User:Astaryuu/15edo Notes
I've been tooling around with 15edo (and related temperaments like valentine and 24edt). Here are my notes on the subject.
This page essentially serves as a harmonization of the other 15edo guides on the wiki, but with plenty of my own details. First, though, a note on what I mean by temperaments related to 15edo.
15edo-like temperaments
As established by other wiki members, the valentine temperament and 24edt are alternatives to 15edo. In my experience, using either is a suitable alternative to 15edo, depending on your purposes.
Valentine
Valentine is a scale which uses 21/20 or a similar-sized semitone as its generator. It is best understood as 15edo with a compressed octave at scale degree 15. It misses the octave by less than a diesis, so many won't be able to tell you aren't using a complete octave. Still, the rational pitches of 15edo make it easier to program, as it does not miss the octave.
24edt
24 equal divisions of the tritave (an octave plus a perfect fifth) gets you an even closer approximation of both valentine and 12edo than 15edo does. Its octave equivalent, 15\24edt, is slightly flat of 2/1. I've seen people comment that 24edt sounds better than 15edo, and the fact that 24edt tones better approximate 12edo is probably why. I personally like to use a variation on 24edt that cuts off at the octave, forcing it to be octave-equivalent rather than tritave-equivalent. At this point it's effectively 15edo tuned a little flat, but that's fine by me.