| Things get more interesting when we explore musical tunings other than the 12 equal divisions of the octave (EDO) of Western music. 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: LLsLLLs with L: 2 s: 1 (12=2+2+1+2+2+2+1)
A 6 note scale (Gorgo-6) in 16 EDO is: LLsLLL with L: 3 s: 1 (16=3+3+1+3+3+3)
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 |