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Tags music theory

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Old 10th January 2018, 09:23 AM   #41
Cheetah
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Originally Posted by calebprime View Post
Listen, I'm not oblivious and I'm aware that this thread is not of interest.
How do you know?

I like it.



Please carry on.
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Old 10th January 2018, 10:45 AM   #42
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This is my last comment for the while about the thread and how to conduct it.

I'll continue to post an interesting self-similar row a day, unless the mods see fit to stop me.

Now, 4 or 5 different posters responding, a range from "don't understand" to "take a break."

But you've got known funny man Shemp responding to the note of clammy desperation.

You've got Sir Drinks resenting my pointless reference to the faith of Aimee Mann, but no doubt showing only reasonable concern for a fellow music lover.

My fellow musician mr. pi is really quite happy not learning about tone rows, but here are some of the skills --

--converting numbers to pitches and back and hearing it in your head

--knowing the harmonic meaning and names of pitch combinations and ditto, hearing them

--having some prior experience making music out of motifs, then more abstractly, out of pitch-classes, or even more abstractly, making something out of some set of rules (too abstract!)

--from hearing some of my previous pieces and knowing of my pro experiences and publication (not plural, sadly), that I'd have some basic respect for competence -- heck, I've been banging on about variations of this kind of thing since I got here.

--one result of yapping about stuff here was my connection with 69dodge, who eventually became somone I hired for difficult stuff, after early freebies. So I've been as serious about these ideas as you can be, and happily so.


So, again, I just intend to post the serious row stuff from now on, with some little theory nugget tangents.

Last edited by calebprime; 10th January 2018 at 10:48 AM.
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Old 10th January 2018, 10:54 AM   #43
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Originally Posted by calebprime View Post
My fellow musician mr. pi
Possibly the most flattering thing anyone has ever said about me. I aspire to be a musician.

Thank you.
(I shall start again at post one and try to educate myself a little more)
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Old 10th January 2018, 02:10 PM   #44
sir drinks-a-lot
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Originally Posted by 3point14 View Post
It's definitely music.
That's debatable, but I'll leave it for another thread. Besides calebprime said this is not a debate thread.

I say let him have his thread! It's better than a good portion of threads I've seen passing through lately.
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Old 10th January 2018, 02:41 PM   #45
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Oh please don't let me be one to put a stop to things.
I recognize that something serious is going on and please let it continue.

I just don't have a single clue what it all means.
I understood Caleb Primes second paragraph he made in answer to me. The first and third paragraphs? No idea.

I just wasn't certain what his intention was. Was it something for people who already knew a lot of this stuff? It looks like it.
Because if the intention was to teach noobs, then the lessons have to be dumbed down a lot. And I mean a lot.
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Old 11th January 2018, 03:39 AM   #46
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row of the day: Big Cad

Code:

BIG CAD


every-other square

C,  A,  D,  F#, C#, B,  G,  D#, E,  A#, F,  G# intervals: 9,5,4,7,10,8,8,1,6,7,3,4
A,  F#, B,  D#, A#, G#, C,  D,  C#, G,  E,  F
F#, D#, G#, D,  G,  F,  A,  B,  A#, C,  C#, E
D#, D,  F,  B,  C,  E,  F#, G#, G,  A,  A#, C#
D,  B,  E,  G#, A,  C#, D#, F,  C,  F#, G,  A#
B,  G#, C#, F,  F#, A#, D,  E,  A,  D#, C,  G
G#, F,  A#, E,  D#, G,  B,  C#, F#, D,  A,  C
F,  E,  G,  C#, D,  C,  G#, A#, D#, B,  F#, A
E,  C#, C,  A#, B,  A,  F,  G,  D,  G#, D#, F#
C#, A#, A,  G,  G#, F#, E,  C,  B,  F,  D,  D#
A#, G,  F#, C,  F,  D#, C#, A,  G#, E,  B,  D
G,  C,  D#, A,  E,  D,  A#, F#, F,  C#, G#, B

intervals of columns: 9,9,9,11,9,9,9,11,9,9,9,5


standard inversion square

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

I've already wandered a little, because while these series are good, they haven't all been strictly dual-property like the thread title. This is because there are a bunch of related techniques for generating the series. Some different projects occur to me as I go.

current plan:

1) MOF of the day with squares and whatever else; check for distinctness

2) original project of finding and analyzing dual-property series

3) find permutation patterns that work for 2, 3, and 4-interval of self-sim. (This is a huge, slow trial-and-error project, as I understand it.)

4) answer any clear-enough questions/consider basic primer. Problem is -- unless you have a passion or a purpose, this stuff is both boring and not very hard once you get past the translation or get the idea!


Big Cad is distinct from the other 10 series found so far including mallalieu to 4 places.
(0 2 3 9 10 6 7 1 5 8 4 11)
(0 10 2 3 6 7 4 1 9 11 5 8)
(0 4 7 8 1 11 9 3 10 5 6 2)
(0 4 6 10 7 3 11 1 8 2 5 9)
(0 5 4 10 1 9 7 3 8 6 11 2)
(0 9 1 6 11 10 5 3 2 8 4 7)
(0 9 4 3 6 11 10 8 2 7 1 5)
(0 2 8 4 5 10 1 6 3 7 9 11)
(0 1 4 2 9 5 11 3 8 10 7 6)
(0 3 7 6 4 10 8 9 2 11 5 1)
(0 9 2 6 1 11 7 3 4 10 5 8)

Last edited by calebprime; 11th January 2018 at 03:51 AM.
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Old 11th January 2018, 07:08 AM   #47
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trial and error is working!

I've found a complete-12 self-similar pattern at interval 4 (major third) with a tight pattern consisting of all 2,3, and 4.

It yields a list of 162 others that are the same pattern, different intervals.

Is this the same as the previous list in disguise?

In any case, this is a very good sign, as I now have a list of series likely to yield good results like this. So trial-and-error just became humanly possible.


M) modulus: 12
P) permutation: 8,11,4,7,10,1,3,6,9,0,2,5
C) center interval of self-similarity: 4
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
W) wrap: on

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

enter choice: 1
working...
0 1 2 3 6 9 11 7 4 8 10 5 - 12 0 0
0 1 2 7 6 9 3 11 4 8 10 5 - 12 0 0
0 1 2 11 6 9 7 3 4 8 10 5 - 12 0 0
0 1 3 2 7 9 10 6 4 8 11 5 - 12 0 0
0 1 3 6 7 9 2 10 4 8 11 5 - 12 0 0
0 1 3 10 7 9 6 2 4 8 11 5 - 12 0 0
0 1 6 3 10 9 11 7 4 8 2 5 - 12 0 0
0 1 6 7 10 9 3 11 4 8 2 5 - 12 0 0
0 1 6 11 10 9 7 3 4 8 2 5 - 12 0 0
0 1 7 2 11 9 10 6 4 8 3 5 - 12 0 0
0 1 7 6 11 9 2 10 4 8 3 5 - 12 0 0
0 1 7 10 11 9 6 2 4 8 3 5 - 12 0 0
0 1 10 3 2 9 11 7 4 8 6 5 - 12 0 0
0 1 10 7 2 9 3 11 4 8 6 5 - 12 0 0
0 1 10 11 2 9 7 3 4 8 6 5 - 12 0 0
0 1 11 2 3 9 10 6 4 8 7 5 - 12 0 0
0 1 11 6 3 9 2 10 4 8 7 5 - 12 0 0
0 1 11 10 3 9 6 2 4 8 7 5 - 12 0 0
0 2 1 3 5 10 11 7 4 8 9 6 - 12 0 0
0 2 1 7 5 10 3 11 4 8 9 6 - 12 0 0
0 2 1 11 5 10 7 3 4 8 9 6 - 12 0 0
0 2 3 1 7 10 9 5 4 8 11 6 - 12 0 0
0 2 3 5 7 10 1 9 4 8 11 6 - 12 0 0
0 2 3 9 7 10 5 1 4 8 11 6 - 12 0 0
0 2 5 3 9 10 11 7 4 8 1 6 - 12 0 0
0 2 5 7 9 10 3 11 4 8 1 6 - 12 0 0
0 2 5 11 9 10 7 3 4 8 1 6 - 12 0 0
0 2 7 1 11 10 9 5 4 8 3 6 - 12 0 0
0 2 7 5 11 10 1 9 4 8 3 6 - 12 0 0
0 2 7 9 11 10 5 1 4 8 3 6 - 12 0 0
0 2 9 3 1 10 11 7 4 8 5 6 - 12 0 0
0 2 9 7 1 10 3 11 4 8 5 6 - 12 0 0
0 2 9 11 1 10 7 3 4 8 5 6 - 12 0 0
0 2 11 1 3 10 9 5 4 8 7 6 - 12 0 0
0 2 11 5 3 10 1 9 4 8 7 6 - 12 0 0
0 2 11 9 3 10 5 1 4 8 7 6 - 12 0 0
0 3 1 2 5 11 10 6 4 8 9 7 - 12 0 0
0 3 1 6 5 11 2 10 4 8 9 7 - 12 0 0
0 3 1 10 5 11 6 2 4 8 9 7 - 12 0 0
0 3 2 1 6 11 9 5 4 8 10 7 - 12 0 0
0 3 2 5 6 11 1 9 4 8 10 7 - 12 0 0
0 3 2 9 6 11 5 1 4 8 10 7 - 12 0 0
0 3 5 2 9 11 10 6 4 8 1 7 - 12 0 0
0 3 5 6 9 11 2 10 4 8 1 7 - 12 0 0
0 3 5 10 9 11 6 2 4 8 1 7 - 12 0 0
0 3 6 1 10 11 9 5 4 8 2 7 - 12 0 0
0 3 6 5 10 11 1 9 4 8 2 7 - 12 0 0
0 3 6 9 10 11 5 1 4 8 2 7 - 12 0 0
0 3 9 2 1 11 10 6 4 8 5 7 - 12 0 0
0 3 9 6 1 11 2 10 4 8 5 7 - 12 0 0
0 3 9 10 1 11 6 2 4 8 5 7 - 12 0 0
0 3 10 1 2 11 9 5 4 8 6 7 - 12 0 0
0 3 10 5 2 11 1 9 4 8 6 7 - 12 0 0
0 3 10 9 2 11 5 1 4 8 6 7 - 12 0 0
0 5 2 3 6 1 11 7 4 8 10 9 - 12 0 0
0 5 2 7 6 1 3 11 4 8 10 9 - 12 0 0
0 5 2 11 6 1 7 3 4 8 10 9 - 12 0 0
0 5 3 2 7 1 10 6 4 8 11 9 - 12 0 0
0 5 3 6 7 1 2 10 4 8 11 9 - 12 0 0
0 5 3 10 7 1 6 2 4 8 11 9 - 12 0 0
0 5 6 3 10 1 11 7 4 8 2 9 - 12 0 0
0 5 6 7 10 1 3 11 4 8 2 9 - 12 0 0
0 5 6 11 10 1 7 3 4 8 2 9 - 12 0 0
0 5 7 2 11 1 10 6 4 8 3 9 - 12 0 0
0 5 7 6 11 1 2 10 4 8 3 9 - 12 0 0
0 5 7 10 11 1 6 2 4 8 3 9 - 12 0 0
0 5 10 3 2 1 11 7 4 8 6 9 - 12 0 0
0 5 10 7 2 1 3 11 4 8 6 9 - 12 0 0
0 5 10 11 2 1 7 3 4 8 6 9 - 12 0 0
0 5 11 2 3 1 10 6 4 8 7 9 - 12 0 0
0 5 11 6 3 1 2 10 4 8 7 9 - 12 0 0
0 5 11 10 3 1 6 2 4 8 7 9 - 12 0 0
0 6 1 3 5 2 11 7 4 8 9 10 - 12 0 0
0 6 1 7 5 2 3 11 4 8 9 10 - 12 0 0
0 6 1 11 5 2 7 3 4 8 9 10 - 12 0 0
0 6 3 1 7 2 9 5 4 8 11 10 - 12 0 0
0 6 3 5 7 2 1 9 4 8 11 10 - 12 0 0
0 6 3 9 7 2 5 1 4 8 11 10 - 12 0 0
0 6 5 3 9 2 11 7 4 8 1 10 - 12 0 0
0 6 5 7 9 2 3 11 4 8 1 10 - 12 0 0
0 6 5 11 9 2 7 3 4 8 1 10 - 12 0 0
0 6 7 1 11 2 9 5 4 8 3 10 - 12 0 0
0 6 7 5 11 2 1 9 4 8 3 10 - 12 0 0
0 6 7 9 11 2 5 1 4 8 3 10 - 12 0 0
0 6 9 3 1 2 11 7 4 8 5 10 - 12 0 0
0 6 9 7 1 2 3 11 4 8 5 10 - 12 0 0
0 6 9 11 1 2 7 3 4 8 5 10 - 12 0 0
0 6 11 1 3 2 9 5 4 8 7 10 - 12 0 0
0 6 11 5 3 2 1 9 4 8 7 10 - 12 0 0
0 6 11 9 3 2 5 1 4 8 7 10 - 12 0 0
0 7 1 2 5 3 10 6 4 8 9 11 - 12 0 0
0 7 1 6 5 3 2 10 4 8 9 11 - 12 0 0
0 7 1 10 5 3 6 2 4 8 9 11 - 12 0 0
0 7 2 1 6 3 9 5 4 8 10 11 - 12 0 0
0 7 2 5 6 3 1 9 4 8 10 11 - 12 0 0
0 7 2 9 6 3 5 1 4 8 10 11 - 12 0 0
0 7 5 2 9 3 10 6 4 8 1 11 - 12 0 0
0 7 5 6 9 3 2 10 4 8 1 11 - 12 0 0
0 7 5 10 9 3 6 2 4 8 1 11 - 12 0 0
0 7 6 1 10 3 9 5 4 8 2 11 - 12 0 0
0 7 6 5 10 3 1 9 4 8 2 11 - 12 0 0
0 7 6 9 10 3 5 1 4 8 2 11 - 12 0 0
0 7 9 2 1 3 10 6 4 8 5 11 - 12 0 0
0 7 9 6 1 3 2 10 4 8 5 11 - 12 0 0
0 7 9 10 1 3 6 2 4 8 5 11 - 12 0 0
0 7 10 1 2 3 9 5 4 8 6 11 - 12 0 0
0 7 10 5 2 3 1 9 4 8 6 11 - 12 0 0
0 7 10 9 2 3 5 1 4 8 6 11 - 12 0 0
0 9 2 3 6 5 11 7 4 8 10 1 - 12 0 0
0 9 2 7 6 5 3 11 4 8 10 1 - 12 0 0
0 9 2 11 6 5 7 3 4 8 10 1 - 12 0 0
0 9 3 2 7 5 10 6 4 8 11 1 - 12 0 0
0 9 3 6 7 5 2 10 4 8 11 1 - 12 0 0
0 9 3 10 7 5 6 2 4 8 11 1 - 12 0 0
0 9 6 3 10 5 11 7 4 8 2 1 - 12 0 0
0 9 6 7 10 5 3 11 4 8 2 1 - 12 0 0
0 9 6 11 10 5 7 3 4 8 2 1 - 12 0 0
0 9 7 2 11 5 10 6 4 8 3 1 - 12 0 0
0 9 7 6 11 5 2 10 4 8 3 1 - 12 0 0
0 9 7 10 11 5 6 2 4 8 3 1 - 12 0 0
0 9 10 3 2 5 11 7 4 8 6 1 - 12 0 0
0 9 10 7 2 5 3 11 4 8 6 1 - 12 0 0
0 9 10 11 2 5 7 3 4 8 6 1 - 12 0 0
0 9 11 2 3 5 10 6 4 8 7 1 - 12 0 0
0 9 11 6 3 5 2 10 4 8 7 1 - 12 0 0
0 9 11 10 3 5 6 2 4 8 7 1 - 12 0 0
0 10 1 3 5 6 11 7 4 8 9 2 - 12 0 0
0 10 1 7 5 6 3 11 4 8 9 2 - 12 0 0
0 10 1 11 5 6 7 3 4 8 9 2 - 12 0 0
0 10 3 1 7 6 9 5 4 8 11 2 - 12 0 0
0 10 3 5 7 6 1 9 4 8 11 2 - 12 0 0
0 10 3 9 7 6 5 1 4 8 11 2 - 12 0 0
0 10 5 3 9 6 11 7 4 8 1 2 - 12 0 0
0 10 5 7 9 6 3 11 4 8 1 2 - 12 0 0
0 10 5 11 9 6 7 3 4 8 1 2 - 12 0 0
0 10 7 1 11 6 9 5 4 8 3 2 - 12 0 0
0 10 7 5 11 6 1 9 4 8 3 2 - 12 0 0
0 10 7 9 11 6 5 1 4 8 3 2 - 12 0 0
0 10 9 3 1 6 11 7 4 8 5 2 - 12 0 0
0 10 9 7 1 6 3 11 4 8 5 2 - 12 0 0
0 10 9 11 1 6 7 3 4 8 5 2 - 12 0 0
0 10 11 1 3 6 9 5 4 8 7 2 - 12 0 0
0 10 11 5 3 6 1 9 4 8 7 2 - 12 0 0
0 10 11 9 3 6 5 1 4 8 7 2 - 12 0 0
0 11 1 2 5 7 10 6 4 8 9 3 - 12 0 0
0 11 1 6 5 7 2 10 4 8 9 3 - 12 0 0
0 11 1 10 5 7 6 2 4 8 9 3 - 12 0 0
0 11 2 1 6 7 9 5 4 8 10 3 - 12 0 0
0 11 2 5 6 7 1 9 4 8 10 3 - 12 0 0
0 11 2 9 6 7 5 1 4 8 10 3 - 12 0 0
0 11 5 2 9 7 10 6 4 8 1 3 - 12 0 0
0 11 5 6 9 7 2 10 4 8 1 3 - 12 0 0
0 11 5 10 9 7 6 2 4 8 1 3 - 12 0 0
0 11 6 1 10 7 9 5 4 8 2 3 - 12 0 0
0 11 6 5 10 7 1 9 4 8 2 3 - 12 0 0
0 11 6 9 10 7 5 1 4 8 2 3 - 12 0 0
0 11 9 2 1 7 10 6 4 8 5 3 - 12 0 0
0 11 9 6 1 7 2 10 4 8 5 3 - 12 0 0
0 11 9 10 1 7 6 2 4 8 5 3 - 12 0 0
0 11 10 1 2 7 9 5 4 8 6 3 - 12 0 0
0 11 10 5 2 7 1 9 4 8 6 3 - 12 0 0
0 11 10 9 2 7 5 1 4 8 6 3 - 12 0 0
found 162 solutions.
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Old 11th January 2018, 07:20 AM   #48
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It's definitely the previous list in disguise, as it all boils down to only 78 distinct series:


Code:
number of rows remaining: 78

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

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

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

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

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

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

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

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

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

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

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

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

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

(0 4 5 11 8 7 9 2 1 3 10 6)  mof4A                        (0 4 3 10 8 6 7 1 11 2 9 5)  
                             (0 4 7 2 8 10 11 5 3 6 1 9)                               

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

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

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

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

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

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

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

(0 4 3 5 8 1 7 6 11 9 2 10)  mof5                         (0 4 9 3 8 11 1 6 5 7 2 10)  
                             (0 4 7 5 8 1 11 6 3 9 2 10)                               

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

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

(0 4 2 5 8 1 6 11 10 9 7 3)  (0 4 2 11 8 7 6 5 10 3 1 9)  mof2B                        
                                                          (0 4 1 10 8 6 5 3 9 2 11 7)  

mof2A                        (0 4 1 11 8 7 5 2 9 3 10 6)  (0 4 2 11 8 7 6 1 10 3 9 5)  
(0 4 1 10 8 6 5 11 9 2 7 3)
Code:


Last edited by calebprime; 11th January 2018 at 07:22 AM.
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Old 11th January 2018, 07:44 AM   #49
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woo hoo!

I just found a set for complete self-sim at interval 3 by this process.

Progress has been made.

) modulus: 12
P) permutation: 5,9,0,4,8,10,1,3,7,11,2,6
C) center interval of self-similarity: 3
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
W) wrap: on

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

enter choice: 1
working...
0 1 9 2 5 3 10 11 8 4 6 7 - 12 0 0 (this scoring 12, 0, 0, means it's perfect)
0 1 9 5 8 3 10 2 11 4 6 7 - 12 0 0
0 1 9 8 11 3 10 5 2 4 6 7 - 12 0 0
0 1 9 11 2 3 10 8 5 4 6 7 - 12 0 0
0 2 9 1 4 3 11 10 7 5 6 8 - 12 0 0
0 2 9 4 7 3 11 1 10 5 6 8 - 12 0 0
0 2 9 7 10 3 11 4 1 5 6 8 - 12 0 0
0 2 9 10 1 3 11 7 4 5 6 8 - 12 0 0
0 4 9 2 5 3 1 11 8 7 6 10 - 12 0 0
0 4 9 5 8 3 1 2 11 7 6 10 - 12 0 0
0 4 9 8 11 3 1 5 2 7 6 10 - 12 0 0
0 4 9 11 2 3 1 8 5 7 6 10 - 12 0 0
0 5 9 1 4 3 2 10 7 8 6 11 - 12 0 0
0 5 9 4 7 3 2 1 10 8 6 11 - 12 0 0
0 5 9 7 10 3 2 4 1 8 6 11 - 12 0 0
0 5 9 10 1 3 2 7 4 8 6 11 - 12 0 0
0 7 9 2 5 3 4 11 8 10 6 1 - 12 0 0
0 7 9 5 8 3 4 2 11 10 6 1 - 12 0 0
0 7 9 8 11 3 4 5 2 10 6 1 - 12 0 0
0 7 9 11 2 3 4 8 5 10 6 1 - 12 0 0
0 8 9 1 4 3 5 10 7 11 6 2 - 12 0 0
0 8 9 4 7 3 5 1 10 11 6 2 - 12 0 0
0 8 9 7 10 3 5 4 1 11 6 2 - 12 0 0
0 8 9 10 1 3 5 7 4 11 6 2 - 12 0 0
0 10 9 2 5 3 7 11 8 1 6 4 - 12 0 0
0 10 9 5 8 3 7 2 11 1 6 4 - 12 0 0
0 10 9 8 11 3 7 5 2 1 6 4 - 12 0 0
0 10 9 11 2 3 7 8 5 1 6 4 - 12 0 0
0 11 9 1 4 3 8 10 7 2 6 5 - 12 0 0
0 11 9 4 7 3 8 1 10 2 6 5 - 12 0 0
0 11 9 7 10 3 8 4 1 2 6 5 - 12 0 0
0 11 9 10 1 3 8 7 4 2 6 5 - 12 0 0
found 32 solutions.
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Old 11th January 2018, 09:26 AM   #50
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Originally Posted by calebprime View Post
woo hoo!

I just found a set for complete self-sim at interval 3 by this process.

Progress has been made.

) modulus: 12
P) permutation: 5,9,0,4,8,10,1,3,7,11,2,6
C) center interval of self-similarity: 3
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
W) wrap: on

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

enter choice: 1
working...
0 1 9 2 5 3 10 11 8 4 6 7 - 12 0 0 (this scoring 12, 0, 0, means it's perfect)
0 1 9 5 8 3 10 2 11 4 6 7 - 12 0 0
0 1 9 8 11 3 10 5 2 4 6 7 - 12 0 0
0 1 9 11 2 3 10 8 5 4 6 7 - 12 0 0
0 2 9 1 4 3 11 10 7 5 6 8 - 12 0 0
0 2 9 4 7 3 11 1 10 5 6 8 - 12 0 0
0 2 9 7 10 3 11 4 1 5 6 8 - 12 0 0
0 2 9 10 1 3 11 7 4 5 6 8 - 12 0 0
0 4 9 2 5 3 1 11 8 7 6 10 - 12 0 0
0 4 9 5 8 3 1 2 11 7 6 10 - 12 0 0
0 4 9 8 11 3 1 5 2 7 6 10 - 12 0 0
0 4 9 11 2 3 1 8 5 7 6 10 - 12 0 0
0 5 9 1 4 3 2 10 7 8 6 11 - 12 0 0
0 5 9 4 7 3 2 1 10 8 6 11 - 12 0 0
0 5 9 7 10 3 2 4 1 8 6 11 - 12 0 0
0 5 9 10 1 3 2 7 4 8 6 11 - 12 0 0
0 7 9 2 5 3 4 11 8 10 6 1 - 12 0 0
0 7 9 5 8 3 4 2 11 10 6 1 - 12 0 0
0 7 9 8 11 3 4 5 2 10 6 1 - 12 0 0
0 7 9 11 2 3 4 8 5 10 6 1 - 12 0 0
0 8 9 1 4 3 5 10 7 11 6 2 - 12 0 0
0 8 9 4 7 3 5 1 10 11 6 2 - 12 0 0
0 8 9 7 10 3 5 4 1 11 6 2 - 12 0 0
0 8 9 10 1 3 5 7 4 11 6 2 - 12 0 0
0 10 9 2 5 3 7 11 8 1 6 4 - 12 0 0
0 10 9 5 8 3 7 2 11 1 6 4 - 12 0 0
0 10 9 8 11 3 7 5 2 1 6 4 - 12 0 0
0 10 9 11 2 3 7 8 5 1 6 4 - 12 0 0
0 11 9 1 4 3 8 10 7 2 6 5 - 12 0 0
0 11 9 4 7 3 8 1 10 2 6 5 - 12 0 0
0 11 9 7 10 3 8 4 1 2 6 5 - 12 0 0
0 11 9 10 1 3 8 7 4 2 6 5 - 12 0 0
found 32 solutions.


Picking one, and showing the self-sim pattern at 3, or a minor 3rd. It's not "every other", so I won't use that square.

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


0..8..9..4..7..3..5..1..10.11.6..2..
...................3..............11........
0.............7.............10......6.....
...8......4..............1..............2..
.......9..............5



Now I have ways to generate self-similar series at every interval.

Last edited by calebprime; 11th January 2018 at 09:29 AM.
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Old 12th January 2018, 02:53 AM   #51
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Self-Similar Row of the Day: E for Effort

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


Code:
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


E for Effort is distinct from the other series so far:

removing near-duplicates...done

number of rows remaining: 12

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

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

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

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

Last edited by calebprime; 12th January 2018 at 02:56 AM.
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Old 12th January 2018, 03:25 AM   #52
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I found an already-known series that is self-similar at 2, known as "row 1".

This should be checked to see if it's distinct from Mallalieu series.

However, it doesn't yield a big set of other related rows, just a few including Mallalieu.

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

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

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


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


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



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

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



M) modulus: 12
P) permutation: 3,7,11,2,6,10,1,5,9,0,4,8
C) center interval of self-similarity: 2
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
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 11 3 8 10 7 6 - 12 0 0
0 3 4 2 11 7 1 5 8 10 9 6 - 12 0 0
0 5 4 2 1 9 3 7 8 10 11 6 - 12 0 0
0 7 4 2 3 11 5 9 8 10 1 6 - 12 0 0
0 9 4 2 5 1 7 11 8 10 3 6 - 12 0 0
0 11 4 2 7 3 9 1 8 10 5 6 - 12 0 0
found 6 solutions.
(last part near bottom of code section): You can see that these groups of series have some positions fixed, others cycling at the interval of self-sim. If I were smarter or a mathematician, I'd divine the underlying principle. For my purposes, it's enough to have dependable ways to find all the series and to keep them straight.

Last edited by calebprime; 12th January 2018 at 04:13 AM.
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Old 13th January 2018, 04:14 AM   #53
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Before I go back to what seems to be a productive search for perm patterns that yield self-similarity at different intervals, I'm trying to go back to the dual-aspect series that the thread began with.

Here is the double row of the day, Cigar Bed. Cigar Bed is not completely successful, so I'm sure it's distinct, though the usual test will follow.


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


every-other

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



3,3,4,10,3,3,7,8,11,3,6,11


standard inversion square

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


rotated mof from starting point on c

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






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


Cigar Bed turns out to be self-equivalent at i/5/6 and also, more unusual, 5x5p and its I.

?new row #1:c,g,a,b,e,d,f,bb,ab,gb,db,eb
?voc #1:2
?inc har:0,0
?run
working...
i/5/6:...............C  G  A  B  E  D  F  Bb Ab F# C# Eb 
p/0/0:...............C  G  A  B  E  D  F  Bb Ab F# C# Eb 

5x5p/p/8/4:..........C  G  A  B  E  D  F  Bb Ab F# C# Eb 
p/0/0:...............C  G  A  B  E  D  F  Bb Ab F# C# Eb 

5x5p/i/9/10:.........C  G  A  B  E  D  F  Bb Ab F# C# Eb 
p/0/0:...............C  G  A  B  E  D  F  Bb Ab F# C# Eb

Last edited by calebprime; 13th January 2018 at 04:30 AM.
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Old 13th January 2018, 07:06 AM   #54
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Cigar Bed is distinct:

modulus: 12
wolf intervals (between any two notes): (13 15)
display multiple spellings: #f
acceptable error when naming scales (cents): 0
sort order: (length rotation wolves 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: 2
maximum number of same consecutive intervals: 4
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: 1
look for standard transformations of motif: #t
look for 5m transformations of motif: #f
minimum spacing: 1
maximum spacing: 9
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 9
minimum number of 1-spaces: 0
maximum number of 1-spaces: 9
minimum number of occurrences of motif in row: 0
wrap when computing spacing: #t
maximum number of rows to display: 2000
file of results to search within: /Users/calebbiggusdickus/Desktop/canon

finding rows....done

number of rows found: 13

removing near-duplicates...done

number of rows remaining: 13

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

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

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

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

(0 9 4 3 6 11 10 8 2 7 1 5)
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Old 13th January 2018, 08:52 AM   #55
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A nice set of 32 series, each equivalent to itself at not-exactly every 5th note, down a minor third.

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

e,a,c#,f#,b,eb,ab,c,f,bb,d,g
5,4,5,5,4,5,4,5,5,4,5,9, to be exact
M) modulus: 12
P) permutation: 4,9,1,6,11,3,8,0,5,10,2,7
C) center interval of self-similarity: 3
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 3
S) maximum sum of all deviations: 20
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 10 2 3 11 5 9 8 4 7 6 - 12 0 0
0 1 10 5 3 2 8 9 11 4 7 6 - 12 0 0
0 1 10 8 3 5 11 9 2 4 7 6 - 12 0 0
0 1 10 11 3 8 2 9 5 4 7 6 - 12 0 0
0 2 11 1 3 10 4 9 7 5 8 6 - 12 0 0
0 2 11 4 3 1 7 9 10 5 8 6 - 12 0 0
0 2 11 7 3 4 10 9 1 5 8 6 - 12 0 0
0 2 11 10 3 7 1 9 4 5 8 6 - 12 0 0
0 4 1 2 3 11 5 9 8 7 10 6 - 12 0 0
0 4 1 5 3 2 8 9 11 7 10 6 - 12 0 0
0 4 1 8 3 5 11 9 2 7 10 6 - 12 0 0
0 4 1 11 3 8 2 9 5 7 10 6 - 12 0 0
0 5 2 1 3 10 4 9 7 8 11 6 - 12 0 0
0 5 2 4 3 1 7 9 10 8 11 6 - 12 0 0
0 5 2 7 3 4 10 9 1 8 11 6 - 12 0 0
0 5 2 10 3 7 1 9 4 8 11 6 - 12 0 0
0 7 4 2 3 11 5 9 8 10 1 6 - 12 0 0
0 7 4 5 3 2 8 9 11 10 1 6 - 12 0 0
0 7 4 8 3 5 11 9 2 10 1 6 - 12 0 0
0 7 4 11 3 8 2 9 5 10 1 6 - 12 0 0
0 8 5 1 3 10 4 9 7 11 2 6 - 12 0 0
0 8 5 4 3 1 7 9 10 11 2 6 - 12 0 0
0 8 5 7 3 4 10 9 1 11 2 6 - 12 0 0
0 8 5 10 3 7 1 9 4 11 2 6 - 12 0 0
0 10 7 2 3 11 5 9 8 1 4 6 - 12 0 0
0 10 7 5 3 2 8 9 11 1 4 6 - 12 0 0
0 10 7 8 3 5 11 9 2 1 4 6 - 12 0 0
0 10 7 11 3 8 2 9 5 1 4 6 - 12 0 0
0 11 8 1 3 10 4 9 7 2 5 6 - 12 0 0
0 11 8 4 3 1 7 9 10 2 5 6 - 12 0 0
0 11 8 7 3 4 10 9 1 2 5 6 - 12 0 0
0 11 8 10 3 7 1 9 4 2 5 6 - 12 0 0
found 32 solutions.

Last edited by calebprime; 13th January 2018 at 08:56 AM.
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Old 14th January 2018, 07:02 AM   #56
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Today's candidate for Row of the Day, Degenerate, is also the father of a group of 162 series self-sim at 4, (bottom of code section in spoiler) so it will do double double duty. My technique for finding these isn't very good -- I had to look at about 15 of them before I found this one.

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

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

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


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

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


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

2,2,2,11,2,1,7,6,1,3,10,1

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


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


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












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




M) modulus: 12 P) permutation: 6,7,10,0,5,9,3,8,1,4,11,2 C) center interval of self-similarity: 4 O) minimum number of occurrences of center: 10 D) maximum deviation from center: 12 S) maximum sum of all deviations: 24 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: 3000 W) wrap: on 1) perform new full search 2) search within results of last full search 9) quit enter choice: 1 working... 0 1 2 8 3 7 4 5 9 11 6 10 - 12 0 0 0 1 2 8 7 11 4 5 9 3 6 10 - 12 0 0 0 1 2 8 11 3 4 5 9 7 6 10 - 12 0 0 0 1 3 8 2 6 4 5 9 10 7 11 - 12 0 0 0 1 3 8 6 10 4 5 9 2 7 11 - 12 0 0 0 1 3 8 10 2 4 5 9 6 7 11 - 12 0 0 0 1 6 8 3 7 4 5 9 11 10 2 - 12 0 0 0 1 6 8 7 11 4 5 9 3 10 2 - 12 0 0 0 1 6 8 11 3 4 5 9 7 10 2 - 12 0 0 0 1 7 8 2 6 4 5 9 10 11 3 - 12 0 0 0 1 7 8 6 10 4 5 9 2 11 3 - 12 0 0 0 1 7 8 10 2 4 5 9 6 11 3 - 12 0 0 0 1 10 8 3 7 4 5 9 11 2 6 - 12 0 0 0 1 10 8 7 11 4 5 9 3 2 6 - 12 0 0 0 1 10 8 11 3 4 5 9 7 2 6 - 12 0 0 0 1 11 8 2 6 4 5 9 10 3 7 - 12 0 0 0 1 11 8 6 10 4 5 9 2 3 7 - 12 0 0 0 1 11 8 10 2 4 5 9 6 3 7 - 12 0 0 0 2 1 8 3 7 4 6 10 11 5 9 - 12 0 0 0 2 1 8 7 11 4 6 10 3 5 9 - 12 0 0 0 2 1 8 11 3 4 6 10 7 5 9 - 12 0 0 0 2 3 8 1 5 4 6 10 9 7 11 - 12 0 0 0 2 3 8 5 9 4 6 10 1 7 11 - 12 0 0 0 2 3 8 9 1 4 6 10 5 7 11 - 12 0 0 0 2 5 8 3 7 4 6 10 11 9 1 - 12 0 0 0 2 5 8 7 11 4 6 10 3 9 1 - 12 0 0 0 2 5 8 11 3 4 6 10 7 9 1 - 12 0 0 0 2 7 8 1 5 4 6 10 9 11 3 - 12 0 0 0 2 7 8 5 9 4 6 10 1 11 3 - 12 0 0 0 2 7 8 9 1 4 6 10 5 11 3 - 12 0 0 0 2 9 8 3 7 4 6 10 11 1 5 - 12 0 0 0 2 9 8 7 11 4 6 10 3 1 5 - 12 0 0 0 2 9 8 11 3 4 6 10 7 1 5 - 12 0 0 0 2 11 8 1 5 4 6 10 9 3 7 - 12 0 0 0 2 11 8 5 9 4 6 10 1 3 7 - 12 0 0 0 2 11 8 9 1 4 6 10 5 3 7 - 12 0 0 0 3 1 8 2 6 4 7 11 10 5 9 - 12 0 0 0 3 1 8 6 10 4 7 11 2 5 9 - 12 0 0 0 3 1 8 10 2 4 7 11 6 5 9 - 12 0 0 0 3 2 8 1 5 4 7 11 9 6 10 - 12 0 0 0 3 2 8 5 9 4 7 11 1 6 10 - 12 0 0 0 3 2 8 9 1 4 7 11 5 6 10 - 12 0 0 0 3 5 8 2 6 4 7 11 10 9 1 - 12 0 0 0 3 5 8 6 10 4 7 11 2 9 1 - 12 0 0 0 3 5 8 10 2 4 7 11 6 9 1 - 12 0 0 0 3 6 8 1 5 4 7 11 9 10 2 - 12 0 0 0 3 6 8 5 9 4 7 11 1 10 2 - 12 0 0 0 3 6 8 9 1 4 7 11 5 10 2 - 12 0 0 0 3 9 8 2 6 4 7 11 10 1 5 - 12 0 0 0 3 9 8 6 10 4 7 11 2 1 5 - 12 0 0 0 3 9 8 10 2 4 7 11 6 1 5 - 12 0 0 0 3 10 8 1 5 4 7 11 9 2 6 - 12 0 0 0 3 10 8 5 9 4 7 11 1 2 6 - 12 0 0 0 3 10 8 9 1 4 7 11 5 2 6 - 12 0 0 0 5 2 8 3 7 4 9 1 11 6 10 - 12 0 0 0 5 2 8 7 11 4 9 1 3 6 10 - 12 0 0 0 5 2 8 11 3 4 9 1 7 6 10 - 12 0 0 0 5 3 8 2 6 4 9 1 10 7 11 - 12 0 0 0 5 3 8 6 10 4 9 1 2 7 11 - 12 0 0 0 5 3 8 10 2 4 9 1 6 7 11 - 12 0 0 0 5 6 8 3 7 4 9 1 11 10 2 - 12 0 0 0 5 6 8 7 11 4 9 1 3 10 2 - 12 0 0 0 5 6 8 11 3 4 9 1 7 10 2 - 12 0 0 0 5 7 8 2 6 4 9 1 10 11 3 - 12 0 0 0 5 7 8 6 10 4 9 1 2 11 3 - 12 0 0 0 5 7 8 10 2 4 9 1 6 11 3 - 12 0 0 0 5 10 8 3 7 4 9 1 11 2 6 - 12 0 0 0 5 10 8 7 11 4 9 1 3 2 6 - 12 0 0 0 5 10 8 11 3 4 9 1 7 2 6 - 12 0 0 0 5 11 8 2 6 4 9 1 10 3 7 - 12 0 0 0 5 11 8 6 10 4 9 1 2 3 7 - 12 0 0 0 5 11 8 10 2 4 9 1 6 3 7 - 12 0 0 0 6 1 8 3 7 4 10 2 11 5 9 - 12 0 0 0 6 1 8 7 11 4 10 2 3 5 9 - 12 0 0 0 6 1 8 11 3 4 10 2 7 5 9 - 12 0 0 0 6 3 8 1 5 4 10 2 9 7 11 - 12 0 0 0 6 3 8 5 9 4 10 2 1 7 11 - 12 0 0 0 6 3 8 9 1 4 10 2 5 7 11 - 12 0 0 0 6 5 8 3 7 4 10 2 11 9 1 - 12 0 0 0 6 5 8 7 11 4 10 2 3 9 1 - 12 0 0 0 6 5 8 11 3 4 10 2 7 9 1 - 12 0 0 0 6 7 8 1 5 4 10 2 9 11 3 - 12 0 0 0 6 7 8 5 9 4 10 2 1 11 3 - 12 0 0 0 6 7 8 9 1 4 10 2 5 11 3 - 12 0 0 0 6 9 8 3 7 4 10 2 11 1 5 - 12 0 0 0 6 9 8 7 11 4 10 2 3 1 5 - 12 0 0 0 6 9 8 11 3 4 10 2 7 1 5 - 12 0 0 0 6 11 8 1 5 4 10 2 9 3 7 - 12 0 0 0 6 11 8 5 9 4 10 2 1 3 7 - 12 0 0 0 6 11 8 9 1 4 10 2 5 3 7 - 12 0 0 0 7 1 8 2 6 4 11 3 10 5 9 - 12 0 0 0 7 1 8 6 10 4 11 3 2 5 9 - 12 0 0 0 7 1 8 10 2 4 11 3 6 5 9 - 12 0 0 0 7 2 8 1 5 4 11 3 9 6 10 - 12 0 0 0 7 2 8 5 9 4 11 3 1 6 10 - 12 0 0 0 7 2 8 9 1 4 11 3 5 6 10 - 12 0 0 0 7 5 8 2 6 4 11 3 10 9 1 - 12 0 0 0 7 5 8 6 10 4 11 3 2 9 1 - 12 0 0 0 7 5 8 10 2 4 11 3 6 9 1 - 12 0 0 0 7 6 8 1 5 4 11 3 9 10 2 - 12 0 0 0 7 6 8 5 9 4 11 3 1 10 2 - 12 0 0 0 7 6 8 9 1 4 11 3 5 10 2 - 12 0 0 0 7 9 8 2 6 4 11 3 10 1 5 - 12 0 0 0 7 9 8 6 10 4 11 3 2 1 5 - 12 0 0 0 7 9 8 10 2 4 11 3 6 1 5 - 12 0 0 0 7 10 8 1 5 4 11 3 9 2 6 - 12 0 0 0 7 10 8 5 9 4 11 3 1 2 6 - 12 0 0 0 7 10 8 9 1 4 11 3 5 2 6 - 12 0 0 0 9 2 8 3 7 4 1 5 11 6 10 - 12 0 0 0 9 2 8 7 11 4 1 5 3 6 10 - 12 0 0 0 9 2 8 11 3 4 1 5 7 6 10 - 12 0 0 0 9 3 8 2 6 4 1 5 10 7 11 - 12 0 0 0 9 3 8 6 10 4 1 5 2 7 11 - 12 0 0 0 9 3 8 10 2 4 1 5 6 7 11 - 12 0 0 0 9 6 8 3 7 4 1 5 11 10 2 - 12 0 0 0 9 6 8 7 11 4 1 5 3 10 2 - 12 0 0 0 9 6 8 11 3 4 1 5 7 10 2 - 12 0 0 0 9 7 8 2 6 4 1 5 10 11 3 - 12 0 0 0 9 7 8 6 10 4 1 5 2 11 3 - 12 0 0 0 9 7 8 10 2 4 1 5 6 11 3 - 12 0 0 0 9 10 8 3 7 4 1 5 11 2 6 - 12 0 0 0 9 10 8 7 11 4 1 5 3 2 6 - 12 0 0 0 9 10 8 11 3 4 1 5 7 2 6 - 12 0 0 0 9 11 8 2 6 4 1 5 10 3 7 - 12 0 0 0 9 11 8 6 10 4 1 5 2 3 7 - 12 0 0 0 9 11 8 10 2 4 1 5 6 3 7 - 12 0 0 0 10 1 8 3 7 4 2 6 11 5 9 - 12 0 0 0 10 1 8 7 11 4 2 6 3 5 9 - 12 0 0 0 10 1 8 11 3 4 2 6 7 5 9 - 12 0 0 0 10 3 8 1 5 4 2 6 9 7 11 - 12 0 0 0 10 3 8 5 9 4 2 6 1 7 11 - 12 0 0 0 10 3 8 9 1 4 2 6 5 7 11 - 12 0 0 0 10 5 8 3 7 4 2 6 11 9 1 - 12 0 0 0 10 5 8 7 11 4 2 6 3 9 1 - 12 0 0 0 10 5 8 11 3 4 2 6 7 9 1 - 12 0 0 0 10 7 8 1 5 4 2 6 9 11 3 - 12 0 0 0 10 7 8 5 9 4 2 6 1 11 3 - 12 0 0 0 10 7 8 9 1 4 2 6 5 11 3 - 12 0 0 0 10 9 8 3 7 4 2 6 11 1 5 - 12 0 0 0 10 9 8 7 11 4 2 6 3 1 5 - 12 0 0 0 10 9 8 11 3 4 2 6 7 1 5 - 12 0 0 0 10 11 8 1 5 4 2 6 9 3 7 - 12 0 0 0 10 11 8 5 9 4 2 6 1 3 7 - 12 0 0 0 10 11 8 9 1 4 2 6 5 3 7 - 12 0 0 0 11 1 8 2 6 4 3 7 10 5 9 - 12 0 0 0 11 1 8 6 10 4 3 7 2 5 9 - 12 0 0 0 11 1 8 10 2 4 3 7 6 5 9 - 12 0 0 0 11 2 8 1 5 4 3 7 9 6 10 - 12 0 0 0 11 2 8 5 9 4 3 7 1 6 10 - 12 0 0 0 11 2 8 9 1 4 3 7 5 6 10 - 12 0 0 0 11 5 8 2 6 4 3 7 10 9 1 - 12 0 0 0 11 5 8 6 10 4 3 7 2 9 1 - 12 0 0 0 11 5 8 10 2 4 3 7 6 9 1 - 12 0 0 0 11 6 8 1 5 4 3 7 9 10 2 - 12 0 0 0 11 6 8 5 9 4 3 7 1 10 2 - 12 0 0 0 11 6 8 9 1 4 3 7 5 10 2 - 12 0 0 0 11 9 8 2 6 4 3 7 10 1 5 - 12 0 0 0 11 9 8 6 10 4 3 7 2 1 5 - 12 0 0 0 11 9 8 10 2 4 3 7 6 1 5 - 12 0 0 0 11 10 8 1 5 4 3 7 9 2 6 - 12 0 0 0 11 10 8 5 9 4 3 7 1 2 6 - 12 0 0 0 11 10 8 9 1 4 3 7 5 2 6 - 12 0 0 found 162 solutions.
*

Last edited by calebprime; 14th January 2018 at 08:30 AM.
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Old 14th January 2018, 08:41 AM   #57
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Degenerate is distinct to 4 places from the others. If 5 places need to be distinct, 2 rows currently are eliminated, meaning they have up to 7 places the same as one of the others in some configuration -- some rotation, inversion, retrograde, transposition.
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Old 15th January 2018, 05:33 AM   #58
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Today's row of the day, Big ****in' Deal, is slightly dodgy because the complete orbit of self-similarity at the minor 7th is backwards. These are more complicated to use if you want the self-sim to be heard. (Chains have alternating forwards/backwards, so you at least hear the resemblance between every other series in that scheme).


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

Big ****in' Deal



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

5,5,5,5,5,5,8,5,9,5,2,1

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






.....................0..1..2..3..4..5..6..7..8..9..10.11..
r/10/1:..............C# Ab F# D  Bb C  Eb A  G  E  B  F  
.....................c#....f#.............a........b..f...
..............................d.....c...........e.........
........................ab.......bb....eb|...g............

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


M) modulus: 12
P) permutation: 6,4,1,9,5,3,11,10,7,2,0,8
C) center interval of self-similarity: 2
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
W) wrap: on

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

enter choice: 1
working...
0 1 11 7 3 5 2 8 6 9 10 4 - 12 0 0
0 3 1 9 5 7 2 8 6 11 10 4 - 12 0 0
0 5 3 11 7 9 2 8 6 1 10 4 - 12 0 0
0 7 5 1 9 11 2 8 6 3 10 4 - 12 0 0
0 9 7 3 11 1 2 8 6 5 10 4 - 12 0 0
0 11 9 5 1 3 2 8 6 7 10 4 - 12 0 0
found 6 solutions.
The title refers to a legitimate grad-school joke, so it's ok.
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Old 15th January 2018, 06:53 AM   #59
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Big ****in' Deal tests as distinct from the others. (These tests don't include ones for every-other squares, so it's almost certain I'm missing those connections until I do that work.)

number of rows found: 15

removing near-duplicates...done

number of rows remaining: 15

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

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

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

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

(0 5 4 10 1 9 7 3 8 6 11 2) (0 9 1 6 11 10 5 3 2 8 4 7) (0 9 4 3 6 11 10 8 2 7 1 5)
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Old 16th January 2018, 02:27 AM   #60
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It's not clear yet if today's row, Nigel's Amp, is part of a new group of 162 permutations, or whether this is the same group we found before.

Nigel's Amp has self-similarity that starts at 10, and goes to 11! Eleven!
(This can be observed in the columns of the every-other square.)

It has good self-sim of the power-residue type, and it also makes a complete orbit, so it qualifies as a dual-property row.


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

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

10,10,10,10,11,11,7,2,8,10,8,11

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

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

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

M) modulus: 12 P) permutation: 3,7,0,2,5,8,10,11,4,6,9,1 C) center interval of self-similarity: 4 O) minimum number of occurrences of center: 10 D) maximum deviation from center: 12 S) maximum sum of all deviations: 24 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: 3000 W) wrap: on 1) perform new full search 2) search within results of last full search 9) quit enter choice: 1 working... 0 1 8 4 2 6 3 5 10 11 7 9 - 12 0 0 0 1 8 4 2 6 7 5 10 3 11 9 - 12 0 0 0 1 8 4 2 6 11 5 10 7 3 9 - 12 0 0 0 1 8 4 3 7 2 5 11 10 6 9 - 12 0 0 0 1 8 4 3 7 6 5 11 2 10 9 - 12 0 0 0 1 8 4 3 7 10 5 11 6 2 9 - 12 0 0 0 1 8 4 6 10 3 5 2 11 7 9 - 12 0 0 0 1 8 4 6 10 7 5 2 3 11 9 - 12 0 0 0 1 8 4 6 10 11 5 2 7 3 9 - 12 0 0 0 1 8 4 7 11 2 5 3 10 6 9 - 12 0 0 0 1 8 4 7 11 6 5 3 2 10 9 - 12 0 0 0 1 8 4 7 11 10 5 3 6 2 9 - 12 0 0 0 1 8 4 10 2 3 5 6 11 7 9 - 12 0 0 0 1 8 4 10 2 7 5 6 3 11 9 - 12 0 0 0 1 8 4 10 2 11 5 6 7 3 9 - 12 0 0 0 1 8 4 11 3 2 5 7 10 6 9 - 12 0 0 0 1 8 4 11 3 6 5 7 2 10 9 - 12 0 0 0 1 8 4 11 3 10 5 7 6 2 9 - 12 0 0 0 2 8 4 1 5 3 6 9 11 7 10 - 12 0 0 0 2 8 4 1 5 7 6 9 3 11 10 - 12 0 0 0 2 8 4 1 5 11 6 9 7 3 10 - 12 0 0 0 2 8 4 3 7 1 6 11 9 5 10 - 12 0 0 0 2 8 4 3 7 5 6 11 1 9 10 - 12 0 0 0 2 8 4 3 7 9 6 11 5 1 10 - 12 0 0 0 2 8 4 5 9 3 6 1 11 7 10 - 12 0 0 0 2 8 4 5 9 7 6 1 3 11 10 - 12 0 0 0 2 8 4 5 9 11 6 1 7 3 10 - 12 0 0 0 2 8 4 7 11 1 6 3 9 5 10 - 12 0 0 0 2 8 4 7 11 5 6 3 1 9 10 - 12 0 0 0 2 8 4 7 11 9 6 3 5 1 10 - 12 0 0 0 2 8 4 9 1 3 6 5 11 7 10 - 12 0 0 0 2 8 4 9 1 7 6 5 3 11 10 - 12 0 0 0 2 8 4 9 1 11 6 5 7 3 10 - 12 0 0 0 2 8 4 11 3 1 6 7 9 5 10 - 12 0 0 0 2 8 4 11 3 5 6 7 1 9 10 - 12 0 0 0 2 8 4 11 3 9 6 7 5 1 10 - 12 0 0 0 3 8 4 1 5 2 7 9 10 6 11 - 12 0 0 0 3 8 4 1 5 6 7 9 2 10 11 - 12 0 0 0 3 8 4 1 5 10 7 9 6 2 11 - 12 0 0 0 3 8 4 2 6 1 7 10 9 5 11 - 12 0 0 0 3 8 4 2 6 5 7 10 1 9 11 - 12 0 0 0 3 8 4 2 6 9 7 10 5 1 11 - 12 0 0 0 3 8 4 5 9 2 7 1 10 6 11 - 12 0 0 0 3 8 4 5 9 6 7 1 2 10 11 - 12 0 0 0 3 8 4 5 9 10 7 1 6 2 11 - 12 0 0 0 3 8 4 6 10 1 7 2 9 5 11 - 12 0 0 0 3 8 4 6 10 5 7 2 1 9 11 - 12 0 0 0 3 8 4 6 10 9 7 2 5 1 11 - 12 0 0 0 3 8 4 9 1 2 7 5 10 6 11 - 12 0 0 0 3 8 4 9 1 6 7 5 2 10 11 - 12 0 0 0 3 8 4 9 1 10 7 5 6 2 11 - 12 0 0 0 3 8 4 10 2 1 7 6 9 5 11 - 12 0 0 0 3 8 4 10 2 5 7 6 1 9 11 - 12 0 0 0 3 8 4 10 2 9 7 6 5 1 11 - 12 0 0 0 5 8 4 2 6 3 9 10 11 7 1 - 12 0 0 0 5 8 4 2 6 7 9 10 3 11 1 - 12 0 0 0 5 8 4 2 6 11 9 10 7 3 1 - 12 0 0 0 5 8 4 3 7 2 9 11 10 6 1 - 12 0 0 0 5 8 4 3 7 6 9 11 2 10 1 - 12 0 0 0 5 8 4 3 7 10 9 11 6 2 1 - 12 0 0 0 5 8 4 6 10 3 9 2 11 7 1 - 12 0 0 0 5 8 4 6 10 7 9 2 3 11 1 - 12 0 0 0 5 8 4 6 10 11 9 2 7 3 1 - 12 0 0 0 5 8 4 7 11 2 9 3 10 6 1 - 12 0 0 0 5 8 4 7 11 6 9 3 2 10 1 - 12 0 0 0 5 8 4 7 11 10 9 3 6 2 1 - 12 0 0 0 5 8 4 10 2 3 9 6 11 7 1 - 12 0 0 0 5 8 4 10 2 7 9 6 3 11 1 - 12 0 0 0 5 8 4 10 2 11 9 6 7 3 1 - 12 0 0 0 5 8 4 11 3 2 9 7 10 6 1 - 12 0 0 0 5 8 4 11 3 6 9 7 2 10 1 - 12 0 0 0 5 8 4 11 3 10 9 7 6 2 1 - 12 0 0 0 6 8 4 1 5 3 10 9 11 7 2 - 12 0 0 0 6 8 4 1 5 7 10 9 3 11 2 - 12 0 0 0 6 8 4 1 5 11 10 9 7 3 2 - 12 0 0 0 6 8 4 3 7 1 10 11 9 5 2 - 12 0 0 0 6 8 4 3 7 5 10 11 1 9 2 - 12 0 0 0 6 8 4 3 7 9 10 11 5 1 2 - 12 0 0 0 6 8 4 5 9 3 10 1 11 7 2 - 12 0 0 0 6 8 4 5 9 7 10 1 3 11 2 - 12 0 0 0 6 8 4 5 9 11 10 1 7 3 2 - 12 0 0 0 6 8 4 7 11 1 10 3 9 5 2 - 12 0 0 0 6 8 4 7 11 5 10 3 1 9 2 - 12 0 0 0 6 8 4 7 11 9 10 3 5 1 2 - 12 0 0 0 6 8 4 9 1 3 10 5 11 7 2 - 12 0 0 0 6 8 4 9 1 7 10 5 3 11 2 - 12 0 0 0 6 8 4 9 1 11 10 5 7 3 2 - 12 0 0 0 6 8 4 11 3 1 10 7 9 5 2 - 12 0 0 0 6 8 4 11 3 5 10 7 1 9 2 - 12 0 0 0 6 8 4 11 3 9 10 7 5 1 2 - 12 0 0 0 7 8 4 1 5 2 11 9 10 6 3 - 12 0 0 0 7 8 4 1 5 6 11 9 2 10 3 - 12 0 0 0 7 8 4 1 5 10 11 9 6 2 3 - 12 0 0 0 7 8 4 2 6 1 11 10 9 5 3 - 12 0 0 0 7 8 4 2 6 5 11 10 1 9 3 - 12 0 0 0 7 8 4 2 6 9 11 10 5 1 3 - 12 0 0 0 7 8 4 5 9 2 11 1 10 6 3 - 12 0 0 0 7 8 4 5 9 6 11 1 2 10 3 - 12 0 0 0 7 8 4 5 9 10 11 1 6 2 3 - 12 0 0 0 7 8 4 6 10 1 11 2 9 5 3 - 12 0 0 0 7 8 4 6 10 5 11 2 1 9 3 - 12 0 0 0 7 8 4 6 10 9 11 2 5 1 3 - 12 0 0 0 7 8 4 9 1 2 11 5 10 6 3 - 12 0 0 0 7 8 4 9 1 6 11 5 2 10 3 - 12 0 0 0 7 8 4 9 1 10 11 5 6 2 3 - 12 0 0 0 7 8 4 10 2 1 11 6 9 5 3 - 12 0 0 0 7 8 4 10 2 5 11 6 1 9 3 - 12 0 0 0 7 8 4 10 2 9 11 6 5 1 3 - 12 0 0 0 9 8 4 2 6 3 1 10 11 7 5 - 12 0 0 0 9 8 4 2 6 7 1 10 3 11 5 - 12 0 0 0 9 8 4 2 6 11 1 10 7 3 5 - 12 0 0 0 9 8 4 3 7 2 1 11 10 6 5 - 12 0 0 0 9 8 4 3 7 6 1 11 2 10 5 - 12 0 0 0 9 8 4 3 7 10 1 11 6 2 5 - 12 0 0 0 9 8 4 6 10 3 1 2 11 7 5 - 12 0 0 0 9 8 4 6 10 7 1 2 3 11 5 - 12 0 0 0 9 8 4 6 10 11 1 2 7 3 5 - 12 0 0 0 9 8 4 7 11 2 1 3 10 6 5 - 12 0 0 0 9 8 4 7 11 6 1 3 2 10 5 - 12 0 0 0 9 8 4 7 11 10 1 3 6 2 5 - 12 0 0 0 9 8 4 10 2 3 1 6 11 7 5 - 12 0 0 0 9 8 4 10 2 7 1 6 3 11 5 - 12 0 0 0 9 8 4 10 2 11 1 6 7 3 5 - 12 0 0 0 9 8 4 11 3 2 1 7 10 6 5 - 12 0 0 0 9 8 4 11 3 6 1 7 2 10 5 - 12 0 0 0 9 8 4 11 3 10 1 7 6 2 5 - 12 0 0 0 10 8 4 1 5 3 2 9 11 7 6 - 12 0 0 0 10 8 4 1 5 7 2 9 3 11 6 - 12 0 0 0 10 8 4 1 5 11 2 9 7 3 6 - 12 0 0 0 10 8 4 3 7 1 2 11 9 5 6 - 12 0 0 0 10 8 4 3 7 5 2 11 1 9 6 - 12 0 0 0 10 8 4 3 7 9 2 11 5 1 6 - 12 0 0 0 10 8 4 5 9 3 2 1 11 7 6 - 12 0 0 0 10 8 4 5 9 7 2 1 3 11 6 - 12 0 0 0 10 8 4 5 9 11 2 1 7 3 6 - 12 0 0 0 10 8 4 7 11 1 2 3 9 5 6 - 12 0 0 0 10 8 4 7 11 5 2 3 1 9 6 - 12 0 0 0 10 8 4 7 11 9 2 3 5 1 6 - 12 0 0 0 10 8 4 9 1 3 2 5 11 7 6 - 12 0 0 0 10 8 4 9 1 7 2 5 3 11 6 - 12 0 0 0 10 8 4 9 1 11 2 5 7 3 6 - 12 0 0 0 10 8 4 11 3 1 2 7 9 5 6 - 12 0 0 0 10 8 4 11 3 5 2 7 1 9 6 - 12 0 0 0 10 8 4 11 3 9 2 7 5 1 6 - 12 0 0 0 11 8 4 1 5 2 3 9 10 6 7 - 12 0 0 0 11 8 4 1 5 6 3 9 2 10 7 - 12 0 0 0 11 8 4 1 5 10 3 9 6 2 7 - 12 0 0 0 11 8 4 2 6 1 3 10 9 5 7 - 12 0 0 0 11 8 4 2 6 5 3 10 1 9 7 - 12 0 0 0 11 8 4 2 6 9 3 10 5 1 7 - 12 0 0 0 11 8 4 5 9 2 3 1 10 6 7 - 12 0 0 0 11 8 4 5 9 6 3 1 2 10 7 - 12 0 0 0 11 8 4 5 9 10 3 1 6 2 7 - 12 0 0 0 11 8 4 6 10 1 3 2 9 5 7 - 12 0 0 0 11 8 4 6 10 5 3 2 1 9 7 - 12 0 0 0 11 8 4 6 10 9 3 2 5 1 7 - 12 0 0 0 11 8 4 9 1 2 3 5 10 6 7 - 12 0 0 0 11 8 4 9 1 6 3 5 2 10 7 - 12 0 0 0 11 8 4 9 1 10 3 5 6 2 7 - 12 0 0 0 11 8 4 10 2 1 3 6 9 5 7 - 12 0 0 0 11 8 4 10 2 5 3 6 1 9 7 - 12 0 0 0 11 8 4 10 2 9 3 6 5 1 7 - 12 0 0 found 162 solutions.
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Old 16th January 2018, 03:22 AM   #61
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Nigel's Amp is distinct from the other 15 series we've collected so far. But the number of distinct series goes down to 13 when we eliminate (all but one of) those with 8 places in common.

Code:
removing near-duplicates...done

number of rows remaining: 16

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

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

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

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

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

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

number of rows remaining: 13 (0 2 3 9 10 6 7 1 5 8 4 11) (0 2 8 4 5 10 1 6 3 7 9 11) (0 10 2 3 6 7 4 1 9 11 5 8) (0 3 7 6 4 10 8 9 2 11 5 1) (0 4 7 8 1 11 9 3 10 5 6 2) (0 9 2 6 1 11 7 3 4 10 5 8) (0 1 7 2 10 8 4 3 6 11 5 9) (0 7 9 11 4 2 5 10 8 6 1 3) (0 4 6 10 7 3 11 1 8 2 5 9) (0 5 8 10 4 1 11 3 7 9 2 6) (0 5 4 10 1 9 7 3 8 6 11 2) (0 9 1 6 11 10 5 3 2 8 4 7) (0 9 4 3 6 11 10 8 2 7 1 5)

Last edited by calebprime; 16th January 2018 at 03:26 AM.
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Old 17th January 2018, 02:39 AM   #62
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In honor of the Steely Dan Mu Chord, today's dual-prop row is Mu-tation.

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

Mu-tation has ok self-similiarity of the power-res type, and makes a complete orbit at the minor third (3) so it qualifies as a dual-property row.

I'll bet it's distinct. I'm not sure what version (inversion, trans, rotation, retro) of this series sounds best if any.

There are only maybe a dozen candidates left on a list of suspects to try. I don't know if there are dozens of these series or hundreds.


Code:
Mu-tation

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

column intervals of every-other square:  7,7,8,6,9,7,7,6,2,6,1,6,



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






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



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

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





M) modulus: 12
P) permutation: 10,7,1,9,3,2,8,5,0,11,6,4
C) center interval of self-similarity: 3
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
W) wrap: on

enter choice: 1
working...
0 1 10 2 11 7 6 4 9 5 3 8 - 12 0 0
0 1 10 5 2 7 6 4 9 8 3 11 - 12 0 0
0 1 10 8 5 7 6 4 9 11 3 2 - 12 0 0
0 1 10 11 8 7 6 4 9 2 3 5 - 12 0 0
0 2 11 1 10 8 6 5 9 4 3 7 - 12 0 0
0 2 11 4 1 8 6 5 9 7 3 10 - 12 0 0
0 2 11 7 4 8 6 5 9 10 3 1 - 12 0 0
0 2 11 10 7 8 6 5 9 1 3 4 - 12 0 0
0 4 1 2 11 10 6 7 9 5 3 8 - 12 0 0
0 4 1 5 2 10 6 7 9 8 3 11 - 12 0 0
0 4 1 8 5 10 6 7 9 11 3 2 - 12 0 0
0 4 1 11 8 10 6 7 9 2 3 5 - 12 0 0
0 5 2 1 10 11 6 8 9 4 3 7 - 12 0 0
0 5 2 4 1 11 6 8 9 7 3 10 - 12 0 0
0 5 2 7 4 11 6 8 9 10 3 1 - 12 0 0
0 5 2 10 7 11 6 8 9 1 3 4 - 12 0 0
0 7 4 2 11 1 6 10 9 5 3 8 - 12 0 0
0 7 4 5 2 1 6 10 9 8 3 11 - 12 0 0
0 7 4 8 5 1 6 10 9 11 3 2 - 12 0 0
0 7 4 11 8 1 6 10 9 2 3 5 - 12 0 0
0 8 5 1 10 2 6 11 9 4 3 7 - 12 0 0
0 8 5 4 1 2 6 11 9 7 3 10 - 12 0 0
0 8 5 7 4 2 6 11 9 10 3 1 - 12 0 0
0 8 5 10 7 2 6 11 9 1 3 4 - 12 0 0
0 10 7 2 11 4 6 1 9 5 3 8 - 12 0 0
0 10 7 5 2 4 6 1 9 8 3 11 - 12 0 0
0 10 7 8 5 4 6 1 9 11 3 2 - 12 0 0
0 10 7 11 8 4 6 1 9 2 3 5 - 12 0 0
0 11 8 1 10 5 6 2 9 4 3 7 - 12 0 0
0 11 8 4 1 5 6 2 9 7 3 10 - 12 0 0
0 11 8 7 4 5 6 2 9 10 3 1 - 12 0 0
0 11 8 10 7 5 6 2 9 1 3 4 - 12 0 0
found 32 solutions.

Last edited by calebprime; 17th January 2018 at 02:48 AM.
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Old 17th January 2018, 03:18 AM   #63
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Mu-tation is unique to at least 4 places:

number of rows remaining: 17

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

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

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

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

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

(0 9 4 3 6 11 10 8 2 7 1 5) (0 10 4 8 7 3 1 6 11 5 9 2)
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Old 17th January 2018, 05:46 AM   #64
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This is my response to requests to dumb this down. 12-tone row design as a kind of simple game.

Probably this won't suffice, but it's a try.

If someone understands the rules of the simple game and wants to contribute 12-tone rows for my appraisal and their own satisfaction, then good.



Here are the "rules".

> The goal is to design a series that might form the basis of a piece.

> The series uses each of the 12 tones once and only once.

> The series exists as a *set* of series -- it is considered equivalent if the series is, for example transposed (a fixed sum added to the numbers) These variations form the material of the piece.


Standard variations:

•tranposition (adding, subtracting a fixed sum to numbers)

•rotation (the series can begin on any one of its notes, with the next notes following; the series is conceived of as a ring)

•inversion (the numbers are subtracted from 12 to turn the intervals of the series "upside down".)

•retrograde (backwards)



--------------------------
The standard inversion square is a good format to display all the standard variations of the series in one concise block.


columns are transposed inversions, rows are transpositions of top row, the original.
Code:
Db, Gb, A,  B,  F,  D,  C,  E,  Ab, Bb, Eb, G  original series
Ab, Db, E,  Gb, C,  A,  G,  B,  Eb, F,  Bb, D  series transposed up a 5th  (7)
F,  Bb, Db, Eb, A,  Gb, E,  Ab, C,  D,  G,  B  series transposed up a major third (4)
Eb, Ab, B,  Db, G,  E,  D,  Gb, Bb, C,  F,  A
A,  D,  F,  G,  Db, Bb, Ab, C,  E,  Gb, B,  Eb
C,  F,  Ab, Bb, E,  Db, B,  Eb, G,  A,  D,  Gb
D,  G,  Bb, C,  Gb, Eb, Db, F,  A,  B,  E,  Ab
Bb, Eb, Gb, Ab, D,  B,  A,  Db, F,  G,  C,  E
Gb, B,  D,  E,  Bb, G,  F,  A,  Db, Eb, Ab, C
E,  A,  C,  D,  Ab, F,  Eb, G,  B,  Db, Gb, Bb
B,  E,  G,  A,  Eb, C,  Bb, D,  Gb, Ab, Db, F
G,  C,  Eb, F,  B,  Ab, Gb, Bb, D,  E,  A,  Db


Less standard, more advanced variations:

•multiplication of intervals/mapping-functions

•orderly permutation systems such as "every-other".

With all of these, the goal as I see it is not to have the most esoteric variation techniques, but rather the ones that can be heard. The goal is to produce "likeness" with difference. Anything that produces non-trivial "likeness" in a systematic fashion is a potential variation technique.

------------------------------------------

This thread is about designing rows, but not just any rows. The goal is self-similar series, defined in at least two ways.

The real gems of series here are ones that have: self-similarity of the power-residue type *and* of the complete orbit type.

Power residue: every-other note starting on the second note, every third note starting on the third, every fourth note starting on the fourth, etc. The similarity may be inexact, but can be deemed successful or less successful by listening to it.

Complete orbit: Some transposition of the series has the original series embedded in it, with spacing less than 7 notes intervening, as a first approximation.


If you can find series that have both kinds of self-similarity, then the next step for you as composer is to choose one for the musical qualities we haven't talked about here -- harmonic cells, intervals, and yes, "contours". The real gems will be drawn from the double-property pool, but will have unique characteristics as well.

Over the years, I've assembled -- bricolage fashion -- lots of little techniques and applications for dealing with this kind of material.

I feel that if I were smarter and more diligent, I could reason backwards from the desired result and figure out the necessary algebra to produce any and all of these series.


So, design a row! Post it. Don't be afraid, I'll probably tell you it isn't very good or something.





--------------------------------------------

We split off most of the aesthetics and music history and grim purpose. What is left is a simple logical framework for generating pitches. Whatever Schoenberg may have been thinking about, we don't really care.

Distinctions can be made among generative techniques and outcomes; what tunings, what kinds of series, whether pitches can be repeated, whether the material is "the aggregate" (all pitches) or perhaps a synthetic scale of some kind. There is a range of musical styles that relate to composition with series. The range is maybe from Eno to Xenakis -- which is to say we're discussing intellectual music, music that is designed.


In practice, you have a composer like Walter Piston composing with 12-tone rows, but somehow managing to retain his characteristic sound from before serialism to some extent. The musical result is a very complex blend of his old habits and of the technique of working with series.

Usually, the way serialism changes the style of the composers I favor is this: Usually it is a middle-to-late adoption. The music is colder, more abstract, pixellated, cubist. This is not particularly desirable, it's just the nature of late styles.

Piston's basic musicality, his basic concept, is the same. But there is a somewhat grim and forbidding aspect to the sound of his later symphonies that is in keeping with a late style, a serial style.

--------------------------------------------

For how-to books for working with rows:

Simple Composition -- Wuorinen

Serial Composition -- Brindle -- early, British, basic, common-sense, not that hip
to later developments. Almost humble, his limitations, which makes it a much better
book for beginners than anything else I know of. Plain-speaking and concrete. Not like the math envy of later academic serialism in America.
--------------------------------------------

Design a row...

Last edited by calebprime; 17th January 2018 at 05:59 AM.
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Old 17th January 2018, 06:57 AM   #65
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At the risk of being very cryptic, let me say what serialism is and is not*, in a single image.

In Lynda Barry's __Cruddy__, there is a character named Gy-Rah or something who lives in "the lair of the sequined genius" and who writes a poem called "My Dark Itching".

I wish I could find my copy of the book.

The poem "My Dark Itching" is my nightmare version of the way Lynda Barry and people of her musical sensibility view...all constructed music.

It's some absurdly artificial precious pollysyllabic poem about athlete's foot, or something, yelled over a megaphone in a cave by some madman.

If you're Lynda Barry, you believe that the early-adolescent view of the world is of most vital interest. You revere musicians -- especially Blues musicians. In __The Good Times are Killing Me__ she constructs hagiographic portraits of these musicians.

If you revere blues, and the childlike christlike innocent view of the world, you probably have no room in your heart for late Walter Piston.

I have ideas of reference. Not delusions of reference. I believe that the character GyRah the weird constructivist poet who swears at everyone and lives in a cave with his dark itching may be a swipe at me.

I had sent her a CD of a piece I had done based on her voice, and she sent me back a highly complimentary postcard. The relationship rapidly went down hill from there. A few years later, __Cruddy__ came out.

If so, it stings but it's instructive.

the morals:

> Don't follow your roommate's advice

> Don't ask more accomplished artists if they want to collaborate, unless you have a very good idea.

> Don't ask anyone if they want to collaborate. It doesn't work.

> Mostly, music pros and music fans don't mix well.

> Yes, Kenny Werner is right. Art isn't more important than breathing. BUT: my commitment to my own folly is fundamental, all-the-way-down. I'm as serious as a heart attack. These disputes (say, between the Lynda Barry view of the world and my own) are really, really important and fundamental.

In summary, to me Lynda Barry is a major 3rd-rate artist (high praise from me) and she and everyone like her can go to hell -- Ira Glass, Roz Chast -- all the cozy contemporary ironists. They never had any use for me (or anyone like me), and I now see that I have no use for them. Their world is simply far cozier, happier, and more human than mine is. I can't help it.

In other words, yes, this serialist lives in a cave with dark itching. But no, nothing of the rest of that childish portrait -- if it was that -- is accurate or just.

For one thing, construction (and its expressive consequences) is entirely different in music than in language.




* to me, or: what serialism could be or might be, IF.

Last edited by calebprime; 17th January 2018 at 07:08 AM.
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Old 18th January 2018, 02:41 AM   #66
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Billy's Childe is minor and mild...

Named after the very gifted composer/player Billy Childe, who has used a rich minor chord with all the trimmings like this: Bb,F,Db,C,Eb,Ab (Bb minor 7 11, or something, or Ab/Bb-, perhaps.)

The complete rotation side is a little less successful. Billy's Childe is barren -- its offspring are none.

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

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


rotated:

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

Billy's Childe

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



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

? bb,f,c#,c,eb,ab,b,g,e,f#,a,d ? 


p/5/1:...............Bb F# F  Ab C# A  C  E  B  D  G  Eb 
.....................bb....f.....c#....c..............eb...
..............................ab..........e..b.....g.......
........................f#..........a...........d..........

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


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

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

Last edited by calebprime; 18th January 2018 at 03:09 AM.
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Old 18th January 2018, 05:48 AM   #67
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that didn't quite make it, so I'm offering an alternative today,
Obvious Childe 015

together with some supplemental stuff -- a unique 4-part solution, and a 3-part
permutation construction

All of these favor the 015.


Code:
Obvious Childe 015  


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

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

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



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

8,8,6,9,10,1,8,9,10,4,2,9


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


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

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


?voc #1:4
?ex har prox2:0,1,2
?inc har:0,1,5
?har errs: 0 to 4
?ex har:0,3,6,9
?ex har:0,1,2
?ex har:0,0,0
?par uns on
?wrap off
?par 5ths off
?run
working...
ri/8/6:..............F  C# F# Eb D  Bb E  Ab A  B  C  G  
ri/8/5:..............G  F  C# F# Eb D  Bb E  Ab A  B  C  
p/0/1:...............Bb A  F# B  G  F  C  C# Eb E  Ab D  
p/0/0:...............D  Bb A  F# B  G  F  C  C# Eb E  Ab 

 


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



D,  Bb, A,  F#, B,  G,  F,  C,  Db, Eb, E,  Ab
C,  F,  Db, Bb, E,  Eb, Ab, B,  G,  D,  F#, A
B,  Ab, G,  F,  F#, D,  A,  E,  Eb, C,  Bb, Db
E,  A,  Eb, Ab, Bb, C,  Db, F#, D,  B,  F,  G
F#, Db, D,  A,  F,  B,  G,  Bb, C,  E,  Ab, Eb
Bb, G,  C,  Db, Ab, E,  Eb, F,  B,  F#, A,  D
F,  Eb, B,  G,  A,  F#, D,  Ab, E,  Bb, Db, C
Ab, D,  E,  Eb, Db, Bb, C,  A,  F#, F,  G,  B
A,  C,  F#, D,  G,  F,  B,  Db, Bb, Ab, Eb, E
Db, B,  Bb, C,  Eb, Ab, E,  G,  F,  A,  D,  F#
G,  E,  F,  B,  D,  A,  F#, Eb, Ab, Db, C,  Bb
Eb, F#, Ab, E,  C,  Db, Bb, D,  A,  G,  B,  F
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Old 18th January 2018, 08:41 AM   #68
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both of today's rows are distinct enough:

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: 1
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: 1
maximum number of same consecutive intervals: 3
self-equivalence filter - standard: #t
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: 1
look for standard transformations of motif: #t
look for 5m transformations of motif: #f
minimum spacing: 1
maximum spacing: 9
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 8
minimum number of 1-spaces: 0
maximum number of 1-spaces: 9
minimum number of occurrences of motif in row: 0
wrap when computing spacing: #t
maximum number of rows to display: 2000
file of results to search within: /Users/calebmorgan/Desktop/MOFs and Searches/canon

finding rows....done

number of rows found: 17

removing near-duplicates...done

number of rows remaining: 17

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

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

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

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

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

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

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

Last edited by calebprime; 18th January 2018 at 08:47 AM.
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Old 19th January 2018, 05:05 AM   #69
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Today's offering: Jejune

Code:

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

Jejune

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

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

3,4,7,8,3,4,4,9,2,3,5,8

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


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


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

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

M) modulus: 12
P) permutation: 1,10,7,5,2,11,3,8,4,0,9,6
C) center interval of self-similarity: 3
O) minimum number of occurrences of center: 9
D) maximum deviation from center: 3
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 3 1 2 10 5 11 4 7 9 6 8 - 12 0 0
0 3 1 5 10 8 2 4 7 9 6 11 - 12 0 0
0 3 1 8 10 11 5 4 7 9 6 2 - 12 0 0
0 3 1 11 10 2 8 4 7 9 6 5 - 12 0 0
0 3 2 1 11 4 10 5 8 9 6 7 - 12 0 0
0 3 2 4 11 7 1 5 8 9 6 10 - 12 0 0
0 3 2 7 11 10 4 5 8 9 6 1 - 12 0 0
0 3 2 10 11 1 7 5 8 9 6 4 - 12 0 0
0 3 4 2 1 5 11 7 10 9 6 8 - 12 0 0
0 3 4 5 1 8 2 7 10 9 6 11 - 12 0 0
0 3 4 8 1 11 5 7 10 9 6 2 - 12 0 0
0 3 4 11 1 2 8 7 10 9 6 5 - 12 0 0
0 3 5 1 2 4 10 8 11 9 6 7 - 12 0 0
0 3 5 4 2 7 1 8 11 9 6 10 - 12 0 0
0 3 5 7 2 10 4 8 11 9 6 1 - 12 0 0
0 3 5 10 2 1 7 8 11 9 6 4 - 12 0 0
0 3 7 2 4 5 11 10 1 9 6 8 - 12 0 0
0 3 7 5 4 8 2 10 1 9 6 11 - 12 0 0
0 3 7 8 4 11 5 10 1 9 6 2 - 12 0 0
0 3 7 11 4 2 8 10 1 9 6 5 - 12 0 0
0 3 8 1 5 4 10 11 2 9 6 7 - 12 0 0
0 3 8 4 5 7 1 11 2 9 6 10 - 12 0 0
0 3 8 7 5 10 4 11 2 9 6 1 - 12 0 0
0 3 8 10 5 1 7 11 2 9 6 4 - 12 0 0
0 3 10 2 7 5 11 1 4 9 6 8 - 12 0 0
0 3 10 5 7 8 2 1 4 9 6 11 - 12 0 0
0 3 10 8 7 11 5 1 4 9 6 2 - 12 0 0
0 3 10 11 7 2 8 1 4 9 6 5 - 12 0 0
0 3 11 1 8 4 10 2 5 9 6 7 - 12 0 0
0 3 11 4 8 7 1 2 5 9 6 10 - 12 0 0
0 3 11 7 8 10 4 2 5 9 6 1 - 12 0 0
0 3 11 10 8 1 7 2 5 9 6 4 - 12 0 0
found 32 solutions.

comment: It's easy to remember some features of series, very hard to remember everything. All the numbers start to run together eventually. Individual favorite series remain. I have no idea if this series or this permutation group is new or the same as something I already posted. At this point, everything triggers that nagging feeling that you've seen it before.

But we have some good tests, which I will run after consuming the necessary substances which keep body and soul* together.





* not really, it's just a charming figure of speech

Last edited by calebprime; 19th January 2018 at 05:09 AM.
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Old 19th January 2018, 06:14 AM   #70
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Originally Posted by calebprime View Post
At the risk of being very cryptic, let me say what serialism is and is not*, in a single image.

In Lynda Barry's __Cruddy__, there is a character named Gy-Rah or something who lives in "the lair of the sequined genius" and who writes a poem called "My Dark Itching".

I wish I could find my copy of the book.

The poem "My Dark Itching" is my nightmare version of the way Lynda Barry and people of her musical sensibility view...all constructed music.

It's some absurdly artificial precious pollysyllabic poem about athlete's foot, or something, yelled over a megaphone in a cave by some madman.

...

I had sent her a CD of a piece I had done based on her voice, and she sent me back a highly complimentary postcard. The relationship rapidly went down hill from there. A few years later, __Cruddy__ came out.

...

In other words, yes, this serialist lives in a cave with dark itching. But no, nothing of the rest of that childish portrait -- if it was that -- is accurate or just.

For one thing, construction (and its expressive consequences) is entirely different in music than in language.

This is a highly selective and misleading account of my Lynda Barry obsession.

What's interesting to me is how long it took for me to recall the more embarrassing parts of my conduct during those few years -- one does really tend to remember what one wants to!

I hadn't thought about it in years, and it took a few days to remember how nutty I got. Her treatment of me was actually overall wise and kind.

The more serious points from the pov of composers and composition stand.

(That we're talking about a type of composition that builds from rows means that we're a long way from the music that most people hear and like. There are ways around high dissonance -- it's not necessary, speaking strictly or not. But the process of composition here means dealing with artifice in some way -- overcoming it, exaggerating it, dramatizing it, hiding it, whatever. What we're not doing is recalling our favorite childhood car and telling a story about it while strumming chords on our guitar. That's cool, just different strokes.)
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Old 19th January 2018, 06:40 AM   #71
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Jejune is a new row to 4 places of uniqueness.

I keep fumbling with a good way to say that in ordinary language.

A row would be rejected if it were the same row class as something we have already (although I'm not at all sure whether I've checked for retrogrades, etc.)

I've allowed myself to be a little lax because I'm currently building a more inclusive database of the series we have so far which will show any hidden connections (or not-so-hidden connections, possibly).

What I'm sure about is that each new row is not a transposition, inversion or rotation of any other row beyond 7 places of sameness.

Code:
                                        modulus: 12
         wolf intervals (between any two notes): (13 15)
                     display multiple spellings: #f
    acceptable error when naming scales (cents): 0
                                     sort order: (length rotation wolves 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: 1
   maximum number of same consecutive intervals: 3
             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: 0
                                maximum spacing: 9
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 9
                     minimum number of 1-spaces: 0
                     maximum number of 1-spaces: 9
  minimum number of occurrences of motif in row: 0
                    wrap when computing spacing: #t
              maximum number of rows to display: 2000
               file of results to search within: /Users/calebprime/Desktop/MOFs and Searches/canon

finding rows....done

number of rows found: 20

removing near-duplicates...done

number of rows remaining: 20

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

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

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

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

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

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

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

Last edited by calebprime; 19th January 2018 at 06:42 AM.
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Old 20th January 2018, 04:37 AM   #72
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Today's series is a spicy new attraction because the complete orbit here is at the inversion, and the test for that yielded 768 other solutions! That's fecundity like an insect. Or maybe the tech is fooling me and a test for sums rather than differences isn't meaningful. That remains to be seen.

In any case, I'm pretty sure that today's series, Loose Girlfriend, is worthy of our disinterested gaze.

Code:
Loose Girlfriend

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


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

10,4,5,4,10,7,11,10,7,9,1,6

M) modulus: 12 P) permutation: 2,6,0,3,7,10,1,4,8,11,5,9 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: 3 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 3 2 1 4 5 11 10 7 6 9 8 - 12 0 0 0 3 2 1 4 5 11 10 7 8 9 6 - 12 0 0 0 3 2 1 4 6 11 10 7 5 8 9 - 12 0 0 0 3 2 1 4 6 11 10 7 9 8 5 - 12 0 0 0 3 2 1 4 8 11 10 7 5 6 9 - 12 0 0 0 3 2 1 4 8 11 10 7 9 6 5 - 12 0 0 0 3 2 1 4 9 11 10 7 6 5 8 - 12 0 0 0 3 2 1 4 9 11 10 7 8 5 6 - 12 0 0 0 3 2 1 5 4 11 9 7 6 10 8 - 12 0 0 0 3 2 1 5 4 11 9 7 8 10 6 - 12 0 0 0 3 2 1 5 6 11 9 7 4 8 10 - 12 0 0 0 3 2 1 5 6 11 9 7 10 8 4 - 12 0 0 0 3 2 1 5 8 11 9 7 4 6 10 - 12 0 0 0 3 2 1 5 8 11 9 7 10 6 4 - 12 0 0 0 3 2 1 5 10 11 9 7 6 4 8 - 12 0 0 0 3 2 1 5 10 11 9 7 8 4 6 - 12 0 0 0 3 2 1 6 4 11 8 7 5 10 9 - 12 0 0 0 3 2 1 6 4 11 8 7 9 10 5 - 12 0 0 0 3 2 1 6 5 11 8 7 4 9 10 - 12 0 0 0 3 2 1 6 5 11 8 7 10 9 4 - 12 0 0 0 3 2 1 6 9 11 8 7 4 5 10 - 12 0 0 0 3 2 1 6 9 11 8 7 10 5 4 - 12 0 0 0 3 2 1 6 10 11 8 7 5 4 9 - 12 0 0 0 3 2 1 6 10 11 8 7 9 4 5 - 12 0 0 0 3 2 1 8 4 11 6 7 5 10 9 - 12 0 0 0 3 2 1 8 4 11 6 7 9 10 5 - 12 0 0 0 3 2 1 8 5 11 6 7 4 9 10 - 12 0 0 0 3 2 1 8 5 11 6 7 10 9 4 - 12 0 0 0 3 2 1 8 9 11 6 7 4 5 10 - 12 0 0 0 3 2 1 8 9 11 6 7 10 5 4 - 12 0 0 0 3 2 1 8 10 11 6 7 5 4 9 - 12 0 0 0 3 2 1 8 10 11 6 7 9 4 5 - 12 0 0 0 3 2 1 9 4 11 5 7 6 10 8 - 12 0 0 0 3 2 1 9 4 11 5 7 8 10 6 - 12 0 0 0 3 2 1 9 6 11 5 7 4 8 10 - 12 0 0 0 3 2 1 9 6 11 5 7 10 8 4 - 12 0 0 0 3 2 1 9 8 11 5 7 4 6 10 - 12 0 0 0 3 2 1 9 8 11 5 7 10 6 4 - 12 0 0 0 3 2 1 9 10 11 5 7 6 4 8 - 12 0 0 0 3 2 1 9 10 11 5 7 8 4 6 - 12 0 0 0 3 2 1 10 5 11 4 7 6 9 8 - 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12 0 0 0 8 2 7 11 9 6 3 1 4 5 10 - 12 0 0 0 8 2 7 11 9 6 3 1 10 5 4 - 12 0 0 0 8 2 7 11 10 6 3 1 5 4 9 - 12 0 0 0 8 2 7 11 10 6 3 1 9 4 5 - 12 0 0 0 9 2 1 3 4 5 11 7 6 10 8 - 12 0 0 0 9 2 1 3 4 5 11 7 8 10 6 - 12 0 0 0 9 2 1 3 6 5 11 7 4 8 10 - 12 0 0 0 9 2 1 3 6 5 11 7 10 8 4 - 12 0 0 0 9 2 1 3 8 5 11 7 4 6 10 - 12 0 0 0 9 2 1 3 8 5 11 7 10 6 4 - 12 0 0 0 9 2 1 3 10 5 11 7 6 4 8 - 12 0 0 0 9 2 1 3 10 5 11 7 8 4 6 - 12 0 0 0 9 2 1 4 3 5 10 7 6 11 8 - 12 0 0 0 9 2 1 4 3 5 10 7 8 11 6 - 12 0 0 0 9 2 1 4 6 5 10 7 3 8 11 - 12 0 0 0 9 2 1 4 6 5 10 7 11 8 3 - 12 0 0 0 9 2 1 4 8 5 10 7 3 6 11 - 12 0 0 0 9 2 1 4 8 5 10 7 11 6 3 - 12 0 0 0 9 2 1 4 11 5 10 7 6 3 8 - 12 0 0 0 9 2 1 4 11 5 10 7 8 3 6 - 12 0 0 0 9 2 1 6 3 5 8 7 4 11 10 - 12 0 0 0 9 2 1 6 3 5 8 7 10 11 4 - 12 0 0 0 9 2 1 6 4 5 8 7 3 10 11 - 12 0 0 0 9 2 1 6 4 5 8 7 11 10 3 - 12 0 0 0 9 2 1 6 10 5 8 7 3 4 11 - 12 0 0 0 9 2 1 6 10 5 8 7 11 4 3 - 12 0 0 0 9 2 1 6 11 5 8 7 4 3 10 - 12 0 0 0 9 2 1 6 11 5 8 7 10 3 4 - 12 0 0 0 9 2 1 8 3 5 6 7 4 11 10 - 12 0 0 0 9 2 1 8 3 5 6 7 10 11 4 - 12 0 0 0 9 2 1 8 4 5 6 7 3 10 11 - 12 0 0 0 9 2 1 8 4 5 6 7 11 10 3 - 12 0 0 0 9 2 1 8 10 5 6 7 3 4 11 - 12 0 0 0 9 2 1 8 10 5 6 7 11 4 3 - 12 0 0 0 9 2 1 8 11 5 6 7 4 3 10 - 12 0 0 0 9 2 1 8 11 5 6 7 10 3 4 - 12 0 0 0 9 2 1 10 3 5 4 7 6 11 8 - 12 0 0 0 9 2 1 10 3 5 4 7 8 11 6 - 12 0 0 0 9 2 1 10 6 5 4 7 3 8 11 - 12 0 0 0 9 2 1 10 6 5 4 7 11 8 3 - 12 0 0 0 9 2 1 10 8 5 4 7 3 6 11 - 12 0 0 0 9 2 1 10 8 5 4 7 11 6 3 - 12 0 0 0 9 2 1 10 11 5 4 7 6 3 8 - 12 0 0 0 9 2 1 10 11 5 4 7 8 3 6 - 12 0 0 0 9 2 1 11 4 5 3 7 6 10 8 - 12 0 0 0 9 2 1 11 4 5 3 7 8 10 6 - 12 0 0 0 9 2 1 11 6 5 3 7 4 8 10 - 12 0 0 0 9 2 1 11 6 5 3 7 10 8 4 - 12 0 0 0 9 2 1 11 8 5 3 7 4 6 10 - 12 0 0 0 9 2 1 11 8 5 3 7 10 6 4 - 12 0 0 0 9 2 1 11 10 5 3 7 6 4 8 - 12 0 0 0 9 2 1 11 10 5 3 7 8 4 6 - 12 0 0 0 9 2 7 3 4 5 11 1 6 10 8 - 12 0 0 0 9 2 7 3 4 5 11 1 8 10 6 - 12 0 0 0 9 2 7 3 6 5 11 1 4 8 10 - 12 0 0 0 9 2 7 3 6 5 11 1 10 8 4 - 12 0 0 0 9 2 7 3 8 5 11 1 4 6 10 - 12 0 0 0 9 2 7 3 8 5 11 1 10 6 4 - 12 0 0 0 9 2 7 3 10 5 11 1 6 4 8 - 12 0 0 0 9 2 7 3 10 5 11 1 8 4 6 - 12 0 0 0 9 2 7 4 3 5 10 1 6 11 8 - 12 0 0 0 9 2 7 4 3 5 10 1 8 11 6 - 12 0 0 0 9 2 7 4 6 5 10 1 3 8 11 - 12 0 0 0 9 2 7 4 6 5 10 1 11 8 3 - 12 0 0 0 9 2 7 4 8 5 10 1 3 6 11 - 12 0 0 0 9 2 7 4 8 5 10 1 11 6 3 - 12 0 0 0 9 2 7 4 11 5 10 1 6 3 8 - 12 0 0 0 9 2 7 4 11 5 10 1 8 3 6 - 12 0 0 0 9 2 7 6 3 5 8 1 4 11 10 - 12 0 0 0 9 2 7 6 3 5 8 1 10 11 4 - 12 0 0 0 9 2 7 6 4 5 8 1 3 10 11 - 12 0 0 0 9 2 7 6 4 5 8 1 11 10 3 - 12 0 0 0 9 2 7 6 10 5 8 1 3 4 11 - 12 0 0 0 9 2 7 6 10 5 8 1 11 4 3 - 12 0 0 0 9 2 7 6 11 5 8 1 4 3 10 - 12 0 0 0 9 2 7 6 11 5 8 1 10 3 4 - 12 0 0 0 9 2 7 8 3 5 6 1 4 11 10 - 12 0 0 0 9 2 7 8 3 5 6 1 10 11 4 - 12 0 0 0 9 2 7 8 4 5 6 1 3 10 11 - 12 0 0 0 9 2 7 8 4 5 6 1 11 10 3 - 12 0 0 0 9 2 7 8 10 5 6 1 3 4 11 - 12 0 0 0 9 2 7 8 10 5 6 1 11 4 3 - 12 0 0 0 9 2 7 8 11 5 6 1 4 3 10 - 12 0 0 0 9 2 7 8 11 5 6 1 10 3 4 - 12 0 0 0 9 2 7 10 3 5 4 1 6 11 8 - 12 0 0 0 9 2 7 10 3 5 4 1 8 11 6 - 12 0 0 0 9 2 7 10 6 5 4 1 3 8 11 - 12 0 0 0 9 2 7 10 6 5 4 1 11 8 3 - 12 0 0 0 9 2 7 10 8 5 4 1 3 6 11 - 12 0 0 0 9 2 7 10 8 5 4 1 11 6 3 - 12 0 0 0 9 2 7 10 11 5 4 1 6 3 8 - 12 0 0 0 9 2 7 10 11 5 4 1 8 3 6 - 12 0 0 0 9 2 7 11 4 5 3 1 6 10 8 - 12 0 0 0 9 2 7 11 4 5 3 1 8 10 6 - 12 0 0 0 9 2 7 11 6 5 3 1 4 8 10 - 12 0 0 0 9 2 7 11 6 5 3 1 10 8 4 - 12 0 0 0 9 2 7 11 8 5 3 1 4 6 10 - 12 0 0 0 9 2 7 11 8 5 3 1 10 6 4 - 12 0 0 0 9 2 7 11 10 5 3 1 6 4 8 - 12 0 0 0 9 2 7 11 10 5 3 1 8 4 6 - 12 0 0 0 10 2 1 3 5 4 11 7 6 9 8 - 12 0 0 0 10 2 1 3 5 4 11 7 8 9 6 - 12 0 0 0 10 2 1 3 6 4 11 7 5 8 9 - 12 0 0 0 10 2 1 3 6 4 11 7 9 8 5 - 12 0 0 0 10 2 1 3 8 4 11 7 5 6 9 - 12 0 0 0 10 2 1 3 8 4 11 7 9 6 5 - 12 0 0 0 10 2 1 3 9 4 11 7 6 5 8 - 12 0 0 0 10 2 1 3 9 4 11 7 8 5 6 - 12 0 0 0 10 2 1 5 3 4 9 7 6 11 8 - 12 0 0 0 10 2 1 5 3 4 9 7 8 11 6 - 12 0 0 0 10 2 1 5 6 4 9 7 3 8 11 - 12 0 0 0 10 2 1 5 6 4 9 7 11 8 3 - 12 0 0 0 10 2 1 5 8 4 9 7 3 6 11 - 12 0 0 0 10 2 1 5 8 4 9 7 11 6 3 - 12 0 0 0 10 2 1 5 11 4 9 7 6 3 8 - 12 0 0 0 10 2 1 5 11 4 9 7 8 3 6 - 12 0 0 0 10 2 1 6 3 4 8 7 5 11 9 - 12 0 0 0 10 2 1 6 3 4 8 7 9 11 5 - 12 0 0 0 10 2 1 6 5 4 8 7 3 9 11 - 12 0 0 0 10 2 1 6 5 4 8 7 11 9 3 - 12 0 0 0 10 2 1 6 9 4 8 7 3 5 11 - 12 0 0 0 10 2 1 6 9 4 8 7 11 5 3 - 12 0 0 0 10 2 1 6 11 4 8 7 5 3 9 - 12 0 0 0 10 2 1 6 11 4 8 7 9 3 5 - 12 0 0 0 10 2 1 8 3 4 6 7 5 11 9 - 12 0 0 0 10 2 1 8 3 4 6 7 9 11 5 - 12 0 0 0 10 2 1 8 5 4 6 7 3 9 11 - 12 0 0 0 10 2 1 8 5 4 6 7 11 9 3 - 12 0 0 0 10 2 1 8 9 4 6 7 3 5 11 - 12 0 0 0 10 2 1 8 9 4 6 7 11 5 3 - 12 0 0 0 10 2 1 8 11 4 6 7 5 3 9 - 12 0 0 0 10 2 1 8 11 4 6 7 9 3 5 - 12 0 0 0 10 2 1 9 3 4 5 7 6 11 8 - 12 0 0 0 10 2 1 9 3 4 5 7 8 11 6 - 12 0 0 0 10 2 1 9 6 4 5 7 3 8 11 - 12 0 0 0 10 2 1 9 6 4 5 7 11 8 3 - 12 0 0 0 10 2 1 9 8 4 5 7 3 6 11 - 12 0 0 0 10 2 1 9 8 4 5 7 11 6 3 - 12 0 0 0 10 2 1 9 11 4 5 7 6 3 8 - 12 0 0 0 10 2 1 9 11 4 5 7 8 3 6 - 12 0 0 0 10 2 1 11 5 4 3 7 6 9 8 - 12 0 0 0 10 2 1 11 5 4 3 7 8 9 6 - 12 0 0 0 10 2 1 11 6 4 3 7 5 8 9 - 12 0 0 0 10 2 1 11 6 4 3 7 9 8 5 - 12 0 0 0 10 2 1 11 8 4 3 7 5 6 9 - 12 0 0 0 10 2 1 11 8 4 3 7 9 6 5 - 12 0 0 0 10 2 1 11 9 4 3 7 6 5 8 - 12 0 0 0 10 2 1 11 9 4 3 7 8 5 6 - 12 0 0 0 10 2 7 3 5 4 11 1 6 9 8 - 12 0 0 0 10 2 7 3 5 4 11 1 8 9 6 - 12 0 0 0 10 2 7 3 6 4 11 1 5 8 9 - 12 0 0 0 10 2 7 3 6 4 11 1 9 8 5 - 12 0 0 0 10 2 7 3 8 4 11 1 5 6 9 - 12 0 0 0 10 2 7 3 8 4 11 1 9 6 5 - 12 0 0 0 10 2 7 3 9 4 11 1 6 5 8 - 12 0 0 0 10 2 7 3 9 4 11 1 8 5 6 - 12 0 0 0 10 2 7 5 3 4 9 1 6 11 8 - 12 0 0 0 10 2 7 5 3 4 9 1 8 11 6 - 12 0 0 0 10 2 7 5 6 4 9 1 3 8 11 - 12 0 0 0 10 2 7 5 6 4 9 1 11 8 3 - 12 0 0 0 10 2 7 5 8 4 9 1 3 6 11 - 12 0 0 0 10 2 7 5 8 4 9 1 11 6 3 - 12 0 0 0 10 2 7 5 11 4 9 1 6 3 8 - 12 0 0 0 10 2 7 5 11 4 9 1 8 3 6 - 12 0 0 0 10 2 7 6 3 4 8 1 5 11 9 - 12 0 0 0 10 2 7 6 3 4 8 1 9 11 5 - 12 0 0 0 10 2 7 6 5 4 8 1 3 9 11 - 12 0 0 0 10 2 7 6 5 4 8 1 11 9 3 - 12 0 0 0 10 2 7 6 9 4 8 1 3 5 11 - 12 0 0 0 10 2 7 6 9 4 8 1 11 5 3 - 12 0 0 0 10 2 7 6 11 4 8 1 5 3 9 - 12 0 0 0 10 2 7 6 11 4 8 1 9 3 5 - 12 0 0 0 10 2 7 8 3 4 6 1 5 11 9 - 12 0 0 0 10 2 7 8 3 4 6 1 9 11 5 - 12 0 0 0 10 2 7 8 5 4 6 1 3 9 11 - 12 0 0 0 10 2 7 8 5 4 6 1 11 9 3 - 12 0 0 0 10 2 7 8 9 4 6 1 3 5 11 - 12 0 0 0 10 2 7 8 9 4 6 1 11 5 3 - 12 0 0 0 10 2 7 8 11 4 6 1 5 3 9 - 12 0 0 0 10 2 7 8 11 4 6 1 9 3 5 - 12 0 0 0 10 2 7 9 3 4 5 1 6 11 8 - 12 0 0 0 10 2 7 9 3 4 5 1 8 11 6 - 12 0 0 0 10 2 7 9 6 4 5 1 3 8 11 - 12 0 0 0 10 2 7 9 6 4 5 1 11 8 3 - 12 0 0 0 10 2 7 9 8 4 5 1 3 6 11 - 12 0 0 0 10 2 7 9 8 4 5 1 11 6 3 - 12 0 0 0 10 2 7 9 11 4 5 1 6 3 8 - 12 0 0 0 10 2 7 9 11 4 5 1 8 3 6 - 12 0 0 0 10 2 7 11 5 4 3 1 6 9 8 - 12 0 0 0 10 2 7 11 5 4 3 1 8 9 6 - 12 0 0 0 10 2 7 11 6 4 3 1 5 8 9 - 12 0 0 0 10 2 7 11 6 4 3 1 9 8 5 - 12 0 0 0 10 2 7 11 8 4 3 1 5 6 9 - 12 0 0 0 10 2 7 11 8 4 3 1 9 6 5 - 12 0 0 0 10 2 7 11 9 4 3 1 6 5 8 - 12 0 0 0 10 2 7 11 9 4 3 1 8 5 6 - 12 0 0 0 11 2 1 4 5 3 10 7 6 9 8 - 12 0 0 0 11 2 1 4 5 3 10 7 8 9 6 - 12 0 0 0 11 2 1 4 6 3 10 7 5 8 9 - 12 0 0 0 11 2 1 4 6 3 10 7 9 8 5 - 12 0 0 0 11 2 1 4 8 3 10 7 5 6 9 - 12 0 0 0 11 2 1 4 8 3 10 7 9 6 5 - 12 0 0 0 11 2 1 4 9 3 10 7 6 5 8 - 12 0 0 0 11 2 1 4 9 3 10 7 8 5 6 - 12 0 0 0 11 2 1 5 4 3 9 7 6 10 8 - 12 0 0 0 11 2 1 5 4 3 9 7 8 10 6 - 12 0 0 0 11 2 1 5 6 3 9 7 4 8 10 - 12 0 0 0 11 2 1 5 6 3 9 7 10 8 4 - 12 0 0 0 11 2 1 5 8 3 9 7 4 6 10 - 12 0 0 0 11 2 1 5 8 3 9 7 10 6 4 - 12 0 0 0 11 2 1 5 10 3 9 7 6 4 8 - 12 0 0 0 11 2 1 5 10 3 9 7 8 4 6 - 12 0 0 0 11 2 1 6 4 3 8 7 5 10 9 - 12 0 0 0 11 2 1 6 4 3 8 7 9 10 5 - 12 0 0 0 11 2 1 6 5 3 8 7 4 9 10 - 12 0 0 0 11 2 1 6 5 3 8 7 10 9 4 - 12 0 0 0 11 2 1 6 9 3 8 7 4 5 10 - 12 0 0 0 11 2 1 6 9 3 8 7 10 5 4 - 12 0 0 0 11 2 1 6 10 3 8 7 5 4 9 - 12 0 0 0 11 2 1 6 10 3 8 7 9 4 5 - 12 0 0 0 11 2 1 8 4 3 6 7 5 10 9 - 12 0 0 0 11 2 1 8 4 3 6 7 9 10 5 - 12 0 0 0 11 2 1 8 5 3 6 7 4 9 10 - 12 0 0 0 11 2 1 8 5 3 6 7 10 9 4 - 12 0 0 0 11 2 1 8 9 3 6 7 4 5 10 - 12 0 0 0 11 2 1 8 9 3 6 7 10 5 4 - 12 0 0 0 11 2 1 8 10 3 6 7 5 4 9 - 12 0 0 0 11 2 1 8 10 3 6 7 9 4 5 - 12 0 0 0 11 2 1 9 4 3 5 7 6 10 8 - 12 0 0 0 11 2 1 9 4 3 5 7 8 10 6 - 12 0 0 0 11 2 1 9 6 3 5 7 4 8 10 - 12 0 0 0 11 2 1 9 6 3 5 7 10 8 4 - 12 0 0 0 11 2 1 9 8 3 5 7 4 6 10 - 12 0 0 0 11 2 1 9 8 3 5 7 10 6 4 - 12 0 0 0 11 2 1 9 10 3 5 7 6 4 8 - 12 0 0 0 11 2 1 9 10 3 5 7 8 4 6 - 12 0 0 0 11 2 1 10 5 3 4 7 6 9 8 - 12 0 0 0 11 2 1 10 5 3 4 7 8 9 6 - 12 0 0 0 11 2 1 10 6 3 4 7 5 8 9 - 12 0 0 0 11 2 1 10 6 3 4 7 9 8 5 - 12 0 0 0 11 2 1 10 8 3 4 7 5 6 9 - 12 0 0 0 11 2 1 10 8 3 4 7 9 6 5 - 12 0 0 0 11 2 1 10 9 3 4 7 6 5 8 - 12 0 0 0 11 2 1 10 9 3 4 7 8 5 6 - 12 0 0 0 11 2 7 4 5 3 10 1 6 9 8 - 12 0 0 0 11 2 7 4 5 3 10 1 8 9 6 - 12 0 0 0 11 2 7 4 6 3 10 1 5 8 9 - 12 0 0 0 11 2 7 4 6 3 10 1 9 8 5 - 12 0 0 0 11 2 7 4 8 3 10 1 5 6 9 - 12 0 0 0 11 2 7 4 8 3 10 1 9 6 5 - 12 0 0 0 11 2 7 4 9 3 10 1 6 5 8 - 12 0 0 0 11 2 7 4 9 3 10 1 8 5 6 - 12 0 0 0 11 2 7 5 4 3 9 1 6 10 8 - 12 0 0 0 11 2 7 5 4 3 9 1 8 10 6 - 12 0 0 0 11 2 7 5 6 3 9 1 4 8 10 - 12 0 0 0 11 2 7 5 6 3 9 1 10 8 4 - 12 0 0 0 11 2 7 5 8 3 9 1 4 6 10 - 12 0 0 0 11 2 7 5 8 3 9 1 10 6 4 - 12 0 0 0 11 2 7 5 10 3 9 1 6 4 8 - 12 0 0 0 11 2 7 5 10 3 9 1 8 4 6 - 12 0 0 0 11 2 7 6 4 3 8 1 5 10 9 - 12 0 0 0 11 2 7 6 4 3 8 1 9 10 5 - 12 0 0 0 11 2 7 6 5 3 8 1 4 9 10 - 12 0 0 0 11 2 7 6 5 3 8 1 10 9 4 - 12 0 0 0 11 2 7 6 9 3 8 1 4 5 10 - 12 0 0 0 11 2 7 6 9 3 8 1 10 5 4 - 12 0 0 0 11 2 7 6 10 3 8 1 5 4 9 - 12 0 0 0 11 2 7 6 10 3 8 1 9 4 5 - 12 0 0 0 11 2 7 8 4 3 6 1 5 10 9 - 12 0 0 0 11 2 7 8 4 3 6 1 9 10 5 - 12 0 0 0 11 2 7 8 5 3 6 1 4 9 10 - 12 0 0 0 11 2 7 8 5 3 6 1 10 9 4 - 12 0 0 0 11 2 7 8 9 3 6 1 4 5 10 - 12 0 0 0 11 2 7 8 9 3 6 1 10 5 4 - 12 0 0 0 11 2 7 8 10 3 6 1 5 4 9 - 12 0 0 0 11 2 7 8 10 3 6 1 9 4 5 - 12 0 0 0 11 2 7 9 4 3 5 1 6 10 8 - 12 0 0 0 11 2 7 9 4 3 5 1 8 10 6 - 12 0 0 0 11 2 7 9 6 3 5 1 4 8 10 - 12 0 0 0 11 2 7 9 6 3 5 1 10 8 4 - 12 0 0 0 11 2 7 9 8 3 5 1 4 6 10 - 12 0 0 0 11 2 7 9 8 3 5 1 10 6 4 - 12 0 0 0 11 2 7 9 10 3 5 1 6 4 8 - 12 0 0 0 11 2 7 9 10 3 5 1 8 4 6 - 12 0 0 0 11 2 7 10 5 3 4 1 6 9 8 - 12 0 0 0 11 2 7 10 5 3 4 1 8 9 6 - 12 0 0 0 11 2 7 10 6 3 4 1 5 8 9 - 12 0 0 0 11 2 7 10 6 3 4 1 9 8 5 - 12 0 0 0 11 2 7 10 8 3 4 1 5 6 9 - 12 0 0 0 11 2 7 10 8 3 4 1 9 6 5 - 12 0 0 0 11 2 7 10 9 3 4 1 6 5 8 - 12 0 0 0 11 2 7 10 9 3 4 1 8 5 6 - 12 0 0 found 768 solutions.
G, F, A, D, F#, E, B, Bb, Ab, Eb, C, Db F, D, E, Bb, Eb, Db, G, A, F#, B, Ab, C D, Bb, Db, A, B, C, F, E, Eb, G, F#, Ab Bb, A, C, E, G, Ab, D, Db, B, F, Eb, F# A, E, Ab, Db, F, F#, Bb, C, G, D, B, Eb E, Db, F#, C, D, Eb, A, Ab, F, Bb, G, B 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 10,9,8,11,7,9,11,8,10,9,8,8 p/0/0:...............G F A D F# E B Bb Ab Eb C C# r/7/1:...............G Bb Eb F F# B C# A E C D Ab .....................g........f...........a........d........ .................................f#..........e.............. ....................................b....................... ........................bb............................ab.... ...........................eb...................c........... .......................................c#................... 3 2 1 0 11 10 9 8 7 6 5 4 r/5/8:...............G D Bb C| F# F Ab C# Eb E A B .....................g..............f..............a...... ........................d........f#.............e.....b... ...........................bb..........ab....eb........... ..............................c...........c#.............. 3,10,5,2,11,6,4,1,9,7,0,8 2 3 4 5 6 7 8 9 10 11 0 1 i/2/2:...............G D Bb C F F# Ab C# E Eb A B .....................g...........f.................a...... ........................d...........f#.......e........b... ...........................bb..........ab.......eb........ ..............................c...........c#.............. 2,6,0,3,7,10,1,4,8,11,5,9, i/4/6:...............G Ab Bb Eb F# F B C# A E C D ri/9/6:..............G F A D F# E Bb B Ab Eb C# C ========================================

Last edited by calebprime; 20th January 2018 at 04:41 AM.
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Old 20th January 2018, 08:07 AM   #73
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Originally Posted by calebprime View Post
Today's series is a spicy new attraction because the complete orbit here is at the inversion, and the test for that yielded 768 other solutions! ...
I tested one, the very first. It seemed to work.

Code:
i/2/2:...............C  C# Bb A  Eb E  G  Ab F  F# D  B  
.....................c...........eb................d.......
........................c#..........e........f........b....
...........................bb..........g........f#.........
..............................a...........ab.
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Old 20th January 2018, 12:04 PM   #74
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Loose Girlfriend is unique to 4 places.

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: 1
   maximum number of same consecutive intervals: 9
             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: 1
     look for standard transformations of motif: #t
           look for 5m transformations of motif: #f
                                minimum spacing: 1
                                maximum spacing: 9
minimum number of violations of min/max spacing: 0
maximum number of violations of min/max spacing: 9
                     minimum number of 1-spaces: 0
                     maximum number of 1-spaces: 9
  minimum number of occurrences of motif in row: 0
                    wrap when computing spacing: #t
              maximum number of rows to display: 2000
               file of results to search within: /Users/calebmorgan/Desktop/MOFs and Searches/canon

finding rows....done

number of rows found: 21

removing near-duplicates...done

number of rows remaining: 21

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

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

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

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

(0 9 1 6 11 10 5 3 2 8 4 7)  (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)
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Old 20th January 2018, 12:14 PM   #75
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another of the huge permutation family seems to test ok --

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


i/2/2:...............C  C# Ab Eb F  F# G  E  B  Bb D  A  
.....................c...........f.................d.......
........................c#..........f#.......b........a....
...........................ab..........g........bb.........
..............................eb..........e................
0 5 2 1 6 11 9 8 7 10 3 4 - 12 0 0
I should collect this output, convert the format, and test it in Microtonal Scales to see how many of these rows are unique.

Last edited by calebprime; 20th January 2018 at 12:15 PM.
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Old 21st January 2018, 03:08 AM   #76
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Originally Posted by calebprime View Post
another of the huge permutation family seems to test ok --

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


i/2/2:...............C  C# Ab Eb F  F# G  E  B  Bb D  A  
.....................c...........f.................d.......
........................c#..........f#.......b........a....
...........................ab..........g........bb.........
..............................eb..........e................
0 5 2 1 6 11 9 8 7 10 3 4 - 12 0 0
I should collect this output, convert the format, and test it in Microtonal Scales to see how many of these rows are unique.
Done.

They were mostly unique -- no disappointment there. Many were similar to 8 places, so with all reasonable filtering in place, it's easy to boil them down to 48 best-of forms.

Why there is a huge group here is a complete mystery to me.

I never have any idea in advance, except that self-sim at 1 or 5 usually produces small groups or simply "groups" with that 1 solution. That is, no group.


Code:
number of rows found: 345

removing near-duplicates...done

number of rows remaining: 48

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(0 11 2 1 5 6 3 9 7 10 8 4)  (0 11 2 1 8 10 3 6 7 9 4 5)  (0 11 2 7 8 5 3 6 1 10 9 4)
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Old 21st January 2018, 05:39 AM   #77
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Today's dual-property self-similar row of the day...

Doofus


I'd bet that the huge group it's finding is the same as before, so I won't print it unless I find out it's unique.

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



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

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

DOOFUS

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

4,5,2,3,4,1,8,7,7,3,5,11 triads





r/11/5:..............A  D  C# F  Bb C  Ab Eb B  E  F# G  
.....................a.....c#................b.....f#.....
........................d.................eb..............
.................................bb....ab.............g...
..............................f.....c...........e.........




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

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

found 768 solutions.
The usual tests for the uniqueness of Doofus in the collection will be posted.
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Old 22nd January 2018, 01:52 AM   #78
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Doofus has been banned for having too close a resemblance (9 places) to another authorized series in this collection, and, well, being a doofus.

Last edited by calebprime; 22nd January 2018 at 01:53 AM.
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Old 22nd January 2018, 02:02 AM   #79
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FlyTown


True to its name, FlyTown has another perm group of 768 solutions.

Code:

FlyTown

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

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


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





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







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

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

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

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


M) modulus: 12
P) permutation: 3,6,10,1,5,9,2,4,7,8,11,0
C) center interval of self-similarity: 5
O) minimum number of occurrences of center: 10
D) maximum deviation from center: 12
S) maximum sum of all deviations: 24
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: 3000
W) wrap: on

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

enter choice: 1
working...
0 10 8 5 1 6 3 9 4 11 2 7 - 10 1 2
0 10 8 5 2 6 3 9 4 11 1 7 - 10 1 2
0 10 8 5 2 7 3 9 4 11 1 6 - 10 1 2
0 10 8 5 4 9 3 11 6 1 2 7 - 10 1 2
0 10 8 5 4 9 3 11 6 2 1 7 - 10 1 2
0 10 8 5 4 9 3 11 7 2 1 6 - 10 1 2
0 10 8 5 6 11 3 1 9 4 2 7 - 10 1 2
0 10 8 5 6 11 3 2 9 4 1 7 - 10 1 2
0 10 8 5 7 11 3 2 9 4 1 6 - 10 1 2
0 10 8 5 9 1 3 4 11 6 2 7 - 10 1 2
0 10 8 5 9 2 3 4 11 6 1 7 - 10 1 2
0 10 8 5 9 2 3 4 11 7 1 6 - 10 1 2
0 10 8 5 11 4 3 6 1 9 2 7 - 10 1 2
0 10 8 5 11 4 3 6 2 9 1 7 - 10 1 2
0 10 8 5 11 4 3 7 2 9 1 6 - 10 1 2
0 10 9 5 1 6 3 8 4 11 2 7 - 10 1 2
0 10 9 5 1 6 4 8 3 11 2 7 - 10 1 2
0 10 9 5 3 8 4 11 6 1 2 7 - 10 1 2
0 10 9 5 4 8 3 11 6 1 2 7 - 10 1 2
0 10 9 5 6 11 3 1 8 4 2 7 - 10 1 2
0 10 9 5 6 11 4 1 8 3 2 7 - 10 1 2
0 10 9 5 8 1 3 4 11 6 2 7 - 10 1 2
0 10 9 5 8 1 4 3 11 6 2 7 - 10 1 2
0 10 9 5 11 3 4 6 1 8 2 7 - 10 1 2
0 10 9 5 11 4 3 6 1 8 2 7 - 10 1 2
0 11 9 5 1 6 4 8 3 10 2 7 - 10 1 2
0 11 9 5 3 8 4 10 6 1 2 7 - 10 1 2
0 11 9 5 6 10 4 1 8 3 2 7 - 10 1 2
0 11 9 5 8 1 4 3 10 6 2 7 - 10 1 2
0 11 9 5 10 3 4 6 1 8 2 7 - 10 1 2
0 11 9 6 1 5 4 8 3 10 2 7 - 10 1 2
0 11 9 6 3 8 4 10 5 1 2 7 - 10 1 2
0 11 9 6 5 10 4 1 8 3 2 7 - 10 1 2
0 11 9 6 8 1 4 3 10 5 2 7 - 10 1 2
0 11 9 6 10 3 4 5 1 8 2 7 - 10 1 2
found 35 solutions.



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


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


8,9,2,6,10,11,3,7,0,1,4,5
found 768 solutions.

Last edited by calebprime; 22nd January 2018 at 03:26 AM.
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Old 22nd January 2018, 02:12 AM   #80
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FlyTown is distinct.

Code:
                               sort order: (packing)
             abbreviated multiple-column output: #t
                                  output format: numbers
                       number of output columns: 3
 
             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: 1
     look for standard transformations of motif: #t
           look for 5m transformations of motif: #f
   

finding rows....done

number of rows found: 22

removing near-duplicates...done

number of rows remaining: 22

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

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

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

(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 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)  (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)

Last edited by calebprime; 22nd January 2018 at 02:15 AM.
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