540/539 - Revision history

BudjarnLambeth at 02:14, 4 November 2024

2024-11-04T02:14:13Z

← Older revision		Revision as of 02:14, 4 November 2024
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	[[Category:Swetismic]]		[[Category:Swetismic]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after music theorists]]

BudjarnLambeth at 23:43, 3 November 2024

2024-11-03T23:43:49Z

← Older revision		Revision as of 23:43, 3 November 2024
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	[[Category:Swetismic]]		[[Category:Swetismic]]
			[[Category:Commas named after individuals]]

FloraC: +more commatic relations and fix wording

2024-06-22T13:34:27Z

+more commatic relations and fix wording

← Older revision		Revision as of 13:34, 22 June 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup> or to ([[12/11]])([[15/14]])/([[7/6]]). In terms of commas, it is ([[99/98]])/([[121/120]]).		'''540/539''', the '''swetisma''', is an [[unnoticeable comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup> or to ([[12/11]])([[15/14]])/([[7/6]]). In terms of commas, it is ([[99/98]])/([[121/120]]), ([[225/224]])/([[385/384]]), and ([[243/242]])/([[441/440]]).

	== Temperaments ==		== Temperaments ==
	Tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[big brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]] and enables [[swetismic chords]].		[[Tempering out]] any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[big brother]]. More generally, tempering out 540/539 leads to [[swetismic temperaments]] and enables [[swetismic chords]].

	See [[Rank-4 temperament #Swetismic (540/539)]] for the rank-4 swetismic temperament. See [[Swetismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.		See [[Rank-4 temperament #Swetismic (540/539)]] for the rank-4 swetismic temperament. See [[Swetismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

Francium: Added color name

2023-09-07T16:20:41Z

Added color name

← Older revision		Revision as of 16:20, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = swetisma		\| Name = swetisma
			\| Color name = 1urry-2, lururuyo negative 2nd
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: Rework

2023-09-07T03:00:25Z

Rework

← Older revision		Revision as of 03:00, 7 September 2023
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) ~~or to~~ ([[99/98]])/([[121/120]]). ~~Thus, tempering~~ any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[~~Big Brother~~]]. More generally, tempering 540/539 leads to [[swetismic temperaments]].		'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup> or to ([[12/11]])([[15/14]])/([[7/6]]). In terms of commas, it is ([[99/98]])/([[121/120]]).

			== Temperaments ==
			Tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[big brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]] and enables [[swetismic chords]].

			See [[Rank-4 temperament #Swetismic (540/539)]] for the rank-4 swetismic temperament. See [[Swetismic temperaments]] for a collection of rank-3 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
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	== See also ==		== See also ==
	* [[Swetismic chords]]
	* [[Rank-4 temperament #Swetismic (540/539)]]
	* [[Swetismic temperaments]], a collection of rank-3 temperaments where it is tempered out
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

FloraC: +naming

2023-05-13T13:22:33Z

+naming

← Older revision		Revision as of 13:22, 13 May 2023
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	}}		}}
	'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) or to ([[99/98]])/([[121/120]]). Thus, tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]].		'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) or to ([[99/98]])/([[121/120]]). Thus, tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]].

			== Etymology ==
			The swetisma was named by [[Manuel Op de Coul]] no later than 2004, after the Dutch ethnomusicologist Wouter Swets<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10195.html#10199 Yahoo! Tuning Group \| ''Comma names'']</ref>.

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

			== Notes ==

	[[Category:Swetismic]]		[[Category:Swetismic]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:15:58Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:15, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 540/539~~
	~~\| Monzo = 2 3 1 -2 -1~~
	~~\| Cents = 3.20896~~
	\| Name = swetisma		\| Name = swetisma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}
	'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) or to ([[99/98]])/([[121/120]]). Thus, tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]].		'''540/539''', the '''swetisma''', is a [[comma]] in the [[11-limit]], equal to ([[15/11]])/([[7/6]])<sup>2</sup>, to ([[12/11]])([[15/14]])/([[7/6]]) or to ([[99/98]])/([[121/120]]). Thus, tempering any two of 99/98, 121/120 and 540/539 will result in the third of the three being tempered, resulting in the rank-3 temperament [[Big Brother]]. More generally, tempering 540/539 leads to [[swetismic temperaments]].
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:11-limit]]~~
	~~[[Category:Unnoticeable commas]]~~
	~~[[Category:Superparticular]]~~
	[[Category:Swetismic]]		[[Category:Swetismic]]

Fredg999: Misc. edits, categories

2022-04-27T19:36:21Z

Misc. edits, categories

← Older revision		Revision as of 19:36, 27 April 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 540/539		\| Ratio = 540/539
	\| Monzo = 2 3 1 -2 -1		\| Monzo = 2 3 1 -2 -1
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	* [[Category:11-limit]]		[[Category:11-limit]]
	* [[Category:Unnoticeable commas]]		[[Category:Unnoticeable commas]]
	* [[Category:Ratio]]		[[Category:Superparticular]]
	* [[Category:Superparticular]]		[[Category:Swetismic]]
	* [[Category:Swetismic]]

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

2022-03-20T22:01:53Z

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:Ratio]]		* [[Category:Ratio]]
	* [[Category:Superparticular]]		* [[Category:Superparticular]]
	* [[Category:Swetismic]]		* [[Category:Swetismic]]

FloraC: -typo

2021-10-06T22:58:17Z

-typo

← Older revision		Revision as of 22:58, 6 October 2021
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	* [[Swetismic chords]]		* [[Swetismic chords]]
	* [[Rank-4 temperament #Swetismic (540/539)]]		* [[Rank-4 temperament #Swetismic (540/539)]]
	* [[Swetismic temperaments]], a collection of rank-4 temperaments where it is tempered out		* [[Swetismic temperaments]], a collection of rank-3 temperaments where it is tempered out
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]