Symbiotic comma - Revision history

FloraC: Mention the no-5 temp's name. Re-organize

2026-05-19T10:10:03Z

Mention the no-5 temp's name. Re-organize

← Older revision		Revision as of 10:10, 19 May 2026
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	'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a quartertone of [[33/32]] stacked on top of a third-tone of [[28/27]].		'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] (specifically [[2.3.7.11 subgroup\|2.3.7.11-subgroup]]) [[comma]] measuring about 2.55 [[cent]]s. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a quartertone of [[33/32]] stacked on top of a third-tone of [[28/27]].

	It factors into ([[4375/4374]])⋅([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]]. In the [[19-limit]], it factors neatly into ([[1216/1215]])⋅([[1540/1539]]).		It factors into ([[4375/4374]])⋅([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]]. In the [[19-limit]], it factors neatly into ([[1216/1215]])⋅([[1540/1539]]).

	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic ~~temperament~~''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]). ~~This~~ temperament identifies [[11/8]] by an apotome over [[9/7]], [[11/6]] by an apotome over [[12/7]], and [[11/9]] by an apotome over [[8/7]]. Finally, it identifies 11/9 by a [[256/243\|limma]] below 9/7.		[[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic''' temperament (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]), or in the 2.3.7.11 subgroup, the '''symbiotian''' temperament. In either case, it identifies [[11/8]] by an apotome over [[9/7]], [[11/6]] by an apotome over [[12/7]], and [[11/9]] by an apotome over [[8/7]]. Finally, it identifies 11/9 by a [[256/243\|limma]] below 9/7.

			== Etymology ==
			This comma was named by [[Aura]] in 2020, from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[canou family\|canou]].

	[[Category:Symbiotic]]		[[Category:Symbiotic]]
	[[Category:Commas named for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]

FloraC: Expand

2025-02-20T08:18:05Z

Expand

← Older revision		Revision as of 08:18, 20 February 2025
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	}}		}}

	'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[11-limit]] [[~~unnoticeable~~ comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[~~Canou~~ family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] ~~quartertone~~ stacked on top of [[28/27]]. ~~Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]].~~ It factors into ([[4375/4374]])([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]].		'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] [[comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a quartertone of [[33/32]] stacked on top of a third-tone of [[28/27]].

			It factors into ([[4375/4374]])⋅([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]]. In the [[19-limit]], it factors neatly into ([[1216/1215]])⋅([[1540/1539]]).

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]).		[[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]). This temperament identifies [[11/8]] by an apotome over [[9/7]], [[11/6]] by an apotome over [[12/7]], and [[11/9]] by an apotome over [[8/7]]. Finally, it identifies 11/9 by a [[256/243\|limma]] below 9/7.

	~~== See also ==~~
	* [[~~Unnoticeable comma~~]]

	[[Category:Symbiotic]]		[[Category:Symbiotic]]
	[[Category:Commas named for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]

BudjarnLambeth at 23:45, 3 November 2024

2024-11-03T23:45:42Z

← Older revision		Revision as of 23:45, 3 November 2024
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	[[Category:Symbiotic]]		[[Category:Symbiotic]]
			[[Category:Commas named for their regular temperament properties]]

TallKite: added color name

2022-12-29T03:29:42Z

added color name

← Older revision		Revision as of 03:29, 29 December 2022
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	\| Ratio = 19712/19683		\| Ratio = 19712/19683
	\| Name = symbiotic comma, symbiosis, symbiosma		\| Name = symbiotic comma, symbiosis, symbiosma
			\| Color name = s1oz2, Salozo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: "Symbiosis" (without "comma")

2022-11-14T16:16:49Z

"Symbiosis" (without "comma")

← Older revision		Revision as of 16:16, 14 November 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 19712/19683		\| Ratio = 19712/19683
	\| Name = symbiotic comma, symbiosis ~~comma~~, symbiosma		\| Name = symbiotic comma, symbiosis, symbiosma
	\| Comma = yes		\| Comma = yes
	}}		}}

	'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis ~~comma~~''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. It factors into ([[4375/4374]])([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]].		'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. It factors into ([[4375/4374]])([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]].

	== Temperaments ==		== Temperaments ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T18:03:59Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 18:03, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 19712/19683		\| Ratio = 19712/19683
	~~\| Monzo = 8 -9 0 1 1~~		\| Name = symbiotic comma, symbiosis comma, symbiosma
	~~\| Cents = 2.54884~~		\| Comma = yes
	\| Name = symbiotic comma, ~~<br>~~symbiosis comma, ~~<br>~~symbiosma
	\| ~~Color name =~~
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

	~~[[Category:11-limit]]~~
	~~[[Category:Unnoticeable commas]]~~
	[[Category:Symbiotic]]		[[Category:Symbiotic]]

FloraC: +factorization; lemma ordering; links

2022-10-01T13:48:24Z

+factorization; lemma ordering; links

← Older revision		Revision as of 13:48, 1 October 2022
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	\| Monzo = 8 -9 0 1 1		\| Monzo = 8 -9 0 1 1
	\| Cents = 2.54884		\| Cents = 2.54884
	\| Name = ~~symbiosis~~ comma, <br> ~~symbiotic~~ comma, <br> symbiosma		\| Name = symbiotic comma, <br>symbiosis comma, <br>symbiosma
	\| Color name =		\| Color name =
	\| FJS name =		\| FJS name =
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	}}		}}

	'''19712/19683''', the '''~~symbiosis~~ comma''', also known as the '''~~symbiotic~~ comma''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 ~~cents~~. It gets its names from the fact that it is tempered out in such notable temperaments as [[~~Vishnuzmic family #Vishnu\|~~vishnu]], [[~~Breedsmic temperaments #Newt\|~~newt]], [[~~Mirkwai clan #Kwai\|~~kwai]], [[~~Hemifamity temperaments #Supers\|~~supers]], [[~~Schismatic family #Guiron\|~~guiron]] and [[~~Amity family\|~~amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. ~~Moreover~~, ~~it is the sum of~~ the [[quartisma]] and the [[~~nexisma~~]].		'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis comma''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. It factors into ([[4375/4374]])([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]].

	== Temperaments ==		== Temperaments ==

FloraC: Sectioning and +link

2022-09-01T23:18:33Z

Sectioning and +link

← Older revision		Revision as of 23:18, 1 September 2022
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	}}		}}

	'''19712/19683''', the '''symbiosis comma''', also known as the '''symbiotic comma''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 cents. It gets its names from the fact that it is tempered out in such notable temperaments as [[Vishnuzmic family #Vishnu\|vishnu]], [[Breedsmic temperaments #Newt\|newt]], [[Mirkwai clan #Kwai\|kwai]], [[Hemifamity temperaments #Supers\|supers]], [[Schismatic family #Guiron\|guiron]] and [[Amity family\|amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]]- the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. Moreover, it is the sum of the [[quartisma]] and the [[nexisma]]. Tempering out this comma in ~~a linearly independent fashion~~ results in '''symbiotic temperament'''.		'''19712/19683''', the '''symbiosis comma''', also known as the '''symbiotic comma''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 cents. It gets its names from the fact that it is tempered out in such notable temperaments as [[Vishnuzmic family #Vishnu\|vishnu]], [[Breedsmic temperaments #Newt\|newt]], [[Mirkwai clan #Kwai\|kwai]], [[Hemifamity temperaments #Supers\|supers]], [[Schismatic family #Guiron\|guiron]] and [[Amity family\|amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family\|canou]]. It is the difference between an [[2187/2048\|apotome (2187/2048)]] and an [[77/72\|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. Moreover, it is the sum of the [[quartisma]] and the [[nexisma]].

			== Temperaments ==
			Tempering out this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]).

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

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

2022-03-20T22:01:55Z

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

← Older revision		Revision as of 22:01, 20 March 2022
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Unnoticeable ~~comma~~]]		[[Category:Unnoticeable commas]]
	[[Category:Symbiotic]]		[[Category:Symbiotic]]

FloraC: FloraC moved page Symbiosma to Symbiotic comma: By a logical analysis of comma naming

2021-02-16T17:02:08Z

FloraC moved page Symbiosma to Symbiotic comma: By a logical analysis of comma naming

← Older revision	Revision as of 17:02, 16 February 2021
(No difference)