[delineator]

Things get more fun 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 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...

And chords based on those ratios: 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