User:Astaryuu/15edo Notes: Difference between revisions

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===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.

Valentine is a scale which uses [[22/21]] or a similar-sized semitone as its generator; it's better described as splitting a [[3/2]] into nine parts, though it's very slightly compressed compared to an actual 3/2. Tuning its semitone closer to [[25/24]] is best understood as 15edo with a compressed octave at scale degree 15, while if you use one closer to [[21/20]] it ends up being a stretched octave instead. 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===

[[File:12edo vs 15edo vs 24edt.jpg|thumb|Comparison of the scales. The redder the note, the closer it is to ~~12edo~~.]]

[[File:12edo vs 15edo vs 24edt.jpg|thumb|Comparison of the scales. The redder the note, the closer it is to [[Meantone|meaneb421]].]]

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.

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 ===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.
+Valentine is a scale which uses [[22/21]] or a similar-sized semitone as its generator; it's better described as splitting a [[3/2]] into nine parts, though it's very slightly compressed compared to an actual 3/2. Tuning its semitone closer to [[25/24]] is best understood as 15edo with a compressed octave at scale degree 15, while if you use one closer to [[21/20]] it ends up being a stretched octave instead. 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===
-[[File:12edo vs 15edo vs 24edt.jpg|thumb|Comparison of the scales. The redder the note, the closer it is to 12edo.]]
+[[File:12edo vs 15edo vs 24edt.jpg|thumb|Comparison of the scales. The redder the note, the closer it is to [[Meantone|meaneb421]].]]
 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.