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openrightsgroup.org1 pointsby delineator3 comments
LLsLLLs with L: 2 s: 1 (12=2+2+1+2+2+2+1)
A 19 EDO, 7 note scale: LLsLLLs with L: 3 s: 2 (19=3+3+2+3+3+3+2)
And here's a 19 EDO scale with 9 notes (Godzilla-9): LLsLsLsLsLs with L: 3 s: 1 (19=3+3+1+3+1+3+1+3+1)
You can then explore frequency ratios beyond those available in 12 EDO: https://github.com/robmckinnon/pitfalls/blob/main/lib/ratios...
You can define interval structure as a sequence of large L, small s, and optionally medium M steps.
For example, the Major diatonic scale, a 7 note scale from 12 EDO, in Ls notation is:
A 6 note scale (Gorgo-6) in 16 EDO is:
You can then explore frequency ratios beyond those available in 12 EDO, see this Lua file: https://github.com/robmckinnon/pitfalls/blob/main/lib/ratios...
E.g. the Gorgo-6 scale has the intervals S2 (septimal major second), d4 (Barbados third), N4 (undevicesimal wide fourth), s6 (septimal sixth), s7 (septimal minor seventh).
And chords based on those ratios, see Lua file: https://github.com/robmckinnon/pitfalls/blob/main/lib/chords...
The above links are Lua code files for a monome norns library for exploring microtonal tuning: https://llllllll.co/t/pitfalls/37795