Chiel
58
That’s an interesting question. In the latest version of the Arithmophone, I focused solely on just intonation, so I haven’t really thought about 31 EDO for a long time. I just had another look at the design I made earlier, and I don’t think it works all that well. The 4 by 8 grid I used is optimal in the sense that there is no redundancy, but it only really works well from 1 tonal center and forces many inconsistent pitch jumps. These things make some sense for just intonation but not really for EDO tunings. I do still like the fact that I used a symmetrical Dorian scale as the center of the keyboard, but the surrounding layout is not very practical. I think a better way would be to use a 5 by 7 grid with diatonic scales moving from left to right and single EDO steps moving up/down. That way you need 35 keys per octave because a few notes are repeated, so there is some redundancy, but only a little, and the patterns would be much more consistent across keys. I may play around with this idea a bit and see if I can code something up, I’ll keep you posted!
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