6,1,6,4,10,5,3,11,11,



post #1 of Twelve Tone Rows with Dual Properties
http://www.internationalskeptics.com/forums/showthread.php?postid=12131813#post12131813



standard inversion square

C,  Bb, D,  Eb, Gb, G,  E,  Db, A,  B,  F,  Ab
D,  C,  E,  F,  Ab, A,  Gb, Eb, B,  Db, G,  Bb
Bb, Ab, C,  Db, E,  F,  D,  B,  G,  A,  Eb, Gb
A,  G,  B,  C,  Eb, E,  Db, Bb, Gb, Ab, D,  F
Gb, E,  Ab, A,  C,  Db, Bb, G,  Eb, F,  B,  D
F,  Eb, G,  Ab, B,  C,  A,  Gb, D,  E,  Bb, Db
Ab, Gb, Bb, B,  D,  Eb, C,  A,  F,  G,  Db, E
B,  A,  Db, D,  F,  Gb, Eb, C,  Ab, Bb, E,  G
Eb, Db, F,  Gb, A,  Bb, G,  E,  C,  D,  Ab, B
Db, B,  Eb, E,  G,  Ab, F,  D,  Bb, C,  Gb, A
G,  F,  A,  Bb, Db, D,  B,  Ab, E,  Gb, C,  Eb
E,  D,  Gb, G,  Bb, B,  Ab, F,  Db, Eb, A,  C



 





====================================================================================
(0 10 2 7 11 9 4 3 1 8 5 6)
                                                name:  Loose Girlfriend             approved
G,F,A,D,F#,E,B,Bb,Ab,Eb,C,Db


G,  F,  A,  D,  F#, E,  B,  Bb, Ab, Eb, C,  Db  10,4,5,4,10,7,11,10,7,9,1,6
F,  D,  E,  Bb, Eb, Db, G,  A,  F#, B,  Ab, C   9,2,6,5,10,6,2,9,5,9,4,5
D,  Bb, Db, A,  B,  C,  F,  E,  Eb, G,  F#, Ab  8,3,8,2,1,5,11,11,4,11,2,6
Bb, A,  C,  E,  G,  Ab, D,  Db, B,  F,  Eb, F#  11,3,4,3,1,6,11,10,6,10,3,4
A,  E,  Ab, Db, F,  F#, Bb, C,  G,  D,  B,  Eb  7,4,5,4,1,4,2,7,7,9,4,6
E,  Db, F#, C,  D,  Eb, A,  Ab, F,  Bb, G,  B   9,5,6,2,1,6,11,9,5,9,4,5

Db, C,  Eb, Ab, Bb, B,  E,  F#, D,  A,  F,  G
C,  Ab, B,  F#, A,  G,  Db, Eb, Bb, E,  D,  F
Ab, F#, G,  Eb, E,  F,  C,  B,  A,  Db, Bb, D
F#, Eb, F,  B,  Db, D,  Ab, G,  E,  C,  A,  Bb
Eb, B,  D,  G,  C,  Bb, F#, F,  Db, Ab, E,  A
B,  G,  Bb, F,  Ab, A,  Eb, D,  C,  F#, Db, E
column intervals:10,9,8,11,7,9,11,8,10,9,8,8




5x/i/5/0:............E  D  F# F  A  G  Ab C# B  C  Eb Bb 
10,4,11,4,10,1,5,10,1,3,7,6,10,4,11,4,10,1,5,10,1,3,7,6 



5p/p/0/0:............G  E  C  D  Ab F  B  C# F# Eb A  Bb 
9,8,2,6,9,6,2,5,9,6,1,9,9,8,2,6,9,6,2,5,9,6,1,9 






G,  F,  A,  D,  F#, E,  B,  Bb, Ab, Eb, C,  Db
A,  G,  B,  E,  Ab, F#, Db, C,  Bb, F,  D,  Eb
F,  Eb, G,  C,  E,  D,  A,  Ab, F#, Db, Bb, B
C,  Bb, D,  G,  B,  A,  E,  Eb, Db, Ab, F,  F#
Ab, F#, Bb, Eb, G,  F,  C,  B,  A,  E,  Db, D
Bb, Ab, C,  F,  A,  G,  D,  Db, B,  F#, Eb, E
Eb, Db, F,  Bb, D,  C,  G,  F#, E,  B,  Ab, A
E,  D,  F#, B,  Eb, Db, Ab, G,  F,  C,  A,  Bb
F#, E,  Ab, Db, F,  Eb, Bb, A,  G,  D,  B,  C
B,  A,  Db, F#, Bb, Ab, Eb, D,  C,  G,  E,  F
D,  C,  E,  A,  Db, B,  F#, F,  Eb, Bb, G,  Ab
Db, B,  Eb, Ab, C,  Bb, F,  E,  D,  A,  F#, G









====================================================================================


(0 10 4 8 7 3 1 6 11 5 9 2)         intervals:10,6,4,11,8,10,5,5,6,4,5,10
C,Bb,E,Ab,G,Eb,Db,Gb,B,F,A,D                            Name: Nigel's Amp        approved

C,* Bb, E,* Ab, G,* Eb, Db, Gb, B,* F,* A,* D 10,6,4,11,8,10,5,5,6,4,5,10
Bb, Ab, Eb, Gb, F,* D,* C,* E,* G,* Db, B,* A 10,5,3,11,9,10,4,3,6,10,10,1
Ab, Gb, D,* E,* Db, A,* Bb, Eb, F,* C,* G,* B 10,8,2,9,8,1,5,2,7,7,4,9
Gb, E,* A,* Eb, C,* B,* Ab, D,* Db, Bb, F,* G 10,5,6,9,11,9,6,11,9,7,1
E,* Eb, B,* D,* Bb, G,* Gb, A,* C,* Ab, Db, F 11,8,3,8,9,11,3,3,8,5,3
Eb, D,* G,* A,* Ab, F,* E,* B,* Bb, Gb, C,* Db 11,5,2,11,9,11,7,11,8,6,3

D,  A,  F,  B,  Gb, Db, Eb, G,  Ab, E,  Bb, C
A,  B,  Db, G,  E,  C,  D,  F,  Gb, Eb, Ab, Bb
B,  G,  C,  F,  Eb, Bb, A,  Db, E,  D,  Gb, Ab
G,  F,  Bb, Db, D,  Ab, B,  C,  Eb, A,  E,  Gb
F,  Db, Ab, C,  A,  Gb, G,  Bb, D,  B,  Eb, E
Db, C,  Gb, Bb, B,  E,  F,  Ab, A,  G,  D,  Eb
column intervals:10,10,10,10,11,11,7,2,8,10,8,11




10,6,4,5,8,10,11,11,6,4,11,10,10,6,4,5,8,10,11,11,6,4,11,10
5x/i/3/0:............Eb C# G  B  E  C  Bb A  Ab D  F# F  
 


3,6,11,3,11,3,1,5,10,11,2,6,3,6,11,3,11,3,1,5,10,11,2,6
5p/p/0/0:............C  Eb A  Ab B  Bb C# D  G  F  E  F# 




C,  Bb, E,  Ab, G,  Eb, Db, Gb, B,  F,  A,  D
D,  C,  Gb, Bb, A,  F,  Eb, Ab, Db, G,  B,  E
Ab, Gb, C,  E,  Eb, B,  A,  D,  G,  Db, F,  Bb
E,  D,  Ab, C,  B,  G,  F,  Bb, Eb, A,  Db, Gb
F,  Eb, A,  Db, C,  Ab, Gb, B,  E,  Bb, D,  G
A,  G,  Db, F,  E,  C,  Bb, Eb, Ab, D,  Gb, B
B,  A,  Eb, G,  Gb, D,  C,  F,  Bb, E,  Ab, Db
Gb, E,  Bb, D,  Db, A,  G,  C,  F,  B,  Eb, Ab
Db, B,  F,  A,  Ab, E,  D,  G,  C,  Gb, Bb, Eb
G,  F,  B,  Eb, D,  Bb, Ab, Db, Gb, C,  E,  A
Eb, Db, G,  B,  Bb, Gb, E,  A,  D,  Ab, C,  F
Bb, Ab, D,  Gb, F,  Db, B,  E,  A,  Eb, G,  C



















====================================================================================


====================================================================================
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Old 11th February 2018, 05:58 AM   #130
calebprime
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Join Date: Jul 2006
Posts: 11,937
It's a lot more work than I realized just copying and pasting a list of around a thousand items. Maybe another 4-5 hours to go.

The good news is that I've already tested the beginnings of the list, and this seems like complete success. It seems like the vast majority of the series on this list have very fine dual properties. This is wildly exceeding expectations.
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Old 11th February 2018, 08:32 AM   #131
calebprime
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Join Date: Jul 2006
Posts: 11,937
Here's list-in-progress.

The actual output file should only have the series on the right, not the inputs.


Code:
0 1 3 4 6 7 9 10 11 2 5 8  0 1 6 3 2 7 8 4 11 5 10 9
0 1 3 4 6 7 9 11 2 5 8 10  0 1 6 3 5 7 10 4 2 8 11 9
0 1 3 4 6 7 10 11 2 5 8 9  0 1 6 3 5 7 9 4 2 8 11 10
0 1 3 4 6 8 9 10 11 2 5 7  0 1 6 3 2 8 7 4 11 5 10 9
0 1 3 4 6 8 9 11 2 5 7 10  0 1 6 3 5 8 10 4 2 7 11 9
0 1 3 4 6 8 10 11 2 5 7 9  0 1 6 3 5 8 9 4 2 7 11 10
0 1 3 4 6 8 11 2 5 7 9 10  0 1 6 3 7 8 10 4 5 9 2 11
0 1 3 4 6 9 10 11 2 5 7 8  0 1 6 3 5 9 8 4 2 7 11 10
0 1 3 4 6 9 11 2 5 7 8 10  0 1 6 3 7 9 10 4 5 8 2 11
0 1 3 4 7 8 9 10 11 2 5 6  0 1 7 3 2 8 6 4 11 5 10 9
0 1 3 4 7 8 10 11 2 5 6 9  0 1 7 3 5 8 9 4 2 6 11 10
0 1 3 4 7 8 11 2 5 6 9 10  0 1 7 3 6 8 10 4 5 9 2 11
0 1 3 4 7 9 10 11 2 5 6 8  0 1 7 3 5 9 8 4 2 6 11 10
0 1 3 4 7 9 11 2 5 6 8 10  0 1 7 3 6 9 10 4 5 8 2 11
0 1 3 4 7 10 11 2 5 6 8 9  0 1 7 3 6 10 9 4 5 8 2 11
0 1 3 5 6 7 8 9 10 11 2 4  0 1 6 3 11 7 4 5 10 2 9 8
0 1 3 5 6 8 9 10 11 2 4 7  0 1 6 3 2 8 7 5 11 4 10 9
0 1 3 5 6 8 9 11 2 4 7 10  0 1 6 3 4 8 10 5 2 7 11 9
0 1 3 5 6 8 10 11 2 4 7 9  0 1 6 3 4 8 9 5 2 7 11 10
0 1 3 5 6 8 11 2 4 7 9 10  0 1 6 3 7 8 10 5 4 9 2 11
0 1 3 5 6 9 10 11 2 4 7 8  0 1 6 3 4 9 8 5 2 7 11 10
0 1 3 5 6 9 11 2 4 7 8 10  0 1 6 3 7 9 10 5 4 8 2 11
0 1 3 5 7 8 9 10 11 2 4 6  0 1 7 3 2 8 6 5 11 4 10 9
0 1 3 5 7 8 10 11 2 4 6 9  0 1 7 3 4 8 9 5 2 6 11 10
0 1 3 5 7 8 11 2 4 6 9 10  0 1 7 3 6 8 10 5 4 9 2 11
0 1 3 5 7 9 10 11 2 4 6 8  0 1 7 3 4 9 8 5 2 6 11 10
0 1 3 5 7 9 11 2 4 6 8 10  0 1 7 3 6 9 10 5 4 8 2 11
0 1 3 5 7 10 11 2 4 6 8 9  0 1 7 3 6 10 9 5 4 8 2 11
0 1 3 5 8 9 10 11 2 4 6 7  0 1 8 3 4 9 7 5 2 6 11 10
0 1 3 5 8 9 11 2 4 6 7 10  0 1 8 3 6 9 10 5 4 7 2 11
0 1 3 5 8 10 11 2 4 6 7 9  0 1 8 3 6 10 9 5 4 7 2 11
0 1 3 5 8 11 2 4 6 7 9 10  0 1 8 3 7 11 10 5 6 9 4 2
0 1 3 6 7 8 9 10 11 2 4 5  0 1 7 3 2 8 5 6 11 4 10 9
0 1 3 6 7 9 10 11 2 4 5 8  0 1 7 3 4 9 8 6 2 5 11 10
0 1 3 6 7 9 11 2 4 5 8 10  0 1 7 3 5 9 10 6 4 8 2 11
0 1 3 6 7 10 11 2 4 5 8 9  0 1 7 3 5 10 9 6 4 8 2 11
0 1 3 6 8 9 10 11 2 4 5 7  0 1 8 3 4 9 7 6 2 5 11 10
0 1 3 6 8 9 11 2 4 5 7 10  0 1 8 3 5 9 10 6 4 7 2 11
0 1 3 6 8 10 11 2 4 5 7 9  0 1 8 3 5 10 9 6 4 7 2 11
0 1 3 6 8 11 2 4 5 7 9 10  0 1 8 3 7 11 10 6 5 9 4 2
0 1 3 6 9 10 11 2 4 5 7 8  0 1 9 3 5 10 8 6 4 7 2 11
0 1 3 6 9 11 2 4 5 7 8 10  0 1 9 3 7 11 10 6 5 8 4 2
0 1 4 5 6 7 8 9 10 11 2 3  0 1 6 4 11 7 3 5 10 2 9 8
0 1 4 5 7 8 9 10 11 2 3 6  0 1 7 4 2 8 6 5 11 3 10 9
0 1 4 5 7 8 10 11 2 3 6 9  0 1 7 4 3 8 9 5 2 6 11 10
0 1 4 5 7 8 11 2 3 6 9 10  0 1 7 4 6 8 10 5 3 9 2 11
0 1 4 5 7 9 10 11 2 3 6 8  0 1 7 4 3 9 8 5 2 6 11 10
0 1 4 5 7 9 11 2 3 6 8 10  0 1 7 4 6 9 10 5 3 8 2 11
0 1 4 5 7 10 11 2 3 6 8 9  0 1 7 4 6 10 9 5 3 8 2 11
0 1 4 5 8 9 10 11 2 3 6 7  0 1 8 4 3 9 7 5 2 6 11 10
0 1 4 5 8 9 11 2 3 6 7 10  0 1 8 4 6 9 10 5 3 7 2 11
0 1 4 5 8 10 11 2 3 6 7 9  0 1 8 4 6 10 9 5 3 7 2 11
0 1 4 5 8 11 2 3 6 7 9 10  0 1 8 4 7 11 10 5 6 9 3 2
0 1 4 6 7 8 9 10 11 2 3 5  0 1 7 4 2 8 5 6 11 3 10 9
0 1 4 6 7 9 10 11 2 3 5 8  0 1 7 4 3 9 8 6 2 5 11 10
0 1 4 6 7 9 11 2 3 5 8 10  0 1 7 4 5 9 10 6 3 8 2 11
0 1 4 6 7 10 11 2 3 5 8 9  0 1 7 4 5 10 9 6 3 8 2 11
0 1 4 6 8 9 10 11 2 3 5 7  0 1 8 4 3 9 7 6 2 5 11 10
0 1 4 6 8 9 11 2 3 5 7 10  0 1 8 4 5 9 10 6 3 7 2 11
0 1 4 6 8 10 11 2 3 5 7 9  0 1 8 4 5 10 9 6 3 7 2 11
0 1 4 6 8 11 2 3 5 7 9 10  0 1 8 4 7 11 10 6 5 9 3 2
0 1 4 6 9 10 11 2 3 5 7 8  0 1 9 4 5 10 8 6 3 7 2 11
0 1 4 6 9 11 2 3 5 7 8 10  0 1 9 4 7 11 10 6 5 8 3 2
0 1 4 7 8 9 10 11 2 3 5 6  0 1 8 4 3 9 6 7 2 5 11 10
0 1 4 7 8 10 11 2 3 5 6 9  0 1 8 4 5 10 9 7 3 6 2 11
0 1 4 7 8 11 2 3 5 6 9 10  0 1 8 4 6 11 10 7 5 9 3 2
0 1 4 7 9 10 11 2 3 5 6 8  0 1 9 4 5 10 8 7 3 6 2 11
0 1 4 7 9 11 2 3 5 6 8 10  0 1 9 4 6 11 10 7 5 8 3 2
0 1 4 7 10 11 2 3 5 6 8 9  0 1 10 4 6 11 9 7 5 8 3 2
0 2 3 4 5 6 7 8 9 10 11 1  0 2 5 3 10 6 1 4 9 11 8 7
0 2 3 5 6 7 8 9 10 11 1 4  0 2 6 3 11 7 4 5 10 1 9 8
0 2 3 5 6 8 9 10 11 1 4 7  0 2 6 3 1 8 7 5 11 4 10 9
0 2 3 5 6 8 9 11 1 4 7 10  0 2 6 3 4 8 10 5 1 7 11 9
0 2 3 5 6 8 10 11 1 4 7 9  0 2 6 3 4 8 9 5 1 7 11 10
0 2 3 5 6 8 10 1 4 7 9 11  0 2 6 3 7 8 11 5 4 9 1 10
0 2 3 5 6 8 11 1 4 7 9 10  0 2 6 3 7 8 10 5 4 9 1 11
0 2 3 5 6 9 10 11 1 4 7 8  0 2 6 3 4 9 8 5 1 7 11 10
0 2 3 5 6 9 10 1 4 7 8 11  0 2 6 3 7 9 11 5 4 8 1 10
0 2 3 5 6 9 11 1 4 7 8 10  0 2 6 3 7 9 10 5 4 8 1 11
0 2 3 5 7 8 9 10 11 1 4 6  0 2 7 3 1 8 6 5 11 4 10 9
0 2 3 5 7 8 10 11 1 4 6 9  0 2 7 3 4 8 9 5 1 6 11 10
0 2 3 5 7 8 10 1 4 6 9 11  0 2 7 3 6 8 11 5 4 9 1 10
0 2 3 5 7 8 11 1 4 6 9 10  0 2 7 3 6 8 10 5 4 9 1 11
0 2 3 5 7 9 10 11 1 4 6 8  0 2 7 3 4 9 8 5 1 6 11 10
0 2 3 5 7 9 10 1 4 6 8 11  0 2 7 3 6 9 11 5 4 8 1 10
0 2 3 5 7 9 11 1 4 6 8 10  0 2 7 3 6 9 10 5 4 8 1 11
0 2 3 5 7 10 11 1 4 6 8 9  0 2 7 3 6 10 9 5 4 8 1 11
0 2 3 5 7 10 1 4 6 8 9 11  0 2 7 3 8 10 11 5 6 9 4 1
0 2 3 5 8 9 10 11 1 4 6 7  0 2 8 3 4 9 7 5 1 6 11 10
0 2 3 5 8 9 11 1 4 6 7 10  0 2 8 3 6 9 10 5 4 7 1 11
0 2 3 5 8 10 11 1 4 6 7 9  0 2 8 3 6 10 9 5 4 7 1 11
0 2 3 5 8 10 1 4 6 7 9 11  0 2 8 3 7 10 11 5 6 9 4 1
0 2 3 5 8 11 1 4 6 7 9 10  0 2 8 3 7 11 10 5 6 9 4 1
0 2 3 6 7 8 9 10 11 1 4 5  0 2 7 3 1 8 5 6 11 4 10 9
0 2 3 6 7 9 10 11 1 4 5 8  0 2 7 3 4 9 8 6 1 5 11 10
0 2 3 6 7 9 10 1 4 5 8 11  0 2 7 3 5 9 11 6 4 8 1 10
0 2 3 6 7 9 11 1 4 5 8 10  0 2 7 3 5 9 10 6 4 8 1 11
0 2 3 6 7 10 11 1 4 5 8 9  0 2 7 3 5 10 9 6 4 8 1 11
0 2 3 6 7 10 1 4 5 8 9 11  0 2 7 3 8 10 11 6 5 9 4 1
0 2 3 6 8 9 10 11 1 4 5 7  0 2 8 3 4 9 7 6 1 5 11 10
0 2 3 6 8 9 11 1 4 5 7 10  0 2 8 3 5 9 10 6 4 7 1 11
0 2 3 6 8 10 11 1 4 5 7 9  0 2 8 3 5 10 9 6 4 7 1 11
0 2 3 6 8 10 1 4 5 7 9 11  0 2 8 3 7 10 11 6 5 9 4 1
0 2 3 6 8 11 1 4 5 7 9 10  0 2 8 3 7 11 10 6 5 9 4 1
0 2 3 6 9 10 11 1 4 5 7 8  0 2 9 3 5 10 8 6 4 7 1 11
0 2 3 6 9 10 1 4 5 7 8 11  0 2 9 3 7 10 11 6 5 8 4 1
0 2 3 6 9 11 1 4 5 7 8 10  0 2 9 3 7 11 10 6 5 8 4 1
0 2 4 5 6 7 8 9 10 11 1 3  0 2 6 4 11 7 3 5 10 1 9 8
0 2 4 5 7 8 9 10 11 1 3 6  0 2 7 4 1 8 6 5 11 3 10 9
0 2 4 5 7 8 10 11 1 3 6 9  0 2 7 4 3 8 9 5 1 6 11 10
0 2 4 5 7 8 10 1 3 6 9 11  0 2 7 4 6 8 11 5 3 9 1 10
0 2 4 5 7 8 11 1 3 6 9 10  0 2 7 4 6 8 10 5 3 9 1 11                                                    


0 2 4 5 7 9 10 11 1 3 6 8  0 2 7 4 3 9 8 5 1 6 11 10
0 2 4 5 7 9 10 1 3 6 8 11  0 2 7 4 6 9 11 5 3 8 1 10
0 2 4 5 7 9 11 1 3 6 8 10  0 2 7 4 6 9 10 5 3 8 1 11  
0 2 4 5 7 10 11 1 3 6 8 9  0 2 7 4 6 10 9 5 3 8 1 11  
0 2 4 5 7 10 1 3 6 8 9 11  0 2 7 4 8 10 11 5 6 9 3 1
0 2 4 5 8 9 10 11 1 3 6 7  0 2 8 4 3 9 7 5 1 6 11 10
0 2 4 5 8 9 11 1 3 6 7 10  0 2 8 4 6 9 10 5 3 7 1 11
0 2 4 5 8 10 11 1 3 6 7 9  0 2 8 4 6 10 9 5 3 7 1 11				
0 2 4 5 8 10 1 3 6 7 9 11  0 2 8 4 7 10 11 5 6 9 3 1				
0 2 4 5 8 11 1 3 6 7 9 10  0 2 8 4 7 11 10 5 6 9 3 1				
0 2 4 6 7 8 9 10 11 1 3 5  0 2 7 4 1 8 5 6 11 3 10 9				
0 2 4 6 7 9 10 11 1 3 5 8  0 2 7 4 3 9 8 6 1 5 11 10				
0 2 4 6 7 9 10 1 3 5 8 11  0 2 7 4 5 9 11 6 3 8 1 10				
0 2 4 6 7 9 11 1 3 5 8 10  0 2 7 4 5 9 10 6 3 8 1 11				
0 2 4 6 7 10 11 1 3 5 8 9  0 2 7 4 5 10 9 6 3 8 1 11				
0 2 4 6 7 10 1 3 5 8 9 11  0 2 7 4 8 10 11 6 5 9 3 1				
0 2 4 6 8 9 10 11 1 3 5 7  0 2 8 4 3 9 7 6 1 5 11 10				
0 2 4 6 8 9 11 1 3 5 7 10  0 2 8 4 5 9 10 6 3 7 1 11				
0 2 4 6 8 10 11 1 3 5 7 9  0 2 8 4 5 10 9 6 3 7 1 11				
0 2 4 6 8 10 1 3 5 7 9 11  0 2 8 4 7 10 11 6 5 9 3 1				
0 2 4 6 8 11 1 3 5 7 9 10  0 2 8 4 7 11 10 6 5 9 3 1				
0 2 4 6 9 10 11 1 3 5 7 8  0 2 9 4 5 10 8 6 3 7 1 11				
0 2 4 6 9 10 1 3 5 7 8 11  0 2 9 4 7 10 11 6 5 8 3 1				
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0 5 8 11 2 7 10 3 6 9 1 4
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0 5 8 11 3 7 10 1 4 9 2 6
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0 5 8 1 4 9 2 6 10 3 7 11
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0 5 9 1 4 7 10 3 8 11 2 6
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0 5 9 2 6 10 3 8 1 4 7 11
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0 5 9 2 7 10 1 4 8 11 3 6
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0 5 10 3 8 1 4 7 11 2 6 9
0 5 10 3 8 1 6 9 2 7 11 4
0 5 10 3 8 1 6 11 4 9 2 7   0 5 8 10 9 1 7 3 4 2 11 6				
 




0 4 8 1 5 9 2 6 10 3 7 11
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0 4 8 1 6 10 3 9 2 7 11 5
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0 4 8 2 7 1 6 11 5 10 3 9
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0 6 11 4 10 3 8 2 7 1 5 9
0 6 11 5 10 4 9 3 8 2 7 1


 
0 5 10 3 8 1 7 2 9 4 11 6  0 5 8 10 4 1 6 3 9 11 2 7				
0 5 10 3 8 2 7 1 6 11 4 9  0 5 8 10 11 2 9 3 6 4 1 7				
0 5 10 3 8 2 9 4 11 6 1 7
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0 7 2 9 4 10 3 8 1 6 11 5
0 7 2 9 4 10 5 11 6 1 8 3
0 7 2 9 4 11 5 10 3 8 1 6  0 7 4 2 8 11 6 9 3 1 10 5				
0 7 2 9 4 11 6 1 8 3 10 5  0 7 4 2 3 11 5 9 8 10 1 6
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Old 12th February 2018, 03:42 AM   #132
calebprime
moleman
 
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Join Date: Jul 2006
Posts: 11,937
At last, a basic list of 775 rows that probably have the properties.

Now the analysis of what's there.


0 1 5 3 10 6 2 4 9 11 8 7
0 1 6 3 11 7 5 4 10 2 9 8
0 1 6 3 2 7 8 4 11 5 10 9
0 1 6 3 5 7 10 4 2 8 11 9
0 1 6 3 5 7 9 4 2 8 11 10
0 1 6 3 2 8 7 4 11 5 10 9
0 1 6 3 5 8 10 4 2 7 11 9
0 1 6 3 5 8 9 4 2 7 11 10
0 1 6 3 7 9 10 4 5 8 2 11
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0 1 7 3 5 8 9 4 2 6 11 10
0 1 7 3 6 8 10 4 5 9 2 11
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0 3 1 5 6 4 10 9 2 8 11 7
0 3 10 6 11 1 5 8 9 2 7 4
0 3 10 6 2 1 9 8 11 5 7 4
0 3 10 6 11 1 4 8 9 2 7 5
0 3 10 6 2 1 7 8 11 4 9 5
0 3 10 6 11 2 5 8 9 1 7 4
0 3 10 6 1 2 9 8 11 5 7 4
0 3 10 6 11 2 4 8 9 1 7 5
0 3 10 6 1 2 7 8 11 4 9 5
0 3 10 6 4 2 11 8 1 7 9 5
0 3 11 6 2 1 9 8 10 5 7 4
0 3 11 6 1 2 9 8 10 5 7 4
0 3 11 6 4 2 10 8 1 7 9 5
0 3 11 6 2 1 8 9 10 5 7 4
0 3 11 6 2 1 7 9 10 5 8 4
0 3 11 6 2 1 8 9 10 4 7 5
0 3 11 6 2 1 7 9 10 4 8 5
0 3 11 6 1 2 8 9 10 5 7 4
0 3 11 6 1 2 7 9 10 5 8 4
0 3 11 6 1 2 8 9 10 4 7 5
0 3 11 6 1 2 7 9 10 4 8 5
0 3 1 6 5 4 11 9 2 8 10 7
0 3 1 6 5 4 10 9 2 8 11 7
0 3 1 6 5 4 11 9 2 7 10 8
0 3 1 6 5 4 10 9 2 7 11 8
0 3 1 6 4 5 11 9 2 8 10 7
0 3 1 6 4 5 10 9 2 8 11 7
0 3 1 6 4 5 11 9 2 7 10 8
0 3 1 6 4 5 10 9 2 7 11 8
0 3 1 6 2 4 8 10 11 5 9 7
0 3 1 6 5 4 9 10 2 7 11 8
0 3 1 6 2 5 8 10 11 4 9 7
0 3 1 6 4 5 9 10 2 7 11 8
0 3 2 6 1 4 8 10 11 5 9 7
0 3 2 6 5 4 11 10 1 8 9 7
0 3 2 6 5 4 9 10 1 7 11 8
0 3 2 6 1 5 8 10 11 4 9 7
0 3 2 6 4 5 11 10 1 8 9 7
0 3 2 6 4 5 9 10 1 7 11 8
0 3 11 7 10 1 5 9 8 2 6 4
0 3 11 7 2 1 8 9 10 5 6 4
0 3 11 7 2 1 6 9 10 4 8 5
0 3 11 7 10 2 5 9 8 1 6 4
0 3 11 7 1 2 8 9 10 5 6 4
0 3 11 7 1 2 6 9 10 4 8 5
0 3 1 7 5 4 11 9 2 8 10 6
0 3 1 7 4 5 10 9 2 6 11 8
0 3 1 7 2 4 9 10 11 5 8 6
0 3 1 7 2 4 8 10 11 5 9 6
0 3 1 7 4 5 9 10 2 6 11 8
0 3 1 7 4 5 8 10 2 6 11 9
0 3 2 7 1 4 9 10 11 5 8 6
0 3 2 7 1 4 8 10 11 5 9 6
0 3 2 7 5 4 11 10 1 8 9 6
0 3 2 7 4 5 9 10 1 6 11 8
0 3 2 7 4 5 8 10 1 6 11 9
0 3 1 7 2 4 9 11 10 5 8 6
0 3 2 7 6 5 11 10 4 8 1 9
0 3 1 7 4 5 9 11 2 6 10 8
0 3 2 7 1 4 9 11 10 5 8 6
0 3 2 7 5 4 10 11 1 8 9 6
0 3 2 7 4 5 9 11 1 6 10 8
0 3 2 7 6 5 10 11 4 8 1 9
0 4 10 6 9 1 2 8 7 11 5 3
0 4 10 6 11 1 5 8 9 2 7 3
0 4 10 6 2 1 9 8 11 5 7 3
0 4 10 6 11 2 3 8 9 1 7 5
0 4 10 6 1 2 7 8 11 3 9 5
0 4 10 6 3 2 11 8 1 7 9 5
0 4 11 6 2 1 9 8 10 5 7 3
0 4 11 6 3 2 10 8 1 7 9 5
0 4 11 6 5 3 1 8 2 9 10 7
0 4 11 6 2 1 8 9 10 5 7 3
0 4 11 6 1 2 7 9 10 3 8 5
0 4 1 6 5 3 11 9 2 8 10 7
0 4 1 6 5 3 10 9 2 8 11 7
0 4 1 6 7 5 2 9 3 10 11 8
0 4 1 6 2 3 8 10 11 5 9 7
0 4 2 6 3 5 9 10 1 7 11 8
0 4 2 6 7 5 1 10 3 9 11 8
0 4 11 7 10 1 6 9 8 2 5 3
0 4 11 7 10 1 5 9 8 2 6 3
0 4 11 7 2 1 8 9 10 5 6 3
0 4 11 7 1 2 6 9 10 3 8 5
0 4 11 7 1 2 5 9 10 3 8 6
0 4 11 7 3 2 8 9 1 5 10 6
0 4 1 7 2 3 10 9 11 6 8 5
0 4 1 7 5 3 11 9 2 8 10 6
0 4 1 7 6 5 2 9 3 10 11 8
0 4 1 7 2 3 9 10 11 6 8 5
0 4 1 7 2 3 8 10 11 6 9 5
0 4 1 7 2 3 9 10 11 5 8 6
0 4 1 7 2 3 8 10 11 5 9 6
0 4 2 7 3 5 9 10 1 6 11 8
0 4 2 7 6 5 1 10 3 9 11 8
0 4 2 7 3 5 8 10 1 6 11 9
0 4 2 7 6 5 11 10 3 8 1 9
0 4 2 7 3 6 9 10 1 5 11 8
0 4 2 7 5 6 1 10 3 9 11 8
0 4 2 7 3 6 8 10 1 5 11 9
0 4 2 7 5 6 11 10 3 8 1 9
0 4 2 7 8 6 3 10 5 11 1 9
0 4 1 7 2 3 9 11 10 6 8 5
0 4 1 7 2 3 9 11 10 5 8 6
0 4 2 7 3 5 9 11 1 6 10 8
0 4 2 7 6 5 10 11 3 8 1 9
0 4 2 7 3 6 9 11 1 5 10 8
0 4 2 7 5 6 10 11 3 8 1 9
0 4 3 7 6 5 1 11 2 9 10 8
0 4 3 7 5 6 1 11 2 9 10 8
0 4 3 7 8 6 2 11 5 10 1 9
0 4 1 8 11 3 6 10 9 2 7 5
0 4 1 8 2 3 9 10 11 6 7 5
0 4 1 8 2 3 7 10 11 5 9 6
0 4 2 8 1 5 6 10 11 3 9 7
0 4 2 8 3 5 9 10 1 6 11 7
0 4 2 8 6 5 1 10 3 9 11 7
0 4 2 8 3 6 7 10 1 5 11 9
0 4 2 8 5 6 11 10 3 7 1 9
0 4 2 8 7 6 3 10 5 11 1 9
0 4 1 8 2 3 9 11 10 6 7 5
0 4 1 8 5 3 9 11 2 7 10 6
0 4 2 8 3 5 10 11 1 6 9 7
0 4 2 8 3 5 9 11 1 6 10 7
0 4 2 8 5 6 10 11 3 7 1 9
0 4 2 8 5 6 9 11 3 7 1 10
0 4 3 8 6 5 1 11 2 9 10 7
0 4 3 8 7 6 2 11 5 10 1 9
0 4 3 8 7 6 1 11 5 9 2 10
0 4 3 8 9 7 5 11 6 1 2 10
0 3 1 6 5 4 11 9 2 8 10 7
0 3 1 6 7 5 2 9 4 10 11 8
0 3 1 6 11 5 8 9 7 4 2 10
0 3 2 6 7 5 1 9 4 10 11 8
0 3 2 6 8 7 4 9 5 11 1 10
0 3 2 6 1 7 10 9 8 5 4 11
0 3 1 6 9 5 7 10 4 2 11 8
0 3 1 6 11 5 8 10 7 4 2 9
0 3 2 6 1 7 9 10 8 5 4 11
0 3 2 6 1 7 8 10 9 5 4 11
0 3 4 6 2 8 10 11 9 7 5 1
0 3 4 6 1 9 8 11 10 5 7 2
0 3 1 7 9 5 6 10 4 2 11 8
0 3 1 7 11 5 8 10 6 4 2 9
0 3 1 7 8 6 4 10 5 11 2 9
0 3 1 7 2 6 8 10 9 5 4 11
0 3 2 7 9 5 6 10 4 1 11 8
0 3 2 7 11 5 9 10 6 4 1 8
0 3 2 7 11 5 8 10 6 4 1 9
0 3 2 7 8 6 4 10 5 11 1 9
0 3 2 7 1 6 9 10 8 5 4 11
0 3 2 7 1 6 8 10 9 5 4 11
0 3 4 7 2 8 10 11 9 6 5 1
0 3 4 7 2 8 9 11 10 6 5 1
0 3 4 7 2 8 10 11 9 5 6 1
0 3 4 7 2 8 9 11 10 5 6 1
0 3 4 7 2 9 8 11 10 5 6 1
0 3 4 7 1 9 10 11 8 6 5 2
0 3 4 7 1 9 8 11 10 5 6 2
0 3 4 8 9 7 6 11 5 2 1 10
0 3 4 8 9 7 5 11 6 2 1 10
0 3 4 8 9 7 6 11 5 1 2 10
0 3 4 8 9 7 5 11 6 1 2 10
0 3 5 8 4 9 10 1 11 7 6 2
0 3 6 8 2 11 9 1 10 5 7 4
0 4 1 7 6 5 2 10 3 9 11 8
0 4 1 7 11 5 8 10 6 3 2 9
0 4 1 7 8 6 3 10 5 11 2 9
0 4 2 7 6 5 1 10 3 9 11 8
0 4 2 7 11 5 8 10 6 3 1 9
0 4 2 7 8 6 3 10 5 11 1 9
0 4 2 7 1 6 9 10 8 5 3 11
0 4 3 7 8 6 2 10 5 11 1 9
0 4 3 7 9 8 6 10 5 1 2 11
0 4 3 7 9 8 5 10 6 1 2 11
0 4 3 7 2 8 11 10 9 6 5 1
0 4 3 7 2 8 9 10 11 5 6 1
0 4 2 7 10 5 8 11 6 3 1 9
0 4 2 7 1 5 9 11 8 6 3 10
0 4 2 7 10 6 8 11 5 3 1 9
0 4 2 7 1 6 9 11 8 5 3 10
0 4 3 7 2 8 10 11 9 6 5 1
0 4 3 7 2 8 9 11 10 6 5 1
0 4 3 7 2 8 10 11 9 5 6 1
0 4 3 7 2 8 9 11 10 5 6 1
0 4 2 8 10 5 7 11 6 3 1 9
0 4 2 8 10 6 7 11 5 3 1 9
0 4 2 8 9 7 5 11 6 1 3 10
0 4 3 8 10 6 7 11 5 2 1 9
0 4 3 8 10 6 5 11 7 1 2 9
0 4 3 8 9 6 7 11 5 2 1 10
0 4 3 8 9 7 6 11 5 2 1 10
0 4 3 8 9 7 5 11 6 2 1 10
0 4 3 8 9 7 6 11 5 1 2 10
0 4 3 8 9 7 5 11 6 1 2 10
0 4 5 8 3 9 11 1 10 7 6 2
0 4 5 8 3 9 10 1 11 7 6 2
0 4 5 8 3 9 11 1 10 6 7 2
0 4 5 8 3 9 10 1 11 6 7 2
0 4 5 8 3 10 9 1 11 6 7 2
0 4 5 8 2 10 11 1 9 7 6 3
0 4 5 8 2 10 9 1 11 6 7 3
0 4 6 8 3 9 11 1 10 7 5 2
0 4 6 8 2 10 9 1 11 5 7 3
0 4 6 8 2 11 9 1 10 5 7 3
0 4 5 9 10 8 7 1 6 3 2 11
0 4 5 9 10 8 6 1 7 3 2 11
0 4 5 9 10 8 7 1 6 2 3 11
0 4 5 9 10 8 6 1 7 2 3 11
0 4 6 9 11 10 7 1 8 3 5 2
0 4 6 9 2 10 8 1 11 5 7 3
0 4 6 9 2 11 8 1 10 5 7 3
0 4 5 9 10 8 6 2 7 1 3 11
0 4 5 9 3 8 11 2 10 7 6 1
0 4 5 9 3 8 10 2 11 7 6 1
0 4 6 9 11 10 7 2 8 3 5 1
0 4 6 9 1 11 8 2 10 5 7 3
0 4 7 9 11 10 6 2 8 3 5 1
0 4 7 9 1 11 8 2 10 5 6 3
0 5 2 8 7 6 3 11 4 10 1 9
0 5 2 8 9 7 4 11 6 1 3 10
0 5 3 8 7 6 2 11 4 10 1 9
0 5 3 8 10 6 4 11 7 1 2 9
0 5 3 8 9 6 7 11 4 2 1 10
0 5 3 8 9 7 6 11 4 2 1 10
0 5 3 8 9 7 4 11 6 1 2 10
0 5 4 8 3 9 11 1 10 7 6 2
0 5 4 8 3 9 10 1 11 7 6 2
0 5 4 8 3 9 11 1 10 6 7 2
0 5 4 8 3 9 10 1 11 6 7 2
0 5 6 8 4 10 2 1 11 9 7 3
0 5 6 8 7 11 3 1 2 10 9 4
0 5 4 9 11 7 8 1 6 3 2 10
0 5 4 9 11 7 6 1 8 2 3 10
0 5 4 9 10 7 8 1 6 3 2 11
0 5 4 9 10 8 7 1 6 3 2 11
0 5 4 9 10 8 6 1 7 3 2 11
0 5 4 9 10 8 7 1 6 2 3 11
0 5 4 9 10 8 6 1 7 2 3 11
0 5 6 9 11 10 8 2 7 3 4 1
0 5 6 9 11 10 7 2 8 3 4 1
0 5 6 9 4 10 1 2 11 8 7 3
0 5 6 9 4 10 11 2 1 7 8 3
0 5 6 9 1 11 8 2 10 4 7 3
0 5 6 9 4 11 10 2 1 7 8 3
0 5 6 9 3 11 1 2 10 8 7 4
0 5 7 9 11 10 6 2 8 3 4 1
0 5 7 9 4 10 1 2 11 8 6 3
0 5 7 9 6 10 4 2 1 11 8 3
0 5 7 9 1 11 8 2 10 4 6 3
0 5 7 9 6 11 3 2 1 10 8 4
0 5 4 10 9 8 7 1 6 2 3 11
0 5 6 10 11 9 8 2 7 3 4 1
0 5 6 10 11 9 7 2 8 3 4 1
0 5 7 10 1 11 8 2 9 4 6 3
0 5 6 10 11 9 7 3 8 2 4 1
0 5 6 10 4 9 1 3 11 8 7 2
0 5 7 10 1 11 8 3 9 4 6 2
0 5 7 10 6 11 2 3 1 9 8 4
0 5 8 10 1 11 7 3 9 4 6 2
0 5 8 10 2 1 9 3 11 6 7 4
0 5 8 10 7 1 4 3 2 11 9 6
0 5 8 10 9 1 7 3 4 2 11 6
0 5 9 8 2 1 6 10 4 11 3 7
0 4 5 8 3 9 11 1 10 7 6 2
0 4 6 8 5 10 3 1 11 9 7 2
0 4 6 8 5 10 2 1 11 9 7 3
0 4 6 8 7 10 5 1 2 11 9 3
0 4 6 8 9 11 7 1 3 2 10 5
0 4 7 8 6 11 3 1 2 10 9 5
0 4 7 8 9 11 6 1 3 2 10 5
0 4 6 8 5 10 1 2 11 9 7 3
0 4 6 8 7 10 5 2 1 11 9 3
0 4 6 8 9 11 7 2 3 1 10 5
0 4 7 8 6 11 3 2 1 10 9 5
0 4 7 8 9 11 6 2 3 1 10 5
0 4 7 8 10 1 9 2 5 3 11 6
0 4 6 9 7 10 5 1 2 11 8 3
0 4 6 9 8 11 7 1 3 2 10 5
0 4 7 9 8 11 6 1 3 2 10 5
0 4 6 9 7 10 5 2 1 11 8 3
0 4 6 9 8 11 7 2 3 1 10 5
0 4 7 9 8 11 6 2 3 1 10 5
0 4 7 9 10 1 8 2 5 3 11 6
0 4 8 9 7 1 5 2 3 11 10 6
0 4 8 9 10 1 7 2 5 3 11 6
0 4 7 9 8 11 6 3 2 1 10 5
0 4 7 9 10 1 8 3 5 2 11 6
0 4 8 9 7 1 5 3 2 11 10 6
0 4 8 9 10 1 7 3 5 2 11 6
0 4 8 9 10 1 6 3 5 2 11 7
0 4 8 9 11 2 10 3 6 5 1 7
0 4 6 10 8 11 7 2 3 1 9 5
0 4 7 10 8 11 6 2 3 1 9 5
0 4 7 10 9 1 8 2 5 3 11 6
0 4 8 10 9 1 7 2 5 3 11 6
0 4 7 10 8 11 6 3 2 1 9 5
0 4 7 10 9 1 8 3 5 2 11 6
0 4 8 10 9 1 7 3 5 2 11 6
0 4 8 10 9 1 6 3 5 2 11 7
0 4 8 10 9 2 7 3 5 1 11 6
0 4 8 10 9 2 6 3 5 1 11 7
0 4 8 10 11 2 9 3 6 5 1 7
0 5 6 9 4 10 2 1 11 8 7 3
0 5 6 9 7 10 4 1 2 11 8 3
0 5 6 9 7 10 3 1 2 11 8 4
0 5 6 9 8 11 7 1 3 2 10 4
0 5 7 9 6 11 4 1 2 10 8 3
0 5 7 9 6 11 3 1 2 10 8 4
0 5 7 9 8 11 6 1 3 2 10 4
0 5 6 9 4 10 1 2 11 8 7 3
0 5 6 9 7 10 4 2 1 11 8 3
0 5 6 9 7 10 3 2 1 11 8 4
0 5 6 9 8 11 7 2 3 1 10 4
0 5 7 9 6 11 4 2 1 10 8 3
0 5 7 9 6 11 3 2 1 10 8 4
0 5 7 9 8 11 6 2 3 1 10 4
0 5 7 9 10 1 8 2 4 3 11 6
0 5 8 9 7 1 4 2 3 11 10 6
0 5 8 9 10 1 7 2 4 3 11 6
0 5 7 9 6 11 2 3 1 10 8 4
0 5 7 9 8 11 6 3 2 1 10 4
0 5 7 9 10 1 8 3 4 2 11 6
0 5 8 9 7 1 4 3 2 11 10 6
0 5 8 9 10 1 7 3 4 2 11 6
0 5 8 9 10 1 6 3 4 2 11 7
0 5 8 9 11 2 10 3 6 4 1 7
0 5 6 10 8 11 7 2 3 1 9 4
0 5 7 10 8 11 6 2 3 1 9 4
0 5 7 10 9 1 8 2 4 3 11 6
0 5 8 10 9 1 7 2 4 3 11 6
0 5 7 10 8 11 6 3 2 1 9 4
0 5 7 10 9 1 8 3 4 2 11 6
0 5 8 10 9 1 7 3 4 2 11 6
0 5 8 10 9 1 6 3 4 2 11 7
0 5 8 10 9 2 7 3 4 1 11 6
0 5 8 10 9 2 6 3 4 1 11 7
0 5 8 10 11 2 9 3 6 4 1 7
0 5 9 10 8 1 7 3 4 2 11 6
0 5 9 10 8 1 6 3 4 2 11 7
0 5 9 10 8 2 7 3 4 1 11 6
0 5 9 10 8 2 6 3 4 1 11 7
0 5 9 10 11 2 8 3 6 4 1 7
0 5 8 10 9 1 7 4 3 2 11 6
0 5 8 10 9 1 6 4 3 2 11 7
0 5 8 10 9 2 7 4 3 1 11 6
0 5 8 10 9 2 6 4 3 1 11 7
0 5 8 10 11 2 9 4 6 3 1 7
0 5 9 10 8 1 7 4 3 2 11 6
0 5 9 10 8 1 6 4 3 2 11 7
0 5 9 10 8 2 7 4 3 1 11 6
0 5 9 10 8 2 6 4 3 1 11 7
0 5 9 10 11 2 8 4 6 3 1 7
0 5 9 10 11 2 7 4 6 3 1 8
0 5 9 10 1 3 11 4 7 6 2 8
0 5 7 11 9 1 8 3 4 2 10 6
0 5 8 11 9 1 7 3 4 2 10 6
0 5 8 11 9 2 7 3 4 1 10 6
0 5 8 11 10 2 9 3 6 4 1 7
0 5 9 11 8 1 7 3 4 2 10 6
0 5 9 11 8 2 7 3 4 1 10 6
0 5 9 11 10 2 8 3 6 4 1 7
0 5 8 11 9 1 7 4 3 2 10 6
0 5 8 11 9 2 7 4 3 1 10 6
0 5 8 11 10 2 9 4 6 3 1 7
0 5 9 11 8 1 7 4 3 2 10 6
0 5 9 11 8 2 7 4 3 1 10 6
0 5 9 11 10 2 8 4 6 3 1 7
0 5 9 11 10 2 7 4 6 3 1 8
0 5 9 11 10 3 8 4 6 2 1 7
0 5 9 11 10 3 7 4 6 2 1 8
0 5 9 11 1 3 10 4 7 6 2 8
0 6 7 10 5 11 3 2 1 9 8 4
0 6 7 10 8 11 5 2 3 1 9 4
0 6 7 10 9 1 8 2 4 3 11 5
0 6 8 10 7 1 4 2 3 11 9 5
0 6 8 10 9 1 7 2 4 3 11 5
0 6 7 10 5 11 2 3 1 9 8 4
0 6 7 10 8 11 5 3 2 1 9 4
0 6 7 10 9 1 8 3 4 2 11 5
0 6 8 10 7 1 4 3 2 11 9 5
0 6 8 10 9 1 7 3 4 2 11 5
0 6 8 10 9 2 5 3 4 1 11 7
0 6 8 10 11 2 9 3 5 4 1 7
0 6 9 10 8 1 7 3 4 2 11 5
0 6 9 10 8 2 5 3 4 1 11 7
0 6 9 10 11 2 8 3 5 4 1 7
0 6 8 10 7 1 3 4 2 11 9 5
0 6 8 10 9 1 7 4 3 2 11 5
0 6 8 10 9 2 5 4 3 1 11 7
0 6 8 10 11 2 9 4 5 3 1 7
0 6 9 10 8 1 7 4 3 2 11 5
0 6 9 10 8 2 5 4 3 1 11 7
0 6 9 10 11 2 8 4 5 3 1 7
0 6 9 10 11 2 7 4 5 3 1 8
0 6 9 10 1 3 11 4 7 5 2 8
0 6 7 11 9 1 8 3 4 2 10 5
0 6 8 11 9 1 7 3 4 2 10 5
0 6 8 11 10 2 9 3 5 4 1 7
0 6 9 11 8 1 7 3 4 2 10 5
0 6 9 11 10 2 8 3 5 4 1 7
0 6 8 11 9 1 7 4 3 2 10 5
0 6 8 11 10 2 9 4 5 3 1 7
0 6 9 11 8 1 7 4 3 2 10 5
0 6 9 11 10 2 8 4 5 3 1 7
0 6 9 11 10 2 7 4 5 3 1 8
0 6 9 11 10 3 8 4 5 2 1 7
0 6 9 11 10 3 7 4 5 2 1 8
0 6 9 11 1 3 10 4 7 5 2 8
0 6 10 11 9 2 8 4 5 3 1 7
0 6 10 11 9 2 7 4 5 3 1 8
0 6 10 11 9 3 8 4 5 2 1 7
0 6 10 11 9 3 7 4 5 2 1 8
0 6 10 11 1 3 9 4 7 5 2 8
0 6 10 11 2 4 1 5 8 7 3 9
0 5 8 10 4 1 6 3 9 11 2 7
0 5 8 10 11 2 9 3 6 4 1 7
0 5 8 10 6 2 7 3 11 1 4 9
0 5 9 10 7 4 8 3 1 2 6 11
0 5 9 10 8 4 7 3 1 2 6 11
0 5 9 10 1 3 11 4 7 6 2 8
0 5 11 10 8 6 9 4 2 3 7 1
0 5 11 10 9 6 8 4 2 3 7 1
0 5 11 10 9 6 7 4 3 2 8 1
0 5 1 11 9 7 10 6 3 4 8 2
0 5 1 11 10 7 9 6 3 4 8 2
0 5 1 11 10 7 8 6 4 3 9 2
0 5 1 11 9 8 7 6 4 2 10 3
0 6 9 11 3 2 5 4 8 10 1 7
0 6 10 11 2 3 4 5 7 9 1 8
0 6 10 11 1 4 3 5 7 8 2 9
0 6 10 11 1 4 2 5 8 7 3 9
0 6 10 11 2 4 1 5 8 7 3 9
0 6 2 1 10 8 11 7 4 5 9 3
0 6 2 1 11 8 10 7 4 5 9 3
0 6 2 1 11 8 9 7 5 4 10 3
0 6 2 1 10 9 8 7 5 3 11 4
0 6 3 1 9 10 7 8 4 2 11 5
0 7 11 1 3 4 5 6 8 10 2 9
0 7 11 1 2 5 4 6 8 9 3 10
0 7 11 1 2 5 3 6 9 8 4 10
0 7 11 1 3 5 2 6 9 8 4 10
0 7 1 2 3 6 5 8 9 10 4 11
0 7 1 2 3 6 4 8 10 9 5 11
0 7 1 2 4 6 3 8 10 9 5 11
0 7 3 2 11 9 1 8 5 6 10 4
0 7 3 2 4 8 5 9 11 10 6 1
0 7 3 2 5 8 4 9 11 10 6 1
0 7 4 2 6 10 5 9 1 11 8 3
0 7 4 2 1 10 3 9 6 8 11 5
0 7 4 2 8 11 6 9 3 1 10 5
0 7 4 2 3 11 5 9 8 10 1 6














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Old 12th February 2018, 04:08 AM   #133
calebprime
moleman
 
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Join Date: Jul 2006
Posts: 11,937
With filtering, when the new series are thrown in with the approved series, there appear to be around 32 distinct series.

Filtering: exclude (3 0 1 2) ( 4 0 3 6 9) no 012 per 3 notes, no 0369 per 4.

There are around 55 without that filtering.



Code:
                                        modulus: 12
         wolf intervals (between any two notes): ()
                     display multiple spellings: #f
    acceptable error when naming scales (cents): 0
                                     sort order: (packing)
             abbreviated multiple-column output: #t
                                  output format: numbers
                       number of output columns: 3
                                     row length: 12
                                      bad cells: ((3 0 1 2) (4 0 3 6 9))
                    maximum number of bad cells: 0
                                     good cells: ()
                   minimum number of good cells: 0
      bad intervals (between consecutive notes): ()
                maximum number of bad intervals: 0
     good intervals (between consecutive notes): ()
               minimum number of good intervals: 0
          minimum number of different intervals: 3
   maximum number of same consecutive intervals: 2
             self-equivalence filter - standard: #t
                   self-equivalence filter - 5m: #f
              self-equivalence filter tolerance: 0
                         remove near-duplicates: #t
                       near-duplicate tolerance: 2
         wrap when counting cells and intervals: #t
      virtual row length, for computing spacing: 12
                                   motif length: 12
     look for standard transformations of motif: #t
           look for 5m transformations of motif: #f
                                minimum spacing: 2
                                maximum spacing: 6
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 1
                     minimum number of 1-spaces: 0
                     maximum number of 1-spaces: 3
  minimum number of occurrences of motif in row: 1
                    wrap when computing spacing: #t
              maximum number of rows to display: 2000
               file of results to search within: /Users/calebmorgan/Desktop/huge

finding rows....done

number of rows found: 42

removing near-duplicates...done

number of rows remaining: 32

(0 1 7 2 4 8 6 3 11 5 10 9)  (0 1 7 4 2 8 6 5 11 3 10 9)  (0 2 7 3 6 8 11 5 4 9 1 10)  

(0 2 9 4 10 11 5 7 8 1 6 3)  (0 3 2 7 11 5 8 10 6 4 1 9)  (0 3 4 6 11 7 9 1 8 2 5 10)  

(0 3 8 4 7 9 1 6 5 10 2 11)  (0 3 10 7 8 1 4 2 6 11 9 5)  (0 3 11 5 9 2 1 8 7 10 6 4)  

(0 4 1 7 11 5 8 10 6 3 2 9)  (0 4 2 7 1 5 9 11 8 6 3 10)  (0 4 5 8 3 9 11 1 10 7 6 2)  

(0 4 6 8 5 10 1 2 11 9 7 3)  (0 4 7 8 1 11 9 3 10 5 6 2)  (0 4 8 10 11 2 9 3 6 5 1 7)  

(0 4 10 6 1 2 7 8 11 3 9 5)  (0 4 10 6 11 1 5 8 9 2 7 3)  (0 4 11 7 1 2 5 9 10 3 8 6)  

(0 5 4 10 1 9 7 3 8 6 11 2)  (0 5 6 9 4 10 1 2 11 8 7 3)  (0 5 8 10 4 1 11 3 7 9 2 6)  

(0 5 8 10 11 2 9 4 6 3 1 7)  (0 5 11 10 8 4 6 3 7 1 2 9)  (0 7 3 2 5 10 6 9 1 8 11 4)  

(0 8 2 3 5 10 7 11 6 1 4 9)  (0 8 5 3 6 1 7 11 10 2 4 9)  (0 8 7 4 9 5 3 10 11 1 2 6)  

mof3                         (0 9 2 6 1 11 7 3 4 10 5 8)  (0 9 4 3 6 11 10 8 2 7 1 5)  
(0 9 2 5 4 11 8 1 7 3 6 10)                                                            

(0 10 2 7 11 9 4 3 1 8 5 6)  (0 10 4 8 7 3 1 6 11 5 9 2)                               

                                        modulus: 12
         wolf intervals (between any two notes): ()
                     display multiple spellings: #f
    acceptable error when naming scales (cents): 0
                                     sort order: (packing)
             abbreviated multiple-column output: #t
                                  output format: numbers
                       number of output columns: 3
                                     row length: 12
                                      bad cells: ()
                    maximum number of bad cells: 0
                                     good cells: ()
                   minimum number of good cells: 0
      bad intervals (between consecutive notes): ()
                maximum number of bad intervals: 0
     good intervals (between consecutive notes): ()
               minimum number of good intervals: 0
          minimum number of different intervals: 3
   maximum number of same consecutive intervals: 2
             self-equivalence filter - standard: #t
                   self-equivalence filter - 5m: #f
              self-equivalence filter tolerance: 0
                         remove near-duplicates: #t
                       near-duplicate tolerance: 2
         wrap when counting cells and intervals: #t
      virtual row length, for computing spacing: 12
                                   motif length: 12
     look for standard transformations of motif: #t
           look for 5m transformations of motif: #f
                                minimum spacing: 2
                                maximum spacing: 6
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 1
                     minimum number of 1-spaces: 0
                     maximum number of 1-spaces: 3
  minimum number of occurrences of motif in row: 1
                    wrap when computing spacing: #t
              maximum number of rows to display: 2000
               file of results to search within: /Users/calebmorgan/Desktop/huge

finding rows....done

number of rows found: 95

removing near-duplicates...done

number of rows remaining: 55

(0 1 7 2 4 8 6 3 11 5 10 9)  (0 1 7 4 2 8 6 5 11 3 10 9)  (0 1 8 3 5 9 10 6 4 7 2 11)  

(0 1 8 4 6 9 10 5 3 7 2 11)  (0 1 9 2 4 10 8 3 6 5 7 11)  (0 2 7 3 6 8 11 5 4 9 1 10)  

(0 2 7 3 8 10 11 6 5 9 4 1)  (0 2 8 3 6 9 10 5 4 7 1 11)  (0 2 8 4 5 9 10 6 3 7 1 11)  

(0 2 9 4 10 11 5 7 8 1 6 3)  (0 2 11 5 4 3 10 7 1 8 9 6)  (0 3 2 6 1 7 8 10 9 5 4 11)  

(0 3 2 6 7 5 1 9 4 10 11 8)  (0 3 2 7 8 6 4 10 5 11 1 9)  (0 3 2 7 11 5 8 10 6 4 1 9)  

(0 3 4 6 11 7 9 1 8 2 5 10)  (0 3 4 7 2 8 10 11 9 6 5 1)  (0 3 8 4 7 9 1 6 5 10 2 11)  

(0 3 10 7 8 1 4 2 6 11 9 5)  (0 3 11 5 9 2 1 8 7 10 6 4)  (0 4 1 7 11 5 8 10 6 3 2 9)  

(0 4 2 7 1 5 9 11 8 6 3 10)  (0 4 2 7 1 6 9 10 8 5 3 11)  (0 4 2 8 7 6 3 10 5 11 1 9)  

(0 4 3 8 9 7 5 11 6 1 2 10)  (0 4 5 8 3 9 11 1 10 7 6 2)  (0 4 5 9 10 8 6 1 7 2 3 11)  

(0 4 6 8 5 10 1 2 11 9 7 3)  (0 4 7 8 1 11 9 3 10 5 6 2)  (0 4 7 8 9 11 6 2 3 1 10 5)  

(0 4 7 9 8 11 6 3 2 1 10 5)  (0 4 8 10 11 2 9 3 6 5 1 7)  (0 4 10 6 1 2 7 8 11 3 9 5)  

(0 4 10 6 11 1 5 8 9 2 7 3)  (0 4 11 7 1 2 5 9 10 3 8 6)  (0 5 4 9 10 8 6 1 7 3 2 11)  

(0 5 4 10 1 9 7 3 8 6 11 2)  (0 5 6 9 4 10 1 2 11 8 7 3)  (0 5 8 10 4 1 11 3 7 9 2 6)  

(0 5 8 10 11 2 9 4 6 3 1 7)  (0 5 11 10 8 4 6 3 7 1 2 9)  (0 6 7 10 9 1 8 3 4 2 11 5)  

(0 6 8 10 9 1 7 2 4 3 11 5)  (0 6 8 11 10 2 9 4 5 3 1 7)  (0 6 9 10 8 1 7 3 4 2 11 5)  

(0 6 10 11 2 4 1 5 8 7 3 9)  (0 7 3 2 5 10 6 9 1 8 11 4)  (0 8 2 3 5 10 7 11 6 1 4 9)  

(0 8 5 3 6 1 7 11 10 2 4 9)  (0 8 7 4 9 5 3 10 11 1 2 6)  mof3                         
                                                          (0 9 2 5 4 11 8 1 7 3 6 10)  

(0 9 2 6 1 11 7 3 4 10 5 8)  (0 9 4 3 6 11 10 8 2 7 1 5)  (0 10 2 7 11 9 4 3 1 8 5 6)  

(0 10 4 8 7 3 1 6 11 5 9 2)
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Old 12th February 2018, 04:14 AM   #134
calebprime
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For what to look at next, we can boil that down to a handful of propitious series,
some of which we already know.

(0 8 2 3 5 10 7 11 6 1 4 9) (0 4 10 6 1 2 7 8 11 3 9 5) (0 3 10 7 8 1 4 2 6 11 9 5)

(0 10 2 7 11 9 4 3 1 8 5 6) (0 4 2 7 1 5 9 11 8 6 3 10) (0 8 5 3 6 1 7 11 10 2 4 9)

mof3 (0 7 3 2 5 10 6 9 1 8 11 4) (0 9 4 3 6 11 10 8 2 7 1 5)
(0 9 2 5 4 11 8 1 7 3 6 10)

(0 10 4 8 7 3 1 6 11 5 9 2)
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Old 12th February 2018, 06:48 AM   #135
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It appears that this work has found us exactly 3 entirely new series --

(0 2 9 5 6 11 10 7 4 8 3 1)

(0 4 2 7 1 5 9 11 8 6 3 10)

(0 4 10 6 1 2 7 8 11 3 9 5)

So these are what I'll look at next.


But there may be quite a few more depending on how we filter it.

Once again I have to temper my enthusiasm -- I must have erred somehow a few days ago when it looked like every item on the list of 750 would be excellent.
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Old 12th February 2018, 08:48 AM   #136
calebprime
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Originally Posted by calebprime View Post
It appears that this work has found us exactly 3 entirely new series --

(0 2 9 5 6 11 10 7 4 8 3 1)

(0 4 2 7 1 5 9 11 8 6 3 10)

(0 4 10 6 1 2 7 8 11 3 9 5)

So these are what I'll look at next.


But there may be quite a few more depending on how we filter it.

Once again I have to temper my enthusiasm -- I must have erred somehow a few days ago when it looked like every item on the list of 750 would be excellent.


Well, it's not so bad. Around 1 in 7 of the 750 series have the dual property,
but many of these are rejected for intervallic reasons which someone else may not care about.


Code:
(0 4 7 8 9 11 6 2 3 1 10 5)  (0 5 8 9 10 1 6 3 4 2 11 7)  (0 5 8 9 10 1 7 3 4 2 11 6)  

(0 3 2 7 1 4 9 10 11 5 8 6)  (0 1 8 3 5 9 10 6 4 7 2 11)  (0 1 8 3 5 10 9 6 4 7 2 11)  

(0 1 8 4 6 9 10 5 3 7 2 11)  (0 1 8 4 6 10 9 5 3 7 2 11)  (0 1 9 2 4 10 8 3 6 5 7 11)  

(0 3 2 6 1 7 8 10 9 5 4 11)  (0 8 7 4 9 5 3 10 11 1 2 6)  (0 3 4 6 11 7 9 1 8 2 5 10)  

(0 8 2 3 5 10 7 11 6 1 4 9)  (0 2 8 3 6 9 10 5 4 7 1 11)  (0 2 8 3 6 10 9 5 4 7 1 11)  

(0 2 8 4 5 9 10 6 3 7 1 11)  (0 2 8 4 5 10 9 6 3 7 1 11)  mallalieu                    
                                                          (0 1 4 2 9 5 11 3 8 10 7 6)  

(0 4 5 8 3 9 10 1 11 7 6 2)  (0 6 7 10 9 1 8 3 4 2 11 5)  (0 6 10 11 2 4 1 5 8 7 3 9)  
                                                          (0 6 10 11 2 4 1 5 8 7 3 9)  

(0 4 10 6 1 2 7 8 11 3 9 5)  (0 5 6 9 1 11 8 2 10 4 7 3)  (0 4 11 7 1 2 5 9 10 3 8 6)  

(0 3 8 4 5 10 9 7 2 6 1 11)  (0 3 8 4 7 9 1 6 5 10 2 11)  (0 3 4 7 2 8 10 11 9 5 6 1)  

(0 3 4 7 2 8 10 11 9 6 5 1)  (0 4 5 8 3 9 11 1 10 7 6 2)  (0 4 8 10 11 2 9 3 6 5 1 7)  
                             (0 4 5 8 3 9 11 1 10 7 6 2)                               

(0 5 6 9 4 10 1 2 11 8 7 3)  (0 5 8 10 11 2 9 4 6 3 1 7)  (0 4 2 7 1 6 9 10 8 5 3 11)  
(0 5 6 9 4 10 1 2 11 8 7 3)                                                            

(0 2 8 5 6 10 11 7 4 9 3 1)  (0 4 5 9 10 8 6 1 7 2 3 11)  (0 5 6 10 11 9 8 2 7 3 4 1)  

(0 6 2 1 10 8 11 7 4 5 9 3)  (0 5 1 11 9 7 10 6 3 4 8 2)  (0 4 7 8 1 11 9 3 10 5 6 2)  

(0 2 8 5 6 11 10 7 4 9 3 1)  (0 5 4 9 10 8 6 1 7 3 2 11)  (0 3 10 7 8 1 4 2 6 11 9 5)  

(0 4 10 6 11 1 5 8 9 2 7 3)  (0 2 9 4 10 11 5 7 8 1 6 3)  (0 1 7 2 4 8 6 3 11 5 10 9)  

(0 9 2 6 1 11 7 3 4 10 5 8)  (0 1 7 4 2 8 6 5 11 3 10 9)  (0 3 11 6 7 1 10 8 5 9 4 2)  

(0 10 2 7 11 9 4 3 1 8 5 6)  (0 3 8 5 7 10 11 6 4 9 2 1)  (0 2 8 4 7 10 11 6 5 9 3 1)  

(0 2 7 3 8 10 11 6 5 9 4 1)  (0 5 11 10 8 4 6 3 7 1 2 9)  (0 7 4 2 3 11 5 9 8 10 1 6)  
                                                          (0 7 4 2 3 11 5 9 8 10 1 6)  

(0 3 8 4 6 10 11 7 5 9 2 1)  (0 4 3 8 9 7 5 11 6 1 2 10)  (0 4 3 8 9 7 6 11 5 1 2 10)  
                             (0 4 3 8 9 7 5 11 6 1 2 10)                               

(0 3 2 6 7 5 1 9 4 10 11 8)  (0 2 11 5 4 3 10 7 1 8 9 6)  (0 4 7 9 1 11 8 2 10 5 6 3)  

(0 4 6 8 5 10 1 2 11 9 7 3)  (0 6 9 11 10 3 8 4 5 2 1 7)  (0 6 9 10 8 1 7 3 4 2 11 5)  

(0 6 10 11 9 2 8 4 5 3 1 7)  (0 5 8 10 9 1 7 3 4 2 11 6)  (0 4 3 7 2 8 10 11 9 6 5 1)  
                             (0 5 8 10 9 1 7 3 4 2 11 6)                               
                             (0 5 8 10 9 1 7 3 4 2 11 6)                               

(0 6 8 11 10 2 9 4 5 3 1 7)  (0 3 2 7 8 6 4 10 5 11 1 9)  (0 4 7 9 8 11 6 3 2 1 10 5)  

(0 5 8 10 9 1 6 4 3 2 11 7)  (0 6 8 10 9 1 7 2 4 3 11 5)  (0 6 9 11 10 2 8 3 5 4 1 7)  

(0 5 8 10 9 1 7 4 3 2 11 6)  (0 6 8 11 10 2 9 3 5 4 1 7)  (0 4 6 9 11 10 7 2 8 3 5 1)  

(0 7 11 1 3 5 2 6 9 8 4 10)  (0 5 4 8 3 9 11 1 10 7 6 2)  (0 2 7 3 6 8 11 5 4 9 1 10)  

(0 5 8 10 1 11 7 3 9 4 6 2)  (0 4 2 7 1 5 9 11 8 6 3 10)  (0 3 8 5 7 11 10 6 4 9 2 1)  

(0 3 10 6 11 1 5 9 8 2 7 4)  (0 3 8 4 6 11 10 7 5 9 2 1)  (0 8 5 3 6 1 7 11 10 2 4 9)  

(0 5 8 10 4 1 11 3 7 9 2 6)  (0 2 8 4 7 11 10 6 5 9 3 1)  (0 4 2 8 7 6 3 10 5 11 1 9)  

(0 4 1 7 11 5 8 10 6 3 2 9)  (0 3 2 7 11 5 8 10 6 4 1 9)  row 1*                       
                                                          (0 3 8 10 7 11 5 1 4 2 9 6)  

mof3                         (0 5 8 11 10 2 9 4 6 3 1 7)  (0 5 4 10 1 9 7 3 8 6 11 2)  
(0 9 2 5 4 11 8 1 7 3 6 10)                                                            

(0 7 3 2 5 10 6 9 1 8 11 4)  (0 9 4 3 6 11 10 8 2 7 1 5)  (0 3 11 5 9 2 1 8 7 10 6 4)  

(0 10 4 8 7 3 1 6 11 5 9 2)
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Old 12th February 2018, 12:58 PM   #137
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There are two versions of the source code on my desktop for Microtonal Scales.

This one at least seems to work.

This one might be a little different than the one I posted in the other thread.


Code:
#lang racket/gui

(require racket/gui/base
         racket/random
;         racket/unsafe/ops
         (only-in rnrs/base-6 mod)
;         (only-in framework finder:get-file
;                            finder:put-file)
         )

(define-namespace-anchor namespace-anchor)
(define the-namespace (namespace-anchor->namespace namespace-anchor))

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

;(define-setting modulus 24)
;(define-setting length-min 5)  ; minimum number of notes in scale
;(define-setting length-max 8)  ; maximum number of notes in scale
;
;; wolf intervals, between any two notes in scale
;(define-setting wolves '(13 15))
;
;(define-setting wolf-max 5)  ; this many wolves are ok, but no more
;
;(define-setting distance-2-min 1) ; minimum difference between any 2 consecutive notes in scale
;(define-setting distance-3-min 3) ; minimum difference between the lowest and highest notes
;                                  ;   of any 3 consecutive notes in scale
;; never use these notes
;(define-setting bad-notes '(1 13 23))
;
;; Scale must not contain any of these cells.
;; Each cell is specified as a list of numbers.
;; The first number is the range, i.e., the number
;; of consecutive notes in the scale that are
;; considered together when checking for the presence
;; of the cell.  The rest of the numbers in the list
;; are the notes of the cell. 
;(define-setting bad-cells '((3 0 3 4)))
;
;; only these intervals are allowed between consecutive notes in scale
;; (but if the list is empty, all intervals are allowed)
;(define-setting allowed-intervals '(1 3 5))
;
;; #t : scale must contain at least one of each allowed interval
;; #f : scale need not contain every allowed interval
;(define-setting require-all-allowed-intervals #t)
;
;; #t : don't display scale if adding any note to it results in some other displayed scale
;; #f : do
;(define-setting require-completeness #t)
;
;; if you don't care about balance, set both balance-in-min and balance-out-min to 0
;(define-setting balance-notes '(0 2 4 6 8 10 12 14 16 18 20 22))
;(define-setting balance-in-min  1)  ; at least this many notes in scale must come from balance-notes
;(define-setting balance-out-min 3)  ; at least this many notes in scale must come from outside balance-notes
;
;; #t : display multiple spellings if they're all equally good
;; #f : never display more than one spelling
;(define-setting multiple-spellings #f)
;
;; if more than this number of scales are found,
;; don't display them by default
;(define-setting scales-max 100)
;
;; allowed values are: length packing wolves balance distance rotation
;; any number of them, in any order
;; earlier ones are more important than later ones
;; any of them may be immediately followed by an asterisk to indicate reverse order
;; for example, length* means longer first instead of the usual shorter first
;(define-setting sort-order '(packing))

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

(define settings '())

; the (set! symbol ...) is to convince the compiler that the variable is not constant,
; so that it can be changed later by copy-settings-from-gui-to-vars.
(define-syntax-rule (define-setting symbol label type default)
  (begin
    (define symbol 'whatever)
    (set! symbol 'whatever)
    (set! settings (cons (list 'symbol label 'type default) settings))))

(define setting-symbol first)
(define setting-label second)
(define setting-type third)
(define setting-default fourth)

(define-setting modulus                       "modulus:"                                         number       "24")
(define-setting wolves                        "wolf intervals (between any two notes):"          list         "13 15")
(define-setting multiple-spellings            "display multiple spellings:"                      boolean      #f)
(define-setting scale-tolerance               "acceptable error when naming scales (cents):"     number       "0")
(define-setting sort-order                    "sort order:"                                      list         "length rotation wolves packing")
(define-setting multi-column                  "abbreviated multiple-column output:"              boolean      #f)
(define-setting output-format                 "output format:"                                   choice       '("numbers" "letters" "intervals" "keyboard"))
(define-setting column-count                  "number of output columns:"                        number       "3")

(define-setting keyboard-notes-raw            "keyboard notes:"                                  list         "")
(define-setting first-note                    "first note of scale:"                             number       "0")
(define-setting length-min                    "minimum scale length:"                            number       "6")
(define-setting length-max                    "maximum scale length:"                            number       "8")
(define-setting wolf-min                      "minimum number of wolves:"                        number       "0")
(define-setting wolf-max                      "maximum number of wolves:"                        number       "1")
(define-setting bad-cells-raw                 "bad cells:"                                       list-of-list "(4 0 1 2)")
(define-setting bad-cell-max                  "maximum number of bad cells:"                     number       "0")
(define-setting good-cells-raw                "good cells:"                                      list-of-list "")
(define-setting good-cell-min                 "minimum number of good cells:"                    number       "0")
(define-setting distance-2-min                "minimum interval between consecutive notes:"      number       "2")
(define-setting distance-3-min                "minimum interval between alternate notes:"        number       "5")
(define-setting require-completeness          "require completeness:"                            boolean      #t)
(define-setting bad-intervals                 "bad intervals (between consecutive notes):"       list         "")
(define-setting bad-interval-max              "maximum number of bad intervals:"                 number       "0")
(define-setting good-intervals                "good intervals (between consecutive notes):"      list         "")
(define-setting good-interval-min             "minimum number of good intervals:"                number       "0")
(define-setting allowed-intervals             "allowed intervals between consecutive notes:"     list         "")
(define-setting require-all-allowed-intervals "require all allowed intervals:"                   boolean      #f)
(define-setting required-notes                "required notes:"                                  list         "")
(define-setting forbidden-notes               "forbidden notes:"                                 list         "1 13 15 23")
(define-setting balance-notes                 "balance notes:"                                   list         "0 2 4 6 8 10 12 14 16 18 20 22")
(define-setting balance-in-min                "minimum number of notes from balance:"            number       "1")
(define-setting balance-out-min               "minimum number of notes not from balance:"        number       "1")
(define-setting scales-max                    "maximum number of scales to display:"             number       "100")

(define-setting scale-contents2               "scale:"                                           string       "")
(define-setting scale-interpretation          "scale is specified as:"                           choice       '("notes" "intervals" "name"))
(define-setting reorder-notes                 "put notes in order before looking up name:"       boolean      #t)
(define-setting display-supersets             "display all known supersets of scale:"            boolean      #f)

(define-setting scale-contents3               "scale:"                                           list         "0")
(define-setting common-notes                  "allowed common notes:"                            list         "")
(define-setting max-additional-common-notes   "maximum number of additional common notes:"       number       "0")
(define-setting complement-source             "source of possible complements:"                  choice       '("the scale above" "all named scales"))

(define-setting motif                         "motif:"                                           list         "")
(define-setting multiplier-special            "evenly spaced multiplier:"                        boolean      #f)
(define-setting multiplier                    "multiplier:"                                      list         "0")
(define-setting multiplicand-order            "order of multiplication:"                         choice       '("motif times multiplier" "multiplier times motif" "both"))
(define-setting from-cycle                    "map from cycle:"                                  list         "1")
(define-setting to-cycle                      "map to cycle:"                                    list         "1")
(define-setting mm-order                      "order of operations:"                             choice       '("map, then multiply" "multiply, then map"))
(define-setting identify-results              "identify results:"                                boolean      #f)
(define-setting from-table                    "map from table:"                                  list-box     '())
(define-setting to-table                      "map to table:"                                    list-box     '())

(define-setting row-length                    "row length:"                                      number       "12")
(define-setting mof-bad-cells-raw             "bad cells:"                                       list-of-list "")
(define-setting mof-bad-cell-max              "maximum number of bad cells:"                     number       "0")
(define-setting mof-good-cells-raw            "good cells:"                                      list-of-list "")
(define-setting mof-good-cell-min             "minimum number of good cells:"                    number       "0")
(define-setting mof-bad-intervals             "bad intervals (between consecutive notes):"       list         "")
(define-setting mof-bad-interval-max          "maximum number of bad intervals:"                 number       "0")
(define-setting mof-good-intervals            "good intervals (between consecutive notes):"      list         "")
(define-setting mof-good-interval-min         "minimum number of good intervals:"                number       "0")
(define-setting distinct-interval-min         "minimum number of different intervals:"           number       "")
(define-setting interval-repetition-max       "maximum number of same consecutive intervals:"    number       "")
(define-setting self-eq-standard              "self-equivalence filter - standard:"              boolean      #t)
(define-setting self-eq-5m                    "self-equivalence filter - 5m:"                    boolean      #f)
(define-setting self-eq-tolerance             "self-equivalence filter tolerance:"               number       "0")
(define-setting filter-duplicates             "remove near-duplicates:"                          boolean      #f)
(define-setting duplicate-tolerance           "near-duplicate tolerance:"                        number       "0")
(define-setting wrap-row                      "wrap when counting cells and intervals:"          boolean      #t)
(define-setting spacing-row-length            "virtual row length, for computing spacing:"       number       "13")
(define-setting motif-length                  "motif length:"                                    number       "12")
(define-setting standard-transforms           "look for standard transformations of motif:"      boolean      #t)
(define-setting 5m-transforms                 "look for 5m transformations of motif:"            boolean      #f)
(define-setting spacing-min                   "minimum spacing:"                                 number       "")
(define-setting spacing-max                   "maximum spacing:"                                 number       "")
(define-setting spacing-error-min             "minimum number of violations of min/max spacing:" number       "0")
(define-setting spacing-error-max             "maximum number of violations of min/max spacing:" number       "0")
(define-setting 1-space-min                   "minimum number of 1-spaces:"                      number       "0")
(define-setting 1-space-max                   "maximum number of 1-spaces:"                      number       "0")
(define-setting motif-min                     "minimum number of occurrences of motif in row:"   number       "")
(define-setting wrap-spacing                  "wrap when computing spacing:"                     boolean      #t)
(define-setting rows-max                      "maximum number of rows to display:"               number       "100")
(define-setting results-file                  "file of results to search within:"                string       "")

(set! settings (reverse settings))

(define (padding str len)
  (make-string (- len (string-length str))
               #\space))

(define (setting-length s)
  (string-length (setting-label s)))

(define (display-setting s len)
  (let ((label (setting-label s)))
    (display (padding label len))
    (display label))
  (display #\space)
  (display (eval (setting-symbol s) the-namespace)))

(define first-setting
  (vector 'modulus 'keyboard-notes-raw 'scale-contents2 'scale-contents3 'motif 'row-length 'the-end))

(define (get-settings tab)
  (define (not-yet n)
    (lambda (s) (not (eq? (setting-symbol s) (vector-ref first-setting n)))))
  (takef (dropf settings (not-yet tab))
         (not-yet (+ 1 tab))))

(define (display-settings tab)
  (let* ((ss (append (get-settings 0) (get-settings tab)))
         (len (apply max (map setting-length ss))))
    (for-each (lambda (s)
                  (display-setting s len)
                  (newline))
                ss)
    (newline)))

(define gui-fields (make-hash))

(define the-frame (new frame% (label "microtonal scales")))

(define the-tabs (new tab-panel%
                      (parent the-frame)
                      (choices '("common" "generate" "identify" "complement" "mmm" "mof"))
                      (callback (lambda (tp e)
                                  (send tp change-children
                                        (lambda (x)
                                          (case (send tp get-selection)
                                            ((0) (list common-panel))
                                            ((1) (list generate-panel))
                                            ((2) (list identify-panel))
                                            ((3) (list complement-panel))
                                            ((4) (list mmm-panel))
                                            ((5) (list mof-panel)))))))))

(send the-tabs set-selection 1)

(define (make-tab-panel show?)
  (new vertical-panel%
       (parent the-tabs)
       (style (if show? '() '(deleted)))))

(define (make-tab-pane p)
  (new horizontal-pane%
       (parent p)))

(define common-panel     (make-tab-panel #f))
(define generate-panel   (make-tab-panel #t))
(define identify-panel   (make-tab-panel #f))
(define complement-panel (make-tab-panel #f))
(define mmm-panel        (make-tab-panel #f))
(define mof-panel        (make-tab-panel #f))

(define common-pane     (make-tab-pane common-panel))
(define generate-pane   (make-tab-pane generate-panel))
(define identify-pane   (make-tab-pane identify-panel))
(define complement-pane (make-tab-pane complement-panel))
(define mmm-pane        (make-tab-pane mmm-panel))
(define mof-pane        (make-tab-pane mof-panel))

(define (make-column p (subcolumn #f))
  (let* ((column (new vertical-pane%
                      (parent p)
                      (border (if subcolumn 0 5))))
         (column-top (new horizontal-pane%
                          (parent column)
                          (stretchable-height subcolumn))))
    (let ((labels (new vertical-pane%
                       (parent column-top)
                       (stretchable-width #f)))
          (fields (new vertical-pane%
                       (parent column-top)
                       (alignment '(left center)))))
      (list column labels fields))))

(define column-whole first)
(define column-labels second)
(define column-fields third)

(define column-0-0 (make-column common-pane))
(define column-0-1 (make-column common-pane))
(define column-1-0 (make-column generate-pane))
(define column-1-1 (make-column generate-pane))
(define column-2   (make-column identify-pane))
(define column-3   (make-column complement-pane))
(define column-4-0a (make-column mmm-pane))
(define column-4-0b (make-column (column-whole column-4-0a) #t))
(define column-4-1 (make-column mmm-pane))
(define column-5-0 (make-column mof-pane))
(define column-5-1 (make-column mof-pane))

(define-values (check-box-height text-field-height choice-height)
  (let ((frame (new frame% (label "test"))))
    (let ((cb (new check-box% (parent frame) (label "")))
          (tf (new text-field% (parent frame) (label #f)))
          (ch (new choice% (parent frame) (label #f) (choices '("hi")))))
      (let ((cb-margin (send cb vert-margin))
            (tf-margin (send tf vert-margin))
            (ch-margin (send ch vert-margin)))
        (let-values (((dummy1 cb-height) (send cb get-graphical-min-size))
                     ((dummy2 tf-height) (send tf get-graphical-min-size))
                     ((dummy3 ch-height) (send ch get-graphical-min-size)))
          (let ((max-height (max (+ cb-margin cb-height)
                                 (+ tf-margin tf-height)
                                 (+ ch-margin ch-height))))
            (values (- max-height cb-margin)
                    (- max-height tf-margin)
                    (- max-height ch-margin))))))))

(define (add-gui-field setting column)
  (let ((labels-pane (column-labels column))
        (fields-pane (column-fields column)))
    (let* ((field-label (new message%
                             (parent (new pane%
                                          (parent labels-pane)
                                          (alignment '(right center))))
                             (label (setting-label setting))))
           (field-class (case (setting-type setting)
                          ((boolean)                         check-box%)
                          ((number string list list-of-list) text-field%)
                          ((choice)                          choice%)
                          ((list-box)                        list-box%)))
           (the-field (cond
                        ((eq? field-class check-box%) (new check-box%
                                                           (parent fields-pane)
                                                           (label "")
                                                           (min-height check-box-height)))
                        ((eq? field-class text-field%) (new text-field%
                                                            (parent fields-pane)
                                                            (label #f)
                                                            (min-height text-field-height)))
                        ((eq? field-class choice%) (new choice%
                                                        (parent fields-pane)
                                                        (label #f)
                                                        (choices (setting-default setting))
                                                        (min-height choice-height)))
                        ((eq? field-class list-box%) (new list-box%
                                                         (parent fields-pane)
                                                         (label #f)
                                                         (style '(multiple))
                                                         (choices (setting-default setting)))))))
      (when (member field-class (list check-box% text-field%))
        (send the-field set-value (setting-default setting)))
      (hash-set! gui-fields (setting-symbol setting) the-field))))

(let recur ((ss settings)
            (col column-0-0))
  (when (pair? ss)
    (let ((s (car ss)))
      (add-gui-field s col)
      (recur (cdr ss) (case (setting-symbol s)
                        ((column-count)      column-1-0)
                        ((good-cell-min)     column-1-1)
                        ((scales-max)        column-2)
                        ((display-supersets) column-3)
                        ((complement-source) column-4-0a)
                        ((identify-results)  column-4-0b)
                        ((to-table)          column-5-0)
                        ((wrap-row)          column-5-1)
                        (else                col))))))

(define (make-help-field col txt)
  (let ((help-field (new text-field%
                         (parent (column-whole col))
                         (label #f)
                         (style '(multiple))
                         (enabled #f))))
    (send help-field set-value txt)))

(make-help-field column-0-1 "Sort order may be any combination of:\n\n   length packing wolves\n   balance distance rotation\n\nAny of them may be immediately followed by an asterisk, in which case the usual order will be reversed.  For example, length* means longer scales will come first, instead of shorter ones.")

(make-help-field column-1-0 "Each cell is written as a parenthesized list of numbers.  The first number is the number of consecutive notes of the scale being considered within which the cell must be found if it is to count.  The rest of the numbers are the notes of the cell.")

(make-help-field column-4-1 "The fields 'map from cycle' and 'map to cycle' can each contain one, two, or three numbers.  One number means just that number.  Two numbers means all numbers between the two (including the two).  Three numbers means all numbers you get by starting from the first and repeatedly adding the third until reaching the second.\n\nIf 'evenly spaced multiplier' is unchecked, the 'multiplier' field should contain the list of pitches to be multiplied by the motif.  If checked, the 'multiplier' field indirectly represents a list of pitches.  It should contain three numbers: the first pitch of the list, the spacing between successive pitches, and the number of pitches.")

(define (nesting-level x)
  (cond
    ((pair? x) (+ 1 (nesting-level (car x))))
    ((null? x) 1)
    (else 0)))

(define (increase-nesting-level str n)
  (string-append (make-string n #\( )
                 str
                 (make-string n #\) )))

(define (nest str n)
  (let ((x (read (open-input-string str))))
    (if (eof-object? x)
        (if (zero? n) 0 '())
        (read (open-input-string (increase-nesting-level str (- n (nesting-level x))))))))

(define (nest-appropriately val type)
  (case type
    ((string boolean
      choice list-box)    val)
    ((number)       (nest val 0))
    ((list)         (nest val 1))
    ((list-of-list) (nest val 2))))  

(define (get-field-value sym)
  (let ((f (hash-ref gui-fields sym)))
    (cond
      ((is-a? f choice%)         (send f get-string-selection))
      ((is-a? f list-box%)       (send f get-selections))
      ((or (is-a? f text-field%)
           (is-a? f check-box%)) (send f get-value)))))

(define (set-list-box-selections box ns)
  (if (null? ns)
      (when (positive? (send box get-number))
        (send box set-selection 0)
        (send box select 0 #f))
      (begin
        (send box set-selection (car ns))
        (for-each (lambda (n) (send box select n))
                  (cdr ns)))))

(define (set-field-value sym val)
  (let ((f (hash-ref gui-fields sym)))
    (cond
      ((is-a? f choice%)         (send f set-string-selection val))
      ((is-a? f list-box%)       (set-list-box-selections f val))
      ((or (is-a? f text-field%)
           (is-a? f check-box%)) (send f set-value val)))))

(define (copy-settings-from-gui-to-vars)
  (for-each (lambda (s)
              (let* ((sym (setting-symbol s))
                     (val (nest-appropriately (get-field-value sym) (setting-type s))))
                (eval `(set! ,sym ',val) the-namespace)))
            settings))

(define (get-data-from-gui)
  (map (lambda (s)
         (let ((sym (setting-symbol s)))
           (list sym (get-field-value sym))))
       settings))

(define (set-gui-from-data data)
  (for-each (lambda (x)
              (set-field-value (car x) (cadr x)))
            data))

; writer is a function of one argument, an output port, and writes stuff to it
(define (save-to-file writer)
  (let ((file (put-file)))
    (when file
      (call-with-output-file file writer #:mode 'text #:exists 'replace))))

; reader is a function of one argument, an input port, and reads stuff from it
(define (load-from-file reader)
  (let ((file (get-file)))
    (when file
      (call-with-input-file file reader))))

(define (write-list lst p)
  (displayln "(" p)
  (for-each (lambda (x) (writeln x p))
            lst)
  (displayln ")" p))

(define (save-settings-to-file)
  (save-to-file (lambda (p) (write-list (get-data-from-gui) p))))

(define (load-settings-from-file)
  (load-from-file (lambda (p) (set-gui-from-data (read p)))))

(define (write-results p)
  (write-list settings-in-use p)
  (write-list found-scales p))  

(define (normalize-results-path path)
  (path->string (simple-form-path path)))

(define (set-loaded-results-path path set-results-file)
  (let ((s (normalize-results-path path)))
    (set! loaded-results-path s)
    (when set-results-file
      (set-field-value 'results-file s))))

(define (read-results path button-pressed)
  (call-with-input-file path
    (lambda (p)
      (let ((data (read p)))
        (when button-pressed
          (set-gui-from-data data)))
      (set! loaded-results (read p))))
  (set-loaded-results-path path button-pressed))

(define (save-results-to-file)
  (save-to-file write-results))

(define (load-results-from-file)
  (let ((file (get-file)))
    (when file
      (read-results file #t))))

(define (save-and-load-results)
  (let ((file (put-file)))
    (when file
      (call-with-output-file file write-results #:mode 'text #:exists 'replace)
      (set-gui-from-data settings-in-use)
      (set! loaded-results found-scales)
      (set-loaded-results-path file #t))))

(define (clear-results)
  (set-field-value 'results-file "")
  (set! loaded-results '())
  (set! loaded-results-path ""))

(define please-stop #f)

(define stop-buttons '())

(define (set-going-state b)
  (for-each (lambda (button) (send button enable b))
            stop-buttons)
  (for-each (lambda (button) (send button enable (not b)))
            other-buttons))

(define (make-go-button p f)
  (new button%
       (parent p)
       (label "go")
       (callback (lambda (b e)
                   (set-going-state #t)
                   (set! please-stop #f)
                   (thread (lambda ()
                             (dynamic-wind
                              (lambda () 'whatever)
                              f
                              (lambda () (set-going-state #f)))))))))

(define (make-stop-button p)
  (let ((button  (new button%
                      (parent p)
                      (label "stop")
                      (enabled #f)
                      (callback (lambda (b e)
                                  (set! please-stop #t))))))
    (set! stop-buttons (cons button stop-buttons))
    button))

(define (make-buttons-pane p)
  (new horizontal-pane%
       (parent p)
       (alignment '(center center))
       (border 5)
       (stretchable-height #f)))

(define buttons-pane-0 (make-buttons-pane common-panel))

(define save-settings-button (new button%
                                  (parent buttons-pane-0)
                                  (label "save settings")
                                  (callback (lambda (b e)
                                              (save-settings-to-file)))))

(define load-settings-button (new button%
                                  (parent buttons-pane-0)
                                  (label "load settings")
                                  (callback (lambda (b e)
                                              (load-settings-from-file)))))

(define buttons-pane-1 (make-buttons-pane generate-panel))

(define generate-go-button (make-go-button buttons-pane-1 (lambda () (generate))))
(define generate-stop-button (make-stop-button buttons-pane-1))

(define buttons-pane-2 (make-buttons-pane identify-panel))

(define identify-button (new button%
                             (parent buttons-pane-2)
                             (label "identify")
                             (callback (lambda (b e)
                                         (set! please-stop #f)
                                         (thread identify)))))

(define list-button (new button%
                         (parent buttons-pane-2)
                         (label "list")
                         (callback (lambda (b e)
                                     (thread list-known-scales)))))

(define buttons-pane-3 (make-buttons-pane complement-panel))

(define complement-button (new button%
                               (parent buttons-pane-3)
                               (label "complement")
                               (callback (lambda (b e)
                                           (set! please-stop #f)
                                           (thread complement)))))

(define buttons-pane-4 (make-buttons-pane mmm-panel))

(define mmm-button (new button%
                        (parent buttons-pane-4)
                        (label "mmm")
                        (callback (lambda (b e)
                                    (set! please-stop #f) ; necessary if display-scales gets called
                                    (thread mmm)))))

(define buttons-pane-5 (make-buttons-pane mof-panel))

(define save-results-button (new button%
                                 (parent buttons-pane-5)
                                 (label "save results")
                                 (callback (lambda (b e)
                                             (save-results-to-file)))))

(define load-results-button (new button%
                                 (parent buttons-pane-5)
                                 (label "load results")
                                 (callback (lambda (b e)
                                             (load-results-from-file)))))

(define save-load-button (new button%
                              (parent buttons-pane-5)
                              (label "save and load results")
                              (callback (lambda (b e)
                                          (save-and-load-results)))))

(define clear-results-button (new button%
                                  (parent buttons-pane-5)
                                  (label "clear results")
                                  (callback (lambda (b e)
                                              (clear-results)))))

(define mof-go-button (make-go-button buttons-pane-5 (lambda () (mof))))
(define mof-stop-button (make-stop-button buttons-pane-5))

(define other-buttons (list save-settings-button
                            load-settings-button
                            generate-go-button
                            identify-button
                            list-button
                            complement-button
                            mmm-button
                            save-results-button
                            load-results-button
                            save-load-button
                            clear-results-button
                            mof-go-button))

; A note is represented as a nonnegative integer less than modulus.

; A scale is represented as a list of notes.  As it's being built,
;   it's in decreasing order.  Once it's complete, it's reversed
;   into increasing order before being added to 'found-scales'.
;   (Sort of.  See function note-comparer.)

(define found-scales '())   ; initially empty list, onto which scales are consed as they are found
(define allowed-notes '())  ; notes that may be included in a scale
(define bad-cells '())      ; bad cells, after being preprocessed
(define good-cells '())     ; good cells, after being preprocessed
(define keyboard-notes '())
(define keyboard #f)        ; vector, of length modulus, mapping notes to keyboard keys

(define (interval a b)
  (modulo (- b a) modulus))

; transpose note n by k, where modulus is m
(define (transpose-note m n k)
  (modulo (+ n k) m))

; transpose scale s by k, where modulus is m
(define (transpose-scale m s k)
  (map (lambda (n) (transpose-note m n k))
       s))

; invert note n, where modulus is m
(define (invert-note m n)
  (modulo (- n) m))

; invert scale s, where modulus is m
(define (invert-scale m s)
  (map (lambda (n) (invert-note m n))
       s))

(define (invert-scale-m s)
  (invert-scale modulus s))

(define note-names
  '#(("A"              )  ;  0
     ("A+"  "A#-" "Bb-")  ;  1
     ("A#"  "Bb"       )  ;  2
     ("A#+" "Bb+" "B-" )  ;  3
     ("B"              )  ;  4
     ("B+"  "C-"       )  ;  5
     ("C"              )  ;  6
     ("C+"  "C#-" "Db-")  ;  7
     ("C#"  "Db"       )  ;  8
     ("C#+" "Db+" "D-" )  ;  9
     ("D"              )  ; 10
     ("D+"  "D#-" "Eb-")  ; 11
     ("D#"  "Eb"       )  ; 12
     ("D#+" "Eb+" "E-" )  ; 13
     ("E"              )  ; 14
     ("E+"  "F-"       )  ; 15
     ("F"              )  ; 16
     ("F+"  "F#-" "Gb-")  ; 17
     ("F#"  "Gb"       )  ; 18
     ("F#+" "Gb+" "G-" )  ; 19
     ("G"              )  ; 20
     ("G+"  "G#-" "Ab-")  ; 21
     ("G#"  "Ab"       )  ; 22
     ("G#+" "Ab+" "A-" )  ; 23
))

; A name code represents, e.g., F#+, as
; a list of three numbers, one for the F,
; one for the # and one for the +.
;
;  first number: A through G are 0 through 6, respectively.
; second number: b is -1, # is +1, none is 0.
;  third number: - is -1, + is +1, none is 0.

(define code-values
  '((#\A . 0)
    (#\B . 1)
    (#\C . 2)
    (#\D . 3)
    (#\E . 4)
    (#\F . 5)
    (#\G . 6)))

; assumes name is properly capitalized
; i.e., first letter is capital, rest aren't
(define (name->code name)
  (let ((lst (string->list name)))
    (let ((letter (car lst))
          (accidentals (cdr lst)))
      (list
        (cdr (assoc letter code-values))
        (cond
          ((member #\b accidentals) -1)
          ((member #\# accidentals) +1)
          (else 0))
        (cond
          ((member #\- accidentals) -1)
          ((member #\+ accidentals) +1)
          (else 0))))))

(define (code->name code)
  (let ((x (car code))
        (y (cadr code))
        (z (caddr code)))
    (string-append
      (string (car (list-ref code-values x)))
      (case y
        ((-1) "b")
        ((+1) "#")
        (else ""))
      (case z
        ((-1) "-")
        ((+1) "+")
        (else "")))))

; same structure as note-names, i.e. vector of lists,
; except with each name replaced by the corresponding code
(define name-codes
  (vector-map (lambda (name-list) (map name->code name-list))
    note-names))

(define note-values
  '((#\A .  0)
    (#\B .  4)
    (#\C .  6)
    (#\D . 10)
    (#\E . 14)
    (#\F . 16)
    (#\G . 20)
    (#\# .  2)
    (#\b . -2)
    (#\+ .  1)
    (#\- . -1)))

(define (string->note s)
  (apply +
    (map (lambda (c) (cdr (assoc c note-values)))
         (let ((cs (string->list s)))
           (cons (char-upcase (car cs))
             (map char-downcase (cdr cs)))))))

(define (minimum less xs)
  (foldl (lambda (x m) (if (less x m) x m))
    (car xs) (cdr xs)))

; returns a function that compares two lists lexicographically,
;   returning true if the first precedes the second.
; corresponding elements of the lists are compared using 'less'.
(define (comparer less)
  (letrec ((f (lambda (a b)
                (or (and (null? a) (pair? b))
                    (and (pair? a) (pair? b)
                         (or (less (car a) (car b))
                             (and (not (less (car b) (car a)))
                                  (f (cdr a) (cdr b)))))))))
    f))

(define (sorter key less)
  (lambda (lst)
    (sort lst less #:key key #:cache-keys? #t)))

(define (rotate-scale m s)
  (let ((t (append (cdr s) (list (car s)))))
    (transpose-scale m t (- (car t)))))

; list of rotations of scale
; scale itself is the first one
(define (all-rotations m scale)
  (let recur ((n (- (length scale) 1))
              (rs (list (rotate-scale m scale))))
    (if (zero? n)
        rs
        (recur (- n 1) (cons (rotate-scale m (car rs)) rs)))))

(define (all-rotations-m scale)
  (all-rotations modulus scale))

(define (least-rotation m scale)
  (minimum (comparer <) (all-rotations m scale)))

(define (least-rotation-m scale)
  (least-rotation modulus scale))

(define (scale-sorter x)
  (case x
    ((length)    (sorter length <))
    ((length*)   (sorter length >))
    ((packing)   (sorter values (comparer <)))
    ((packing*)  (sorter values (comparer >)))
    ((wolves)    (sorter count-all-wolves <))
    ((wolves*)   (sorter count-all-wolves >))
    ((balance)   (sorter count-balance-out <))
    ((balance*)  (sorter count-balance-out >))
    ((distance)  (sorter least-distance-3 <))
    ((distance*) (sorter least-distance-3 >))
    ((rotation)  (sorter least-rotation-m (comparer <)))
    ((rotation*) (sorter least-rotation-m (comparer >)))
    (else (string-append "I don't know how to sort by " (symbol->string x) "."))))

; name of scale followed by its intervals
(define scale-list-1
  '(
    ("Whole-Tone"              2 2 2 2 2 2)
    ("Augmented 1-3"           1 3 1 3 1 3)
    ("Lydian"                  2 2 2 1 2 2 1)
    ("Harmonic Major"          1 3 1 2 2 1 2)
    ("Harmonic Minor"          2 1 2 2 1 3 1)
    ("Ascending Melodic Minor" 2 1 2 2 2 2 1)
    ("Octatonic-Diminished"    1 2 1 2 1 2 1 2)
    ("Rast"                    4 3 3 4 4 3 3)
    ("Dastgah-e Chahargah"     3 5 2 4 3 5 2)
    ("Sikah Baladi"            3 4 3 4 3 4 3)
    ("Nahfat"                  3 3 4 4 4 2 4)
;   ("Mahur"                   4 3 3 4 4 4 2)
    ("Saba"                    3 3 2 6 2 4 4)
    ("Sabr Jadid"              3 3 2 6 2 6 2)
    ("Suznak"                  4 3 3 4 2 6 2)
;   ("Qarjighar"               3 3 4 2 6 2 4)
;   ("Hizam"                   3 4 2 6 2 4 3)
    ("Nawa"                    2 4 4 4 3 3 4)
    ("Higaz-kar"               2 5 3 4 2 5 3)
    ("Dastgah"                 3 5 2 4 2 4 4)
;   ("Naghmeh Esfahan"         4 2 4 4 3 5 2)
    ("Aug-ara"                 3 6 1 5 2 6 1)
    ("Buselik"                 4 1 5 4 2 6 2)
    ("Neuter"                  4 2 6 2 2 5 3)
    ("Ushaq&Yi"                4 3 3 4 4 2 4)
;   ("Su'ar"                   3 4 4 2 4 4 3)
;   ("Ushaq Masri"             4 2 4 4 3 3 4)
;   ("'Ushshaq Turki"          3 3 4 4 2 4 4)
;   ("Jahargah"                4 4 2 4 4 3 3)
    ("Daniel"                  4 4 2 3 1 4 6)
    ("Oceans Eleven HF2"       3 4 4 3 5 2 3)
    ("Oceans Eleven Tropicana" 3 4 4 3 3 2 5)
    ("Oceans Eleven Squeeze"   5 2 4 3 3 2 5)
    ("Cicada Climbs Wall"      8 3 3 2 5 3)
    ("Cicada Sox Six"          8 3 3 2 3 5)
    ("Cal's Hex 3437"          3 4 3 7 4 3)
    ("Cal's Hex 3433"          3 3 4 7 3 4)
    ("Cal's Hex 3434"          3 4 3 4 3 7)  
    ("31 LYDIAN GROUP"         5 5 5 3 5 5 3)
    ("31 No-Wolf 7-of-Oct"     3 5 2 6 2 8 5)
    ("31 Harmonic Major"       5 5 3 5 3 7 3)
    ("31 Harmonic Major2"      5 5 3 5 2 8 3)
    ("31 Melodic Minor Up"     3 5 5 5 5 3 5)
    ("31 Harmonic Minor"       5 3 5 5 3 7 3)
    ("Kanakangi-0125789"       1 1 3 2 1 1 3)
    ("Ratnangi-012578T"        1 1 3 2 1 2 2)
    ("Ganamurti-0124679"       1 1 2 2 1 2 3)
    ("Vanaspati-012579T"       1 1 3 2 2 1 2)
    ("Manavati-012579E"        1 1 3 2 2 2 1)
    ("Tanarupi-01257TE"        1 1 3 2 3 1 1)
    ("Senavati-0135789"        1 2 2 2 1 1 3)
    ("Dhenuka-013578B"         1 2 2 2 1 3 1)
    ("Kokilapriya-013579B"     1 2 2 2 2 2 1)
    ("Rupavati-01357TE"        1 2 2 2 3 1 1)
    ("Gayak-0145789"           1 3 1 2 1 1 3)
    ("Mayam-014578E"           1 3 1 2 1 3 1)
    ("Hatak-01457TE"           1 3 1 2 3 1 1)
    ("Varu-02357TE"            2 1 2 2 3 1 1)
    ("Nagan-02457TE"           2 2 1 2 3 1 1)
    ("Yaga-0345789"            3 1 1 2 1 1 3)
    ("Gangey-034578E"          3 1 1 2 1 3 1)
    ("Chalanata-03457TE"       3 1 1 2 3 1 1)
    ("Salagam-0126789"         1 1 4 1 1 1 3)
    ("Jalarn-012678T"          1 1 4 1 1 2 2)
    ("Jhala-012678E"           1 1 4 1 1 3 1)
    ("Navam-012679T"           1 1 4 1 2 1 2)
    ("Pavani-012679E"          1 1 4 1 2 1 2)
    ("Rhagu-01267TE"           1 1 4 1 3 1 1)
    ("Sadvid-013679T"          1 2 3 1 2 1 2)
    ("Suvarn-013679E"          1 2 3 1 2 2 1)
    ("Dvya-01367TE"            1 2 3 1 3 1 1)
    ("Dhava-0146789"           1 3 2 1 1 1 3)
    ("Naman-014678T"           1 3 2 1 1 2 2)
    ("Sucha-0346789"           3 1 2 1 1 1 3)
    ("Jioti-034678T"           3 1 2 1 1 2 2)
    ("Target"                  4 3 4 3 5 2 3)
    ("Nice"                    3 2 5 7 4 3)
    ("118-Harmonic11L"         20 18 16 15 14 12 23)
    ("118-Mu-Trane11"          20 18 16 15 49)
    ("Mu-Trane11qt"            4 4 3 3 10)
    ("WideLydian190"           34 34 34 10 34 34 10)
    ("HybridLydian190"         33 33 33 11 33 33 14)
    ("MedLydian190"            32 32 32 15 32 32 15)
    ("5LimJI-Lydian190"        32 33 28 18 32 29 18)
    ("NarrowLydian190"         30 30 30 20 30 30 20)
    ("Large Dorian 136"        24 8 16 8 24 24 8 24)
    ("Melodic Minor 136"       23 10 23 24 23 20 13)
    ("Harmonic171 8-15"        29 26 24 21 20 18 17 16)
    ("Harmonic 7n 171 8-14"    29 26 24 21 20 18 33)
    ("Harmonic 6n 171 8-14"    29 26 24 21 38 33)
    ("5-note Equal"            1 1 1 1 1)
    ("7-note Equal"            1 1 1 1 1 1 1)
    ("8-note Equal"            1 1 1 1 1 1 1 1)
    ("9-note Equal"            1 1 1 1 1 1 1 1 1)
    ("10-note Equal"           1 1 1 1 1 1 1 1 1 1)
    ("11-note Equal"           1 1 1 1 1 1 1 1 1 1 1)
    ("12-note Equal"           1 1 1 1 1 1 1 1 1 1 1 1)
    ("17-note Equal"           1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1)
    ("19-note Equal"           1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1)
    ))

; name of scale, then its modulus, then its notes
(define scale-list-2
  '(
    ("row 9" 12  0  3 11  2 10  8  5  1  4  9  6  7)
    ("row 8" 12  0  3  6  2  9  4  5 11 10  8  1  7)
    ("row 7" 12  0  2  8 11  7  3  4 10  9  6  1  5)
    ("row 6" 12  0  1  8 10  7  5  2  9 11  6  3  4)
    ("row 5" 12  0 10  6  9  5  2 11  8  7  4  1  3)
    ("row 4" 12  0  8  5  7  4  1 10  6  9  3 11  2)
    ("row 3" 12  0  9  2  6  4 10 11  5  7  3  8  1)
    ("row 2" 12  0  6  3  5  2 11  8  4  7  1  9 10)
    ("row 1" 12  0  4  1  3  8 11  5  2  9  7 10  6)
    
    ("mof8"  12  0  4 11  6  8  2  3  5  7 10  1  9)
    ("mof7"  12  0  4 11  5  8  1  3 10  7  9  6  2)
    ("mof6A" 12  0  4 10  5  8  1  2 11  6  9  7  3)
    ("mof6B" 12  0  4  9  6  8  2  1 11  5 10  7  3)
    ("mof5"  12  0  4  7  5  8  1 11  6  3  9  2 10)
    ("mof4A" 12  0  4  7  2  8 10 11  5  3  6  1  9)
    ("mof4B" 12  0  4  7  2  8 10 11  1  3  6  9  5)
    ("mof3"  12  0  4  6  3  8 11 10  5  2  7  1  9)
    ("mof2A" 12  0  4  1 10  8  6  5 11  9  2  7  3)
    ("mof2B" 12  0  4  1 10  8  6  5  3  9  2 11  7)

    ("mallalieu" 12 0 1 4 2 9 5 11 3 8 10 7 6)
    ))

; return a list whose first element is the scale's modulus
; and whose remaining elements are its notes
(define (intervals->notes is)
  (let recur ((is is)
              (ns '(0)))
    (if (null? is)
        (cons (car ns)             ; modulus
              (reverse (cdr ns)))  ; notes
        (recur (cdr is)
          (cons (+ (car ns) (car is))
                ns)))))

; lst is not empty
; return list of results of calling f on pairs of elements of lst:
;    first and second, second and third, ..., last and first
; result has same length as lst (so, when lst has one element, x,
;    result is a list with the single element (f x x))
(define (map2 f lst)
  (let ((a (car lst)))
    (let recur ((lst lst))
      (if (null? (cdr lst))
          (list (f (car lst) a))
          (cons (f (car lst) (cadr lst))
                (recur (cdr lst)))))))

; like map2, except don't call f on last and first
; result is therefore shorter than lst by one
(define (map2a f lst)
  (if (null? (cdr lst))
      '()
      (cons (f (car lst) (cadr lst))
            (map2a f (cdr lst)))))

(define (notes->intervals ns)
  (map2 interval ns))

(define (divide-by-gcd lst)
  (let ((k (apply gcd lst)))
    (map (lambda (j) (/ j k))
         lst)))

; first element of scale is the modulus, rest are the notes
; same for return value
(define (normalize scale)
  (divide-by-gcd (cons (car scale) (least-rotation (car scale) (cdr scale)))))

; maps modulus-prefixed scale to name
(define known-scales (make-hash))

; first element of scale is its modulus, rest are its notes
(define (add-scale name scale)
  (let ((normalized-scale (normalize scale)))
    (hash-update! known-scales normalized-scale
                  (lambda (x) (or x name))
                  #f)))

; first element of scale is its modulus, rest are its notes
(define (add-scale-and-inverse name scale)
  (let ((m (car scale))
        (notes (cdr scale)))
    (add-scale name scale)
    (add-scale (string-append name "*") (cons m (invert-scale m notes)))))

; first element of s is scale's name, rest are its intervals
(define (add-scale-from-intervals s)
  (add-scale-and-inverse (car s) (intervals->notes (cdr s))))

; first element of s is scale's name, next is its modulus, rest are its notes
(define (add-scale-from-notes s)
  (add-scale-and-inverse (car s) (cdr s)))

(for-each add-scale-from-intervals scale-list-1)
(for-each add-scale-from-notes     scale-list-2)

; first element of scale is the modulus, rest are the notes
; return value is just notes
(define (convert-to-mod-1 scale)
  (map (lambda (n) (/ n (car scale)))
       (cdr scale)))

(define (interval-1 a b)
  (mod (- b a) 1))

; transpose note n by k, where modulus is 1
(define (transpose-note-1 n k)
  (mod (+ n k) 1))

; transpose scale s by k, where modulus is 1
(define (transpose-scale-1 s k)
  (map (lambda (n) (transpose-note-1 n k))
       s))

; s is mod 1
(define (rotate-scale-1 s)
  (let ((t (append (cdr s) (list (car s)))))
    (transpose-scale-1 t (- (car t)))))

; scale is mod 1
(define (all-rotations-1 scale)
  (let recur ((n (- (length scale) 1))
              (rs (list (rotate-scale-1 scale))))
    (if (zero? n)
        rs
        (recur (- n 1) (cons (rotate-scale-1 (car rs)) rs)))))

; s1 and s2 are mod 1 and have the same length
; return the largest difference between any two corresponding
;   notes of scales s1 and s2 (i.e., the first notes of the two
;   scales, or their second notes, or third, etc.), if the scales
;   are transposed so as to minimize that largest difference
(define (scale-difference s1 s2)
  (let* ((intervals (map interval-1 s1 s2))
         (interval-diffs (filter positive? (map2 interval-1 (sort intervals >)))))
    (if (null? interval-diffs)
        0
        (/ (apply min interval-diffs) 2))))

; s1 and s2 are mod 1 and have the same length
; return least difference between any rotation of s1 and any rotation of s2
(define (least-scale-difference s1 s2)
  (apply min (map (lambda (s) (scale-difference s1 s))
                  (all-rotations-1 s2))))

(define (min-scorers-w-score f lst)
  (let* ((scored-lst (map (lambda (x) (cons (f x) x))
                          lst))
         (min-score (foldl (lambda (x a) (min a (car x)))
                      (caar scored-lst) (cdr scored-lst))))
    (filter (lambda (x) (equal? (car x) min-score))
            scored-lst)))

; return a list of those items x of lst for which (f x) is least
(define (min-scorers f lst)
  (map cdr (min-scorers-w-score f lst)))

; return a possibly-empty list of the nearest scales to scale
; each element of the return value has the form: (difference scale . scale-name)
(define (nearest-known-scales scale)
  (let* ((len (length scale))
         (scales (filter (lambda (s-n) (= len (length (cdar s-n))))
                         (hash->list known-scales))))
    (if (null? scales)
        '()
        (let ((s (convert-to-mod-1 (cons modulus scale))))
          (min-scorers-w-score (lambda (s-n)
                                 (least-scale-difference s (convert-to-mod-1 (car s-n))))
                               scales)))))

(define (scale-name s)
  (let ((ss (nearest-known-scales s))
        (d (/ scale-tolerance 1200)))
    (if (null? ss)
        #f
        (let ((diff (caar ss))
              (name (cddar ss)))
          (cond
            ((> diff d) #f)
            ((zero? diff) name)
            (else (string-append name " [" (number->string (round (* diff 1200))) "]")))))))

; list of transpositions of scale where the first note,
; then the second, then the third, etc. becomes n
(define (all-transpositions-to m scale n)
  (map (lambda (k) (transpose-scale m scale (- n k)))
       scale))

(define (sort-numbers lst)
  (sort lst <))

(define (all-transpositions scale)
  (build-list modulus (lambda (i) (sort-numbers (transpose-scale modulus scale i)))))

(define (all-transformations scale)
  (append (all-transpositions scale)
          (all-transpositions (invert-scale modulus scale))))

; x and y are lists of numbers, each in increasing order
; is x a subset of y?
(define (subset? x y)
  (cond
    ((null? x) #t)
    ((null? y) #f)
    ((< (car x) (car y)) #f)
    ((< (car y) (car x)) (subset? x (cdr y)))
    (else (subset? (cdr x) (cdr y)))))

; x and y are lists of numbers, each in increasing order and containing no duplicates
; result satisfies the same conditions
(define (intersection x y)
  (cond
    ((or (null? x) (null? y)) '())
    ((< (car x) (car y)) (intersection (cdr x) y))
    ((< (car y) (car x)) (intersection x (cdr y)))
    (else (cons (car x) (intersection (cdr x) (cdr y))))))

; x and y are lists of numbers, each in increasing order and containing no duplicates
; result satisfies the same conditions
(define (set-difference x y)
  (cond
    ((null? x) '())
    ((null? y) x)
    ((< (car x) (car y)) (cons (car x) (set-difference (cdr x) y)))
    ((< (car y) (car x)) (set-difference x (cdr y)))
    (else (set-difference (cdr x) (cdr y)))))

; x and y are lists of numbers, each in increasing order and containing no duplicates
; result satisfies the same conditions
(define (symmetric-difference x y)
  (cond
    ((null? x) y)
    ((null? y) x)
    ((< (car x) (car y)) (cons (car x) (symmetric-difference (cdr x) y)))
    ((< (car y) (car x)) (cons (car y) (symmetric-difference x (cdr y))))
    (else (symmetric-difference (cdr x) (cdr y)))))

; x, y and common are lists of numbers, each in increasing order and containing no duplicates
(define (complement? x y common n)
  (<= (length (set-difference (intersection x y) common))
      n))

; first element of each scale is its modulus, rest are its notes.
; return the two scales after converting them to have the same modulus.
(define (convert-to-same-modulus scale-1 scale-2)
  (let ((m1 (car scale-1))
        (m2 (car scale-2)))
    (let ((m3 (lcm m1 m2)))
      (let ((k1 (/ m3 m1))
            (k2 (/ m3 m2)))
        (values (map (lambda (n) (* n k1))
                     scale-1)
                (map (lambda (n) (* n k2))
                     scale-2))))))

; subset is in increasing order
; return a list of 3-element lists,
;   each sublist consisting of (1) the subset,
;   (2) the name of a superset, and (3) a list of modes
;   of that superset.  Each elements of (3) might be #f
;   instead of a mode.  A mode is a list of numbers.
(define (known-supersets subset)
  (let ((subset1 (divide-by-gcd subset)))
    (hash-map known-scales
              (lambda (scale name)
                (let-values (((subset2 scale2) (convert-to-same-modulus subset1 scale)))
                  (let ((notes (cdr subset2)))
                    (list subset2 name
                          (map (lambda (s)
                                 (and (subset? notes (sort s <))
                                      s))
                               (all-transpositions-to (car scale2) (cdr scale2) (car notes))))))))))

; first element of scale is the modulus, rest are the notes
(define (print-known-supersets scale)
  (let* ((ss (known-supersets scale))
         (ss2 (filter (lambda (x) (ormap values (third x)))
                      ss))
         (ss3 (map (lambda (x) (list (first x) (second x) (filter values (third x))))
                   ss2)))
    (if (null? ss3)
        (display "given scale is not a subset of any known scale\n\n")
        (for-each (lambda (x)
                    (let ((subset (first x))
                          (name (second x))
                          (modes (third x)))
                      (display "given scale, ")
                      (display (cdr subset))
                      (display " mod ")
                      (display (car subset))
                      (display ", is a subset of these modes of ")
                      (display name)
                      (display ":\n")
                      (for-each (lambda (mode)
                                  (display "   ")
                                  (display mode)
                                  (newline))
                                modes)
                      (newline)))
                  ss3))))

(define (preprocess-cell c)
  (let* ((range (- (car c) 1))
         (normal (cdr c))
         (inverted (invert-scale modulus normal))
         (len (- (length normal) 1)))
    (list range len normal inverted)))

; extract the parts of a preprocessed cell
(define cell-range    first)
(define cell-len      second)
(define cell-normal   third)
(define cell-inverted fourth)

(define (vector-increment! v i)
  (vector-set! v i (+ 1 (vector-ref v i))))

; measures the extent to which letters are repeated
(define (repetitiveness x)  ; x: list of name codes
  (let ((v (make-vector 7 0)))
    (for-each (lambda (c) (vector-increment! v (car c)))
      x)
    (apply + (map (lambda (x) (* x x))
                  (vector->list v)))))

; number of flats or number of sharps, whichever is smaller
(define (inconsistency x)  ; x: list of name codes
  (let ((v (make-vector 3 0)))
    (for-each (lambda (c) (vector-increment! v (+ 1 (cadr c))))
      x)
    (min (vector-ref v 0)
         (vector-ref v 2))))

(define (best-spellings scale)
  (let* ((all-spellings (apply cartesian-product
                          (map (lambda (n) (vector-ref name-codes n))
                               scale)))
         (best (min-scorers inconsistency
                 (min-scorers repetitiveness all-spellings))))
    (map (lambda (scale) (map code->name scale))
         best)))

(define (display-spellings s)
  (let ((spellings (best-spellings s)))
    (for-each (lambda (x) (display x) (newline))
      (if multiple-spellings
          spellings
          (list (car spellings))))))

; return a list of lists, such that appending
; them all together yields lst, and such that,
; if p and q are any two elements of the same
; list, (f p) equals (f q)
; 
; e.g.
; (split (lambda (n) (modulo n 10))
;        '(1 11 21 22 12 0 1 2 5 25 15 35))
; yields ((1 11 21) (22 12) (0) (1) (2) (5 25 15 35))
(define (split f lst)
  (if (null? lst)
      '()
      (let recur ((lst (cdr lst))
                  (a '())              ; list of lists
                  (b (list (car lst))) ; list
                  (x (f (car lst))))
        (if (null? lst)
           (reverse (cons (reverse b) a))
           (let ((y (f (car lst))))
             (if (equal? x y)
                 (recur (cdr lst)           a          (cons (car lst) b) y)
                 (recur (cdr lst) (cons (reverse b) a)  (list (car lst))  y)))))))

; return a list of lists, each of which is of length n
; and the elements of which are taken, in order, from lst.
; the last list ends in enough elements equal to filler
; to bring its length up to n.
(define (split-n n lst filler)
  (let recur ((lst lst)
              (a '()) ; list of lists
              (b '()) ; list
              (k 0))  ; length of b
    (cond
      ((= k n)
       (recur lst (cons (reverse b) a) '() 0))
      ((and (null? lst) (zero? k))
       (reverse a))
      ((null? lst)
       (recur lst a (cons filler b) (+ 1 k)))
      (else
       (recur (cdr lst) a (cons (car lst) b) (+ 1 k))))))

(define (display-scale-numbers s)
  (display s))

(define (display-scale-letters s)
  (display (car (best-spellings (case modulus
                                  ((12) (map (lambda (n) (* n 2)) s))
                                  ((24) s))))))

(define (display-scale-intervals s)
  (let ((x (notes->intervals s)))
    (display (append x x))))

(define (display-scale-keyboard s)
  (let ((n-keys (length keyboard-notes)))
    (let recur ((s s)
                (offset 0))
      (when (pair? s)
        (let* ((note (car s))
               (key (+ (vector-ref keyboard note)
                       offset
                       (if (>= note first-note) 0 n-keys))))
          (if (< key 12)
              (begin (display key) (display " " ) (recur (cdr s) offset))
              (begin               (display "| ") (recur s (- offset 12)))))))))

(define (display-scale s quit)
  (when please-stop
    (newline)
    (displayln "printing interrupted")
    (quit))
  (let ((name (scale-name s)))
    (when name (displayln name)))
  (display "notes: ")
  (display-scale-numbers s)
  (newline)
  (display "intervals: ")
  (display-scale-intervals s)
  (newline)
  (case modulus
    ((12) (display-spellings (map (lambda (n) (* n 2)) s)))
    ((24) (display-spellings s)))
  (when (> modulus 12)
    (display-scale-keyboard s)
    (newline))
  (display "number of wolves: ")
  (display (count-all-wolves s))
  (newline))

(define (display-scales ss)
  (call/cc (lambda (c)
             (for-each (lambda (s)
                         (display-scale s c)
                         (newline))
                       ss))))

(define (equalize-heights row)
  (let ((height (apply max (map length row))))
    (map (lambda (group)
           (append group (build-list (- height (length group))
                                     (lambda (n) ""))))
         row)))

; scales: list of scales
(define (display-scales-columns scales)
  (let* ((stringify (lambda (scale)
                      (with-output-to-string
                          (lambda ()
                            (let ((f (case output-format
                                       (("numbers")   display-scale-numbers)
                                       (("letters")   (if (member modulus '(12 24))
                                                          display-scale-letters
                                                          display-scale-numbers))
                                       (("intervals") display-scale-intervals)
                                       (("keyboard")  display-scale-keyboard))))
                              (f scale))))))

         ; list of groups, each of which is a list of scales
         (rotation-groups (split least-rotation-m scales))

         ; same, except with each scale converted to a string
         ; also, add name if it has one
         (groups (map (lambda (group)
                        (let ((scale-strings (map stringify group))
                              (name (scale-name (car group))))
                          (if name (cons name scale-strings) scale-strings)))
                      rotation-groups))

         ; list of rows, each of which is a list of groups.
         ; the number of groups in each row is column-count.
         ; the groups of a row will be displayed left to right.
         ; rows will be displayed top to bottom.
         (rows (split-n column-count groups '("")))

         ; list of column widths.
         ; each is the length of the longest string in that column.
         (column-widths (if (null? rows)
                            '()
                            (apply map (lambda column (apply max (map string-length (flatten column))))
                                   rows))))
    (define (display-line strs)
      (for-each (lambda (str width)
                  (display str)
                  (display (padding str width)))
                strs
                (map (lambda (n) (+ n 2)) column-widths)))

    (define (display-row r)
      (apply for-each (lambda line
                        (display-line line)
                        (newline))
             (equalize-heights r)))

    (for-each (lambda (r)
                (display-row r)
                (newline))
              rows)))

(define (print-scales scales)
  (let ((sorted-scales ((apply compose1 (map scale-sorter sort-order)) scales)))
    (if multi-column
        (display-scales-columns sorted-scales)
        (display-scales sorted-scales))))

(define (display-note n)
  (display n)
  (case modulus
    ((12) (display " ") (display (vector-ref note-names (* n 2))))
    ((24) (display " ") (display (vector-ref note-names n)))))

(define (display-any x)
  (cond
    ((number? x)                     (display-note x))
    ((and (pair? x) (pair? (car x))) (display-scales x))
    ((pair? x)                       (display-scale x))))

(define (display-now x)
  (display x)
  (flush-output))

(define found!
  (let ((then (current-seconds)))
    (lambda (s)
      (set! found-scales (cons s found-scales))
      (let ((now (current-seconds)))
        (when (> now then)
          (set! then now)
          (display-now #\.))))))

; notes is a list of allowable notes, in increasing order
; notes-len is the length of notes
; scale is the scale so far, in decreasing order
; scale-len is the length of scale
; n-wolf is the number of wolf intervals in scale
; n-balance is the number of notes in scale that are in balance-notes
; n-bad-cell is the number of occurrences in scale of bad cells
; n-good-cell is the number of occurrences in scale of good cells
; n-bad-interval is the number of occurrences in scale of bad intervals
; n-good-interval is the number of occurrences in scale of good intervals

; call found! for every scale that follows the rules and
;   which can be made by adding to 'scale' any number (> 0)
;   of notes from 'notes'
(define (find-scales notes notes-len scale scale-len n-wolf n-balance n-bad-cell n-good-cell n-bad-interval n-good-interval)
  (when (and (not please-stop)
             (positive? notes-len)
             (< scale-len length-max)
             (>= (+ scale-len notes-len) length-min))
    (let ((n (car notes))
          (notes (cdr notes))
          (notes-len (- notes-len 1)))
      (when (not (member n required-notes))
        (find-scales notes notes-len scale scale-len n-wolf n-balance n-bad-cell n-good-cell n-bad-interval n-good-interval))
      (when (and (allowed-intervals-ok? n scale)
                 (distances-ok? n scale scale-len))
        (let ((n-wolf (+ n-wolf (count-wolves n scale)))
              (n-bad-cell (+ n-bad-cell (count-cells bad-cells n scale scale-len)))
              (n-bad-interval (+ n-bad-interval (count-intervals bad-intervals n scale))))
          (when (and (<= n-wolf wolf-max)
                     (<= n-bad-cell bad-cell-max)
                     (<= n-bad-interval bad-interval-max))
            (let ((n-balance (+ n-balance (if (member n balance-notes) 1 0)))
                  (n-good-cell (+ n-good-cell (count-cells good-cells n scale scale-len)))
                  (n-good-interval (+ n-good-interval (count-intervals good-intervals n scale)))
                  (scale (cons n scale))
                  (scale-len (+ 1 scale-len)))
              (find-scales notes notes-len scale scale-len n-wolf n-balance n-bad-cell n-good-cell n-bad-interval n-good-interval)
              (when (and (>= scale-len length-min)
                         (>= n-wolf wolf-min)
                         (balance-ok? scale-len n-balance)
                         (contains-required-notes? scale)
                         (final-distances-ok? scale)
                         (final-allowed-intervals-ok? scale)
                         (<= (+ n-bad-cell (final-count-cells bad-cells scale scale-len))
                             bad-cell-max)
                         (>= (+ n-good-cell (final-count-cells good-cells scale scale-len))
                             good-cell-min)
                         (<= (+ n-bad-interval (final-count-intervals bad-intervals scale))
                             bad-interval-max)
                         (>= (+ n-good-interval (final-count-intervals good-intervals scale))
                             good-interval-min))
                (found! (reverse scale))))))))))

(define (count-intervals intervals n scale)
  (if (member (interval (car scale) n) intervals)
      1
      0))

(define (final-count-intervals intervals scale)
  (count-intervals intervals first-note scale))

(define (contains-required-notes? scale)
  (subset? required-notes (sort scale <)))

(define (distances-ok? n scale len)
  (and (>= (interval (car scale) n) distance-2-min)
       (or (<= len 1)
           (and (>= (interval (cadr scale) n) distance-3-min)
                (>= (interval n (list-ref scale (- len 2))) distance-3-min)))))

(define (final-distances-ok? scale)
  (and (>= (interval (car scale) first-note) distance-2-min)
       (>= (interval (cadr scale) first-note) distance-3-min)))

(define (allowed-intervals-ok? n scale)
  (or (null? allowed-intervals)
      (member (interval (car scale) n)
        allowed-intervals)))

(define (final-allowed-intervals-ok? scale)
  (or (null? allowed-intervals)
      (and (member (interval (car scale) first-note)
             allowed-intervals)
           (if require-all-allowed-intervals
               (let ((intervals (notes->intervals (reverse scale))))
                 (andmap (lambda (i) (member i intervals))
                   allowed-intervals))
               #t))))

(define (count-cells-1 c note scale len)
  (if (< len (cell-len c))
      0
      (let ((notes (sort-numbers (cons note (take scale (min len (cell-range c))))))
            (cell-transpositions (map sort-numbers
                                      (append (all-transpositions-to modulus (cell-normal   c) note)
                                              (all-transpositions-to modulus (cell-inverted c) note)))))
        (count (lambda (ct) (subset? ct notes))
               cell-transpositions))))

(define (count-cells cells note scale len)
  (apply + (map (lambda (c) (count-cells-1 c note scale len))
                cells)))

(define (final-count-cells-1 c ss len)
  (let ((r (min (cell-range c) (- len 1))))
    (let recur ((s (list-tail ss (- len r)))
                (i r))
      (if (<= i 0)
          0
          (+ (count-cells-1 c (car s) (cdr s) (- len 1))
             (recur (cdr s) (- i 1)))))))

(define (final-count-cells cells scale len)
  (let ((ss (append scale scale)))
    (apply + (map (lambda (c) (final-count-cells-1 c ss len))
                  cells))))

(define (count-wolves n scale)
  (foldl (lambda (note sum)
               (+ sum
                  (if (member (interval note n) wolves) 1 0)
                  (if (member (interval n note) wolves) 1 0)))
    0 scale))

(define (balance-ok? scale-len n-balance)
  (<= balance-in-min n-balance (- scale-len balance-out-min)))

(define (count-all-wolves scale)
  (if (null? scale)
      0
      (+ (count-wolves (car scale) (cdr scale))
         (count-all-wolves (cdr scale)))))

(define (count-balance-out scale)
  (apply + (map (lambda (note) (if (member note balance-notes) 0 1))
                scale)))

(define (least-distance-3 s)
  (let ((t (append (cddr s) (list (car s) (cadr s)))))
    (apply min (map interval s t))))

; r is a pair of numbers, and represents
; the half-open interval between them
(define (in-range x r)
  (and (<= (car r) x) (< x (cdr r))))

; does a precede b in the scale?
; it's more complicated than simply (< a b)
; because the scale starts at first-note and
; goes up to modulus, then wraps around to 0
; and continues up to first-note.
(define (note-comparer)
  (let ((p (cons first-note modulus))
        (q (cons 0 first-note)))
    (lambda (a b)
      (cond
        ((and (in-range a p) (in-range b q)) #t)
        ((and (in-range b p) (in-range a q)) #f)
        (else (< a b))))))
  
; list of scales, each of which is 'scale' plus one allowed note
(define (with-extra-note scale)
  (map (lambda (n) (sort (cons n scale) (note-comparer)))
       allowed-notes))

(define (scale-complete? scale ss)
  (not (ormap (lambda (s)
                (set-member? ss s))
         (with-extra-note scale))))

(define (remove-incompletes scales)
  (let ((ss (list->set scales)))
    (filter (lambda (s)
              (scale-complete? s ss))
      scales)))

(define (make-keyboard)
  (let ((v (make-vector modulus 'bug)))
    (let recur ((notes keyboard-notes)
                (key 0))
      (when (pair? notes)
        (vector-set! v (car notes) key)
        (recur (cdr notes) (+ 1 key))))
    v))

(define (initialize-keyboard no-keyboard)
  (when no-keyboard
    (set! first-note 0))
  (set! keyboard-notes (if (or no-keyboard (null? keyboard-notes-raw))
                           (build-list modulus values)
                           keyboard-notes-raw))
  (set! keyboard (make-keyboard)))

(define (generate)
  (copy-settings-from-gui-to-vars)
  (initialize-keyboard #f)
  (set! first-note (modulo first-note modulus))
  (set! required-notes (sort required-notes <))
  (display-settings 1)
  (display-now "finding scales...")
  (set! allowed-notes (filter (lambda (n) (and (member n keyboard-notes)
                                               (not (member n forbidden-notes))))
                              (build-list (- modulus 1)
                                          (lambda (n) (modulo (+ first-note 1 n) modulus)))))
  (set! good-cells (map preprocess-cell good-cells-raw))
  (set! bad-cells  (map preprocess-cell  bad-cells-raw))
  (set! found-scales '())
  (find-scales allowed-notes (length allowed-notes) (list first-note) 1
               0 (if (member first-note balance-notes) 1 0) 0 0 0 0)
  (if please-stop
      (displayln "interrupted")
      (begin
        (displayln "done")
        (when require-completeness
          (display-now "removing incomplete scales...")
          (set! found-scales (remove-incompletes found-scales))
          (displayln "done"))))
  (newline)
  (let ((n-scale (length found-scales)))
    (display "number of scales found: ")
    (displayln n-scale)
    (newline)
    (set! please-stop #f)
    (print-scales (if (<= n-scale scales-max)
                      found-scales
                      (random-sample found-scales scales-max #:replacement? #f)))))

; scales is a list of pairs, each of which is (modulus-prefixed-list-of-notes . name)
(define (list-scales scales)
  (let* ((ss (sort scales (comparer <) #:key car))
         (notes-list (map (lambda (scale)
                            (with-output-to-string
                                (lambda () (display (car scale)))))
                          ss))
         (name-list (map cdr ss))
         (len (+ 1 (apply max (map string-length notes-list)))))
    (for-each (lambda (notes name)
                (display notes)
                (display (padding notes len))
                (displayln name))
              notes-list
              name-list)
    (newline)))

(define (print-identification m s)
  (let ((t (if reorder-notes (sort-numbers s) s)))
    (if display-supersets
        (print-known-supersets (cons m t))
        (print-scales (all-rotations m t)))))

; scale is a modulus-prefixed list of notes
(define (identify-scale scale)
  (let ((m (car scale))
        (s (cdr scale)))
    (set! modulus m)  ; yuck
    (initialize-keyboard #t)
    (display-settings 2)
    (print-identification m s)))

(define (convert-to-list str)
  (nest-appropriately str 'list))

(define (identify)
  (copy-settings-from-gui-to-vars)
  (case scale-interpretation
    (("notes")     (identify-scale (cons modulus (convert-to-list scale-contents2))))
    (("intervals") (identify-scale (intervals->notes (convert-to-list scale-contents2))))
    (("name")      (let* ((name (string-foldcase scale-contents2))
                          (scales (filter (lambda (s) (string-contains? (string-foldcase (cdr s)) name))
                                          (hash->list known-scales))))
                     (cond
                       ((null? scales) (display "no scale contains '")
                                       (display name)
                                       (displayln "' in its name")
                                       (newline))
                       ((null? (cdr scales)) (identify-scale (caar scales)))
                       (else (let ((exact-matches (filter (lambda (s) (string-ci=? (cdr s) name))
                                                          scales)))
                               (if (null? exact-matches)
                                   (list-scales scales)
                                   (identify-scale (caar exact-matches))))))))))

(define (list-known-scales)
  (list-scales (hash->list known-scales)))

(define (display-complements-from f scales)
  (print-scales
   (remove-duplicates
    (filter (lambda (s)
              (complement? s scale-contents3 common-notes max-additional-common-notes))
            (apply append (map f scales))))))

(define (complement)
  (copy-settings-from-gui-to-vars)
  (initialize-keyboard #t)
  (set! common-notes (sort common-notes <))
  (set! scale-contents3 (sort scale-contents3 <))
  (display-settings 3)
  (case complement-source
    (("the scale above") (display-complements-from all-transformations (list scale-contents3)))
    (("all named scales") (display-complements-from all-transpositions
                           (map cdr (filter (lambda (s) (= modulus (car s)))
                                            (hash-keys known-scales)))))))

; optional name (a string), then modulus, then notes
(define mapping-table-list
  '(
    ("row 9" 12  0  3 11  2 10  8  5  1  4  9  6  7)
    ("row 8" 12  0  3  6  2  9  4  5 11 10  8  1  7)
    ("row 7" 12  0  2  8 11  7  3  4 10  9  6  1  5)
    ("row 6" 12  0  1  8 10  7  5  2  9 11  6  3  4)
    ("row 5" 12  0 10  6  9  5  2 11  8  7  4  1  3)
    ("row 4" 12  0  8  5  7  4  1 10  6  9  3 11  2)
    ("row 3" 12  0  9  2  6  4 10 11  5  7  3  8  1)
    ("row 2" 12  0  6  3  5  2 11  8  4  7  1  9 10)
    ("row 1" 12  0  4  1  3  8 11  5  2  9  7 10  6)
    
    ("mof8"  12  0  4 11  6  8  2  3  5  7 10  1  9)
    ("mof7"  12  0  4 11  5  8  1  3 10  7  9  6  2)
    ("mof6A" 12  0  4 10  5  8  1  2 11  6  9  7  3)
    ("mof6B" 12  0  4  9  6  8  2  1 11  5 10  7  3)
    ("mof5"  12  0  4  7  5  8  1 11  6  3  9  2 10)
    ("mof4A" 12  0  4  7  2  8 10 11  5  3  6  1  9)
    ("mof4B" 12  0  4  7  2  8 10 11  1  3  6  9  5)
    ("mof3"  12  0  4  6  3  8 11 10  5  2  7  1  9)
    ("mof2A" 12  0  4  1 10  8  6  5 11  9  2  7  3)
    ("mof2B" 12  0  4  1 10  8  6  5  3  9  2 11  7)
    
    (171
     0   148 125 102 79  56  33  10  158 135 112 89
     66  43  20  168 145 122 99  76  53  30  7   155
     132 109 86  63  40  17  165 142 119 96  73  50
     27  4   152 129 106 83  60  37  14  162 139 116 
     93  70  47  24  1   149 126 103 80  57  34  11  
     159 136 113 90  67  44  21  169 146 123 100 77)
    
    (171
     0   147 123 99  75  51  27  3   150 126 102 78  
     54  30  6   153 129 105 81  57  33  9   156 132 
     108 84  60  36  12  159 135 111 87  63  39  15  
     162 138 114 90  66  42  18  165 141 117 93  69  
     45  21  168 144 120 96  72  48  24  0   147 123 
     99  75  51  27  3   150 126 102 78  54  30  6)
    
    (171
     0   146 121 96  71  46  21  167 142 117 92  67
     42  17  163 138 113 88  63  38  13  159 134 109 
     84  59  34  9   155 130 105 80  55  30  5   151 
     126 101 76  51  26  1   147 122 97  72  47  22  
     168 143 118 93  68  43  18  164 139 114 89  64  
     39  14  160 135 110 85  60  35  10  156 131 106)
    
    (171
     0   144 117 90  63  36  9   153 126 99  72  45  
     18  162 135 108 81  54  27  0   144 117 90  63  
     36  9   153 126 99  72  45  18  162 135 108 81  
     54  27  0   144 117 90  63  36  9   153 126 99  
     72  45  18  162 135 108 81  54  27  0   144 117 
     90  63  36  9   153 126 99  72  45  18  162 135)
    
    (171
     0   142 113 84  55  26  168 139 110 81  52  23  
     165 136 107 78  49  20  162 133 104 75  46  17  
     159 130 101 72  43  14  156 127 98  69  40  11  
     153 124 95  66  37  8   150 121 92  63  34  5   
     147 118 89  60  31  2   144 115 86  57  28  170 
     141 112 83  54  25  167 138 109 80  51  22  164)
    
    (171
     0   141 111 81  51  21  162 132 102 72  42  12  
     153 123 93  63  33  3   144 114 84  54  24  165 
     135 105 75  45  15  156 126 96  66  36  6   147 
     117 87  57  27  168 138 108 78  48  18  159 129 
     99  69  39  9   150 120 90  60  30  0   141 111 
     81  51  21  162 132 102 72  42  12  153 123 93)
    
    (171
     0   136 101 66  31  167 132 97  62  27  163 128 
     93  58  23  159 124 89  54  19  155 120 85  50  
     15  151 116 81  46  11  147 112 77  42  7   143 
     108 73  38  3   139 104 69  34  170 135 100 65  
     30  166 131 96  61  26  162 127 92  57  22  158 
     123 88  53  18  154 119 84  49  14  150 115 80)
    
    (171
     0   131 91  51  11  142 102 62  22  153 113 73  
     33  164 124 84  44  4   135 95  55  15  146 106 
     66  26  157 117 77  37  168 128 88  48  8   139 
     99  59  19  150 110 70  30  161 121 81  41  1   
     132 92  52  12  143 103 63  23  154 114 74  34  
     165 125 85  45  5   136 96  56  16  147 107 67)
    
    (171
     0   121 71  21  142 92  42  163 113 63  13  134 
     84  34  155 105 55  5   126 76  26  147 97  47  
     168 118 68  18  139 89  39  160 110 60  10  131 
     81  31  152 102 52  2   123 73  23  144 94  44  
     165 115 65  15  136 86  36  157 107 57  7   128 
     78  28  149 99  49  170 120 70  20  141 91  41)
    
    (171
     0   120 69  18  138 87  36  156 105 54  3   123 
     72  21  141 90  39  159 108 57  6   126 75  24  
     144 93  42  162 111 60  9   129 78  27  147 96  
     45  165 114 63  12  132 81  30  150 99  48  168 
     117 66  15  135 84  33  153 102 51  0   120 69  
     18  138 87  36  156 105 54  3   123 72  21  141)
    
    (171
     0   102 33  135 66  168 99  30  132 63  165 96  
     27  129 60  162 93  24  126 57  159 90  21  123 
     54  156 87  18  120 51  153 84  15  117 48  150 
     81  12  114 45  147 78  9   111 42  144 75  6   
     108 39  141 72  3   105 36  138 69  0   102 33  
     135 66  168 99  30  132 63  165 96  27  129 60)
    
    (171
     0   101 31  132 62  163 93  23  124 54  155 85     
     15  116 46  147 77  7   108 38  139 70  0   101 
     31  132 62  163 93  23  124 54  155 85  15  116  
     46  147 77  7   108 38  139 70  0   101 31  132 
     62  163 93  23  124 54  155 85  15  116 46  147                   
     77  7   108 38  139 70  0   101 31  132 62  163)
    
    (171
     0   100 30  130 60  160 90  19  120 49  150 79     
     9   109 39  139 70  0   100 30  130 60  160 90  
     19  120 49  150 79  9   109 39  139 70  0   100 
     30  130 60  160 90  19  120 49  150 79  9   109 
     39  139 70  0   100 30  130 60  160 90  19  120                   
     49  150 79  9   109 39  139 70  0   100 30  130)
    
    (171
     0   101 29  130 60  159 89  19  118 48  149 77     
     7   108 36  137 67  166 96  26  125 55  156 84
     14  115 43  144 74  2   103 33  132 62  163 91  
     21  122 50  151 81  9   110 40  139 70  0   101 
     29  130 60  159 89  19  118 48  149 77  7   108                       
     36  137 67  166 96  26  125 55  156 84  14  115)
    
    (171
     0   100 29  129 58  158 87  16  116 45  145 74      
     3   103 32  132 61  161 90  19  119 48  148 77  
     6   106 35  135 64  164 93  22  122 51  151 80  
     9   109 38  138 67  167 96  25  125 54  154 83  
     12  112 41  141 70  0   100 29  129 58  158 87   
     6   116 45  145 74  3   103 32  132 61  161 90)
    
    (171
     0   100 28  128 57  157 86  15  114 43  143 71      
     0   100 28  128 57  157 86  15  114 43  143 71   
     0   100 28  128 57  157 86  15  114 43  143 71 
     0   100 28  128 57  157 86  15  114 43  143 71 
     0   100 28  128 57  157 86  15  114 43  143 71
     0   100 28  128 57  157 86  15  114 43  143 71)
    
    (171
     0   99  27  126 54  153 81  9   108 36  135 63      
     162 90  18  117 45  144 72  0   99  27  126 54  
     153 81  9   108 36  135 63  162 90  18  117 45  
     144 72  0   99  27  126 54  153 81  9   108 36  
     135 63  162 90  18  117 45  144 72  0   99  27  
     126 54  153 81  9   108 36  135 63  162 90  18)
    
    (171
     0   97  23  120 46  143 69  166 92  18  115 41       
     138 64  161 87  13  110 36  133 59  156 82  8   
     105 31  128 54  151 77  3   100 26  123 49  146 
     72  169 95  21  118 44  141 67  164 90  16  113 
     39  136 62  159 85  11  108 34  131 57  154 80  
     6   103 29  126 52  149 75  0   97  23  120 46)
    
    (171
     0   90  9   99  18  108 27  117 36  126 45  135 
     54  144 63  153 72  162 81  0   90  9   99  18  
     108 27  117 36  126 45  135 54  144 63  153 72  
     162 81  0   90  9   99  18  108 27  117 36  126 
     45  135 54  144 63  153 72  162 81  0   90  9   
     99  18  108 27  117 36  126 45  135 54  144 63)
    
    (171
     0   72  144 45  117 18  90  162 63  135 36  108 
     9   81  153 54  126 27  99  0   72  144 45  117 
     18  90  162 63  135 36  108 9   81  153 54  126 
     27  99  0   72  144 45  117 18  90  162 63  135 
     36  108 9   81  153 54  126 27  99  0   72  144 
     45  117 18  90  162 63  135 36  108 9   81  153)
    
    (171
     0   66  132 27  93  159 54  120 15  81  147 42  
     108 3   69  135 30  96  162 57  123 18  84  150 
     45  111 6   72  138 33  99  165 60  126 21  87  
     153 48  114 9   75  141 36  102 168 63  129 24  
     90  156 51  117 12  78  144 39  105 0   66  132 
     27  93  159 54  120 15  81  147 42  108 3   69)
    
    (171
     0   51  102 153 33  84  135 15  66  117 168 48  
     99  150 30  81  132 12  63  114 165 45  96  147 
     27  78  129 9   60  111 162 42  93  144 24  75  
     126 6   57  108 159 39  90  141 21  72  123 3   
     54  105 156 36  87  138 18  69  120 0   51  102 
     153 33  84  135 15  66  117 168 48  99  150 30)
    
    (171
     0   50  100 150 29  79  129 8   58  108 158 37  
     87  137 16  66  116 166 45  95  145 24  74  124 
     3   53  103 153 32  82  132 11  61  111 161 40  
     90  140 19  69  119 169 48  98  148 27  77  127 
     6   56  106 156 35  85  135 14  64  114 164 43  
     93  143 22  72  122 1   51  101 151 30  80  130)
    
    (171
     0   40  80  120 160 29  69  109 149 18  58  98  
     138 7   47  87  127 167 36  76  116 156 25  65  
     105 145 14  54  94  134 3   43  83  123 163 32  
     72  112 152 21  61  101 141 10  50  90  130 170 
     39  79  119 159 28  68  108 148 17  57  97  137 
     6   46  86  126 166 35  75  115 155 24  64  104)
    
    (171
     0   35  70  105 140 4   39  74  109 144 8   43  
     78  113 148 12  47  82  117 152 16  51  86  121 
     156 20  55  90  125 160 24  59  94  129 164 28  
     63  98  133 168 32  67  102 137 1   36  71  106 
     141 5   40  75  110 145 9   44  79  114 149 13  
     48  83  118 153 17  52  87  122 157 21  56  91)
    
    (171
     0   25  50  75  100 125 150 4   29  54  79  104 
     129 154 8   33  58  83  108 133 158 12  37  62  
     87  112 137 162 16  41  66  91  116 141 166 20  
     45  70  95  120 145 170 24  49  74  99  124 149 
     3   28  53  78  103 128 153 7   32  57  82  107 
     132 157 11  36  61  86  111 136 161 15  40  65)
    
    (171
     0   24  48  72  96  120 144 168 21  45  69  93  
     117 141 165 18  42  66  90  114 138 162 15  39  
     63  87  111 135 159 12  36  60  84  108 132 156 
     9   33  57  81  105 129 153 6   30  54  78  102 
     126 150 3   27  51  75  99  123 147 0   24  48  
     72  96  120 144 168 21  45  69  93  117 141 165)
    
    (171
     0   23  46  69  92  115 138 161 13  36  59  82  
     105 128 151 3   26  49  72  95  118 141 164 16  
     39  62  85  108 131 154 6   29  52  75  98  121 
     144 167 19  42  65  88  111 134 157 9   32  55  
     78  101 124 147 170 22  45  68  91  114 137 160 
     12  35  58  81  104 127 150 2   25  48  71  94)
    ))

(define (common-prefix-len xs ys)
  (if (and (pair? xs)
           (pair? ys)
           (equal? (car xs) (car ys)))
      (+ 1 (common-prefix-len (cdr xs) (cdr ys)))
      0))

(define (make-name t len)
  (with-output-to-string
      (lambda ()
        (display "[")
        (if (string? (car t))
            (display (car t))
            (for-each display (add-between (take t len) " ")))
        (display "]"))))


(define (interleave xs ys)
  (cond
    ((null? xs) ys)
    ((null? ys) xs)
    (else (cons (car xs)
                (cons (car ys)
                      (interleave (cdr xs) (cdr ys)))))))

(define make-named-table cons)
(define table-name car)
(define table-vector cdr)

; vector of named-tables
; the table-vector of each contains mod-1 notes
(define mapping-tables
  (apply vector
         (let* ((nameless (filter (lambda (x) (not (string? (car x)))) mapping-table-list))
                (name-len (if (< (length nameless) 2)
                              3
                              (+ 1 (apply max (map2 common-prefix-len (sort nameless (comparer <)))))))
                (names (map (lambda (t) (make-name t name-len))
                            mapping-table-list))
                (named-tables (map (lambda (name table)
                                     (make-named-table name (apply vector (convert-to-mod-1 (if (string? (car table))
                                                                                                (cdr table)
                                                                                                table)))))
                                   names mapping-table-list)))
           (for-each (lambda (name)
                       (send (hash-ref gui-fields 'from-table) append name)
                       (send (hash-ref gui-fields 'to-table)   append name))
                     names)
           named-tables)))

(define (cycle-table n)
  (make-named-table n (apply vector (convert-to-mod-1 (cons modulus (build-list modulus (lambda (k) (mod (* k n) modulus))))))))

(define (distance a b)
  (min (interval-1 a b)
       (interval-1 b a)))

; index in vector v of note nearest to n
;    among the first len elements of v
(define (pos-in-vector n v len)
  (let recur ((i 0)
              (p #f)
              (min-d 1))
    (if (>= i len)
        p
        (let ((d (distance n (vector-ref v i))))
          (if (< d min-d)
              (recur (+ 1 i) i d)
              (recur (+ 1 i) p min-d))))))

(define (map-between-vectors note v1 v2)
  (round (* modulus (vector-ref v2 (pos-in-vector (/ note modulus) v1 (min (vector-length v1) (vector-length v2)))))))

(define (map-between-tables notes t1 t2)
  (cons (table-name t1)
        (cons (table-name t2)
              (map (lambda (n)
                     (map-between-vectors n (table-vector t1) (table-vector t2)))
                   notes))))

(define (arithmetic-series lo (hi lo) (step 1))
  (if (> lo hi)
      '()
      (cons lo (arithmetic-series (+ lo step) hi step))))

(define (compute-tables cycle table)
  (if (null? table)
      (map cycle-table (apply arithmetic-series cycle))
      (map (lambda (n) (vector-ref mapping-tables n)) table)))

(define (all-mappings notes)
  (map (lambda (args)
         (apply map-between-tables notes args))
       (cartesian-product (compute-tables from-cycle from-table)
                          (compute-tables   to-cycle   to-table))))

(define (display-motif m)
  (display (car m))
  (display "->")
  (display (cadr m))
  (display ": ")
  (display (cddr m))
  (newline))

(define (boulez-multiply xs ys swap-args)
  (let ((xs (if swap-args ys xs))
        (ys (if swap-args xs ys)))
    (map (lambda (y+x)
           (apply transpose-note modulus y+x))
         (cartesian-product ys xs))))

(define (mapbc-then-multiply multiplier swap-args)
  (map (lambda (mapped-motif)
         (cons (car mapped-motif)
               (cons (cadr mapped-motif)
                     (boulez-multiply (cddr mapped-motif) multiplier swap-args))))
       (all-mappings motif)))

(define (multiply-then-mapbc multiplier swap-args)
  (all-mappings (boulez-multiply motif multiplier swap-args)))

(define (mapbc-and-multiply multiplier swap-args)
  ((if (equal? mm-order "map, then multiply")
       mapbc-then-multiply
       multiply-then-mapbc)
   multiplier swap-args))

(define (mmm)
  (copy-settings-from-gui-to-vars)
  (initialize-keyboard #t)
  (display-settings 4)
  (let* ((multiplier (if multiplier-special
                         (build-list (third multiplier)
                                     (lambda (n)
                                       (+ (first multiplier) (* n (second multiplier)))))
                         multiplier))
         (results 'whatever)
         (p (lambda (b)
              (set! results (mapbc-and-multiply multiplier b))
              (for-each display-motif results))))
    (when (member multiplicand-order '("motif times multiplier" "both"))
      (p #f))
    (when (equal? multiplicand-order "both")
      (newline))
    (when (member multiplicand-order '("multiplier times motif" "both"))
      (p #t))
    (when identify-results
      (newline)
      (newline)
      (for-each (lambda (result)
                  (display-motif result)
                  (newline)
                  (print-identification modulus (cddr result))
                  (newline))
                results))))

(define (positions->spacing positions)
  ((if wrap-spacing map2 map2a)
   (lambda (a b) (modulo (- b a) spacing-row-length))
   positions))

; row is a list of distinct notes
; return a function which, given any element of row,
;   returns the position where it occurs in row
(define (position-func row)
  (let ((v (make-vector modulus)))
    (let recur ((row row)
                (n 0))
      (when (pair? row)
        (vector-set! v (car row) n)
        (recur (cdr row) (+ 1 n))))
    (lambda (x) (vector-ref v x))))

; spacing of xs in ys
(define (spacing xs ys)
  (positions->spacing (map (position-func ys) xs)))

; row is a list of notes, not necessarily distinct
; return a function which, given any element of row,
;   returns a list of the positions where it occurs in row
(define (position-list-func row)
  (let ((v (make-vector modulus '())))
    (let recur ((row row)
                (n 0))
      (when (pair? row)
        (vector-set! v (car row) (cons n (vector-ref v (car row))))
        (recur (cdr row) (+ 1 n))))
    (lambda (x) (vector-ref v x))))

; list of spacings of xs in ys
; each spacing is a list of numbers
(define (spacings xs ys)
  (map positions->spacing
       (apply cartesian-product
              (map (position-list-func ys) xs))))

(define (spacing-ok? sp)
  (and (<= spacing-error-min
           (count (lambda (x) (not (<= spacing-min x spacing-max)))
                  sp)
           spacing-error-max)
       (<= 1-space-min
           (count (lambda (x) (= x 1))
                  sp)
           1-space-max)))

(define (some-spacing-ok? xs ys)
  (if (= modulus row-length)
      (spacing-ok? (spacing xs ys))  ; this is just a speed optimization
      (ormap spacing-ok? (spacings xs ys))))  ; this would work correctly in all cases

(define (transpositions row)
  (build-list modulus (lambda (i) (transpose-scale modulus row i))))

; same as (append (reverse a) b), but faster
(define (append-r a b)
  (if (null? a)
      b
      (append-r (cdr a) (cons (car a) b))))

; same as (append-r (map f lst) lst), but faster
(define (append-r-map f lst)
  (let recur ((lst lst)
              (result lst))
    (if (null? lst)
        result
        (recur (cdr lst) (cons (f (car lst)) result)))))

(define (standard-transformations row)
  (append-r-map reverse
                (append-r-map invert-scale-m
                              (transpositions row))))

(define (multiply-note n x)
  (modulo (* n x) modulus))

(define (multiply-row r x)
  (map (lambda (n) (multiply-note n x))
       r))

(define (motif-ok? row)
  (let ((motif (take row motif-length))
        (ok? (lambda (xformed-motif) (some-spacing-ok? xformed-motif row))))
    (>= (+ (if standard-transforms (count ok? (standard-transformations               motif   )) 0)
           (if       5m-transforms (count ok? (standard-transformations (multiply-row motif 5))) 0))
        motif-min)))

; return a list of lists, each of which is the
;   same as lst except that one of its elements
;   (a different one for each sublist) has been
;   moved to the front, with the other elements
;   appearing in the same order as in lst
(define (move-each-to-front lst)
  (let recur ((a '())
              (b lst)
              (r '()))
    (if (null? b)
        r
        (recur
          (cons (car b) a)
          (cdr b)
          (cons (cons (car b) (append-r a (cdr b)))
                r)))))

; call f (for side-effects only) on certain permutations,
;    each of length n, of elements taken from lst
; every permutation starts with (car lst)
; if n is greater than the length of lst, in each permutation
;    all elements of lst are used before any is repeated
; the permutations are constructed one element at a time,
;    and ok? can return #f to indicate that we should bail
;    out early, if it determines that no permutations that
;    start a certain way should be passed to f
; ok? uses data to help make its decision, and it returns
;    new data which will be passed into subsequent calls to it
(define (call-with-permutations lst n f ok? final-ok? data)
  (let recur ((perm (list (car lst))) ; initial part of permutation constructed so far, in reverse
              (n (- n 1))             ; number of elements that still need to be added to perm
              (xs (cdr lst))          ; list of possibilities for the next element
              (data data))            ; summary data computed by ok? based on perm
    (if (zero? n)
        (let ((fwd-perm (reverse perm)))
          (when (apply final-ok? fwd-perm perm data)
            (f fwd-perm)))
        (for-each (lambda (y)
                    (let ((new-data (apply ok? (car y) perm data)))
                      (when new-data
                        (recur (cons (car y) perm) (- n 1) (cdr y) new-data))))
                  (move-each-to-front (if (null? xs) lst xs))))))

(define (partial-row-ok? note row row-len n-bad-cell n-good-cell n-bad-interval n-good-interval last-interval n-interval)
  (let ((i (interval (car row) note)))
    (let ((n-interval (if (= last-interval i) (+ 1 n-interval) 1))
          (last-interval i)
          (n-bad-interval (+ n-bad-interval (count-intervals mof-bad-intervals note row)))
          (n-good-interval (+ n-good-interval (count-intervals mof-good-intervals note row)))
          (n-bad-cell (+ n-bad-cell (count-cells mof-bad-cells note row row-len)))
          (n-good-cell (+ n-good-cell (count-cells mof-good-cells note row row-len)))
          (row-len (+ 1 row-len)))
      (and (not please-stop)
           (<= n-interval interval-repetition-max)
           (<= n-bad-interval mof-bad-interval-max)
           (<= n-bad-cell mof-bad-cell-max)
           (list row-len n-bad-cell n-good-cell n-bad-interval n-good-interval last-interval n-interval)))))

; number of initial elements of list xs that are equal to x
(define (run-length x xs)
  (let recur ((xs xs)
              (n 0))
    (if (or (null? xs)
            (not (equal? x (car xs))))
        n
        (recur (cdr xs) (+ 1 n)))))

(define (final-row-ok? fwd-row row row-len n-bad-cell n-good-cell n-bad-interval n-good-interval last-interval n-interval)
  (and (>= (+ n-good-cell (if wrap-row (final-count-cells mof-good-cells row row-len) 0))
           mof-good-cell-min)
       (>= (+ n-good-interval (if wrap-row (final-count-intervals mof-good-intervals row) 0))
           mof-good-interval-min)
       (let ((intervals ((if wrap-row map2 map2a) interval fwd-row)))
         (and (>= (length (remove-duplicates intervals))
                  distinct-interval-min)
              (or (not wrap-row)
                  (and (<= (+ n-bad-cell (final-count-cells mof-bad-cells row row-len))
                           mof-bad-cell-max)
                       (<= (+ n-bad-interval (final-count-intervals mof-bad-intervals row))
                           mof-bad-interval-max)
                       (<= (let* ((i (interval (car row) (car fwd-row)))
                                  (rl (+ 1 (run-length i intervals))))
                             (min row-len
                                  (if (= i last-interval)
                                      (+ n-interval rl)
                                      rl)))
                           interval-repetition-max)))))))

(define initial-data '(1 0 0 0 0 -1 0))

; call f on row if row passes the tests specified
;   by functions ok? and final-ok?, which work the
;   same as those passed to call-with-permutations
(define (call-with-row row f ok? final-ok? data)
  (let recur ((rr (list (car row)))
              (r (cdr row))              
              (data data))
    (if (null? r)
        (when (apply final-ok? row rr data)
          (f row))
        (let ((new-data (apply ok? (car r) rr data)))
          (when new-data
            (recur (cons (car r) rr) (cdr r) new-data))))))

; x and y are lists of equal length
; return the number of positions at which x and y differ
(define (hamming-distance x y)
  (let recur ((x x)
              (y y)
              (n 0))
    (cond ((null? x)  n)
          ((equal? (car x) (car y))  (recur (cdr x) (cdr y) n))
          (else                      (recur (cdr x) (cdr y) (+ 1 n))))))

(define (near? d x y)
  (<= (hamming-distance x y) d))

(define (near-any? d x ys)
  (ormap (lambda (y) (near? d x y))
         ys))

(define (self-eq? same x y)
  (define (na? a b)
    (near-any? self-eq-tolerance a b))
  (or (na? x (if same (cdr (all-rotations-m y)) (all-rotations-m y)))
      (na? x (all-rotations-m (reverse y)))
      (na? x (all-rotations-m (invert-scale-m y)))
      (na? x (all-rotations-m (reverse (invert-scale-m y))))))

(define (self-equivalent? row)
  (or (and self-eq-standard (self-eq? #t row row))
      (and self-eq-5m       (self-eq? #f row (multiply-row row 5)))))

(define (process-row! row)
  (when (and (motif-ok? row)
             (not (self-equivalent? row)))
    (found! row)))

(define (rotation-transformations row)
  (let ((inverted-row (invert-scale-m row)))
    (append (all-rotations-m row)
            (all-rotations-m (reverse row))
            (all-rotations-m inverted-row)
            (all-rotations-m (reverse inverted-row)))))

(define (remove-near-duplicates rows)
  (let recur ((processed '())
              (unprocessed (map rotation-transformations rows)))
    (if (or please-stop (null? unprocessed))
        (map car (append unprocessed processed))
        (let ((row (caar unprocessed)))
          (if (ormap (lambda (ys) (near-any? duplicate-tolerance row ys))
                     processed)
              (recur                         processed  (cdr unprocessed))
              (recur (cons (car unprocessed) processed) (cdr unprocessed)))))))

(define mof-bad-cells '())
(define mof-good-cells '())

(define settings-in-use '())
(define loaded-results '())
(define loaded-results-path "")

(define (mof)
  (copy-settings-from-gui-to-vars)
  (set! settings-in-use (get-data-from-gui))
  (initialize-keyboard #t)
  (display-settings 5)
  (display-now "finding rows...")
  (set! mof-bad-cells  (map preprocess-cell mof-bad-cells-raw))
  (set! mof-good-cells (map preprocess-cell mof-good-cells-raw))
  (set! found-scales '())
  (if (equal? results-file "")
      (begin
        (set! loaded-results '())
        (set! loaded-results-path "")
        (call-with-permutations (build-list modulus values) row-length
                                process-row! partial-row-ok? final-row-ok? initial-data))
      (let ((path (normalize-results-path results-file)))
        (when (not (equal? path loaded-results-path))
          (read-results results-file #f))
        (call/cc
         (lambda (quit)
           (for-each (lambda (result)
                       (if please-stop
                           (quit)
                           (call-with-row result process-row! partial-row-ok? final-row-ok? initial-data)))
                     loaded-results)))
        (set! found-scales (reverse found-scales))))
  (displayln (if please-stop "interrupted" "done"))
  (newline)
  (let ((n-row (length found-scales)))
    (display "number of rows found: ")
    (displayln n-row)
    (newline)
    (when filter-duplicates
      (display-now "removing near-duplicates...")
      (set! please-stop #f)
      (set! found-scales (remove-near-duplicates found-scales))
      (displayln (if please-stop "interrupted" "done"))
      (newline)
      (set! n-row (length found-scales))
      (display "number of rows remaining: ")
      (displayln n-row)
      (newline))      
    (set! please-stop #f)
    (print-scales (if (<= n-row rows-max)
                      found-scales
                      (random-sample found-scales rows-max #:replacement? #f)))))

(define mallalieu '(0 1 4 2 9 5 11 3 8 10 7 6))

(define (repeat n f)
  (when (> n 0)
    (f)
    (repeat (- n 1) f)))

(define test-x 0)

(define (test)
  (set! test-x 0)
  (call-with-permutations
   (lambda (p) (when (motif-ok? p) (set! test-x (+ 1 test-x))))
   (lambda args '())
   (lambda args '())
   12
   '(0 1 2 3 4 5 6 7 8 9 10 11)
   '()))

(send the-frame show #t)


Who is my companion for the flu, for the languors of discouragement? Proust.
Sort of a French early 20th century Ed Grimley genius. More triangle, Marcel!

Last edited by calebprime; 12th February 2018 at 01:05 PM.
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Old 13th February 2018, 02:55 AM   #138
calebprime
moleman
 
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Join Date: Jul 2006
Posts: 11,937
The names of series were added to Microtonal Scales. Here's the whole naming section:

Code:
; name of scale followed by its intervals
(define scale-list-1
  '(
    ("Whole-Tone"              2 2 2 2 2 2)
    ("Augmented 1-3"           1 3 1 3 1 3)
    ("Lydian"                  2 2 2 1 2 2 1)
    ("Harmonic Major"          1 3 1 2 2 1 2)
    ("Harmonic Minor"          2 1 2 2 1 3 1)
    ("Ascending Melodic Minor" 2 1 2 2 2 2 1)
    ("Octatonic-Diminished"    1 2 1 2 1 2 1 2)
    ("Rast"                    4 3 3 4 4 3 3)
    ("Dastgah-e Chahargah"     3 5 2 4 3 5 2)
    ("Sikah Baladi"            3 4 3 4 3 4 3)
    ("Nahfat"                  3 3 4 4 4 2 4)
;   ("Mahur"                   4 3 3 4 4 4 2)
    ("Saba"                    3 3 2 6 2 4 4)
    ("Sabr Jadid"              3 3 2 6 2 6 2)
    ("Suznak"                  4 3 3 4 2 6 2)
;   ("Qarjighar"               3 3 4 2 6 2 4)
;   ("Hizam"                   3 4 2 6 2 4 3)
    ("Nawa"                    2 4 4 4 3 3 4)
    ("Higaz-kar"               2 5 3 4 2 5 3)
    ("Dastgah"                 3 5 2 4 2 4 4)
;   ("Naghmeh Esfahan"         4 2 4 4 3 5 2)
    ("Aug-ara"                 3 6 1 5 2 6 1)
    ("Buselik"                 4 1 5 4 2 6 2)
    ("Neuter"                  4 2 6 2 2 5 3)
    ("Ushaq&Yi"                4 3 3 4 4 2 4)
;   ("Su'ar"                   3 4 4 2 4 4 3)
;   ("Ushaq Masri"             4 2 4 4 3 3 4)
;   ("'Ushshaq Turki"          3 3 4 4 2 4 4)
;   ("Jahargah"                4 4 2 4 4 3 3)
    ("Daniel"                  4 4 2 3 1 4 6)
    ("Oceans Eleven HF2"       3 4 4 3 5 2 3)
    ("Oceans Eleven Tropicana" 3 4 4 3 3 2 5)
    ("Oceans Eleven Squeeze"   5 2 4 3 3 2 5)
    ("Cicada Climbs Wall"      8 3 3 2 5 3)
    ("Cicada Sox Six"          8 3 3 2 3 5)
    ("Cal's Hex 3437"          3 4 3 7 4 3)
    ("Cal's Hex 3433"          3 3 4 7 3 4)
    ("Cal's Hex 3434"          3 4 3 4 3 7)  
    ("31 LYDIAN GROUP"         5 5 5 3 5 5 3)
    ("31 No-Wolf 7-of-Oct"     3 5 2 6 2 8 5)
    ("31 Harmonic Major"       5 5 3 5 3 7 3)
    ("31 Harmonic Major2"      5 5 3 5 2 8 3)
    ("31 Melodic Minor Up"     3 5 5 5 5 3 5)
    ("31 Harmonic Minor"       5 3 5 5 3 7 3)
    ("Kanakangi-0125789"       1 1 3 2 1 1 3)
    ("Ratnangi-012578T"        1 1 3 2 1 2 2)
    ("Ganamurti-0124679"       1 1 2 2 1 2 3)
    ("Vanaspati-012579T"       1 1 3 2 2 1 2)
    ("Manavati-012579E"        1 1 3 2 2 2 1)
    ("Tanarupi-01257TE"        1 1 3 2 3 1 1)
    ("Senavati-0135789"        1 2 2 2 1 1 3)
    ("Dhenuka-013578B"         1 2 2 2 1 3 1)
    ("Kokilapriya-013579B"     1 2 2 2 2 2 1)
    ("Rupavati-01357TE"        1 2 2 2 3 1 1)
    ("Gayak-0145789"           1 3 1 2 1 1 3)
    ("Mayam-014578E"           1 3 1 2 1 3 1)
    ("Hatak-01457TE"           1 3 1 2 3 1 1)
    ("Varu-02357TE"            2 1 2 2 3 1 1)
    ("Nagan-02457TE"           2 2 1 2 3 1 1)
    ("Yaga-0345789"            3 1 1 2 1 1 3)
    ("Gangey-034578E"          3 1 1 2 1 3 1)
    ("Chalanata-03457TE"       3 1 1 2 3 1 1)
    ("Salagam-0126789"         1 1 4 1 1 1 3)
    ("Jalarn-012678T"          1 1 4 1 1 2 2)
    ("Jhala-012678E"           1 1 4 1 1 3 1)
    ("Navam-012679T"           1 1 4 1 2 1 2)
    ("Pavani-012679E"          1 1 4 1 2 1 2)
    ("Rhagu-01267TE"           1 1 4 1 3 1 1)
    ("Sadvid-013679T"          1 2 3 1 2 1 2)
    ("Suvarn-013679E"          1 2 3 1 2 2 1)
    ("Dvya-01367TE"            1 2 3 1 3 1 1)
    ("Dhava-0146789"           1 3 2 1 1 1 3)
    ("Naman-014678T"           1 3 2 1 1 2 2)
    ("Sucha-0346789"           3 1 2 1 1 1 3)
    ("Jioti-034678T"           3 1 2 1 1 2 2)
    ("Target"                  4 3 4 3 5 2 3)
    ("Nice"                    3 2 5 7 4 3)
    ("118-Harmonic11L"         20 18 16 15 14 12 23)
    ("118-Mu-Trane11"          20 18 16 15 49)
    ("Mu-Trane11qt"            4 4 3 3 10)
    ("WideLydian190"           34 34 34 10 34 34 10)
    ("HybridLydian190"         33 33 33 11 33 33 14)
    ("MedLydian190"            32 32 32 15 32 32 15)
    ("5LimJI-Lydian190"        32 33 28 18 32 29 18)
    ("NarrowLydian190"         30 30 30 20 30 30 20)
    ("Large Dorian 136"        24 8 16 8 24 24 8 24)
    ("Melodic Minor 136"       23 10 23 24 23 20 13)
    ("Harmonic171 8-15"        29 26 24 21 20 18 17 16)
    ("Harmonic 7n 171 8-14"    29 26 24 21 20 18 33)
    ("Harmonic 6n 171 8-14"    29 26 24 21 38 33)
    ("5-note Equal"            1 1 1 1 1)
    ("7-note Equal"            1 1 1 1 1 1 1)
    ("8-note Equal"            1 1 1 1 1 1 1 1)
    ("9-note Equal"            1 1 1 1 1 1 1 1 1)
    ("10-note Equal"           1 1 1 1 1 1 1 1 1 1)
    ("11-note Equal"           1 1 1 1 1 1 1 1 1 1 1)
    ("12-note Equal"           1 1 1 1 1 1 1 1 1 1 1 1)
    ("17-note Equal"           1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1)
    ("19-note Equal"           1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1)
    ))

; name of scale, then its modulus, then its notes
(define scale-list-2
  '(
    ("row 9" 12  0  3 11  2 10  8  5  1  4  9  6  7)
    ("row 8" 12  0  3  6  2  9  4  5 11 10  8  1  7)
    ("row 7" 12  0  2  8 11  7  3  4 10  9  6  1  5)
    ("row 6" 12  0  1  8 10  7  5  2  9 11  6  3  4)
    ("row 5" 12  0 10  6  9  5  2 11  8  7  4  1  3)
    ("row 4" 12  0  8  5  7  4  1 10  6  9  3 11  2)
    ("row 3" 12  0  9  2  6  4 10 11  5  7  3  8  1)
    ("row 2" 12  0  6  3  5  2 11  8  4  7  1  9 10)
    ("row 1" 12  0  4  1  3  8 11  5  2  9  7 10  6)
    
    ("mof8"  12  0  4 11  6  8  2  3  5  7 10  1  9)
    ("mof7"  12  0  4 11  5  8  1  3 10  7  9  6  2)
    ("mof6A" 12  0  4 10  5  8  1  2 11  6  9  7  3)
    ("mof6B" 12  0  4  9  6  8  2  1 11  5 10  7  3)
    ("mof5"  12  0  4  7  5  8  1 11  6  3  9  2 10)
    ("mof4A" 12  0  4  7  2  8 10 11  5  3  6  1  9)
    ("mof4B" 12  0  4  7  2  8 10 11  1  3  6  9  5)
    ("mof3"  12  0  4  6  3  8 11 10  5  2  7  1  9)
    ("mof2A" 12  0  4  1 10  8  6  5 11  9  2  7  3)
    ("mof2B" 12  0  4  1 10  8  6  5  3  9  2 11  7)

    ("mallalieu" 12 0 1 4 2 9 5 11 3 8 10 7 6)
    ("Obvious Childe 015" 12 0 8 7 4 9 5 3 10 11 1 2 6)
    ("Double Aug" 12 0 1 5 9 2 8 7 11 3 10 4 6)
    ("AIS#12" 12 0 1 7 2 4 8 6 3 11 5 10 9)
    ("E for Effort" 12 0 1 7 2 10 8 4 3 6 11 5 9)
    ("Melvin-Lieben" 12 0 1 9 2 4 10 8 3 6 5 7 11)
    ("5p equals" 12 0 1 9 6 11 4 8 2 10 5 7 3)
    ("Five Large" 12 0 2 3 9 10 6 7 1 5 8 4 11)
    ("Degenerate" 12 0 2 5 4 10 7 11 6 9 1 3 8)
    ("Ni of '73" 12 0 4 6 10 7 3 11 1 8 2 5 9)
    ("Too Tuesday" 12 0 2 8 4 5 10 1 6 3 7 9 11)
    ("Usual Suspect" 12 0 3 2 6 4 5 10 9 11 7 1 8)
    ("Octopussy" 12 0 3 4 6 11 7 9 1 8 2 5 10)
    ("Approved" 12 0 3 7 6 4 10 8 9 2 11 5 1)
    ("Billy's Childe" 12 0 7 3 2 5 10 6 9 1 8 11 4)
    ("Jejune" 12 0 3 10 7 8 1 4 2 6 11 9 5)
    ("Gathering Ladma" 12 0 4 7 8 1 11 9 3 10 5 6 2)
    ("CovFEfe" 12 0 5 4 10 1 9 7 3 8 6 11 2)
    ("Big Fockin' Deal" 12 0 5 8 10 4 1 11 3 7 9 2 6)
    ("Donnie Wallboard" 12 0 5 11 10 8 4 6 3 7 1 2 9)
    ("BC Perm" 12 0 7 2 1 4 9 5 8 6 10 3 11)
    ("Mu-tation" 12 0 7 4 2 11 1 6 10 9 5 3 8)
    ("026/027" 12 0 7 5 3 9 1 6 10 11 4 2 8)
    ("Cigar Bed" 12 0 7 9 11 4 2 5 10 8 6 1 3)
    ("Renuzit" 12 0 8 2 3 5 10 7 11 6 1 4 9)
    ("FlyTown" 12 0 8 5 3 6 1 7 11 10 2 4 9)
    ("Say I'm Sick" 12 0 9 1 6 11 10 5 3 2 8 4 7)
    ("Big Cad" 12 0 9 2 6 1 11 7 3 4 10 5 8)
    ("Compromising Adult" 12 0 9 4 3 6 11 10 8 2 7 1 5)
    ("First Example" 12 0 10 2 3 6 7 4 1 9 11 5 8)
    ("Loose Girlfriend" 12 0 10 2 7 11 9 4 3 1 8 5 6)
    ("Nigel's Amp" 12 0 10 4 8 7 3 1 6 11 5 9 2)
    ))

Last edited by calebprime; 13th February 2018 at 03:10 AM.
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Old 13th February 2018, 03:23 AM   #139
calebprime
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Join Date: Jul 2006
Posts: 11,937
...and now I can easily see which series I've already looked at. The ones of interest here are the ones without names.


Code:
                                       modulus: 12
         wolf intervals (between any two notes): ()
                     display multiple spellings: #f
    acceptable error when naming scales (cents): 0
                                     sort order: (packing)
             abbreviated multiple-column output: #t
                                  output format: numbers
                       number of output columns: 3
                                     row length: 12
                                      bad cells: ()
                    maximum number of bad cells: 0
                                     good cells: ()
                   minimum number of good cells: 0
      bad intervals (between consecutive notes): ()
                maximum number of bad intervals: 0
     good intervals (between consecutive notes): ()
               minimum number of good intervals: 0
          minimum number of different intervals: 4
   maximum number of same consecutive intervals: 2
             self-equivalence filter - standard: #f
                   self-equivalence filter - 5m: #f
              self-equivalence filter tolerance: 0
                         remove near-duplicates: #t
                       near-duplicate tolerance: 4
         wrap when counting cells and intervals: #t
      virtual row length, for computing spacing: 12
                                   motif length: 12
     look for standard transformations of motif: #t
           look for 5m transformations of motif: #f
                                minimum spacing: 2
                                maximum spacing: 6
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 1
                     minimum number of 1-spaces: 0
                     maximum number of 1-spaces: 3
  minimum number of occurrences of motif in row: 1
                    wrap when computing spacing: #t
              maximum number of rows to display: 2000
               file of results to search within: /Users/calebmaximussupremo/Desktop/huge

finding rows....done

number of rows found: 102

removing near-duplicates...done

number of rows remaining: 40

mallalieu                    AIS#12                       (0 1 8 4 6 9 10 5 3 7 2 11)  
(0 1 4 2 9 5 11 3 8 10 7 6)  (0 1 7 2 4 8 6 3 11 5 10 9)                               

Melvin-Lieben                (0 2 7 3 6 8 11 5 4 9 1 10)  (0 2 7 3 8 10 11 6 5 9 4 1)  
(0 1 9 2 4 10 8 3 6 5 7 11)                                                            

(0 2 8 3 6 10 9 5 4 7 1 11)  (0 2 9 4 10 11 5 7 8 1 6 3)  (0 2 11 5 4 3 10 7 1 8 9 6)  

(0 3 2 6 1 7 8 10 9 5 4 11)  (0 3 2 6 7 5 1 9 4 10 11 8)  (0 3 2 7 11 5 8 10 6 4 1 9)  

Octopussy                    (0 3 4 7 2 8 10 11 9 6 5 1)  (0 3 8 4 7 9 1 6 5 10 2 11)  
(0 3 4 6 11 7 9 1 8 2 5 10)                                                            

row 1*                       Jejune                       (0 4 2 7 1 5 9 11 8 6 3 10)  
(0 3 8 10 7 11 5 1 4 2 9 6)  (0 3 10 7 8 1 4 2 6 11 9 5)                               

(0 4 2 8 7 6 3 10 5 11 1 9)  (0 4 5 8 3 9 11 1 10 7 6 2)  (0 4 5 9 10 8 6 1 7 2 3 11)  

Gathering Ladma              (0 4 7 8 9 11 6 2 3 1 10 5)  (0 4 8 10 11 2 9 3 6 5 1 7)  
(0 4 7 8 1 11 9 3 10 5 6 2)                                                            

(0 4 10 6 1 2 7 8 11 3 9 5)  CovFEfe                      Big Fockin' Deal             
                             (0 5 4 10 1 9 7 3 8 6 11 2)  (0 5 8 10 4 1 11 3 7 9 2 6)  

(0 5 8 10 9 1 7 3 4 2 11 6)  Donnie Wallboard             (0 6 8 11 10 2 9 3 5 4 1 7)  
                             (0 5 11 10 8 4 6 3 7 1 2 9)                               

(0 6 9 11 10 3 8 4 5 2 1 7)  Billy's Childe               Renuzit                      
                             (0 7 3 2 5 10 6 9 1 8 11 4)  (0 8 2 3 5 10 7 11 6 1 4 9)  

FlyTown                      Obvious Childe               mof3                         
(0 8 5 3 6 1 7 11 10 2 4 9)  (0 8 7 4 9 5 3 10 11 1 2 6)  (0 9 2 5 4 11 8 1 7 3 6 10)  

Big Cad                      Compromising Adult           Loose Girlfriend             
(0 9 2 6 1 11 7 3 4 10 5 8)  (0 9 4 3 6 11 10 8 2 7 1 5)  (0 10 2 7 11 9 4 3 1 8 5 6)  

Nigel's Amp                                                                            
(0 10 4 8 7 3 1 6 11 5 9 2)
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Old 13th February 2018, 03:27 AM   #140
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If I add a simple harmonic filter -- (3 0 3 6) (3 0 1 2) -- get rid of series with diminished chords or chromatic segments in contiguous 3-note groups, wrapping around, there's even fewer new series to look at.


Code:
number of rows found: 25

removing near-duplicates...done

number of rows remaining: 19

mallalieu                    AIS#12                       (0 3 8 4 7 9 1 6 5 10 2 11)  
(0 1 4 2 9 5 11 3 8 10 7 6)  (0 1 7 2 4 8 6 3 11 5 10 9)                               

Jejune                       (0 4 2 7 1 5 9 11 8 6 3 10)  (0 4 5 8 3 9 10 1 11 7 6 2)  
(0 3 10 7 8 1 4 2 6 11 9 5)                                                            

Gathering Ladma              (0 4 10 6 1 2 7 8 11 3 9 5)  (0 5 8 10 11 2 9 4 6 3 1 7)  
(0 4 7 8 1 11 9 3 10 5 6 2)                                                            

Donnie Wallboard             Billy's Childe               Renuzit                      
(0 5 11 10 8 4 6 3 7 1 2 9)  (0 7 3 2 5 10 6 9 1 8 11 4)  (0 8 2 3 5 10 7 11 6 1 4 9)  

FlyTown                      Obvious Childe               mof3                         
(0 8 5 3 6 1 7 11 10 2 4 9)  (0 8 7 4 9 5 3 10 11 1 2 6)  (0 9 2 5 4 11 8 1 7 3 6 10)  

Big Cad                      Compromising Adult           Loose Girlfriend             
(0 9 2 6 1 11 7 3 4 10 5 8)  (0 9 4 3 6 11 10 8 2 7 1 5)  (0 10 2 7 11 9 4 3 1 8 5 6)  

Nigel's Amp                                                                            
(0 10 4 8 7 3 1 6 11 5 9 2)

Last edited by calebprime; 13th February 2018 at 03:29 AM.
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Old 13th February 2018, 06:14 AM   #141
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For modelling the columns, maybe something a little less consistent, more permissive -- the Every Other self-sim is more than adequate.

I'm thinking of a column with intervals that go something like

n,n,n,n,n,n, first half, first 6 very flat, almost same number, variation of 1 at most

second half, last 6 intervals anything goes

The reason is that all the other requirements are of equal importance, and we need more series, not fewer series more rigorously defined.
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Old 13th February 2018, 07:24 AM   #142
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Because of vague intervallic connection to Giant Steps, I'm calling this Q-Tips.

Naming these is half the fun.

Code:
Q-Tips

(0 3 8 4 7 9 1 6 5 10 2 11)  C,Eb,Ab,E,G,A,Db,Gb,F,Bb,D,B
     

C,  Eb, Ab, E,  G,  A,  Db, Gb, F,  Bb, D,  B
Eb, E,  A,  Gb, Bb, B,  C,  Ab, G,  Db, F,  D
E,  Gb, B,  Ab, Db, D,  Eb, A,  Bb, C,  G,  F
Gb, Ab, D,  A,  C,  F,  E,  B,  Db, Eb, Bb, G
Ab, A,  F,  B,  Eb, G,  Gb, D,  C,  E,  Db, Bb
A,  B,  G,  D,  E,  Bb, Ab, F,  Eb, Gb, C,  Db
B,  D,  Bb, F,  Gb, Db, A,  G,  E,  Ab, Eb, C
D,  F,  Db, G,  Ab, C,  B,  Bb, Gb, A,  E,  Eb
F,  G,  C,  Bb, A,  Eb, D,  Db, Ab, B,  Gb, E
G,  Bb, Eb, Db, B,  E,  F,  C,  A,  D,  Ab, Gb
Bb, Db, E,  C,  D,  Gb, G,  Eb, B,  F,  A,  Ab
Db, C,  Gb, Eb, F,  Ab, Bb, E,  D,  G,  B,  A



Q-tips

C,  Eb, Ab, E,  G,  A,  Db, Gb, F,  Bb, D,  B
A,  C,  F,  Db, E,  Gb, Bb, Eb, D,  G,  B,  Ab
E,  G,  C,  Ab, B,  Db, F,  Bb, A,  D,  Gb, Eb
Ab, B,  E,  C,  Eb, F,  A,  D,  Db, Gb, Bb, G
F,  Ab, Db, A,  C,  D,  Gb, B,  Bb, Eb, G,  E
Eb, Gb, B,  G,  Bb, C,  E,  A,  Ab, Db, F,  D
B,  D,  G,  Eb, Gb, Ab, C,  F,  E,  A,  Db, Bb
Gb, A,  D,  Bb, Db, Eb, G,  C,  B,  E,  Ab, F
G,  Bb, Eb, B,  D,  E,  Ab, Db, C,  F,  A,  Gb
D,  F,  Bb, Gb, A,  B,  Eb, Ab, G,  C,  E,  Db
Bb, Db, Gb, D,  F,  G,  B,  E,  Eb, Ab, C,  A
Db, E,  A,  F,  Ab, Bb, D,  G,  Gb, B,  Eb, C

9,7,4,9,10,8,7,1,7,8,3,11


A,  C,  F,  Db, E,  Gb, Bb, Eb, D,  G,  B,  Ab
....c.......................eb..............ab...
................e...................g............
a...........db......gb...........................
........f...............bb......d.......b
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Old 13th February 2018, 07:44 AM   #143
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Malevich the Jewel Thief

Kasimir Malevich played a jewel thief in that movie, what was it?


Code:
0,  4,  2,  7,  1,  5,  9,  11, 8,  6,  3,  10
4,  7,  5,  11, 6,  10, 0,  2,  1,  9,  8,  3
7,  11, 10, 2,  9,  3,  4,  5,  6,  0,  1,  8
11, 2,  3,  5,  0,  8,  7,  10, 9,  4,  6,  1
2,  5,  8,  10, 4,  1,  11, 3,  0,  7,  9,  6
5,  10, 1,  3,  7,  6,  2,  8,  4,  11, 0,  9
10, 3,  6,  8,  11, 9,  5,  1,  7,  2,  4,  0
3,  8,  9,  1,  2,  0,  10, 6,  11, 5,  7,  4
8,  1,  0,  6,  5,  4,  3,  9,  2,  10, 11, 7
1,  6,  4,  9,  10, 7,  8,  0,  5,  3,  2,  11
6,  9,  7,  0,  3,  11, 1,  4,  10, 8,  5,  2
9,  0,  11, 4,  8,  2,  6,  7,  3,  1,  10, 5


C,  E,  D,  G,  Db, F,  A,  B,  Ab, Gb, Eb, Bb
E,  G,  F,  B,  Gb, Bb, C,  D,  Db, A,  Ab, Eb
G,  B,  Bb, D,  A,  Eb, E,  F,  Gb, C,  Db, Ab
B,  D,  Eb, F,  C,  Ab, G,  Bb, A,  E,  Gb, Db
D,  F,  Ab, Bb, E,  Db, B,  Eb, C,  G,  A,  Gb
F,  Bb, Db, Eb, G,  Gb, D,  Ab, E,  B,  C,  A
Bb, Eb, Gb, Ab, B,  A,  F,  Db, G,  D,  E,  C
Eb, Ab, A,  Db, D,  C,  Bb, Gb, B,  F,  G,  E
Ab, Db, C,  Gb, F,  E,  Eb, A,  D,  Bb, B,  G
Db, Gb, E,  A,  Bb, G,  Ab, C,  F,  Eb, D,  B
Gb, A,  G,  C,  Eb, B,  Db, E,  Bb, Ab, F,  D
A,  C,  B,  E,  Ab, D,  Gb, G,  Eb, Db, Bb, F




C,  E,  D,  G,  Db, F,  A,  B,  Ab, Gb, Eb, Bb
Ab, C,  Bb, Eb, A,  Db, F,  G,  E,  D,  B,  Gb
Bb, D,  C,  F,  B,  Eb, G,  A,  Gb, E,  Db, Ab
F,  A,  G,  C,  Gb, Bb, D,  E,  Db, B,  Ab, Eb
B,  Eb, Db, Gb, C,  E,  Ab, Bb, G,  F,  D,  A
G,  B,  A,  D,  Ab, C,  E,  Gb, Eb, Db, Bb, F
Eb, G,  F,  Bb, E,  Ab, C,  D,  B,  A,  Gb, Db
Db, F,  Eb, Ab, D,  Gb, Bb, C,  A,  G,  E,  B
E,  Ab, Gb, B,  F,  A,  Db, Eb, C,  Bb, G,  D
Gb, Bb, Ab, Db, G,  B,  Eb, F,  D,  C,  A,  E
A,  Db, B,  E,  Bb, D,  Gb, Ab, F,  Eb, C,  G
D,  Gb, E,  A,  Eb, G,  B,  Db, Bb, Ab, F,  C



Bb, D,  C,  F,  B,  Eb, G,  A,  Gb, E,  Db, Ab


A,  Db, B,  E,  Bb, D,  Gb, Ab, F,  Eb, C,  G
........................................c........
............e.......d.......................g....
....db..........................f................
a.......b...................ab...................
........................gb..........eb...........
................bb
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Old 14th February 2018, 05:22 AM   #144
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This one has nested fourth-pairs, so I'm calling it Four-Nest



Code:
(0 4 10 6 1 2 7 8 11 3 9 5)   Four-Nest


0,  4,  10, 6,  1,  2,  7,  8,  11, 3,  9,  5
4,  6,  2,  8,  3,  5,  0,  10, 1,  7,  11, 9
6,  8,  5,  10, 7,  9,  4,  2,  3,  0,  1,  11
8,  10, 9,  2,  0,  11, 6,  5,  7,  4,  3,  1
10, 2,  11, 5,  4,  1,  8,  9,  0,  6,  7,  3
2,  5,  1,  9,  6,  3,  10, 11, 4,  8,  0,  7
5,  9,  3,  11, 8,  7,  2,  1,  6,  10, 4,  0
9,  11, 7,  1,  10, 0,  5,  3,  8,  2,  6,  4
11, 1,  0,  3,  2,  4,  9,  7,  10, 5,  8,  6
1,  3,  4,  7,  5,  6,  11, 0,  2,  9,  10, 8
3,  7,  6,  0,  9,  8,  1,  4,  5,  11, 2,  10
7,  0,  8,  4,  11, 10, 3,  6,  9,  1,  5,  2


C,  E,  Bb, F#, C#, D,  G,  Ab, B,  Eb, A,  F
E,  F#, D,  Ab, Eb, F,  C,  Bb, C#, G,  B,  A
F#, Ab, F,  Bb, G,  A,  E,  D,  Eb, C,  C#, B
Ab, Bb, A,  D,  C,  B,  F#, F,  G,  E,  Eb, C#
Bb, D,  B,  F,  E,  C#, Ab, A,  C,  F#, G,  Eb
D,  F,  C#, A,  F#, Eb, Bb, B,  E,  Ab, C,  G
F,  A,  Eb, B,  Ab, G,  D,  C#, F#, Bb, E,  C
A,  B,  G,  C#, Bb, C,  F,  Eb, Ab, D,  F#, E
B,  C#, C,  Eb, D,  E,  A,  G,  Bb, F,  Ab, F#
C#, Eb, E,  G,  F,  F#, B,  C,  D,  A,  Bb, Ab
Eb, G,  F#, C,  A,  Ab, C#, E,  F,  B,  D,  Bb
G,  C,  Ab, E,  B,  Bb, Eb, F#, A,  C#, F,  D





C,  E,  Bb, F#, C#, D,  G,  Ab, B,  Eb, A,  F
Ab, C,  F#, D,  A,  Bb, Eb, E,  G,  B,  F,  C#    <----------
D,  F#, C,  Ab, Eb, E,  A,  Bb, C#, F,  B,  G     ---------->
F#, Bb, E,  C,  G,  Ab, C#, D,  F,  A,  Eb, B
B,  Eb, A,  F,  C,  C#, F#, G,  Bb, D,  Ab, E
Bb, D,  Ab, E,  B,  C,  F,  F#, A,  C#, G,  Eb
F,  A,  Eb, B,  F#, G,  C,  C#, E,  Ab, D,  Bb
E,  Ab, D,  Bb, F,  F#, B,  C,  Eb, G,  C#, A
C#, F,  B,  G,  D,  Eb, Ab, A,  C,  E,  Bb, F#
A,  C#, G,  Eb, Bb, B,  E,  F,  Ab, C,  F#, D
Eb, G,  C#, A,  E,  F,  Bb, B,  D,  F#, C,  Ab
G,  B,  F,  C#, Ab, A,  D,  Eb, F#, Bb, E,  C


A,  C#, G,  Eb, Bb, B,  E,  F,  Ab, C,  F#, D
............................f...................
a...........eb......b...........ab..............
........g...................................d...
....c#..................................f#......
................bb......e...........c........... 


D,  F#, C,  Ab, Eb, E,  A,  Bb, C#, F,  B,  G
........c...........e.......bb..................
....f#..........................c#..............
d...........ab..........................b.......
................eb......a...........f...........
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Old 15th February 2018, 01:56 AM   #145
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I intend to keep finding examples. At some point I also intend to write a little "Have Fun with Your Tone Row" guide. It will discuss what these rows do for you, just as you might want a guide called "Have Fun with Your English Setter". These rows come with a few good tricks already innate, like a dog that hunts.


Today's MOF: Gifted and Industrious

Code:
Gifted and Industrious

0 3 4 6 11 7 5 9 8 2 1 10

C,  Eb, E,  F#, B,  G,  F,  A,  Ab, D,  Db, Bb
Eb, F#, G,  A,  D,  Bb, C,  E,  B,  F,  Ab, Db
F#, A,  Bb, E,  F,  Db, Eb, G,  D,  C,  B,  Ab
A,  E,  Db, G,  C,  Ab, F#, Bb, F,  Eb, D,  B
E,  G,  Ab, Bb, Eb, B,  A,  Db, C,  F#, F,  D
G,  Bb, B,  Db, F#, D,  E,  Ab, Eb, A,  C,  F
Bb, Db, D,  Ab, A,  F,  G,  B,  F#, E,  Eb, C
Db, Ab, F,  B,  E,  C,  Bb, D,  A,  G,  F#, Eb
Ab, B,  C,  D,  G,  Eb, Db, F,  E,  Bb, A,  F#
B,  D,  Eb, F,  Bb, F#, Ab, C,  G,  Db, E,  A
D,  F,  F#, C,  Db, A,  B,  Eb, Bb, Ab, G,  E
F,  C,  A,  Eb, Ab, E,  D,  F#, Db, B,  Bb, G







C,  Eb, E,  F#, B,  G,  F,  A,  Ab, D,  Db, Bb
A,  C,  Db, Eb, Ab, E,  D,  F#, F,  B,  Bb, G
Ab, B,  C,  D,  G,  Eb, Db, F,  E,  Bb, A,  F#
F#, A,  Bb, C,  F,  Db, B,  Eb, D,  Ab, G,  E
Db, E,  F,  G,  C,  Ab, F#, Bb, A,  Eb, D,  B
F,  Ab, A,  B,  E,  C,  Bb, D,  Db, G,  F#, Eb
G,  Bb, B,  Db, F#, D,  C,  E,  Eb, A,  Ab, F
Eb, F#, G,  A,  D,  Bb, Ab, C,  B,  F,  E,  Db
E,  G,  Ab, Bb, Eb, B,  A,  Db, C,  F#, F,  D
Bb, Db, D,  E,  A,  F,  Eb, G,  F#, C,  B,  Ab
B,  D,  Eb, F,  Bb, F#, E,  Ab, G,  Db, C,  A
D,  F,  F#, Ab, Db, A,  G,  B,  Bb, E,  Eb, C



A,  C,  Db, Eb, Ab, E,  D,  F#, F,  B,  Bb, G
....c.......eb......e.......f#......b.......g...
................................f...............
a...............ab......d...............Bb......
........Db..




Ab, B,  C,  D,  G,  Eb, Db, F,  E,  Bb, A,  F#
........c...........eb..........e...........f#...
....b...........g...........f...........a........
ab..........d...........db..........bb

2,5,8,11,1,4,7,10,0,3,6,9

M) modulus: 12 P) permutation: 2,5,8,11,1,4,7,10,0,3,6,9 C) center interval of self-similarity: 4 I) invert test (use sums instead of differences): off O) minimum number of occurrences of center: 10 D) maximum deviation from center: 11 S) maximum sum of all deviations: 12 F) fixed-position notes: 0:0 E) excluded cells within range: R) excluded intervals within range: A) filter original solution: on B) filter permuted solution: off X) permutation depth: 2 N) number of solutions to print: 1000 W) wrap: on 1) perform new full search 2) search within results of last full search 9) quit enter choice: 1 working... 0 1 4 2 9 5 3 7 8 10 11 6 - 12 0 0 0 1 4 2 9 5 7 11 8 10 3 6 - 12 0 0 0 1 4 2 9 5 11 3 8 10 7 6 - 12 0 0 0 1 4 3 9 5 2 6 8 11 10 7 - 12 0 0 0 1 4 3 9 5 6 10 8 11 2 7 - 12 0 0 0 1 4 3 9 5 10 2 8 11 6 7 - 12 0 0 0 1 4 6 9 5 3 7 8 2 11 10 - 12 0 0 0 1 4 6 9 5 7 11 8 2 3 10 - 12 0 0 0 1 4 6 9 5 11 3 8 2 7 10 - 12 0 0 0 1 4 7 9 5 2 6 8 3 10 11 - 12 0 0 0 1 4 7 9 5 6 10 8 3 2 11 - 12 0 0 0 1 4 7 9 5 10 2 8 3 6 11 - 12 0 0 0 1 4 10 9 5 3 7 8 6 11 2 - 12 0 0 0 1 4 10 9 5 7 11 8 6 3 2 - 12 0 0 0 1 4 10 9 5 11 3 8 6 7 2 - 12 0 0 0 1 4 11 9 5 2 6 8 7 10 3 - 12 0 0 0 1 4 11 9 5 6 10 8 7 2 3 - 12 0 0 0 1 4 11 9 5 10 2 8 7 6 3 - 12 0 0 0 2 4 1 10 6 3 7 8 9 11 5 - 12 0 0 0 2 4 1 10 6 7 11 8 9 3 5 - 12 0 0 0 2 4 1 10 6 11 3 8 9 7 5 - 12 0 0 0 2 4 3 10 6 1 5 8 11 9 7 - 12 0 0 0 2 4 3 10 6 5 9 8 11 1 7 - 12 0 0 0 2 4 3 10 6 9 1 8 11 5 7 - 12 0 0 0 2 4 5 10 6 3 7 8 1 11 9 - 12 0 0 0 2 4 5 10 6 7 11 8 1 3 9 - 12 0 0 0 2 4 5 10 6 11 3 8 1 7 9 - 12 0 0 0 2 4 7 10 6 1 5 8 3 9 11 - 12 0 0 0 2 4 7 10 6 5 9 8 3 1 11 - 12 0 0 0 2 4 7 10 6 9 1 8 3 5 11 - 12 0 0 0 2 4 9 10 6 3 7 8 5 11 1 - 12 0 0 0 2 4 9 10 6 7 11 8 5 3 1 - 12 0 0 0 2 4 9 10 6 11 3 8 5 7 1 - 12 0 0 0 2 4 11 10 6 1 5 8 7 9 3 - 12 0 0 0 2 4 11 10 6 5 9 8 7 1 3 - 12 0 0 0 2 4 11 10 6 9 1 8 7 5 3 - 12 0 0 0 3 4 1 11 7 2 6 8 9 10 5 - 12 0 0 0 3 4 1 11 7 6 10 8 9 2 5 - 12 0 0 0 3 4 1 11 7 10 2 8 9 6 5 - 12 0 0 0 3 4 2 11 7 1 5 8 10 9 6 - 12 0 0 0 3 4 2 11 7 5 9 8 10 1 6 - 12 0 0 0 3 4 2 11 7 9 1 8 10 5 6 - 12 0 0 0 3 4 5 11 7 2 6 8 1 10 9 - 12 0 0 0 3 4 5 11 7 6 10 8 1 2 9 - 12 0 0 0 3 4 5 11 7 10 2 8 1 6 9 - 12 0 0 0 3 4 6 11 7 1 5 8 2 9 10 - 12 0 0 0 3 4 6 11 7 5 9 8 2 1 10 - 12 0 0 0 3 4 6 11 7 9 1 8 2 5 10 - 12 0 0 0 3 4 9 11 7 2 6 8 5 10 1 - 12 0 0 0 3 4 9 11 7 6 10 8 5 2 1 - 12 0 0 0 3 4 9 11 7 10 2 8 5 6 1 - 12 0 0 0 3 4 10 11 7 1 5 8 6 9 2 - 12 0 0 0 3 4 10 11 7 5 9 8 6 1 2 - 12 0 0 0 3 4 10 11 7 9 1 8 6 5 2 - 12 0 0 0 5 4 2 1 9 3 7 8 10 11 6 - 12 0 0 0 5 4 2 1 9 7 11 8 10 3 6 - 12 0 0 0 5 4 2 1 9 11 3 8 10 7 6 - 12 0 0 0 5 4 3 1 9 2 6 8 11 10 7 - 12 0 0 0 5 4 3 1 9 6 10 8 11 2 7 - 12 0 0 0 5 4 3 1 9 10 2 8 11 6 7 - 12 0 0 0 5 4 6 1 9 3 7 8 2 11 10 - 12 0 0 0 5 4 6 1 9 7 11 8 2 3 10 - 12 0 0 0 5 4 6 1 9 11 3 8 2 7 10 - 12 0 0 0 5 4 7 1 9 2 6 8 3 10 11 - 12 0 0 0 5 4 7 1 9 6 10 8 3 2 11 - 12 0 0 0 5 4 7 1 9 10 2 8 3 6 11 - 12 0 0 0 5 4 10 1 9 3 7 8 6 11 2 - 12 0 0 0 5 4 10 1 9 7 11 8 6 3 2 - 12 0 0 0 5 4 10 1 9 11 3 8 6 7 2 - 12 0 0 0 5 4 11 1 9 2 6 8 7 10 3 - 12 0 0 0 5 4 11 1 9 6 10 8 7 2 3 - 12 0 0 0 5 4 11 1 9 10 2 8 7 6 3 - 12 0 0 0 6 4 1 2 10 3 7 8 9 11 5 - 12 0 0 0 6 4 1 2 10 7 11 8 9 3 5 - 12 0 0 0 6 4 1 2 10 11 3 8 9 7 5 - 12 0 0 0 6 4 3 2 10 1 5 8 11 9 7 - 12 0 0 0 6 4 3 2 10 5 9 8 11 1 7 - 12 0 0 0 6 4 3 2 10 9 1 8 11 5 7 - 12 0 0 0 6 4 5 2 10 3 7 8 1 11 9 - 12 0 0 0 6 4 5 2 10 7 11 8 1 3 9 - 12 0 0 0 6 4 5 2 10 11 3 8 1 7 9 - 12 0 0 0 6 4 7 2 10 1 5 8 3 9 11 - 12 0 0 0 6 4 7 2 10 5 9 8 3 1 11 - 12 0 0 0 6 4 7 2 10 9 1 8 3 5 11 - 12 0 0 0 6 4 9 2 10 3 7 8 5 11 1 - 12 0 0 0 6 4 9 2 10 7 11 8 5 3 1 - 12 0 0 0 6 4 9 2 10 11 3 8 5 7 1 - 12 0 0 0 6 4 11 2 10 1 5 8 7 9 3 - 12 0 0 0 6 4 11 2 10 5 9 8 7 1 3 - 12 0 0 0 6 4 11 2 10 9 1 8 7 5 3 - 12 0 0 0 7 4 1 3 11 2 6 8 9 10 5 - 12 0 0 0 7 4 1 3 11 6 10 8 9 2 5 - 12 0 0 0 7 4 1 3 11 10 2 8 9 6 5 - 12 0 0 0 7 4 2 3 11 1 5 8 10 9 6 - 12 0 0 0 7 4 2 3 11 5 9 8 10 1 6 - 12 0 0 0 7 4 2 3 11 9 1 8 10 5 6 - 12 0 0 0 7 4 5 3 11 2 6 8 1 10 9 - 12 0 0 0 7 4 5 3 11 6 10 8 1 2 9 - 12 0 0 0 7 4 5 3 11 10 2 8 1 6 9 - 12 0 0 0 7 4 6 3 11 1 5 8 2 9 10 - 12 0 0 0 7 4 6 3 11 5 9 8 2 1 10 - 12 0 0 0 7 4 6 3 11 9 1 8 2 5 10 - 12 0 0 0 7 4 9 3 11 2 6 8 5 10 1 - 12 0 0 0 7 4 9 3 11 6 10 8 5 2 1 - 12 0 0 0 7 4 9 3 11 10 2 8 5 6 1 - 12 0 0 0 7 4 10 3 11 1 5 8 6 9 2 - 12 0 0 0 7 4 10 3 11 5 9 8 6 1 2 - 12 0 0 0 7 4 10 3 11 9 1 8 6 5 2 - 12 0 0 0 9 4 2 5 1 3 7 8 10 11 6 - 12 0 0 0 9 4 2 5 1 7 11 8 10 3 6 - 12 0 0 0 9 4 2 5 1 11 3 8 10 7 6 - 12 0 0 0 9 4 3 5 1 2 6 8 11 10 7 - 12 0 0 0 9 4 3 5 1 6 10 8 11 2 7 - 12 0 0 0 9 4 3 5 1 10 2 8 11 6 7 - 12 0 0 0 9 4 6 5 1 3 7 8 2 11 10 - 12 0 0 0 9 4 6 5 1 7 11 8 2 3 10 - 12 0 0 0 9 4 6 5 1 11 3 8 2 7 10 - 12 0 0 0 9 4 7 5 1 2 6 8 3 10 11 - 12 0 0 0 9 4 7 5 1 6 10 8 3 2 11 - 12 0 0 0 9 4 7 5 1 10 2 8 3 6 11 - 12 0 0 0 9 4 10 5 1 3 7 8 6 11 2 - 12 0 0 0 9 4 10 5 1 7 11 8 6 3 2 - 12 0 0 0 9 4 10 5 1 11 3 8 6 7 2 - 12 0 0 0 9 4 11 5 1 2 6 8 7 10 3 - 12 0 0 0 9 4 11 5 1 6 10 8 7 2 3 - 12 0 0 0 9 4 11 5 1 10 2 8 7 6 3 - 12 0 0 0 10 4 1 6 2 3 7 8 9 11 5 - 12 0 0 0 10 4 1 6 2 7 11 8 9 3 5 - 12 0 0 0 10 4 1 6 2 11 3 8 9 7 5 - 12 0 0 0 10 4 3 6 2 1 5 8 11 9 7 - 12 0 0 0 10 4 3 6 2 5 9 8 11 1 7 - 12 0 0 0 10 4 3 6 2 9 1 8 11 5 7 - 12 0 0 0 10 4 5 6 2 3 7 8 1 11 9 - 12 0 0 0 10 4 5 6 2 7 11 8 1 3 9 - 12 0 0 0 10 4 5 6 2 11 3 8 1 7 9 - 12 0 0 0 10 4 7 6 2 1 5 8 3 9 11 - 12 0 0 0 10 4 7 6 2 5 9 8 3 1 11 - 12 0 0 0 10 4 7 6 2 9 1 8 3 5 11 - 12 0 0 0 10 4 9 6 2 3 7 8 5 11 1 - 12 0 0 0 10 4 9 6 2 7 11 8 5 3 1 - 12 0 0 0 10 4 9 6 2 11 3 8 5 7 1 - 12 0 0 0 10 4 11 6 2 1 5 8 7 9 3 - 12 0 0 0 10 4 11 6 2 5 9 8 7 1 3 - 12 0 0 0 10 4 11 6 2 9 1 8 7 5 3 - 12 0 0 0 11 4 1 7 3 2 6 8 9 10 5 - 12 0 0 0 11 4 1 7 3 6 10 8 9 2 5 - 12 0 0 0 11 4 1 7 3 10 2 8 9 6 5 - 12 0 0 0 11 4 2 7 3 1 5 8 10 9 6 - 12 0 0 0 11 4 2 7 3 5 9 8 10 1 6 - 12 0 0 0 11 4 2 7 3 9 1 8 10 5 6 - 12 0 0 0 11 4 5 7 3 2 6 8 1 10 9 - 12 0 0 0 11 4 5 7 3 6 10 8 1 2 9 - 12 0 0 0 11 4 5 7 3 10 2 8 1 6 9 - 12 0 0 0 11 4 6 7 3 1 5 8 2 9 10 - 12 0 0 0 11 4 6 7 3 5 9 8 2 1 10 - 12 0 0 0 11 4 6 7 3 9 1 8 2 5 10 - 12 0 0 0 11 4 9 7 3 2 6 8 5 10 1 - 12 0 0 0 11 4 9 7 3 6 10 8 5 2 1 - 12 0 0 0 11 4 9 7 3 10 2 8 5 6 1 - 12 0 0 0 11 4 10 7 3 1 5 8 6 9 2 - 12 0 0 0 11 4 10 7 3 5 9 8 6 1 2 - 12 0 0 0 11 4 10 7 3 9 1 8 6 5 2 - 12 0 0 found 162 solutions.

Last edited by calebprime; 15th February 2018 at 02:06 AM.
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Old 15th February 2018, 03:29 AM   #146
calebprime
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Join Date: Jul 2006
Posts: 11,937
Heh. Anyone remember the charming Voices of Old People on Bookends?


Quote:
Still haven't seen the doctor I was seein'; there's been blood for the last, eh, forty-eight hours, and I can't get up the mucus for the last, eh, two, three months... oh yes, and I maintain, I maintain strongly, to this minute, I don't think it's an ordinary cold
When I grow up, I want to be an old fiend, not some old friend. Something hideous but actively willing, and not necessarily friendly.


Code:
OLD FIENDS


0,  4,  5,  8,  3,  9,  10, 1,  11, 7,  6,  2
4,  8,  9,  1,  7,  2,  0,  5,  3,  10, 11, 6
8,  1,  2,  5,  10, 6,  4,  9,  7,  0,  3,  11
1,  5,  6,  9,  0,  11, 8,  2,  10, 4,  7,  3
5,  9,  11, 2,  4,  3,  1,  6,  0,  8,  10, 7
9,  2,  3,  6,  8,  7,  5,  11, 4,  1,  0,  10
2,  6,  7,  11, 1,  10, 9,  3,  8,  5,  4,  0
6,  11, 10, 3,  5,  0,  2,  7,  1,  9,  8,  4
11, 3,  0,  7,  9,  4,  6,  10, 5,  2,  1,  8
3,  7,  4,  10, 2,  8,  11, 0,  9,  6,  5,  1
7,  10, 8,  0,  6,  1,  3,  4,  2,  11, 9,  5
10, 0,  1,  4,  11, 5,  7,  8,  6,  3,  2,  9




C,  E,  F,  Ab, Eb, A,  Bb, Db, B,  G,  F#, D
E,  Ab, A,  Db, G,  D,  C,  F,  Eb, Bb, B,  F#
Ab, Db, D,  F,  Bb, F#, E,  A,  G,  C,  Eb, B
Db, F,  F#, A,  C,  B,  Ab, D,  Bb, E,  G,  Eb
F,  A,  B,  D,  E,  Eb, Db, F#, C,  Ab, Bb, G
A,  D,  Eb, F#, Ab, G,  F,  B,  E,  Db, C,  Bb
D,  F#, G,  B,  Db, Bb, A,  Eb, Ab, F,  E,  C
F#, B,  Bb, Eb, F,  C,  D,  G,  Db, A,  Ab, E
B,  Eb, C,  G,  A,  E,  F#, Bb, F,  D,  Db, Ab
Eb, G,  E,  Bb, D,  Ab, B,  C,  A,  F#, F,  Db
G,  Bb, Ab, C,  F#, Db, Eb, E,  D,  B,  A,  F
Bb, C,  Db, E,  B,  F,  G,  Ab, F#, Eb, D,  A



Still haven't seen the doctor I was seein'; there's been blood for the last, eh, forty-eight hours, and I can't get up the mucus for the last, eh, two, three months... oh yes, and I maintain, I maintain strongly, to this minute, I don't think it's an ordinary cold


C,  E,  F,  Ab, Eb, A,  Bb, Db, B,  G,  F#, D
Ab, C,  Db, E,  B,  F,  F#, A,  G,  Eb, D,  Bb
G,  B,  C,  Eb, Bb, E,  F,  Ab, F#, D,  Db, A
E,  Ab, A,  C,  G,  Db, D,  F,  Eb, B,  Bb, F#
A,  Db, D,  F,  C,  F#, G,  Bb, Ab, E,  Eb, B
Eb, G,  Ab, B,  F#, C,  Db, E,  D,  Bb, A,  F
D,  F#, G,  Bb, F,  B,  C,  Eb, Db, A,  Ab, E
B,  Eb, E,  G,  D,  Ab, A,  C,  Bb, F#, F,  Db
Db, F,  F#, A,  E,  Bb, B,  D,  C,  Ab, G,  Eb
F,  A,  Bb, Db, Ab, D,  Eb, F#, E,  C,  B,  G
F#, Bb, B,  D,  A,  Eb, E,  G,  F,  Db, C,  Ab
Bb, D,  Eb, F#, Db, G,  Ab, B,  A,  F,  E,  C






 ....................3  2  1  0  11 10 9  8  7  6  5  4
r/4/8:...............C  A  Ab E  F# Bb B  Eb F  D  C# G  
.....................c........e..............f............
...........................ab.............eb..............
........................a...........bb.............c#.....
.......................................b..............g...
.................................f#.............d

3,0,7,1,8,2,10,5,9,4,11,6

M) modulus: 12 P) permutation: 3,0,7,1,8,2,10,5,9,4,11,6 C) center interval of self-similarity: 4 I) invert test (use sums instead of differences): off O) minimum number of occurrences of center: 10 D) maximum deviation from center: 11 S) maximum sum of all deviations: 12 F) fixed-position notes: 0:0 E) excluded cells within range: R) excluded intervals within range: A) filter original solution: on B) filter permuted solution: off X) permutation depth: 2 N) number of solutions to print: 1000 W) wrap: on 1) perform new full search 2) search within results of last full search 9) quit enter choice: 1 working... 0 8 1 4 2 9 3 5 6 10 7 11 - 12 0 0 0 8 1 4 2 9 7 5 6 10 11 3 - 12 0 0 0 8 1 4 2 9 11 5 6 10 3 7 - 12 0 0 0 8 1 4 3 9 2 5 7 11 6 10 - 12 0 0 0 8 1 4 3 9 6 5 7 11 10 2 - 12 0 0 0 8 1 4 3 9 10 5 7 11 2 6 - 12 0 0 0 8 1 4 6 9 3 5 10 2 7 11 - 12 0 0 0 8 1 4 6 9 7 5 10 2 11 3 - 12 0 0 0 8 1 4 6 9 11 5 10 2 3 7 - 12 0 0 0 8 1 4 7 9 2 5 11 3 6 10 - 12 0 0 0 8 1 4 7 9 6 5 11 3 10 2 - 12 0 0 0 8 1 4 7 9 10 5 11 3 2 6 - 12 0 0 0 8 1 4 10 9 3 5 2 6 7 11 - 12 0 0 0 8 1 4 10 9 7 5 2 6 11 3 - 12 0 0 0 8 1 4 10 9 11 5 2 6 3 7 - 12 0 0 0 8 1 4 11 9 2 5 3 7 6 10 - 12 0 0 0 8 1 4 11 9 6 5 3 7 10 2 - 12 0 0 0 8 1 4 11 9 10 5 3 7 2 6 - 12 0 0 0 8 2 4 1 10 3 6 5 9 7 11 - 12 0 0 0 8 2 4 1 10 7 6 5 9 11 3 - 12 0 0 0 8 2 4 1 10 11 6 5 9 3 7 - 12 0 0 0 8 2 4 3 10 1 6 7 11 5 9 - 12 0 0 0 8 2 4 3 10 5 6 7 11 9 1 - 12 0 0 0 8 2 4 3 10 9 6 7 11 1 5 - 12 0 0 0 8 2 4 5 10 3 6 9 1 7 11 - 12 0 0 0 8 2 4 5 10 7 6 9 1 11 3 - 12 0 0 0 8 2 4 5 10 11 6 9 1 3 7 - 12 0 0 0 8 2 4 7 10 1 6 11 3 5 9 - 12 0 0 0 8 2 4 7 10 5 6 11 3 9 1 - 12 0 0 0 8 2 4 7 10 9 6 11 3 1 5 - 12 0 0 0 8 2 4 9 10 3 6 1 5 7 11 - 12 0 0 0 8 2 4 9 10 7 6 1 5 11 3 - 12 0 0 0 8 2 4 9 10 11 6 1 5 3 7 - 12 0 0 0 8 2 4 11 10 1 6 3 7 5 9 - 12 0 0 0 8 2 4 11 10 5 6 3 7 9 1 - 12 0 0 0 8 2 4 11 10 9 6 3 7 1 5 - 12 0 0 0 8 3 4 1 11 2 7 5 9 6 10 - 12 0 0 0 8 3 4 1 11 6 7 5 9 10 2 - 12 0 0 0 8 3 4 1 11 10 7 5 9 2 6 - 12 0 0 0 8 3 4 2 11 1 7 6 10 5 9 - 12 0 0 0 8 3 4 2 11 5 7 6 10 9 1 - 12 0 0 0 8 3 4 2 11 9 7 6 10 1 5 - 12 0 0 0 8 3 4 5 11 2 7 9 1 6 10 - 12 0 0 0 8 3 4 5 11 6 7 9 1 10 2 - 12 0 0 0 8 3 4 5 11 10 7 9 1 2 6 - 12 0 0 0 8 3 4 6 11 1 7 10 2 5 9 - 12 0 0 0 8 3 4 6 11 5 7 10 2 9 1 - 12 0 0 0 8 3 4 6 11 9 7 10 2 1 5 - 12 0 0 0 8 3 4 9 11 2 7 1 5 6 10 - 12 0 0 0 8 3 4 9 11 6 7 1 5 10 2 - 12 0 0 0 8 3 4 9 11 10 7 1 5 2 6 - 12 0 0 0 8 3 4 10 11 1 7 2 6 5 9 - 12 0 0 0 8 3 4 10 11 5 7 2 6 9 1 - 12 0 0 0 8 3 4 10 11 9 7 2 6 1 5 - 12 0 0 0 8 5 4 2 1 3 9 6 10 7 11 - 12 0 0 0 8 5 4 2 1 7 9 6 10 11 3 - 12 0 0 0 8 5 4 2 1 11 9 6 10 3 7 - 12 0 0 0 8 5 4 3 1 2 9 7 11 6 10 - 12 0 0 0 8 5 4 3 1 6 9 7 11 10 2 - 12 0 0 0 8 5 4 3 1 10 9 7 11 2 6 - 12 0 0 0 8 5 4 6 1 3 9 10 2 7 11 - 12 0 0 0 8 5 4 6 1 7 9 10 2 11 3 - 12 0 0 0 8 5 4 6 1 11 9 10 2 3 7 - 12 0 0 0 8 5 4 7 1 2 9 11 3 6 10 - 12 0 0 0 8 5 4 7 1 6 9 11 3 10 2 - 12 0 0 0 8 5 4 7 1 10 9 11 3 2 6 - 12 0 0 0 8 5 4 10 1 3 9 2 6 7 11 - 12 0 0 0 8 5 4 10 1 7 9 2 6 11 3 - 12 0 0 0 8 5 4 10 1 11 9 2 6 3 7 - 12 0 0 0 8 5 4 11 1 2 9 3 7 6 10 - 12 0 0 0 8 5 4 11 1 6 9 3 7 10 2 - 12 0 0 0 8 5 4 11 1 10 9 3 7 2 6 - 12 0 0 0 8 6 4 1 2 3 10 5 9 7 11 - 12 0 0 0 8 6 4 1 2 7 10 5 9 11 3 - 12 0 0 0 8 6 4 1 2 11 10 5 9 3 7 - 12 0 0 0 8 6 4 3 2 1 10 7 11 5 9 - 12 0 0 0 8 6 4 3 2 5 10 7 11 9 1 - 12 0 0 0 8 6 4 3 2 9 10 7 11 1 5 - 12 0 0 0 8 6 4 5 2 3 10 9 1 7 11 - 12 0 0 0 8 6 4 5 2 7 10 9 1 11 3 - 12 0 0 0 8 6 4 5 2 11 10 9 1 3 7 - 12 0 0 0 8 6 4 7 2 1 10 11 3 5 9 - 12 0 0 0 8 6 4 7 2 5 10 11 3 9 1 - 12 0 0 0 8 6 4 7 2 9 10 11 3 1 5 - 12 0 0 0 8 6 4 9 2 3 10 1 5 7 11 - 12 0 0 0 8 6 4 9 2 7 10 1 5 11 3 - 12 0 0 0 8 6 4 9 2 11 10 1 5 3 7 - 12 0 0 0 8 6 4 11 2 1 10 3 7 5 9 - 12 0 0 0 8 6 4 11 2 5 10 3 7 9 1 - 12 0 0 0 8 6 4 11 2 9 10 3 7 1 5 - 12 0 0 0 8 7 4 1 3 2 11 5 9 6 10 - 12 0 0 0 8 7 4 1 3 6 11 5 9 10 2 - 12 0 0 0 8 7 4 1 3 10 11 5 9 2 6 - 12 0 0 0 8 7 4 2 3 1 11 6 10 5 9 - 12 0 0 0 8 7 4 2 3 5 11 6 10 9 1 - 12 0 0 0 8 7 4 2 3 9 11 6 10 1 5 - 12 0 0 0 8 7 4 5 3 2 11 9 1 6 10 - 12 0 0 0 8 7 4 5 3 6 11 9 1 10 2 - 12 0 0 0 8 7 4 5 3 10 11 9 1 2 6 - 12 0 0 0 8 7 4 6 3 1 11 10 2 5 9 - 12 0 0 0 8 7 4 6 3 5 11 10 2 9 1 - 12 0 0 0 8 7 4 6 3 9 11 10 2 1 5 - 12 0 0 0 8 7 4 9 3 2 11 1 5 6 10 - 12 0 0 0 8 7 4 9 3 6 11 1 5 10 2 - 12 0 0 0 8 7 4 9 3 10 11 1 5 2 6 - 12 0 0 0 8 7 4 10 3 1 11 2 6 5 9 - 12 0 0 0 8 7 4 10 3 5 11 2 6 9 1 - 12 0 0 0 8 7 4 10 3 9 11 2 6 1 5 - 12 0 0 0 8 9 4 2 5 3 1 6 10 7 11 - 12 0 0 0 8 9 4 2 5 7 1 6 10 11 3 - 12 0 0 0 8 9 4 2 5 11 1 6 10 3 7 - 12 0 0 0 8 9 4 3 5 2 1 7 11 6 10 - 12 0 0 0 8 9 4 3 5 6 1 7 11 10 2 - 12 0 0 0 8 9 4 3 5 10 1 7 11 2 6 - 12 0 0 0 8 9 4 6 5 3 1 10 2 7 11 - 12 0 0 0 8 9 4 6 5 7 1 10 2 11 3 - 12 0 0 0 8 9 4 6 5 11 1 10 2 3 7 - 12 0 0 0 8 9 4 7 5 2 1 11 3 6 10 - 12 0 0 0 8 9 4 7 5 6 1 11 3 10 2 - 12 0 0 0 8 9 4 7 5 10 1 11 3 2 6 - 12 0 0 0 8 9 4 10 5 3 1 2 6 7 11 - 12 0 0 0 8 9 4 10 5 7 1 2 6 11 3 - 12 0 0 0 8 9 4 10 5 11 1 2 6 3 7 - 12 0 0 0 8 9 4 11 5 2 1 3 7 6 10 - 12 0 0 0 8 9 4 11 5 6 1 3 7 10 2 - 12 0 0 0 8 9 4 11 5 10 1 3 7 2 6 - 12 0 0 0 8 10 4 1 6 3 2 5 9 7 11 - 12 0 0 0 8 10 4 1 6 7 2 5 9 11 3 - 12 0 0 0 8 10 4 1 6 11 2 5 9 3 7 - 12 0 0 0 8 10 4 3 6 1 2 7 11 5 9 - 12 0 0 0 8 10 4 3 6 5 2 7 11 9 1 - 12 0 0 0 8 10 4 3 6 9 2 7 11 1 5 - 12 0 0 0 8 10 4 5 6 3 2 9 1 7 11 - 12 0 0 0 8 10 4 5 6 7 2 9 1 11 3 - 12 0 0 0 8 10 4 5 6 11 2 9 1 3 7 - 12 0 0 0 8 10 4 7 6 1 2 11 3 5 9 - 12 0 0 0 8 10 4 7 6 5 2 11 3 9 1 - 12 0 0 0 8 10 4 7 6 9 2 11 3 1 5 - 12 0 0 0 8 10 4 9 6 3 2 1 5 7 11 - 12 0 0 0 8 10 4 9 6 7 2 1 5 11 3 - 12 0 0 0 8 10 4 9 6 11 2 1 5 3 7 - 12 0 0 0 8 10 4 11 6 1 2 3 7 5 9 - 12 0 0 0 8 10 4 11 6 5 2 3 7 9 1 - 12 0 0 0 8 10 4 11 6 9 2 3 7 1 5 - 12 0 0 0 8 11 4 1 7 2 3 5 9 6 10 - 12 0 0 0 8 11 4 1 7 6 3 5 9 10 2 - 12 0 0 0 8 11 4 1 7 10 3 5 9 2 6 - 12 0 0 0 8 11 4 2 7 1 3 6 10 5 9 - 12 0 0 0 8 11 4 2 7 5 3 6 10 9 1 - 12 0 0 0 8 11 4 2 7 9 3 6 10 1 5 - 12 0 0 0 8 11 4 5 7 2 3 9 1 6 10 - 12 0 0 0 8 11 4 5 7 6 3 9 1 10 2 - 12 0 0 0 8 11 4 5 7 10 3 9 1 2 6 - 12 0 0 0 8 11 4 6 7 1 3 10 2 5 9 - 12 0 0 0 8 11 4 6 7 5 3 10 2 9 1 - 12 0 0 0 8 11 4 6 7 9 3 10 2 1 5 - 12 0 0 0 8 11 4 9 7 2 3 1 5 6 10 - 12 0 0 0 8 11 4 9 7 6 3 1 5 10 2 - 12 0 0 0 8 11 4 9 7 10 3 1 5 2 6 - 12 0 0 0 8 11 4 10 7 1 3 2 6 5 9 - 12 0 0 0 8 11 4 10 7 5 3 2 6 9 1 - 12 0 0 0 8 11 4 10 7 9 3 2 6 1 5 - 12 0 0 found 162 solutions.
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Old 15th February 2018, 09:34 AM   #147
calebprime
moleman
 
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Join Date: Jul 2006
Posts: 11,937
La La Land is a tritone nest. Has good every-other self-sim and a fairly good complete orbit up a minor third, with 32 other solutions with the same orbit.


Code:
0,  2,  9,  4,  1,  11, 5,  7,  10, 3,  8,  6
2,  4,  11, 7,  3,  6,  0,  9,  1,  5,  10, 8
4,  7,  6,  9,  5,  8,  2,  11, 3,  0,  1,  10
7,  9,  8,  11, 0,  10, 4,  6,  5,  2,  3,  1
9,  11, 10, 6,  2,  1,  7,  8,  0,  4,  5,  3
11, 6,  1,  8,  4,  3,  9,  10, 2,  7,  0,  5
6,  8,  3,  10, 7,  5,  11, 1,  4,  9,  2,  0
8,  10, 5,  1,  9,  0,  6,  3,  7,  11, 4,  2
10, 1,  0,  3,  11, 2,  8,  5,  9,  6,  7,  4
1,  3,  2,  5,  6,  4,  10, 0,  11, 8,  9,  7
3,  5,  4,  0,  8,  7,  1,  2,  6,  10, 11, 9
5,  0,  7,  2,  10, 9,  3,  4,  8,  1,  6,  11



C,  D,  A,  E,  C#, B,  F,  G,  Bb, Eb, Ab, Gb
D,  E,  B,  G,  Eb, Gb, C,  A,  C#, F,  Bb, Ab
E,  G,  Gb, A,  F,  Ab, D,  B,  Eb, C,  C#, Bb
G,  A,  Ab, B,  C,  Bb, E,  Gb, F,  D,  Eb, C#
A,  B,  Bb, Gb, D,  C#, G,  Ab, C,  E,  F,  Eb
B,  Gb, C#, Ab, E,  Eb, A,  Bb, D,  G,  C,  F
Gb, Ab, Eb, Bb, G,  F,  B,  C#, E,  A,  D,  C
Ab, Bb, F,  C#, A,  C,  Gb, Eb, G,  B,  E,  D
Bb, C#, C,  Eb, B,  D,  Ab, F,  A,  Gb, G,  E
C#, Eb, D,  F,  Gb, E,  Bb, C,  B,  Ab, A,  G
Eb, F,  E,  C,  Ab, G,  C#, D,  Gb, Bb, B,  A
F,  C,  G,  D,  Bb, A,  Eb, E,  Ab, C#, Gb, B


La La Land


C,  D,  A,  E,  C#, B,  F,  G,  Bb, Eb, Ab, Gb
Bb, C,  G,  D,  B,  A,  Eb, F,  Ab, C#, Gb, E
Eb, F,  C,  G,  E,  D,  Ab, Bb, C#, Gb, B,  A
Ab, Bb, F,  C,  A,  G,  C#, Eb, Gb, B,  E,  D
B,  C#, Ab, Eb, C,  Bb, E,  Gb, A,  D,  G,  F
C#, Eb, Bb, F,  D,  C,  Gb, Ab, B,  E,  A,  G
G,  A,  E,  B,  Ab, Gb, C,  D,  F,  Bb, Eb, C#
F,  G,  D,  A,  Gb, E,  Bb, C,  Eb, Ab, C#, B
D,  E,  B,  Gb, Eb, C#, G,  A,  C,  F,  Bb, Ab
A,  B,  Gb, C#, Bb, Ab, D,  E,  G,  C,  F,  Eb
E,  Gb, C#, Ab, F,  Eb, A,  B,  D,  G,  C,  Bb
Gb, Ab, Eb, Bb, G,  F,  B,  C#, E,  A,  D,  C


0   1   2   3   4   5   6   7   8   9   10  11  
Eb, F,  C,  G,  E,  D,  Ab, Bb, C#, Gb, B,  A
........c...........d.......................a..
................e...............c#......b......
....f.......g...............bb.................
eb......................ab..........gb.........

2,5,11,4,8,10,1,3,7,0,6,9


M) modulus: 12
P) permutation: 2,5,11,4,8,10,1,3,7,0,6,9
C) center interval of self-similarity: 3
I) invert test (use sums instead of differences): off
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 11
S) maximum sum of all deviations: 12
F) fixed-position notes: 0:0
E) excluded cells within range: 
R) excluded intervals within range: 
A) filter original solution: on
B) filter permuted solution: off
X) permutation depth: 2
N) number of solutions to print: 1000
W) wrap: on

1) perform new full search
2) search within results of last full search
9) quit

enter choice: 1
working...
0 1 3 2 5 4 10 11 8 9 7 6 - 12 0 0
0 1 3 5 8 4 10 2 11 9 7 6 - 12 0 0
0 1 3 8 11 4 10 5 2 9 7 6 - 12 0 0
0 1 3 11 2 4 10 8 5 9 7 6 - 12 0 0
0 2 3 1 4 5 11 10 7 9 8 6 - 12 0 0
0 2 3 4 7 5 11 1 10 9 8 6 - 12 0 0
0 2 3 7 10 5 11 4 1 9 8 6 - 12 0 0
0 2 3 10 1 5 11 7 4 9 8 6 - 12 0 0
0 4 3 2 5 7 1 11 8 9 10 6 - 12 0 0
0 4 3 5 8 7 1 2 11 9 10 6 - 12 0 0
0 4 3 8 11 7 1 5 2 9 10 6 - 12 0 0
0 4 3 11 2 7 1 8 5 9 10 6 - 12 0 0
0 5 3 1 4 8 2 10 7 9 11 6 - 12 0 0
0 5 3 4 7 8 2 1 10 9 11 6 - 12 0 0
0 5 3 7 10 8 2 4 1 9 11 6 - 12 0 0
0 5 3 10 1 8 2 7 4 9 11 6 - 12 0 0
0 7 3 2 5 10 4 11 8 9 1 6 - 12 0 0
0 7 3 5 8 10 4 2 11 9 1 6 - 12 0 0
0 7 3 8 11 10 4 5 2 9 1 6 - 12 0 0
0 7 3 11 2 10 4 8 5 9 1 6 - 12 0 0
0 8 3 1 4 11 5 10 7 9 2 6 - 12 0 0
0 8 3 4 7 11 5 1 10 9 2 6 - 12 0 0
0 8 3 7 10 11 5 4 1 9 2 6 - 12 0 0
0 8 3 10 1 11 5 7 4 9 2 6 - 12 0 0
0 10 3 2 5 1 7 11 8 9 4 6 - 12 0 0
0 10 3 5 8 1 7 2 11 9 4 6 - 12 0 0
0 10 3 8 11 1 7 5 2 9 4 6 - 12 0 0
0 10 3 11 2 1 7 8 5 9 4 6 - 12 0 0
0 11 3 1 4 2 8 10 7 9 5 6 - 12 0 0
0 11 3 4 7 2 8 1 10 9 5 6 - 12 0 0
0 11 3 7 10 2 8 4 1 9 5 6 - 12 0 0
0 11 3 10 1 2 8 7 4 9 5 6 - 12 0 0
found 32 solutions.
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Old 15th February 2018, 12:25 PM   #148
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This is, I hope, not what I've been doing with my life:

Quote:
The voice of Gy-Rah welcomed listeners to his show. He said, "I will begin with a new poem called 'My Dark Itching.'"

...

"My dark itching protean
results in terpsicorean
actions dissilient,
mother,
I need my linement."
_Cruddy_- page 276

A smaller opus than the way I recalled it.

Last edited by calebprime; 15th February 2018 at 12:27 PM.
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Old 16th February 2018, 03:55 AM   #149
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Originally Posted by calebprime View Post
This is, I hope, not what I've been doing with my life:


_Cruddy_- page 276

A smaller opus than the way I recalled it.
Why the Lynda Barry stuff?

If I could edit this thread, I'd cut out all the Lynda Barry stuff except for this poem, plus maybe a sodoku puzzle and a crossword puzzle.

Then I'd say: These are little anti-lessons of what I think good composition with series is NOT.

The spirit is pretty far from Will Short the Puzzlemaster. This isn't about being clever for its own sake. I can discover in myself, at least, no common ground between my love for this work and my distaste for games and his segment.

We're not gathered around the communal fire-pit swappin' stories of our first loves, our first beers, our first cars, our first kills, here. Primitive story-telling is a fine thing, it's not what we're doing.

The spirit is rather, how can we use our generative techniques and our brains and our taste to produce an audible result that is clear enough and expressive enough? How can we be influenced by music history and the techniques of the great composers who have gone before us, but without feeling crushed by the weight of history? (This feeling of the weight of history is said to be more a problem for European composers than American ones. We Americans are ignorant enough.) How can we use these techniques to write some pretty tunes and some pretty harmonies? (Pretty in the larger sense.)

I've collected my best work on something like 10 compact disks. This is --exactly -- living with the consequences of my actions! All of the stuff that's still worth hearing took a lot of work, and a lot of conscious effort, and has ****-all to do with cars, hippies, feelings, expressing myself, etc. (That is, when it was good, it was good because I had a concrete idea for some construction and I did it and it worked.)

My mistake -- and it was the natural over-optimism of youth -- was thinking that there could be any commerce between myself and the larger world with this stuff.

"Art for art's sake" doesn't go far enough. It's not quite right.

Swinish pleasures first. Then life for art's sake.
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Old 16th February 2018, 04:11 AM   #150
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today's series: Palin Dome

It has a barely-tight-enough orbit at the tritone, which orbits seem to have thousands of other solutions. So I heavily filtered the more than 3,000 other solutions -- no 012, 036, 024, 027.

Code:
row: 0 2 6 3 7 9 10 5 4 8 1 11
col: .
dhv: 

0,  2,  6,  3,  7,  9,  10, 5,  4,  8,  1,  11
2,  3,  9,  5,  8,  11, 0,  6,  7,  10, 4,  1
3,  5,  11, 6,  10, 1,  2,  9,  8,  0,  7,  4
5,  6,  1,  9,  0,  4,  3,  11, 10, 2,  8,  7
6,  9,  4,  11, 2,  7,  5,  1,  0,  3,  10, 8
9,  11, 7,  1,  3,  8,  6,  4,  2,  5,  0,  10
11, 1,  8,  4,  5,  10, 9,  7,  3,  6,  2,  0
1,  4,  10, 7,  6,  0,  11, 8,  5,  9,  3,  2
4,  7,  0,  8,  9,  2,  1,  10, 6,  11, 5,  3
7,  8,  2,  10, 11, 3,  4,  0,  9,  1,  6,  5
8,  10, 3,  0,  1,  5,  7,  2,  11, 4,  9,  6
10, 0,  5,  2,  4,  6,  8,  3,  1,  7,  11, 9




2,1,2,1,3,2,2,3,3,1,2,2

C,  D,  F#, Eb, G,  A,  Bb, F,  E,  Ab, Db, B
D,  Eb, A,  F,  Ab, B,  C,  F#, G,  Bb, E,  Db
Eb, F,  B,  F#, Bb, Db, D,  A,  Ab, C,  G,  E
F,  F#, Db, A,  C,  E,  Eb, B,  Bb, D,  Ab, G
F#, A,  E,  B,  D,  G,  F,  Db, C,  Eb, Bb, Ab
A,  B,  G,  Db, Eb, Ab, F#, E,  D,  F,  C,  Bb
B,  Db, Ab, E,  F,  Bb, A,  G,  Eb, F#, D,  C
Db, E,  Bb, G,  F#, C,  B,  Ab, F,  A,  Eb, D
E,  G,  C,  Ab, A,  D,  Db, Bb, F#, B,  F,  Eb
G,  Ab, D,  Bb, B,  Eb, E,  C,  A,  Db, F#, F
Ab, Bb, Eb, C,  Db, F,  G,  D,  B,  E,  A,  F#
Bb, C,  F,  D,  E,  F#, Ab, Eb, Db, G,  B,  A



Palin Dome

C,  D,  F#, Eb, G,  A,  Bb, F,  E,  Ab, Db, B
Bb, C,  E,  Db, F,  G,  Ab, Eb, D,  F#, B,  A
F#, Ab, C,  A,  Db, Eb, E,  B,  Bb, D,  G,  F       -------->
A,  B,  Eb, C,  E,  F#, G,  D,  Db, F,  Bb, Ab
F,  G,  B,  Ab, C,  D,  Eb, Bb, A,  Db, F#, E
Eb, F,  A,  F#, Bb, C,  Db, Ab, G,  B,  E,  D
D,  E,  Ab, F,  A,  B,  C,  G,  F#, Bb, Eb, Db
G,  A,  Db, Bb, D,  E,  F,  C,  B,  Eb, Ab, F#
Ab, Bb, D,  B,  Eb, F,  F#, Db, C,  E,  A,  G
E,  F#, Bb, G,  B,  Db, D,  A,  Ab, C,  F,  Eb
B,  Db, F,  D,  F#, Ab, A,  E,  Eb, G,  C,  Bb
Db, Eb, G,  E,  Ab, Bb, B,  F#, F,  A,  D,  C



0   1   2   3   4   5   6   7   8   9   10  11  
F#, Ab, C,  A,  Db, Eb, E,  B,  Bb, D,  G,  F 
........c...........................d...........
f#..................eb..................g.......
............a...................bb..........f...
........................e.......................
....ab..........db..........b


2,9,0,5,10,3,8,11,6,1,4,7

found 3840 solutions.

M) modulus: 12
P) permutation: 2,9,0,5,10,3,8,11,6,1,4,7
C) center interval of self-similarity: 6
I) invert test (use sums instead of differences): off
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 11
S) maximum sum of all deviations: 12
F) fixed-position notes: 0:0
E) excluded cells within range: 0,1,2:3 0,3,6:3 0,2,4:3 0,2,7:3
R) excluded intervals within range: 
A) filter original solution: on
B) filter permuted solution: off
X) permutation depth: 2
N) number of solutions to print: 5000
W) wrap: on

1) perform new full search
2) search within results of last full search
9) quit

enter choice: 2
working...
0 1 6 2 9 8 5 4 11 7 3 10 - 12 0 0
0 1 6 2 9 8 5 10 11 7 3 4 - 12 0 0
0 1 6 2 10 8 5 3 11 7 4 9 - 12 0 0
0 1 6 3 2 9 5 10 11 7 8 4 - 12 0 0
0 1 6 3 5 9 2 10 8 7 11 4 - 12 0 0
0 1 6 3 5 9 10 2 4 7 11 8 - 12 0 0
0 1 6 3 11 9 2 10 8 7 5 4 - 12 0 0
0 1 6 5 9 11 2 4 8 7 3 10 - 12 0 0
0 1 6 5 9 11 2 10 8 7 3 4 - 12 0 0
0 1 6 5 9 11 8 4 2 7 3 10 - 12 0 0
0 1 6 5 9 11 8 10 2 7 3 4 - 12 0 0
0 1 6 5 10 11 2 3 8 7 4 9 - 12 0 0
0 1 6 5 10 11 8 3 2 7 4 9 - 12 0 0
0 1 6 9 2 3 10 11 4 7 8 5 - 12 0 0
0 1 6 9 2 3 11 10 5 7 8 4 - 12 0 0
0 1 6 9 5 3 2 10 8 7 11 4 - 12 0 0
0 1 6 9 8 3 4 11 10 7 2 5 - 12 0 0
0 1 6 9 11 3 2 10 8 7 5 4 - 12 0 0
0 1 6 9 11 3 10 2 4 7 5 8 - 12 0 0
0 2 6 1 3 7 10 5 4 8 9 11 - 12 0 0
0 2 6 1 3 7 10 11 4 8 9 5 - 12 0 0
0 2 6 1 5 7 10 3 4 8 11 9 - 12 0 0
0 2 6 1 5 7 10 9 4 8 11 3 - 12 0 0
0 2 6 1 9 7 10 5 4 8 3 11 - 12 0 0
0 2 6 1 9 7 10 11 4 8 3 5 - 12 0 0
0 2 6 3 1 9 4 5 10 8 7 11 - 12 0 0
0 2 6 3 1 9 10 5 4 8 7 11 - 12 0 0
0 2 6 3 10 9 1 5 7 8 4 11 - 12 0 0
0 2 6 7 3 1 10 5 4 8 9 11 - 12 0 0
0 2 6 7 3 1 10 11 4 8 9 5 - 12 0 0
0 2 6 7 9 1 10 5 4 8 3 11 - 12 0 0
0 2 6 7 9 1 10 11 4 8 3 5 - 12 0 0
0 2 6 7 11 1 10 3 4 8 5 9 - 12 0 0
0 2 6 7 11 1 10 9 4 8 5 3 - 12 0 0
0 2 6 9 7 3 4 11 10 8 1 5 - 12 0 0
0 2 6 9 7 3 10 11 4 8 1 5 - 12 0 0
0 2 6 9 10 3 7 11 1 8 4 5 - 12 0 0
0 2 6 10 3 4 7 5 1 8 9 11 - 12 0 0
0 2 6 10 3 4 7 11 1 8 9 5 - 12 0 0
0 2 6 10 5 4 1 3 7 8 11 9 - 12 0 0
0 2 6 10 5 4 7 9 1 8 11 3 - 12 0 0
0 2 6 10 9 4 1 5 7 8 3 11 - 12 0 0
0 2 6 10 9 4 1 11 7 8 3 5 - 12 0 0
0 2 6 10 11 4 1 3 7 8 5 9 - 12 0 0
0 2 6 10 11 4 7 9 1 8 5 3 - 12 0 0
0 4 6 3 2 9 1 5 7 10 8 11 - 12 0 0
0 4 6 3 2 9 5 1 11 10 8 7 - 12 0 0
0 4 6 3 5 9 1 2 7 10 11 8 - 12 0 0
0 4 6 3 5 9 2 1 8 10 11 7 - 12 0 0
0 4 6 3 5 9 8 1 2 10 11 7 - 12 0 0
0 4 6 3 8 9 1 5 7 10 2 11 - 12 0 0
0 4 6 9 2 3 7 11 1 10 8 5 - 12 0 0
0 4 6 9 2 3 11 7 5 10 8 1 - 12 0 0
0 4 6 9 8 3 7 11 1 10 2 5 - 12 0 0
0 4 6 9 11 3 2 7 8 10 5 1 - 12 0 0
0 4 6 9 11 3 7 2 1 10 5 8 - 12 0 0
0 4 6 9 11 3 8 7 2 10 5 1 - 12 0 0
0 5 6 1 2 7 4 3 10 11 8 9 - 12 0 0
0 5 6 1 2 7 10 3 4 11 8 9 - 12 0 0
0 5 6 1 9 7 4 2 10 11 3 8 - 12 0 0
0 5 6 1 9 7 4 8 10 11 3 2 - 12 0 0
0 5 6 1 9 7 10 2 4 11 3 8 - 12 0 0
0 5 6 1 9 7 10 8 4 11 3 2 - 12 0 0
0 5 6 3 1 9 2 10 8 11 7 4 - 12 0 0
0 5 6 3 1 9 10 2 4 11 7 8 - 12 0 0
0 5 6 3 7 9 10 2 4 11 1 8 - 12 0 0
0 5 6 3 10 9 1 2 7 11 4 8 - 12 0 0
0 5 6 9 1 3 10 2 4 11 7 8 - 12 0 0
0 5 6 9 4 3 8 7 2 11 10 1 - 12 0 0
0 5 6 9 7 3 2 10 8 11 1 4 - 12 0 0
0 5 6 9 7 3 10 2 4 11 1 8 - 12 0 0
0 5 6 9 10 3 2 7 8 11 4 1 - 12 0 0
0 5 6 9 10 3 7 2 1 11 4 8 - 12 0 0
0 5 6 10 2 4 1 3 7 11 8 9 - 12 0 0
0 5 6 10 9 4 1 2 7 11 3 8 - 12 0 0
0 5 6 10 9 4 1 8 7 11 3 2 - 12 0 0
0 7 6 2 3 8 11 4 5 1 9 10 - 12 0 0
0 7 6 2 3 8 11 10 5 1 9 4 - 12 0 0
0 7 6 2 10 8 11 9 5 1 4 3 - 12 0 0
0 7 6 3 2 9 5 10 11 1 8 4 - 12 0 0
0 7 6 3 2 9 10 5 4 1 8 11 - 12 0 0
0 7 6 3 5 9 2 10 8 1 11 4 - 12 0 0
0 7 6 3 5 9 10 2 4 1 11 8 - 12 0 0
0 7 6 3 8 9 4 5 10 1 2 11 - 12 0 0
0 7 6 3 11 9 2 10 8 1 5 4 - 12 0 0
0 7 6 9 2 3 11 10 5 1 8 4 - 12 0 0
0 7 6 9 5 3 2 10 8 1 11 4 - 12 0 0
0 7 6 9 11 3 2 10 8 1 5 4 - 12 0 0
0 7 6 9 11 3 10 2 4 1 5 8 - 12 0 0
0 7 6 11 3 5 2 4 8 1 9 10 - 12 0 0
0 7 6 11 3 5 2 10 8 1 9 4 - 12 0 0
0 7 6 11 3 5 8 4 2 1 9 10 - 12 0 0
0 7 6 11 3 5 8 10 2 1 9 4 - 12 0 0
0 7 6 11 10 5 2 9 8 1 4 3 - 12 0 0
0 7 6 11 10 5 8 9 2 1 4 3 - 12 0 0
0 8 6 3 1 9 4 5 10 2 7 11 - 12 0 0
0 8 6 3 1 9 5 10 11 2 7 4 - 12 0 0
0 8 6 3 1 9 10 5 4 2 7 11 - 12 0 0
0 8 6 3 4 9 5 1 11 2 10 7 - 12 0 0
0 8 6 3 10 9 1 5 7 2 4 11 - 12 0 0
0 8 6 3 10 9 5 1 11 2 4 7 - 12 0 0
0 8 6 9 4 3 11 7 5 2 10 1 - 12 0 0
0 8 6 9 7 3 4 11 10 2 1 5 - 12 0 0
0 8 6 9 7 3 10 11 4 2 1 5 - 12 0 0
0 8 6 9 7 3 11 10 5 2 1 4 - 12 0 0
0 8 6 9 10 3 7 11 1 2 4 5 - 12 0 0
0 8 6 9 10 3 11 7 5 2 4 1 - 12 0 0
0 10 6 2 1 8 5 3 11 4 7 9 - 12 0 0
0 10 6 2 1 8 11 9 5 4 7 3 - 12 0 0
0 10 6 2 3 8 11 1 5 4 9 7 - 12 0 0
0 10 6 2 3 8 11 7 5 4 9 1 - 12 0 0
0 10 6 2 7 8 5 3 11 4 1 9 - 12 0 0
0 10 6 2 7 8 11 9 5 4 1 3 - 12 0 0
0 10 6 2 9 8 5 1 11 4 3 7 - 12 0 0
0 10 6 2 9 8 5 7 11 4 3 1 - 12 0 0
0 10 6 3 2 9 5 1 11 4 8 7 - 12 0 0
0 10 6 3 5 9 2 1 8 4 11 7 - 12 0 0
0 10 6 3 5 9 8 1 2 4 11 7 - 12 0 0
0 10 6 5 1 11 2 3 8 4 7 9 - 12 0 0
0 10 6 5 1 11 2 9 8 4 7 3 - 12 0 0
0 10 6 5 3 11 2 1 8 4 9 7 - 12 0 0
0 10 6 5 3 11 2 7 8 4 9 1 - 12 0 0
0 10 6 5 9 11 2 1 8 4 3 7 - 12 0 0
0 10 6 5 9 11 2 7 8 4 3 1 - 12 0 0
0 10 6 9 2 3 11 7 5 4 8 1 - 12 0 0
0 10 6 9 11 3 2 7 8 4 5 1 - 12 0 0
0 10 6 9 11 3 8 7 2 4 5 1 - 12 0 0
0 10 6 11 3 5 2 1 8 4 9 7 - 12 0 0
0 10 6 11 3 5 2 7 8 4 9 1 - 12 0 0
0 10 6 11 7 5 2 3 8 4 1 9 - 12 0 0
0 10 6 11 7 5 2 9 8 4 1 3 - 12 0 0
0 10 6 11 9 5 2 1 8 4 3 7 - 12 0 0
0 10 6 11 9 5 2 7 8 4 3 1 - 12 0 0
0 11 6 3 1 9 2 10 8 5 7 4 - 12 0 0
0 11 6 3 1 9 10 2 4 5 7 8 - 12 0 0
0 11 6 3 4 9 8 1 2 5 10 7 - 12 0 0
0 11 6 3 7 9 10 2 4 5 1 8 - 12 0 0
0 11 6 3 10 9 1 2 7 5 4 8 - 12 0 0
0 11 6 3 10 9 2 1 8 5 4 7 - 12 0 0
0 11 6 7 2 1 4 9 10 5 8 3 - 12 0 0
0 11 6 7 2 1 10 9 4 5 8 3 - 12 0 0
0 11 6 7 3 1 4 2 10 5 9 8 - 12 0 0
0 11 6 7 3 1 4 8 10 5 9 2 - 12 0 0
0 11 6 7 3 1 10 2 4 5 9 8 - 12 0 0
0 11 6 7 3 1 10 8 4 5 9 2 - 12 0 0
0 11 6 9 1 3 10 2 4 5 7 8 - 12 0 0
0 11 6 9 7 3 2 10 8 5 1 4 - 12 0 0
0 11 6 9 7 3 10 2 4 5 1 8 - 12 0 0
0 11 6 9 10 3 7 2 1 5 4 8 - 12 0 0
0 11 6 10 2 4 7 9 1 5 8 3 - 12 0 0
0 11 6 10 3 4 7 2 1 5 9 8 - 12 0 0
0 11 6 10 3 4 7 8 1 5 9 2 - 12 0 0
found 152 solutions.

Last edited by calebprime; 16th February 2018 at 04:51 AM.
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Old 16th February 2018, 08:23 AM   #151
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This one is called Kicks, because they keep getting harder to find.


Code:
C,  E,  F#, G#, F,  Bb, Db, D,  B,  A,  G,  Eb
E,  G#, Bb, D,  A,  Eb, C,  F#, F,  Db, B,  G
G#, D,  Eb, F#, Db, G,  E,  Bb, A,  C,  F,  B
D,  F#, G,  Bb, C,  B,  G#, Eb, Db, E,  A,  F
F#, Bb, B,  Eb, E,  F,  D,  G,  C,  G#, Db, A
Bb, Eb, F,  G,  G#, A,  F#, B,  E,  D,  C,  Db
Eb, G,  A,  B,  D,  Db, Bb, F,  G#, F#, E,  C
G,  B,  Db, F,  F#, C,  Eb, A,  D,  Bb, G#, E
B,  F,  C,  A,  Bb, E,  G,  Db, F#, Eb, D,  G#
F,  A,  E,  Db, Eb, G#, B,  C,  Bb, G,  F#, D
A,  Db, G#, C,  G,  D,  F,  E,  Eb, B,  Bb, F#
Db, C,  D,  E,  B,  F#, A,  G#, G,  F,  Eb, Bb


Kicks


C,  E,  F#, G#, F,  Bb, Db, D,  B,  A,  G,  Eb
G#, C,  D,  E,  Db, F#, A,  Bb, G,  F,  Eb, B
F#, Bb, C,  D,  B,  E,  G,  G#, F,  Eb, Db, A
E,  G#, Bb, C,  A,  D,  F,  F#, Eb, Db, B,  G
G,  B,  Db, Eb, C,  F,  G#, A,  F#, E,  D,  Bb
D,  F#, G#, Bb, G,  C,  Eb, E,  Db, B,  A,  F
B,  Eb, F,  G,  E,  A,  C,  Db, Bb, G#, F#, D
Bb, D,  E,  F#, Eb, G#, B,  C,  A,  G,  F,  Db
Db, F,  G,  A,  F#, B,  D,  Eb, C,  Bb, G#, E
Eb, G,  A,  B,  G#, Db, E,  F,  D,  C,  Bb, F#
F,  A,  B,  Db, Bb, Eb, F#, G,  E,  D,  C,  G#
A,  Db, Eb, F,  D,  G,  Bb, B,  G#, F#, E,  C




0   1   2   3   4   5   6   7   8   9   10  11   
E,  G#, Bb, C,  A,  D,  F,  F#, Eb, Db, B,  G
................................eb..........g...
................a.......................b.......
....................d...............db..........
........bb..............f.......................
....ab......................f#..................
e...........c



M) modulus: 12
P) permutation: 3,0,7,1,6,2,9,5,10,4,11,8
C) center interval of self-similarity: 4
I) invert test (use sums instead of differences): off
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 11
S) maximum sum of all deviations: 12
F) fixed-position notes: 0:0
E) excluded cells within range: 
R) excluded intervals within range: 
A) filter original solution: on
B) filter permuted solution: off
X) permutation depth: 2
N) number of solutions to print: 5000
W) wrap: on

1) perform new full search
2) search within results of last full search
9) quit

enter choice: 1
working...
0 8 1 4 2 9 6 5 3 10 7 11 - 12 0 0
0 8 1 4 2 9 6 5 7 10 11 3 - 12 0 0
0 8 1 4 2 9 6 5 11 10 3 7 - 12 0 0
0 8 1 4 3 9 7 5 2 11 6 10 - 12 0 0
0 8 1 4 3 9 7 5 6 11 10 2 - 12 0 0
0 8 1 4 3 9 7 5 10 11 2 6 - 12 0 0
0 8 1 4 6 9 10 5 3 2 7 11 - 12 0 0
0 8 1 4 6 9 10 5 7 2 11 3 - 12 0 0
0 8 1 4 6 9 10 5 11 2 3 7 - 12 0 0
0 8 1 4 7 9 11 5 2 3 6 10 - 12 0 0
0 8 1 4 7 9 11 5 6 3 10 2 - 12 0 0
0 8 1 4 7 9 11 5 10 3 2 6 - 12 0 0
0 8 1 4 10 9 2 5 3 6 7 11 - 12 0 0
0 8 1 4 10 9 2 5 7 6 11 3 - 12 0 0
0 8 1 4 10 9 2 5 11 6 3 7 - 12 0 0
0 8 1 4 11 9 3 5 2 7 6 10 - 12 0 0
0 8 1 4 11 9 3 5 6 7 10 2 - 12 0 0
0 8 1 4 11 9 3 5 10 7 2 6 - 12 0 0
0 8 2 4 1 10 5 6 3 9 7 11 - 12 0 0
0 8 2 4 1 10 5 6 7 9 11 3 - 12 0 0
0 8 2 4 1 10 5 6 11 9 3 7 - 12 0 0
0 8 2 4 3 10 7 6 1 11 5 9 - 12 0 0
0 8 2 4 3 10 7 6 5 11 9 1 - 12 0 0
0 8 2 4 3 10 7 6 9 11 1 5 - 12 0 0
0 8 2 4 5 10 9 6 3 1 7 11 - 12 0 0
0 8 2 4 5 10 9 6 7 1 11 3 - 12 0 0
0 8 2 4 5 10 9 6 11 1 3 7 - 12 0 0
0 8 2 4 7 10 11 6 1 3 5 9 - 12 0 0
0 8 2 4 7 10 11 6 5 3 9 1 - 12 0 0
0 8 2 4 7 10 11 6 9 3 1 5 - 12 0 0
0 8 2 4 9 10 1 6 3 5 7 11 - 12 0 0
0 8 2 4 9 10 1 6 7 5 11 3 - 12 0 0
0 8 2 4 9 10 1 6 11 5 3 7 - 12 0 0
0 8 2 4 11 10 3 6 1 7 5 9 - 12 0 0
0 8 2 4 11 10 3 6 5 7 9 1 - 12 0 0
0 8 2 4 11 10 3 6 9 7 1 5 - 12 0 0
0 8 3 4 1 11 5 7 2 9 6 10 - 12 0 0
0 8 3 4 1 11 5 7 6 9 10 2 - 12 0 0
0 8 3 4 1 11 5 7 10 9 2 6 - 12 0 0
0 8 3 4 2 11 6 7 1 10 5 9 - 12 0 0
0 8 3 4 2 11 6 7 5 10 9 1 - 12 0 0
0 8 3 4 2 11 6 7 9 10 1 5 - 12 0 0
0 8 3 4 5 11 9 7 2 1 6 10 - 12 0 0
0 8 3 4 5 11 9 7 6 1 10 2 - 12 0 0
0 8 3 4 5 11 9 7 10 1 2 6 - 12 0 0
0 8 3 4 6 11 10 7 1 2 5 9 - 12 0 0
0 8 3 4 6 11 10 7 5 2 9 1 - 12 0 0
0 8 3 4 6 11 10 7 9 2 1 5 - 12 0 0
0 8 3 4 9 11 1 7 2 5 6 10 - 12 0 0
0 8 3 4 9 11 1 7 6 5 10 2 - 12 0 0
0 8 3 4 9 11 1 7 10 5 2 6 - 12 0 0
0 8 3 4 10 11 2 7 1 6 5 9 - 12 0 0
0 8 3 4 10 11 2 7 5 6 9 1 - 12 0 0
0 8 3 4 10 11 2 7 9 6 1 5 - 12 0 0
0 8 5 4 2 1 6 9 3 10 7 11 - 12 0 0
0 8 5 4 2 1 6 9 7 10 11 3 - 12 0 0
0 8 5 4 2 1 6 9 11 10 3 7 - 12 0 0
0 8 5 4 3 1 7 9 2 11 6 10 - 12 0 0
0 8 5 4 3 1 7 9 6 11 10 2 - 12 0 0
0 8 5 4 3 1 7 9 10 11 2 6 - 12 0 0
0 8 5 4 6 1 10 9 3 2 7 11 - 12 0 0
0 8 5 4 6 1 10 9 7 2 11 3 - 12 0 0
0 8 5 4 6 1 10 9 11 2 3 7 - 12 0 0
0 8 5 4 7 1 11 9 2 3 6 10 - 12 0 0
0 8 5 4 7 1 11 9 6 3 10 2 - 12 0 0
0 8 5 4 7 1 11 9 10 3 2 6 - 12 0 0
0 8 5 4 10 1 2 9 3 6 7 11 - 12 0 0
0 8 5 4 10 1 2 9 7 6 11 3 - 12 0 0
0 8 5 4 10 1 2 9 11 6 3 7 - 12 0 0
0 8 5 4 11 1 3 9 2 7 6 10 - 12 0 0
0 8 5 4 11 1 3 9 6 7 10 2 - 12 0 0
0 8 5 4 11 1 3 9 10 7 2 6 - 12 0 0
0 8 6 4 1 2 5 10 3 9 7 11 - 12 0 0
0 8 6 4 1 2 5 10 7 9 11 3 - 12 0 0
0 8 6 4 1 2 5 10 11 9 3 7 - 12 0 0
0 8 6 4 3 2 7 10 1 11 5 9 - 12 0 0
0 8 6 4 3 2 7 10 5 11 9 1 - 12 0 0
0 8 6 4 3 2 7 10 9 11 1 5 - 12 0 0
0 8 6 4 5 2 9 10 3 1 7 11 - 12 0 0
0 8 6 4 5 2 9 10 7 1 11 3 - 12 0 0
0 8 6 4 5 2 9 10 11 1 3 7 - 12 0 0
0 8 6 4 7 2 11 10 1 3 5 9 - 12 0 0
0 8 6 4 7 2 11 10 5 3 9 1 - 12 0 0
0 8 6 4 7 2 11 10 9 3 1 5 - 12 0 0
0 8 6 4 9 2 1 10 3 5 7 11 - 12 0 0
0 8 6 4 9 2 1 10 7 5 11 3 - 12 0 0
0 8 6 4 9 2 1 10 11 5 3 7 - 12 0 0
0 8 6 4 11 2 3 10 1 7 5 9 - 12 0 0
0 8 6 4 11 2 3 10 5 7 9 1 - 12 0 0
0 8 6 4 11 2 3 10 9 7 1 5 - 12 0 0
0 8 7 4 1 3 5 11 2 9 6 10 - 12 0 0
0 8 7 4 1 3 5 11 6 9 10 2 - 12 0 0
0 8 7 4 1 3 5 11 10 9 2 6 - 12 0 0
0 8 7 4 2 3 6 11 1 10 5 9 - 12 0 0
0 8 7 4 2 3 6 11 5 10 9 1 - 12 0 0
0 8 7 4 2 3 6 11 9 10 1 5 - 12 0 0
0 8 7 4 5 3 9 11 2 1 6 10 - 12 0 0
0 8 7 4 5 3 9 11 6 1 10 2 - 12 0 0
0 8 7 4 5 3 9 11 10 1 2 6 - 12 0 0
0 8 7 4 6 3 10 11 1 2 5 9 - 12 0 0
0 8 7 4 6 3 10 11 5 2 9 1 - 12 0 0
0 8 7 4 6 3 10 11 9 2 1 5 - 12 0 0
0 8 7 4 9 3 1 11 2 5 6 10 - 12 0 0
0 8 7 4 9 3 1 11 6 5 10 2 - 12 0 0
0 8 7 4 9 3 1 11 10 5 2 6 - 12 0 0
0 8 7 4 10 3 2 11 1 6 5 9 - 12 0 0
0 8 7 4 10 3 2 11 5 6 9 1 - 12 0 0
0 8 7 4 10 3 2 11 9 6 1 5 - 12 0 0
0 8 9 4 2 5 6 1 3 10 7 11 - 12 0 0
0 8 9 4 2 5 6 1 7 10 11 3 - 12 0 0
0 8 9 4 2 5 6 1 11 10 3 7 - 12 0 0
0 8 9 4 3 5 7 1 2 11 6 10 - 12 0 0
0 8 9 4 3 5 7 1 6 11 10 2 - 12 0 0
0 8 9 4 3 5 7 1 10 11 2 6 - 12 0 0
0 8 9 4 6 5 10 1 3 2 7 11 - 12 0 0
0 8 9 4 6 5 10 1 7 2 11 3 - 12 0 0
0 8 9 4 6 5 10 1 11 2 3 7 - 12 0 0
0 8 9 4 7 5 11 1 2 3 6 10 - 12 0 0
0 8 9 4 7 5 11 1 6 3 10 2 - 12 0 0
0 8 9 4 7 5 11 1 10 3 2 6 - 12 0 0
0 8 9 4 10 5 2 1 3 6 7 11 - 12 0 0
0 8 9 4 10 5 2 1 7 6 11 3 - 12 0 0
0 8 9 4 10 5 2 1 11 6 3 7 - 12 0 0
0 8 9 4 11 5 3 1 2 7 6 10 - 12 0 0
0 8 9 4 11 5 3 1 6 7 10 2 - 12 0 0
0 8 9 4 11 5 3 1 10 7 2 6 - 12 0 0
0 8 10 4 1 6 5 2 3 9 7 11 - 12 0 0
0 8 10 4 1 6 5 2 7 9 11 3 - 12 0 0
0 8 10 4 1 6 5 2 11 9 3 7 - 12 0 0
0 8 10 4 3 6 7 2 1 11 5 9 - 12 0 0
0 8 10 4 3 6 7 2 5 11 9 1 - 12 0 0
0 8 10 4 3 6 7 2 9 11 1 5 - 12 0 0
0 8 10 4 5 6 9 2 3 1 7 11 - 12 0 0
0 8 10 4 5 6 9 2 7 1 11 3 - 12 0 0
0 8 10 4 5 6 9 2 11 1 3 7 - 12 0 0
0 8 10 4 7 6 11 2 1 3 5 9 - 12 0 0
0 8 10 4 7 6 11 2 5 3 9 1 - 12 0 0
0 8 10 4 7 6 11 2 9 3 1 5 - 12 0 0
0 8 10 4 9 6 1 2 3 5 7 11 - 12 0 0
0 8 10 4 9 6 1 2 7 5 11 3 - 12 0 0
0 8 10 4 9 6 1 2 11 5 3 7 - 12 0 0
0 8 10 4 11 6 3 2 1 7 5 9 - 12 0 0
0 8 10 4 11 6 3 2 5 7 9 1 - 12 0 0
0 8 10 4 11 6 3 2 9 7 1 5 - 12 0 0
0 8 11 4 1 7 5 3 2 9 6 10 - 12 0 0
0 8 11 4 1 7 5 3 6 9 10 2 - 12 0 0
0 8 11 4 1 7 5 3 10 9 2 6 - 12 0 0
0 8 11 4 2 7 6 3 1 10 5 9 - 12 0 0
0 8 11 4 2 7 6 3 5 10 9 1 - 12 0 0
0 8 11 4 2 7 6 3 9 10 1 5 - 12 0 0
0 8 11 4 5 7 9 3 2 1 6 10 - 12 0 0
0 8 11 4 5 7 9 3 6 1 10 2 - 12 0 0
0 8 11 4 5 7 9 3 10 1 2 6 - 12 0 0
0 8 11 4 6 7 10 3 1 2 5 9 - 12 0 0
0 8 11 4 6 7 10 3 5 2 9 1 - 12 0 0
0 8 11 4 6 7 10 3 9 2 1 5 - 12 0 0
0 8 11 4 9 7 1 3 2 5 6 10 - 12 0 0
0 8 11 4 9 7 1 3 6 5 10 2 - 12 0 0
0 8 11 4 9 7 1 3 10 5 2 6 - 12 0 0
0 8 11 4 10 7 2 3 1 6 5 9 - 12 0 0
0 8 11 4 10 7 2 3 5 6 9 1 - 12 0 0
0 8 11 4 10 7 2 3 9 6 1 5 - 12 0 0
found 162 solutions.
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Old 16th February 2018, 01:14 PM   #152
calebprime
moleman
 
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Join Date: Jul 2006
Posts: 11,937
Happy that this sort of generate-and-test works.

That is, I ran the power-residue series generator, and built up a big file of undifferentiated power-residue series.

Then I ran Microtonal Scales on it to find the complete orbits. There are many series to choose from, so I kept raising the bar until only 17 new series are left.

I love it when there's a complete line from idea to execution, with a nice little handful of series at the end of the effort. Sweet.

huge file of raw series:

(11 9 0 7 3 10 6 5 1 2 4 8 )
(11 7 0 3 6 8 5 9 1 10 2 4 )
(11 6 0 3 5 7 9 10 1 2 8 4 )
(11 3 0 5 10 4 7 9 1 2 8 6 )
(11 3 0 5 9 4 2 7 1 10 8 6 )
(11 8 0 3 10 9 5 2 1 7 6 4 )
(11 8 0 6 2 9 5 4 1 10 3 7 )
(11 8 0 6 3 9 10 4 1 2 5 7 )
(11 3 0 5 7 4 10 9 1 2 8 6 )
(11 7 0 5 2 8 9 3 1 10 4 6 )
(11 3 0 7 2 4 9 10 1 5 6 8 )
(11 8 0 5 10 9 3 4 1 7 2 6 )
(11 5 0 2 9 6 7 10 1 4 8 3 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 8 0 5 10 9 2 4 1 7 3 6 )
(11 3 0 5 10 4 7 8 1 2 9 6 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 6 0 3 10 7 8 2 1 5 9 4 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 7 0 3 9 8 6 2 1 5 10 4 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 8 0 5 10 9 3 4 1 7 2 6 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 7 0 3 2 8 5 10 1 9 6 4 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 7 0 3 10 8 5 2 1 6 9 4 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 7 0 4 3 8 6 10 1 9 2 5 )
(11 3 0 5 9 4 2 7 1 10 8 6 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 2 0 5 8 3 10 7 1 9 4 6 )
(11 2 0 4 8 3 10 7 1 9 6 5 )
(11 7 0 5 3 8 10 2 1 9 4 6 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 4 0 7 3 5 10 2 1 6 9 8 )
(11 2 0 4 7 3 10 6 1 9 8 5 )
(11 3 0 7 2 4 9 10 1 5 6 8 )
(11 3 0 7 10 4 6 9 1 2 5 8 )
(11 8 0 3 7 9 6 10 1 2 5 4 )
(11 8 0 6 3 9 2 5 1 10 4 7 )
(11 3 0 7 2 4 5 10 1 6 9 8 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 2 0 4 7 3 10 6 1 9 8 5 )
(11 2 0 4 7 3 10 6 1 9 8 5 )
(11 5 0 8 2 6 3 10 1 7 4 9 )
(11 6 0 2 10 7 4 9 1 5 8 3 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 8 0 6 3 9 10 5 1 2 4 7 )
(11 5 0 8 4 6 2 10 1 7 3 9 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 3 0 5 10 4 9 7 1 2 8 6 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 2 0 4 7 3 10 6 1 9 8 5 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 3 0 7 2 4 9 10 1 5 6 8 )
(11 3 0 7 5 4 2 10 1 9 6 8 )
(11 4 0 7 3 5 2 9 1 6 10 8 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 4 0 6 9 5 2 8 1 10 3 7 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 3 0 5 10 4 7 9 1 2 8 6 )
(11 7 0 5 2 8 9 4 1 10 3 6 )
(11 3 0 5 9 4 10 7 1 2 8 6 )
(11 2 0 4 7 3 10 6 1 9 8 5 )
(11 3 0 7 5 4 10 2 1 9 6 8 )
(11 7 0 3 2 8 5 10 1 9 6 4 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 2 0 7 6 3 4 10 1 9 5 8 )
(11 8 0 5 10 9 2 4 1 7 3 6 )
(11 4 0 7 3 5 10 9 1 6 2 8 )
(11 3 0 5 9 4 2 7 1 10 8 6 )
(11 3 0 7 2 4 9 10 1 6 5 8 )
(11 4 0 8 2 5 3 10 1 6 7 9 )
(11 9 0 7 3 10 6 5 1 2 4 8 )
(11 4 0 7 3 5 2 9 1 6 10 8 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 7 0 2 5 8 4 9 1 10 6 3 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 6 0 3 8 7 2 10 1 5 9 4 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 7 0 3 9 8 6 2 1 5 10 4 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 4 0 8 2 5 7 10 1 6 3 9 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 8 0 3 6 9 5 10 1 2 7 4 )
(11 3 0 5 10 4 8 7 1 2 9 6 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 7 0 3 2 8 6 10 1 9 5 4 )
(11 7 0 3 2 8 5 10 1 9 6 4 )
(11 8 0 6 2 9 5 3 1 10 4 7 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 3 0 6 9 4 2 8 1 10 5 7 )
(11 2 0 4 8 3 10 7 1 9 6 5 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 7 0 3 10 8 5 2 1 6 9 4 )
(11 3 0 5 10 4 9 7 1 2 8 6 )
(11 5 0 3 2 6 8 10 1 7 9 4 )
(11 4 0 8 3 5 6 10 1 7 2 9 )
(11 2 0 4 8 3 10 7 1 9 6 5 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 5 0 3 2 6 9 10 1 7 8 4 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 8 0 6 3 9 10 5 1 2 4 7 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 3 0 6 9 4 2 8 1 10 5 7 )
(11 6 0 3 9 7 10 2 1 5 8 4 )
(11 7 0 3 6 8 2 9 1 10 5 4 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 5 0 8 3 6 10 2 1 7 4 9 )
(11 7 0 3 2 8 5 10 1 9 6 4 )
(11 8 0 5 10 9 2 4 1 7 3 6 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 3 0 8 2 4 6 10 1 5 7 9 )
(11 7 0 5 3 8 10 4 1 2 9 6 )
(11 7 0 3 2 8 6 10 1 9 5 4 )
(11 8 0 5 10 9 3 4 1 7 2 6 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 4 0 7 3 5 10 9 1 6 2 8 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 8 0 5 3 9 7 4 1 10 2 6 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 7 0 3 6 8 5 10 1 2 9 4 )
(11 3 0 7 2 4 10 9 1 6 5 8 )
(11 3 0 5 10 4 7 8 1 2 9 6 )
(11 8 0 4 2 9 7 3 1 10 6 5 )
(11 3 0 5 8 4 10 7 1 9 2 6 )
(11 5 0 2 9 6 10 7 1 4 8 3 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 2 0 4 8 3 9 6 1 10 7 5 )
(11 8 0 5 10 9 2 4 1 7 3 6 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 4 0 7 2 5 9 3 1 6 10 8 )
(11 4 0 7 2 5 9 10 1 6 3 8 )
(11 8 0 5 10 9 3 4 1 7 2 6 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 3 0 7 2 4 5 10 1 6 9 8 )
(11 4 0 8 3 5 2 10 1 7 6 9 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 3 0 6 2 4 10 8 1 5 9 7 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 8 0 5 10 9 3 4 1 7 2 6 )
(11 7 0 2 5 8 4 9 1 10 6 3 )
(11 8 0 6 2 9 4 5 1 10 3 7 )
(11 7 0 3 5 8 6 9 1 10 2 4 )
(11 6 0 3 5 7 10 8 1 2 9 4 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 3 0 5 10 4 7 9 1 2 8 6 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 2 0 4 9 3 6 7 1 10 8 5 )
(11 3 0 7 2 4 9 10 1 5 6 8 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 8 0 5 10 9 3 4 1 7 2 6 )
(11 7 0 3 5 8 6 9 1 2 10 4 )
(11 3 0 6 2 4 9 10 1 5 8 7 )
(11 7 0 2 4 8 6 9 1 10 5 3 )
(11 9 0 6 3 10 8 5 1 2 4 7 )
(11 8 0 6 2 9 5 4 1 10 3 7 )
(11 8 0 3 7 9 6 10 1 2 5 4 )
(11 8 0 5 2 9 7 3 1 10 4 6 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 3 0 6 8 4 2 9 1 10 5 7 )
(11 4 0 6 9 5 2 8 1 10 3 7 )
(11 8 0 5 3 9 7 2 1 10 4 6 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 8 0 5 10 9 2 4 1 7 3 6 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 4 0 7 3 5 2 10 1 6 9 8 )
(11 3 0 7 2 4 10 9 1 6 5 8 )
(11 9 0 7 3 10 6 5 1 2 4 8 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 6 0 3 5 7 9 10 1 2 8 4 )
(11 8 0 6 2 9 4 5 1 10 3 7 )
(11 4 0 8 2 5 7 10 1 6 3 9 )
(11 2 0 5 8 3 10 7 1 9 4 6 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 4 0 7 2 5 10 3 1 6 9 8 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 7 0 5 3 8 9 4 1 2 10 6 )
(11 5 0 8 3 6 10 2 1 7 4 9 )
(11 6 0 3 5 7 10 9 1 2 8 4 )
(11 8 0 6 2 9 5 4 1 10 3 7 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 6 0 2 10 7 5 8 1 4 9 3 )
(11 2 0 4 8 3 9 6 1 10 7 5 )
(11 4 0 7 2 5 9 3 1 6 10 8 )
(11 4 0 7 2 5 3 9 1 6 10 8 )
(11 3 0 7 2 4 9 10 1 5 6 8 )
(11 7 0 2 5 8 4 9 1 10 6 3 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 4 0 8 3 5 6 10 1 7 2 9 )
(11 8 0 6 2 9 5 4 1 10 3 7 )
(11 4 0 7 2 5 3 10 1 6 9 8 )
(11 3 0 6 2 4 8 10 1 5 9 7 )
(11 3 0 7 6 4 9 2 1 10 5 8 )
(11 3 0 7 2 4 5 10 1 6 9 8 )
(11 8 0 5 10 9 2 4 1 7 3 6 )
(11 8 0 4 3 9 6 2 1 10 7 5 )
(11 7 0 2 4 8 6 9 1 10 5 3 )
(11 7 0 5 2 8 10 3 1 9 4 6 )
(11 5 0 8 4 6 3 10 1 7 2 9 )
(11 3 0 5 9 4 10 7 1 2 8 6 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 3 0 5 10 4 8 7 1 2 9 6 )
(11 7 0 5 2 8 9 3 1 10 4 6 )
(11 9 0 6 3 10 8 5 1 2 4 7 )
(11 7 0 3 9 8 6 2 1 5 10 4 )
(11 3 0 6 2 4 10 9 1 5 8 7 )
(11 7 0 3 6 8 5 10 1 2 9 4 )
(11 2 0 4 9 3 6 7 1 10 8 5 )
(11 3 0 6 2 4 9 8 1 5 10 7 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 8 0 6 2 9 5 4 1 10 3 7 )
(11 2 0 4 8 3 10 7 1 9 6 5 )
(11 3 0 5 10 4 8 7 1 2 9 6 )
(11 4 0 8 2 5 10 3 1 6 7 9 )
(11 5 0 8 3 6 2 10 1 7 4 9 )
(11 5 0 8 4 6 2 10 1 7 3 9 )
(11 2 0 7 4 3 6 10 1 9 5 8 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 7 0 5 2 8 10 4 1 9 3 6 )
(11 3 0 5 10 4 9 7 1 2 8 6 )
(11 6 0 2 8 7 4 10 1 5 9 3 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 4 0 7 3 5 2 10 1 6 9 8 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 2 0 6 9 3 5 8 1 10 4 7 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 8 0 6 2 9 3 5 1 10 4 7 )
(11 4 0 8 3 5 10 2 1 7 6 9 )
(11 4 0 7 2 5 9 3 1 6 10 8 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 5 0 8 4 6 2 10 1 7 3 9 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 5 0 2 7 6 10 9 1 4 8 3 )
(11 2 0 6 9 3 4 8 1 10 5 7 )
(11 6 0 3 5 7 10 8 1 2 9 4 )
(11 6 0 3 10 7 2 9 1 5 8 4 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 5 0 8 2 6 4 10 1 7 3 9 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 5 0 8 3 6 4 10 1 7 2 9 )
(11 8 0 3 7 9 6 10 1 2 5 4 )
(11 2 0 4 9 3 6 7 1 10 8 5 )
(11 2 0 5 8 3 10 7 1 9 4 6 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 7 0 3 10 8 5 2 1 6 9 4 )
(11 6 0 2 10 7 4 9 1 5 8 3 )
(11 8 0 3 10 9 5 2 1 6 7 4 )
(11 5 0 8 3 6 4 10 1 7 2 9 )
(11 8 0 6 3 9 10 4 1 2 5 7 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 9 0 7 3 10 4 6 1 2 5 8 )
(11 7 0 4 3 8 6 10 1 9 2 5 )
(11 3 0 5 9 4 2 7 1 10 8 6 )
(11 3 0 5 10 4 7 9 1 2 8 6 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 9 0 7 3 10 6 5 1 2 4 8 )
(11 2 0 5 8 3 10 7 1 9 4 6 )
(11 2 0 4 9 3 7 6 1 10 8 5 )
(11 8 0 6 3 9 10 5 1 2 4 7 )
(11 3 0 7 5 4 2 10 1 9 6 8 )
(11 8 0 4 3 9 6 2 1 10 7 5 )
(11 8 0 3 10 9 6 2 1 7 5 4 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 6 0 3 5 7 10 9 1 2 8 4 )
(11 4 0 8 3 5 10 2 1 6 7 9 )
(11 7 0 2 5 8 4 9 1 10 6 3 )
(11 3 0 5 8 4 10 7 1 9 2 6 )
(11 7 0 3 2 8 6 10 1 9 5 4 )
(11 2 0 5 8 3 10 7 1 9 4 6 )
(11 3 0 5 10 4 9 7 1 2 8 6 )
(11 3 0 5 10 4 8 7 1 2 9 6 )
(11 2 0 4 8 3 10 7 1 9 6 5 )
(11 2 0 4 8 3 10 7 1 9 6 5 )
(11 7 0 3 2 8 6 10 1 9 5 4 )
(11 2 0 4 7 3 10 6 1 8 9 5 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 9 0 7 3 10 5 6 1 2 4 8 )
(11 2 0 4 7 3 9 6 1 8 10 5 )
(11 6 0 2 10 7 4 8 1 5 9 3 )
(11 4 0 8 2 5 3 10 1 6 7 9 )
(11 7 0 2 4 8 6 9 1 10 5 3 )
(11 4 0 8 2 5 3 10 1 6 7 9 )
(11 4 0 7 2 5 3 10 1 6 9 8 )
(11 8 0 6 3 9 10 5 1 2 4 7 )
(11 2 0 4 9 3 8 6 1 10 7 5 )
(11 9 0 7 5 10 2 6 1 4 3 8 )
(11 9 0 7 5 10 3 6 1 4 2 8 )
(11 6 0 2 10 7 4 8 1 5 9 3 )
(11 4 0 7 2 5 3 10 1 6 9 8 )
(11 7 0 2 4 8 6 9 1 10 5 3 )
(11 7 0 3 10 8 6 2 1 5 9 4 )
(11 2 0 4 8 3 10 6 1 9 7 5 )
(11 8 0 6 2 9 3 5 1 10 4 7 )
(11 8 0 6 2 9 5 4 1 10 3 7 )
(11 2 0 4 7 3 9 6 1 10 8 5 )
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