Lattice: Otonal fan coordinates

[frostburn]

ping for EDO reccs (26 to 140) — 10/23/2024 3:43 AM

i have a fairly simple feature request: some way of visualising JI scales where all the prime directions are upwards

i dont like not being able to tell if the direction is harmonic or subharmonic, and based on my previous experimentation scales shown this way look both a lot prettier and a lot more readable imo.

it's basically a mathematical convention to not show high-dimensional space with axes in a half-plane for a reason
theres various ways this could be implemented; a particularly elegant seeming option is the cent value from 0c to 1200c being converted to 0 degrees to 180 degrees, and the length being the reciprocal of the tenney height

See discord thread for further discussion and tweaks to the coords.

[osmiumic]

*to show high-dimensional space with axes in a half-plane
(sorry, painful typo where "not" inverted the intended meaning of the sentence; ive edited it in the original message too)