525/512 - Revision history

FloraC: + factorizations

2026-04-08T09:31:17Z

+ factorizations

← Older revision		Revision as of 09:31, 8 April 2026
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	}}		}}
	'''525/512''', the '''avicennma''', also known as ''Avicenna's enharmonic diesis'', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 43.4 [[cent]]s. It is the difference between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].		'''525/512''', the '''avicennma''', also known as ''Avicenna's enharmonic diesis'', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 43.4 [[cent]]s. It is the difference between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].

			In the 11-limit, it factors into ([[45/44]])⋅([[385/384]]), and in the [[2.3.5.7.13 subgroup]], ([[65/64]])⋅([[105/104]]).

	== Temperaments ==		== Temperaments ==

FloraC: Cleanup

2025-12-01T10:58:21Z

Cleanup

← Older revision		Revision as of 10:58, 1 December 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Avicenna's enharmonic diesis~~, avicennma~~		\| Name = avicennma, Avicenna's enharmonic diesis
	\| Color name = Lzyy1, lazoyoyo unison		\| Color name = Lzyy1, lazoyoyo unison
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''525/512''', known as '''Avicenna's enharmonic diesis~~''' or '''avicennma'~~'', is ~~the~~ [[7-limit]] [[~~medium~~ comma]] between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].		'''525/512''', the '''avicennma''', also known as ''Avicenna's enharmonic diesis'', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 43.4 [[cent]]s. It is the difference between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].

	== Temperaments ==		== Temperaments ==
	Tempering it out equates 64/63 with 25/24 and leads to the avicennmic temperament. Because it flattens 3/2 and 5/4, it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.		[[Tempering out]] this comma equates 64/63 with 25/24 and leads to the [[avicennmic]] temperament. Because it flattens [[3/2]] and [[5/4]], it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.

	== See ~~also ==~~		See [[Avicennmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
	* [[Medium comma]]
	* [[Avicennmic temperaments]], a collection of rank-2 temperaments where it is tempered out

	[[Category:Avicennmic]]		[[Category:Avicennmic]]
	[[Category:Commas named after polymaths]]		[[Category:Commas named after polymaths]]

FloraC: - data (addressed in the misc. page)

2025-12-01T10:56:10Z

- data (addressed in the misc. page)

← Older revision		Revision as of 10:56, 1 December 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}

	'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the [[7-limit]] [[medium comma]] between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].		'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the [[7-limit]] [[medium comma]] between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].

	== Temperaments ==		== Temperaments ==
	Tempering it out equates 64/63 with 25/24 and leads to the avicennmic temperament. Because it flattens 3/2 and 5/4, it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.		Tempering it out equates 64/63 with 25/24 and leads to the avicennmic temperament. Because it flattens 3/2 and 5/4, it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.

	~~=== Avicennmic temperament ===~~
	~~Subgroup: 2.3.5.7~~

	~~[[Comma list]]: 525/512~~

	~~[[Mapping]]: [{{val\| 1 0 0 9 }}, {{val\| 0 1 0 -1 }}, {{val\| 0 0 1 -2 }}]~~

	~~[[POTE generator]]s: ~3/2 = 695.5265, ~5/4 = 374.1745~~

	~~{{Optimal ET sequence\|legend=1\| 7, 9, 10, 16, 19, 45, 64cd, 93cdd, 119bccdd, 138bccdd }}~~

	~~[[Badness]]: 0.4765 × 10<sup>-3</sup>~~

	== See also ==		== See also ==

VectorGraphics at 03:53, 26 August 2025

2025-08-26T03:53:36Z

← Older revision		Revision as of 03:53, 26 August 2025
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	== Temperaments ==		== Temperaments ==
	Tempering it out equates 64/63 with 25/24 and leads to the avicennmic temperament.		Tempering it out equates 64/63 with 25/24 and leads to the avicennmic temperament. Because it flattens 3/2 and 5/4, it is a natural choice to further temper out [[81/80]], resulting in [[flattone]] temperament.

	=== Avicennmic temperament ===		=== Avicennmic temperament ===

BudjarnLambeth at 02:13, 4 November 2024

2024-11-04T02:13:31Z

← Older revision		Revision as of 02:13, 4 November 2024
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	[[Category:Avicennmic]]		[[Category:Avicennmic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after polymaths]]

BudjarnLambeth at 07:47, 3 November 2024

2024-11-03T07:47:03Z

← Older revision		Revision as of 07:47, 3 November 2024
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	[[Category:Avicennmic]]		[[Category:Avicennmic]]
			[[Category:Commas named after individuals]]

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:30:01Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 18:30, 7 May 2023
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	[[POTE generator]]s: ~3/2 = 695.5265, ~5/4 = 374.1745		[[POTE generator]]s: ~3/2 = 695.5265, ~5/4 = 374.1745

	{{~~Val list~~\|legend=1\| 7, 9, 10, 16, 19, 45, 64cd, 93cdd, 119bccdd, 138bccdd }}		{{Optimal ET sequence\|legend=1\| 7, 9, 10, 16, 19, 45, 64cd, 93cdd, 119bccdd, 138bccdd }}

	[[Badness]]: 0.4765 × 10<sup>-3</sup>		[[Badness]]: 0.4765 × 10<sup>-3</sup>

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:12:54Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:12, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 525/512~~		\| Name = Avicenna's enharmonic diesis, avicennma
	~~\| Monzo = -9 1 2 1~~
	~~\| Cents = 43.40834~~
	\| Name = Avicenna's enharmonic diesis, ~~<br>~~avicennma
	\| Color name = Lzyy1, lazoyoyo unison		\| Color name = Lzyy1, lazoyoyo unison
	\| ~~FJS name = A1<sup>25, 7</sup>~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

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	* [[Avicennmic temperaments]], a collection of rank-2 temperaments where it is tempered out		* [[Avicennmic temperaments]], a collection of rank-2 temperaments where it is tempered out

	~~[[Category:7-limit]]~~
	~~[[Category:Medium commas]]~~
	[[Category:Avicennmic]]		[[Category:Avicennmic]]

Fredg999 category edits: Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot

2022-03-20T21:53:42Z

Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot

← Older revision		Revision as of 21:53, 20 March 2022
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	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:Medium ~~comma~~]]		[[Category:Medium commas]]
	[[Category:Avicennmic]]		[[Category:Avicennmic]]

Fredg999: Completed color name, misc. edits, categories

2021-12-20T19:18:41Z

Completed color name, misc. edits, categories

← Older revision		Revision as of 19:18, 20 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 525/512		\| Ratio = 525/512
	\| Monzo = -9 1 2 1		\| Monzo = -9 1 2 1
	\| Cents = 43.40834		\| Cents = 43.40834
	\| Name = Avicenna's enharmonic diesis, <br>avicennma		\| Name = Avicenna's enharmonic diesis, <br>avicennma
	\| Color name = ~~Lazoyoyo~~		\| Color name = Lzyy1, lazoyoyo unison
	\| FJS name = A1<sup>25, 7</sup>		\| FJS name = A1<sup>25, 7</sup>
	\| Sound =		\| Sound =
	}}		}}

	'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the ~~interval~~ between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].		'''525/512''', known as '''Avicenna's enharmonic diesis''' or '''avicennma''', is the [[7-limit]] [[medium comma]] between [[64/63]] and [[25/24]], or between [[32/25]] and [[21/16]].

	== Temperaments ==		== Temperaments ==
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	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:Medium comma]]		[[Category:Medium comma]]
	~~[[Category:Interval]]~~
	[[Category:Avicennmic]]		[[Category:Avicennmic]]