I'm pretty happy with this tuning as an incremental improvement over the old one. It's a little stronger in the 3/2's. Just wanted to document it, make a record.
It's basically 36 pitches of JI, but quantized to 130EDO.
There's a useful little page on 130EDO here:
https://xenharmonic.wikispaces.com/130edo
The 3/2 of 130EDO is less sharp (wide) than in 87 EDO.
I tried chopping the EDO down by two to 65EDO and sacrificing some accuracy, but I wasn't happy after trying it out.
The way this is better than my previous scale is that certain pitches are slightly adjusted to make the "5ths" more accurate or available in all "modes". So now, to get a really accurate overtone series on /7, I have to "modulate" or pitch-bend. However, for my next piece, this scale/tuning will be slighter better.
In terms of practicality, 130EDO is no harder than 87EDO.
I can kinda shred with this scale because it's so similar to the one I practiced all those years. That fact completely outweighs the formal hairiness of the scale -- the asymmetry and unequal step-sizes.
Steps of 130 EDO relative: 10, 2, 3, 3, 2, 2, 3, 4, 3, 2, 4, 4, 2, 3, 7, 4, 2, 4, 2, 4, 2, 4, 7, 3, 2, 4, 4, 2, 3, 4, 3, 2, 2, 2, 4, 12
Steps of 130EDO absolute: 0, 10, 12, 15, 18, 20, 22, 25, 29, 32, 34, 38, 42, 44, 47, 54, 58, 60, 64, 66, 70, 72, 76, 83, 86, 88, 92, 96, 98, 101, 105, 108, 110, 112, 114, 118, 130
Cents difference: 92.308, 18.461, 27.693, 27.692, 18.461, 18.462, 27.692, 36.923, 27.693, 18.461, 36.923, 36.923, 18.462, 27.692, 64.616, 36.923, 18.461, 36.923, 18.462, 36.923, 18.461, 36.923, 64.616, 27.692, 18.462, 36.923, 36.923, 18.461, 27.693, 36.923, 27.692, 18.462, 18.461, 18.462, 36.923, 110.769
Cents from 1/1:0., 92.308, 110.769, 138.462, 166.154, 184.615, 203.077, 230.769, 267.692, 295.385, 313.846, 350.769, 387.692, 406.154, 433.846, 498.462, 535.385, 553.846, 590.769, 609.231, 646.154, 664.615, 701.538, 766.154, 793.846, 812.308, 849.231, 886.154, 904.615, 932.308, 969.231, 996.923, 1015.385, 1033.846, 1052.308, 1089.231
Scala File:
!
new 36 fix JI 130
36
!
92.30800
110.76900
138.46200
166.15400
184.61500
203.07700
230.76900
267.69200
295.38500
313.84600
350.76900
387.69200
406.15400
433.84600
498.46200
535.38500
553.84600
590.76900
609.23100
646.15400
664.61500
701.53800
766.15400
793.84600
812.30800
849.23100
886.15400
904.61500
932.30800
969.23100
996.92300
1015.38500
1033.84600
1052.30800
1089.23100
1200.00000