Cathartic comma - Revision history

FloraC: FloraC moved page Canousma to Cathartic comma: Rename (see talk at Cathartic family)

2026-08-10T12:42:35Z

FloraC moved page Canousma to Cathartic comma: Rename (see talk at Cathartic family)

← Older revision	Revision as of 12:42, 10 August 2026
(No difference)

FloraC: Initiate the rename (see talk at Cathartic family)

2026-08-10T12:42:02Z

Initiate the rename (see talk at Cathartic family)

← Older revision		Revision as of 12:42, 10 August 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 4802000/4782969		\| Ratio = 4802000/4782969
	\| Name = ~~canousma~~		\| Name = carthartic comma
	\| Color name = sz<sup>4</sup>y<sup>3</sup>3, saquadzo-atriyo 3rd		\| Color name = sz<sup>4</sup>y<sup>3</sup>3, saquadzo-atriyo 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}
			The '''cathartic comma''' (formerly ''canousma'', {{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: {{nowrap\| 4 802 000 / 4 782 969 }}) is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is the amount by which a stack of three instances of [[81/70]] falls short of [[14/9]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].
	The '''~~canousma~~''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: ~~4802000~~/~~4782969~~) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is ~~notable as~~ the amount by which a stack of three instances of [[81/70]] falls short of [[14/9]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].

	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the [[~~canou family~~]] ~~of rank-3 temperaments~~, which splits the syntonic comma into two equal parts, each representing 245/243. It also splits [[5/4]] (classic major third) into two equal parts, each representing 2450/2187~2187/1960. It is similar to [[3136/3125\|hemimean]] in that regard. Tempering out both equates 245/243 with [[126/125]] (septimal semicomma) and [[225/224]] (septimal kleisma) leads to [[parakleismic]].		[[Tempering out]] this comma leads to the rank-3 [[cathartic]] temperament, which splits the syntonic comma into two equal parts, each representing 245/243. It also splits [[5/4]] (classic major third) into two equal parts, each representing 2450/2187~2187/1960. It is similar to [[3136/3125\|hemimean]] in that regard. Tempering out both equates 245/243 with [[126/125]] (septimal semicomma) and [[225/224]] (septimal kleisma) leads to [[parakleismic]].

	See [[~~Canou~~ family]] for the rank-3 family where it is tempered out. See [[~~Canousmic~~ temperaments]] for a collection of rank-2 temperaments where it is tempered out.		See [[Cathartic family]] for the rank-3 family where it is tempered out. See [[Cathartic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
	This comma was named by [[Flora Canou]] in 2020 after herself.		This comma was first named by [[Flora Canou]] as ''canousma'' in 2020 after herself. In 2026, she disavowed that name and came up with the current name as a replacement, from the feeling she associated with the interval [[28/27]], which had the role of a basic building block in the corresponding temperament.

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

	[[Category:~~Canou~~]]		[[Category:Cathartic]]
	[[Category:Commas named ~~after composers]]~~		[[Category:Commas named for their regular temperament properties]]
	~~[[Category:Commas named after music theorists]]~~
	~~[[Category:Commas someone named after themselves~~]]

BudjarnLambeth at 02:24, 16 November 2024

2024-11-16T02:24:48Z

← Older revision		Revision as of 02:24, 16 November 2024
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	[[Category:Commas named after composers]]		[[Category:Commas named after composers]]
	[[Category:Commas named after music theorists]]		[[Category:Commas named after music theorists]]
			[[Category:Commas someone named after themselves]]

BudjarnLambeth at 02:22, 4 November 2024

2024-11-04T02:22:59Z

← Older revision		Revision as of 02:22, 4 November 2024
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	[[Category:Canou]]		[[Category:Canou]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]
			[[Category:Commas named after music theorists]]

BudjarnLambeth at 08:50, 3 November 2024

2024-11-03T08:50:37Z

← Older revision		Revision as of 08:50, 3 November 2024
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	[[Category:Canou]]		[[Category:Canou]]
			[[Category:Commas named after individuals]]

FloraC: A better way to pump this comma

2024-02-12T09:20:23Z

A better way to pump this comma

← Older revision		Revision as of 09:20, 12 February 2024
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	}}		}}

	The '''canousma''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is notable as the amount by which a stack ~~consisting~~ of ~~[[112/81]] and~~ three instances of [[35/27]] ~~exceeds a~~ [[~~perfect twelfth~~]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].		The '''canousma''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is notable as the amount by which a stack of three instances of [[81/70]] falls short of [[14/9]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].

	== Temperaments ==		== Temperaments ==

Aura at 17:06, 10 January 2024

2024-01-10T17:06:37Z

← Older revision		Revision as of 17:06, 10 January 2024
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	}}		}}

	The '''canousma''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is notable as the amount by which a stack consisting of [[112/81]] and three instances of [[35/27]] exceeds ~~the~~ [[~~tritave~~]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].		The '''canousma''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is notable as the amount by which a stack consisting of [[112/81]] and three instances of [[35/27]] exceeds a [[perfect twelfth]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].

	== Temperaments ==		== Temperaments ==

Aura at 17:06, 10 January 2024

2024-01-10T17:06:10Z

← Older revision		Revision as of 17:06, 10 January 2024
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	}}		}}

	The '''canousma''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is the ~~difference between~~ the [[81/80\|syntonic comma (81/80)]] ~~and~~ a stack of two [[245/243\|sensamagic commas (245/243)]].		The '''canousma''' ({{monzo\|legend=1\| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is notable as the amount by which a stack consisting of [[112/81]] and three instances of [[35/27]] exceeds the [[tritave]]. It is also the interval separating the [[81/80\|syntonic comma (81/80)]] from a stack of two [[245/243\|sensamagic commas (245/243)]].

	== Temperaments ==		== Temperaments ==

Francium at 18:53, 7 September 2023

2023-09-07T18:53:38Z

← Older revision		Revision as of 18:53, 7 September 2023
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	\| Ratio = 4802000/4782969		\| Ratio = 4802000/4782969
	\| Name = canousma		\| Name = canousma
	\| Color name = sz>sup>4</sup>y<sup>3</sup>3, saquadzo-atriyo 3rd		\| Color name = sz<sup>4</sup>y<sup>3</sup>3, saquadzo-atriyo 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}

Francium: Added color name

2023-09-07T18:53:21Z

Added color name

← Older revision		Revision as of 18:53, 7 September 2023
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	\| Ratio = 4802000/4782969		\| Ratio = 4802000/4782969
	\| Name = canousma		\| Name = canousma
			\| Color name = sz>sup>4</sup>y<sup>3</sup>3, saquadzo-atriyo 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}