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Comment by 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

parent delineator 5 years ago

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