3 gap theorem (Patreon)

Today I drew these diagrams to illustrate the "3 gap theorem", which applies to the intervals we find in generated scales -- When a scale has a generator, why there can only be 3 interval sizes. This applies banally to 12-TET tones, but it's far more interesting when applied to microtonal generators. That's what Erv Wilson's "moments of symmetry" are all about... that's a deep rabbit hole...

anaphoria.com/wilsonintroMOS.html

Anyways, I like how these diagrams turned out so I thought I'd share.

Cheers
Ian