3 gap theorem
Added 2024-01-21 18:57:13 +0000 UTCToday 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
