User:TromboneBoi9/EDO Impressions

5edo: Extremely simple, barely cares about diatonic structure, barely cares about approximating any harmonic besides the seventh, and yet cannot sound bad. True gigachad.

7edo: Very dry 5edo wannabe; doesn't approximate any other useful harmonic better than it does 3/2. Perhaps useful for mixing diatonic structures with maqamic flavors, but not much else.

8edo: Interesting 24edo subset, although better treated freely, with intervals and chords chosen by ear, since it doesn't systemize in any useful way. Useful, but strictly experimental.

9edo: Interesting 36edo subset which is best treated freely like 8edo. Can be vaguely systemized since it fits antidiatonic structure, which produces very enigmatic scales.

10edo: Could be treated as doubled-up 5edo, except it has some tricks up its sleeves to separate it from 5edo, including a nice 13/8, a perfect half-octave, and a half-assed 5/4.

11edo: "Phases out" from 12edo, which produces seconds and sevenths close to 12edo and quartertonal intervals in the fourth-fifth range; for instance, a reasonable 9/8 and a great 11/8. Very interesting system when taken seriously. Technically a 22edo subset, but not particularly useful as such. Also fits antidiatonic structure, producing very useful blues-like scales.

12edo: Usually given flack for its approximation of 5/4, but if it works fine in 15edo, it works here too. Along with it's stellar 3/2, it proves itself well for Western hegemony. A very composite number, so interesting symmetries inevitably come up.

13edo: Alike to 11edo, but without antidiatonicism and a 10/9 rather than a 9/8. Sometimes treated as a 26edo subset. Notoriously awkward to notate: best notated as either a 26edo subset or with an archaeotonic (6L1s) nominal system (E-F becomes a whole step).

14edo: Grown-up, half-decent 7edo, although it really only features supermajor, neutral, and subminor intervals and no minor or major. The smallest to feature a distinguishable syntonic comma, although it's negative.

15edo: A very versatile system. A superset of 5edo, along with a usable 5/4. 12edo from an alternate universe. The smallest system to feature a positive syntonic comma.

17edo: A version of 15edo that can't stand on its feet. Only approximates the 3/2 well, completely ignores 5/4, and yet fits diatonic structure reasonably.

19edo: Audibly identical to 1/3-comma meantone. Quite competent prime harmonic approximations, even beyond the 13th. A very nice system for the beginner in xenharmony.