User:PiotrGrochowski/User:PiotrGrochowski

Nice edos to start with are 7edo, 9edo, 10edo, 12edo, 15edo, 17edo, 19edo, 22edo, 26edo, 29edo, 31edo, 34edo, 41edo, 43edo, 46edo, 48edo, 50edo, 53edo, 55edo and 60edo. They offer nice approximations to some of the intervals.

Meantone: 7edo, 12edo, 19edo, 26edo, 31edo, 43edo, 50edo, 55edo. These allow unambiguous notation and have a generally familiar diatonic scale, except for 7edo which is slightly out of tune.

Superpyth: 10edo, 15edo, 17edo, 22edo. These edos are worthy of mention avoiding the 81/80 comma instead sharpening the fifth to temper out the 64/63 comma. The diatonic scale will sound out of tune, and it's harder to notate, but the xenharmonic musical possibilities may help.

Schismic: 12edo, 17edo, 29edo, 41edo, 53edo. These edos go eight fifths down to get the 5/4 ratio, which potentially allows greater accuracy in both 3/2 and 5/4 than meantone, as 53edo shows.

Modified 12edo: 48edo, 60edo. These offer the intervals of 12edo, while also offering more accurate 5 and 7, detaching from meantone and schismic instead into different temperaments.

9edo is a macrotonal edo that accurately represents 7/6.

34edo is notable for its 5–limit accuracy.

46edo is notable for its 13–simit accuracy.