User:Astaryuu/15edo Notes: Difference between revisions
Created page with "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 expe..." |
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24 equal divisions of the [[3/1|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. | 24 equal divisions of the [[3/1|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. | ||
= | =Notes= | ||
[[/Scales and modes]] | * On Notation (you're here!) | ||
[[/Notes and chords]] | * [[/Scales and modes]] | ||
* [[/Notes and chords]] | |||
===On notation=== | |||
Honestly, I'm too 12edo-pilled to consider sharps and flats not being the same to not break my brain, which is what the traditional spelling implies. So, here is my new notation, based on porcupine[8]: | |||
{| class="wikitable" | |||
|- | |||
! Degree | |||
! Astaryuu notation | |||
|- | |||
| 0 || α / θ# | |||
|- | |||
| 1 || α# / βb | |||
|- | |||
| 2 || β | |||
|- | |||
| 3 || β# / γb | |||
|- | |||
| 4 || γ | |||
|- | |||
| 5 || γ# / δb | |||
|- | |||
| 6 || δ | |||
|- | |||
| 7 || δ# / εb | |||
|- | |||
| 8 || ε | |||
|- | |||
| 9 || ε# / ζb | |||
|- | |||
| 10 || ζ | |||
|- | |||
| 11 || ζ# / ηb | |||
|- | |||
| 12 || η | |||
|- | |||
| 13 || η# / θb | |||
|- | |||
| 14 || θ | |||
|} | |||