441/440 - Revision history

Aura at 17:22, 14 December 2025

2025-12-14T17:22:08Z

← Older revision		Revision as of 17:22, 14 December 2025
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	== Temperaments ==		== Temperaments ==
	Tempering it out splits [[11/10]] into two even halves, ~~equates~~ 21/16 with [[55/42]] ~~to create some interesting-sounding triads~~, and makes [[werckismic chords]] possible. See [[Rank-4 temperament #Werckismic (441/440)]] for some technical data. See [[Werckismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.		Tempering it out splits [[11/10]] into two even halves by equating 21/20 and 22/21, splits [[55/32]] into two even halves by equating 21/16 with [[55/42]], and makes [[werckismic chords]] possible. See [[Rank-4 temperament #Werckismic (441/440)]] for some technical data. See [[Werckismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.

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

FloraC: Don't see anyone use the long name. Misc. fixes

2025-11-30T11:22:51Z

Don't see anyone use the long name. Misc. fixes

← Older revision		Revision as of 11:22, 30 November 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma~~''', or more simply, the '''werckisma'~~'', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. It also arises as the following comma differences: ([[49/48]])/([[55/54]]), ([[56/55]])([[64/63]]), ([[81/80]])/([[99/98]]), ([[126/125]])/([[176/175]]), and ([[243/242]])/([[540/539]]).		'''441/440''', the '''werckisma''', also known as ''Werckmeister's undecimal septenarian schisma'', is a [[small comma\|small]] [[superparticular]] [[11-limit]] [[comma]] with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])⋅([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. It also arises as the following comma differences: ([[49/48]])/([[55/54]]), ([[56/55]])/([[64/63]]), ([[81/80]])/([[99/98]]), ([[126/125]])/([[176/175]]), and ([[243/242]])/([[540/539]]).

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 02:10, 4 November 2024

2024-11-04T02:10:00Z

← Older revision		Revision as of 02:10, 4 November 2024
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	[[Category:Werckismic]]		[[Category:Werckismic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]
			[[Category:Commas named after music theorists]]

BudjarnLambeth at 09:37, 3 November 2024

2024-11-03T09:37:28Z

← Older revision		Revision as of 09:37, 3 November 2024
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	[[Category:Werckismic]]		[[Category:Werckismic]]
			[[Category:Commas named after individuals]]

FloraC: Address some links from see also properly

2024-06-22T13:21:41Z

Address some links from see also properly

← Older revision		Revision as of 13:21, 22 June 2024
Line 7:		Line 7:

	== Temperaments ==		== Temperaments ==
	Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and makes [[werckismic chords]] possible. See [[Rank-4 temperament #Werckismic (441/440)]] for some technical data.		Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and makes [[werckismic chords]] possible. See [[Rank-4 temperament #Werckismic (441/440)]] for some technical data. See [[Werckismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.

	== See also ==		== See also ==
	* [[Werckismic chords]]
	* [[Rank-4 temperament #Werckismic (441/440)]]
	* [[Werckismic temperaments]], a collection of rank-3 temperaments where it is tempered out
	* [[Small comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Werckismic]]		[[Category:Werckismic]]

FloraC: +commatic relations

2024-06-22T13:19:58Z

+commatic relations

← Older revision		Revision as of 13:19, 22 June 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth.		'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. It also arises as the following comma differences: ([[49/48]])/([[55/54]]), ([[56/55]])([[64/63]]), ([[81/80]])/([[99/98]]), ([[126/125]])/([[176/175]]), and ([[243/242]])/([[540/539]]).

	== Temperaments ==		== Temperaments ==

TallKite at 21:46, 11 January 2023

2023-01-11T21:46:53Z

← Older revision		Revision as of 21:46, 11 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = werckisma		\| Name = werckisma
	\| Color name = Luzozogu		\| Color name = 1uzzg2, luzozogu 2nd,<br>Luzozogu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T15:54:40Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 15:54, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 441/440~~
	~~\| Monzo = -3 2 -1 2 -1~~
	~~\| Cents = 3.93016~~
	\| Name = werckisma		\| Name = werckisma
	\| Color name = Luzozogu		\| Color name = Luzozogu
	\| ~~FJS name =~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}
	'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth.		'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth.
Line 20:		Line 16:
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:11-limit]]~~
	~~[[Category:Small commas]]~~
	~~[[Category:Superparticular]]~~
	[[Category:Werckismic]]		[[Category:Werckismic]]

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

2022-03-20T21:59:56Z

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

← Older revision		Revision as of 21:59, 20 March 2022
Line 21:		Line 21:

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Werckismic]]		[[Category:Werckismic]]

FloraC at 14:06, 6 October 2021

2021-10-06T14:06:17Z

← Older revision		Revision as of 14:06, 6 October 2021
Line 8:		Line 8:
	\| Sound =		\| Sound =
	}}		}}
	'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and, makes [[werckismic chords]] possible.		'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma\|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth.

			== Temperaments ==
			Tempering it out splits [[11/10]] into two even halves, equates 21/16 with [[55/42]] to create some interesting-sounding triads, and makes [[werckismic chords]] possible. See [[Rank-4 temperament #Werckismic (441/440)]] for some technical data.

	== See also ==		== See also ==
	* [[Werckismic chords]]		* [[Werckismic chords]]
	* [[Rank-4 temperament]]		* [[Rank-4 temperament #Werckismic (441/440)]]
	* [[Werckismic temperaments]], a collection of rank-3 temperaments where it is tempered out		* [[Werckismic temperaments]], a collection of rank-3 temperaments where it is tempered out
	* [[Small comma]]		* [[Small comma]]