User:Astaryuu/15edo Notes - Revision history

Astaryuu: /* Valentine */

2026-08-27T19:35:16Z

Valentine

← Older revision		Revision as of 19:35, 27 August 2026
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	===Valentine===		===Valentine===
	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. 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.		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===		===24edt===

Astaryuu: /* Valentine */

2026-08-27T19:34:35Z

Valentine

← Older revision		Revision as of 19:34, 27 August 2026
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	===Valentine===		===Valentine===
	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. Tuning it 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.		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. 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===		===24edt===

Astaryuu: /* Valentine */

2026-08-27T19:33:14Z

Valentine

← Older revision		Revision as of 19:33, 27 August 2026
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	===Valentine===		===Valentine===
	Valentine is a scale which uses [[22/21]] or a similar-sized semitone as its generator. Tuning it 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.		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. Tuning it 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===		===24edt===

Astaryuu: /* Valentine */

2026-08-27T19:31:15Z

Valentine

← Older revision		Revision as of 19:31, 27 August 2026
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	===Valentine===		===Valentine===
	Valentine is a scale which uses [[22/21]] or a similar-sized semitone as its generator. Tuning it 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.		Valentine is a scale which uses [[22/21]] or a similar-sized semitone as its generator. Tuning it 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===		===24edt===

Astaryuu: /* 15edo-like temperaments */

2026-08-27T19:31:00Z

15edo-like temperaments

← Older revision		Revision as of 19:31, 27 August 2026
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	===Valentine===		===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. Tuning it 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===		===24edt===

Astaryuu: /* 24edt */

2025-10-19T08:00:49Z

24edt

← Older revision		Revision as of 08:00, 19 October 2025
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	===24edt===		===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.		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.

Lériendil: formatting

2025-07-11T22:57:12Z

formatting

← Older revision		Revision as of 22:57, 11 July 2025
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	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.		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=		==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.		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.

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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=		==Notes==
	* On Notation (you're here!)		* On Notation (you're here!)
	* [[/Scales and modes]]		* [[/Scales and modes]]

Astaryuu: /* On notation */

2025-05-29T17:14:34Z

On notation

← Older revision		Revision as of 17:14, 29 May 2025
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	\| 14 \|\| θ		\| 14 \|\| θ
	\|}		\|}
			This basically follows the Greek letter notation, but I find it really dumb that not only does the official one use accidentals that aren't the official sharp and flat letters, but more importantly, it also uses Greek letters that ''sound like'' the first eight Latin letters, rather than the actual first eight Greek letters.

Astaryuu: /* 24edt */

2025-05-29T10:21:50Z

24edt

← Older revision		Revision as of 10:21, 29 May 2025
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	===24edt===		===24edt===
	[[File:12edo vs 15edo vs 24edt.~~png~~\|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 12edo.]]
	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.

Astaryuu: /* Subpages */

2025-05-29T10:18:28Z

Subpages

@@ Line 13: / Line 13: @@
 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.
-=Subpages=
+=Notes=
-[[/Scales and modes]]
+* On Notation (you're here!)
-[[/Notes and chords]]
+* [[/Scales and modes]]