2080/2079 - Revision history

FloraC: /* Temperaments */ note the rank

2026-03-04T08:00:01Z

Temperaments: note the rank

← Older revision		Revision as of 08:00, 4 March 2026
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit defines the '''ibnsinmic''' or '''sinaismic''' temperament, which enables the [[ibnsinmic chords\|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes [[13/11]] and [[80/63]] [[fifth complement]]s of each other, as well as [[40/33]] and [[26/21]]. You may find a list of good [[equal temperament]]s that [[support]] this temperament below.		[[Tempering out]] this comma in the 13-limit defines the rank-5 '''ibnsinmic''' or '''sinaismic''' temperament, which enables the [[ibnsinmic chords\|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes [[13/11]] and [[80/63]] [[fifth complement]]s of each other, as well as [[40/33]] and [[26/21]]. You may find a list of good [[equal temperament]]s that [[support]] this temperament below.

	[[Subgroup]]: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13

FloraC: Complate data. Cleanup

2026-03-04T07:56:17Z

Complate data. Cleanup

← Older revision		Revision as of 07:56, 4 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''2080/2079''', the '''ibnsinma''', otherwise known as the '''sinaisma''', is a [[13-limit]] [[~~unnoticeable~~ comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].		'''2080/2079''', the '''ibnsinma''', otherwise known as the '''sinaisma''', is an [[unnoticeable comma\|unnoticeable]] [[13-limit]] [[comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].

	== Commatic relations ==		== Commatic relations ==
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	== Temperaments ==		== Temperaments ==
	~~By tempering it~~ out ~~is defined~~ the '''ibnsinmic''' or '''sinaismic ~~temperament~~''', which enables the [[ibnsinmic chords\|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes ~~[[fifth complement]]s of~~ [[13/11]] and [[80/63]], ~~and of~~ [[40/33]] and [[26/21]]. You may find a list of good equal ~~temperaments~~ that support this temperament below.		[[Tempering out]] this comma in the 13-limit defines the '''ibnsinmic''' or '''sinaismic''' temperament, which enables the [[ibnsinmic chords\|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes [[13/11]] and [[80/63]] [[fifth complement]]s of each other, as well as [[40/33]] and [[26/21]]. You may find a list of good [[equal temperament]]s that [[support]] this temperament below.

	[[Subgroup]]: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13
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	\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 1 \|\| ]]		\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 1 \|\| ]]
	\|}		\|}
			: mapping generators: ~2, ~3, ~5, ~7, ~11

	: ~~mapping generators~~: ~2, ~3, ~5, ~7, ~11		[[Optimal tuning]]s:
			: [[WE]]: ~2 = 1199.9519{{c}}, ~3/2 = 702.0756{{c}}, ~5/4 = 386.3580{{c}}, ~7/4 = 968.9979{{c}}, ~11/8 = 551.5774{{c}}
			: [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.0843{{c}}, ~5/4 = 386.3184{{c}}, ~7/4 = 968.9934{{c}}, ~11/8 = 551.5497{{c}}

	{{Optimal ET sequence\|legend=1\| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *		{{Optimal ET sequence\|legend=1\| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *

	<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo\|3044]]		<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo\|3044]]

			[[Badness]] (Sintel): 0.149

	== Etymology ==		== Etymology ==
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	== ~~Notes~~ ==		== References ==

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

BudjarnLambeth at 02:58, 4 November 2024

2024-11-04T02:58:51Z

← Older revision		Revision as of 02:58, 4 November 2024
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	[[Category:Ibnsinmic]]		[[Category:Ibnsinmic]]
			[[Category:Commas named after polymaths]]

FloraC: +name proposal

2024-02-19T07:29:29Z

+name proposal

← Older revision		Revision as of 07:29, 19 February 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ibnsinma		\| Name = ibnsinma, sinaisma
	\| Color name = 3o1ury1, tholuruyo 1sn, <br>Tholuruyo comma		\| Color name = 3o1ury1, tholuruyo 1sn, <br>Tholuruyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].		'''2080/2079''', the '''ibnsinma''', otherwise known as the '''sinaisma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].

	== Commatic relations ==		== Commatic relations ==
Line 32:		Line 32:

	== Temperaments ==		== Temperaments ==
	By tempering it out is defined the '''ibnsinmic temperament''', which enables the [[ibnsinmic chords]], the essentially tempered ~~chords~~ in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.		By tempering it out is defined the '''ibnsinmic''' or '''sinaismic temperament''', which enables the [[ibnsinmic chords\|ibnsinmic a.k.a. sinaismic chords]], the [[essentially tempered chord]]s in the [[21-odd-limit]]. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

	[[Subgroup]]: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13
Line 57:		Line 57:

	== Etymology ==		== Etymology ==
	~~The ibnsinma~~ was named by [[Margo Schulter]] in 2012, when it went by ''ibn Sina's comma''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105620.html Yahoo! Tuning List \| ''123201/123200 chalmersia, 194481/194480 scintillisma'']</ref>. It was contracted to ''avicennma'' and later changed to ''ibnsinma'', all essentially meaning the same ~~thing, but note~~ that ''avicennma'' refers to Avicenna's enharmonic diesis ([[525/512]]) today.		This comma was named by [[Margo Schulter]] in 2012, when it went by ''ibn Sina's comma''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105620.html Yahoo! Tuning List \| ''123201/123200 chalmersia, 194481/194480 scintillisma'']</ref>. It was contracted to ''avicennma'' and later changed to ''ibnsinma'' by [[Gene Ward Smith]], all essentially meaning the same. Note that ''avicennma'' refers to Avicenna's enharmonic diesis ([[525/512]]) today. In 2023, [[Flora Canou]] proposed ''sinaisma'' as another spelling, reflecting the fact that the [[interval region]] arising from the same source is called ''[[sinaic]]''.

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

Xenllium: Fixed typo

2023-11-23T02:22:49Z

Fixed typo

← Older revision		Revision as of 02:22, 23 November 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ibnsinma		\| Name = ibnsinma
	\| Color name = 3o1ury1, tholuruyo 1sn,<br>Tholuruyo comma		\| Color name = 3o1ury1, tholuruyo 1sn, <br>Tholuruyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
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	== Commatic relations ==		== Commatic relations ==
	This comma identifies itself as the ~~difference~~ difference between eight pairs of superparticular ratios:		This comma identifies itself as the difference between eight pairs of 13-limit superparticular ratios:
	* [[64/63]] and [[66/65]]		* [[64/63]] and [[66/65]]
	* [[78/77]] and [[81/80]]		* [[78/77]] and [[81/80]]

Xenllium at 15:15, 21 November 2023

2023-11-21T15:15:10Z

← Older revision		Revision as of 15:15, 21 November 2023
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is ~~such~~ a ~~significant~~ comma ~~in the 13-limit being~~ the difference between eight pairs of superparticular ratios:		'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].

			== Commatic relations ==
			This comma identifies itself as the difference difference between eight pairs of superparticular ratios:
	* [[64/63]] and [[66/65]]		* [[64/63]] and [[66/65]]
	* [[78/77]] and [[81/80]]		* [[78/77]] and [[81/80]]
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	== Temperaments ==		== Temperaments ==
	By tempering it out is defined the '''ibnsinmic temperament''', which enables the ~~'''~~ibnsinmic chords~~'''~~, the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.		By tempering it out is defined the '''ibnsinmic temperament''', which enables the [[ibnsinmic chords]], the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

	[[Subgroup]]: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13

FloraC: /* Temperaments */ formatting

2023-07-19T12:28:25Z

Temperaments: formatting

← Older revision		Revision as of 12:28, 19 July 2023
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	[[Mapping]]: <br>		[[Mapping]]: <br>
	[~~{{val~~\| 1 0 0 0 0 -5 }}, ~~<br>~~		{\| class="right-all"
	~~{{val~~\| 0 1 0 0 0 3 }}, ~~<br>~~		\|-
	~~{{val~~\| 0 0 1 0 0 -1 }}, ~~<br>~~		\| [⟨ \|\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| -5 \|\| ],
	~~{{val~~\| 0 0 0 1 0 1 }}, ~~<br>~~		\|-
	~~{{val~~\| 0 0 0 0 1 1 }}]		\| ⟨ \|\| 0 \|\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 3 \|\| ],
			\|-
			\| ⟨ \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| 0 \|\| -1 \|\| ],
			\|-
			\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| 1 \|\| ],
			\|-
			\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 1 \|\| ]]
			\|}

	~~Mapping~~ generators: ~2, ~3, ~5, ~7, ~11		: mapping generators: ~2, ~3, ~5, ~7, ~11

	{{Optimal ET sequence\|legend=1\| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *		{{Optimal ET sequence\|legend=1\| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *

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

2023-05-07T18:42:22Z

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

← Older revision		Revision as of 18:42, 7 May 2023
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	Mapping generators: ~2, ~3, ~5, ~7, ~11		Mapping generators: ~2, ~3, ~5, ~7, ~11

	{{~~Val list~~\|legend=1\| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *		{{Optimal ET sequence\|legend=1\| 12f, 14cf, 15, 17c, 19, 22f, 26, 29, 31f, 39df, 41, 46, 53, 58, 72, 87, 111, 130, 183, 198, 224, 270, 494, 764, 935, 1075, 1205, 1699, 2280, 2774e, 3326de, 3596de, 3907bdee, 4401bdee, 4671bde }} *

	<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo\|3044]]		<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo\|3044]]

FloraC: +etymology

2023-03-08T12:06:01Z

+etymology

← Older revision		Revision as of 12:06, 8 March 2023
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	By tempering it out is defined the '''ibnsinmic temperament''', which enables the '''ibnsinmic chords''', the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.		By tempering it out is defined the '''ibnsinmic temperament''', which enables the '''ibnsinmic chords''', the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

	Subgroup: 2.3.5.7.11.13		[[Subgroup]]: 2.3.5.7.11.13

	[[Mapping]]: <br>		[[Mapping]]: <br>
Line 45:		Line 45:

	<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo\|3044]]		<nowiki>*</nowiki> [[optimal patent val]]: [[3044edo\|3044]]

			== Etymology ==
			The ibnsinma was named by [[Margo Schulter]] in 2012, when it went by ''ibn Sina's comma''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105620.html Yahoo! Tuning List \| ''123201/123200 chalmersia, 194481/194480 scintillisma'']</ref>. It was contracted to ''avicennma'' and later changed to ''ibnsinma'', all essentially meaning the same thing, but note that ''avicennma'' refers to Avicenna's enharmonic diesis ([[525/512]]) today.

	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			== Notes ==

	[[Category:Ibnsinmic]]		[[Category:Ibnsinmic]]

TallKite at 20:25, 11 January 2023

2023-01-11T20:25:50Z

← Older revision		Revision as of 20:25, 11 January 2023
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = ibnsinma		\| Name = ibnsinma
			\| Color name = 3o1ury1, tholuruyo 1sn,<br>Tholuruyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}