Cantonisma - Revision history

FloraC: Cleanup & expand

2026-04-22T10:11:18Z

Cleanup & expand

← Older revision		Revision as of 10:11, 22 April 2026
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	~~'''10985/10976''', otherwise known as the~~ '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs\| 10, 19, 27, 38, 46, 84, 103, 121, 130, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.		The '''cantonisma''' is an [[unnoticeable comma]] of the [[13-limit]] with a ratio of 10985/10976 and a value of approximately 1.42 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])⋅([[4225/4224]]).

			== Temperaments ==
			[[Tempering out]] this comma in the 13-limit leads to the rank-5 '''cantonismic''' temperament, or in the 2.5.7.13 subgroup, the rank-3 '''cantonic''' temperament. It is tempered out in such notable [[edo]]s as {{EDOs\| 10, 19, 27, 38, 46, 84, 103, 121, 130, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

	== Etymology ==		== Etymology ==
	This comma was named by [[Margo Schulter]] in 2013 after [[Gene Ward Smith]]'s [[~~canton~~]] scale<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_106251.html Yahoo! Tuning Group \| ''Gene's 10985/10976 or (14/13)^3 vs. 5/4 as cantonisma'']</ref>.		This comma was named by [[Margo Schulter]] in 2013 after [[Gene Ward Smith]]'s [[Canton]] scale<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_106251.html Yahoo! Tuning Group \| ''Gene's 10985/10976 or (14/13)^3 vs. 5/4 as cantonisma'']</ref>.

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

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

	[[Category:Cantonismic]]		[[Category:Cantonismic]]
	[[Category:Commas named after musical traditions]]		[[Category:Commas named after musical traditions]]

Neutraldown: changed list of EDOs

2025-11-19T06:02:50Z

changed list of EDOs

← Older revision		Revision as of 06:02, 19 November 2025
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	}}		}}

	'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs\| 46, 84~~, 94~~, 103~~, 111~~, 121, 130~~, 159~~, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.		'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs\| 10, 19, 27, 38, 46, 84, 103, 121, 130, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

	== Etymology ==		== Etymology ==

BudjarnLambeth at 09:30, 3 November 2024

2024-11-03T09:30:38Z

← Older revision		Revision as of 09:30, 3 November 2024
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	[[Category:Cantonismic]]		[[Category:Cantonismic]]
	[[Category:Commas named after ~~compositions~~]]		[[Category:Commas named after musical traditions]]

BudjarnLambeth at 09:06, 3 November 2024

2024-11-03T09:06:56Z

← Older revision		Revision as of 09:06, 3 November 2024
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	[[Category:Cantonismic]]		[[Category:Cantonismic]]
			[[Category:Commas named after compositions]]

Francium: Added color name

2023-09-07T18:55:54Z

Added color name

← Older revision		Revision as of 18:55, 7 September 2023
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	\| Ratio = 10985/10976		\| Ratio = 10985/10976
	\| Name = cantonisma		\| Name = cantonisma
			\| Color name = 3o<sup>3</sup>r<sup>3</sup>y-2, trithoru-ayo negative 2nd
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: +naming

2023-07-20T09:14:05Z

+naming

← Older revision		Revision as of 09:14, 20 July 2023
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	'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs\| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.		'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs\| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

			== Etymology ==
			This comma was named by [[Margo Schulter]] in 2013 after [[Gene Ward Smith]]'s [[canton]] scale<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_106251.html Yahoo! Tuning Group \| ''Gene's 10985/10976 or (14/13)^3 vs. 5/4 as cantonisma'']</ref>.

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

			== Notes ==

	[[Category:Cantonismic]]		[[Category:Cantonismic]]

FloraC: +factorization; +category

2023-05-20T08:48:20Z

+factorization; +category

← Older revision		Revision as of 08:48, 20 May 2023
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	'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 ~~cents~~. It forms the difference by which a stack of three [[14/13]] (trienthirds) falls short of ~~one~~ [[5/4]] (major third)~~, and~~ is tempered out in such notable [[~~EDO~~]]s as {{EDOs\| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.		'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 [[cent]]s. It forms the difference by which a stack of three [[14/13]]'s (trienthirds) falls short of [[5/4]] (classical major third). It factors into ([[1716/1715]])([[4225/4224]]). It is tempered out in such notable [[edo]]s as {{EDOs\| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

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

			[[Category:Cantonismic]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:30:08Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:30, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 10985/10976		\| Ratio = 10985/10976
	~~\| Monzo = -5 0 1 -3 0 3~~
	~~\| Cents = 1.41898~~
	\| Name = cantonisma		\| Name = cantonisma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}

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

	~~[[Category:13-limit]]~~
	~~[[Category:Unnoticeable commas]]~~

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

2022-03-20T22:01:54Z

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:13-limit]]		[[Category:13-limit]]
	[[Category:Unnoticeable ~~comma~~]]		[[Category:Unnoticeable commas]]

Xenwolf: tried to clarify which is the smaller one

2020-11-24T18:20:01Z

tried to clarify which is the smaller one

← Older revision		Revision as of 18:20, 24 November 2020
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	}}		}}

	'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 cents. It forms the difference ~~between~~ a stack of three [[14/13]] trienthirds~~, and~~ one [[5/4]] major third, and is tempered out in such notable [[EDO]]s as {{EDOs\| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.		'''10985/10976''', otherwise known as the '''cantonisma''', is an [[unnoticeable comma]] of the [[13-limit]] with a value of approximately 1.4 cents. It forms the difference by which a stack of three [[14/13]] (trienthirds) falls short of one [[5/4]] (major third), and is tempered out in such notable [[EDO]]s as {{EDOs\| 46, 84, 94, 103, 111, 121, 130, 159, 224, 270, 494 and 764 }}, leading to a variety of temperaments in which three trienthirds make up a 5/4 major third.

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