729/728 - Revision history

Overthink: Added another interpretation of comma

2025-10-30T03:45:55Z

Added another interpretation of comma

← Older revision		Revision as of 03:45, 30 October 2025
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	\| Color name = L3ur-2, lathuru negative 2nd		\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[square superparticular\|square]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[square superparticular\|square]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]], or the amount by which the sum of [[9/8]] and [[9/7]] exceeds [[13/9]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

	== Temperaments ==		== Temperaments ==

Squib at 00:31, 17 June 2025

2025-06-17T00:31:15Z

← Older revision		Revision as of 00:31, 17 June 2025
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	\| Color name = L3ur-2, lathuru negative 2nd		\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[square superparticular\|square]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

	== Temperaments ==		== Temperaments ==

Squib: /* Temperaments */added link to catakleismic

2025-06-15T16:46:06Z

Temperaments: added link to catakleismic

← Older revision		Revision as of 16:46, 15 June 2025
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.		Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament and [[catakleismic]].

	[[Category:Squbemic]]		[[Category:Squbemic]]
	[[Category:Commas with unknown etymology]]		[[Category:Commas with unknown etymology]]

BudjarnLambeth at 03:11, 4 November 2024

2024-11-04T03:11:49Z

← Older revision		Revision as of 03:11, 4 November 2024
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	[[Category:Squbemic]]		[[Category:Squbemic]]
			[[Category:Commas with unknown etymology]]

FloraC: The original intention was to only list superparticular relations so the one with 64/63 is now moved to another group

2024-10-24T12:29:40Z

The original intention was to only list superparticular relations so the one with 64/63 is now moved to another group

← Older revision		Revision as of 12:29, 24 October 2024
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	\| Color name = L3ur-2, lathuru negative 2nd		\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following comma differences: ~~([[64/63]])/([[6656/6561]]),~~ ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

			== Temperaments ==
	Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.		Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.

	[[Category:Squbemic]]		[[Category:Squbemic]]

Jerdle: Added another difference.

2024-10-24T11:16:19Z

Added another difference.

← Older revision		Revision as of 11:16, 24 October 2024
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	\| Color name = L3ur-2, lathuru negative 2nd		\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following comma differences: ([[64/63]])/([[6656/6561]]), ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

	Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.		Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.

	[[Category:Squbemic]]		[[Category:Squbemic]]

FloraC: Fix wording

2024-06-22T13:22:21Z

Fix wording

← Older revision		Revision as of 13:22, 22 June 2024
Line 3:		Line 3:
	\| Color name = L3ur-2, lathuru negative 2nd		\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as ~~the difference between~~ the following ~~commas~~: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

	Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.		Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.

	[[Category:Squbemic]]		[[Category:Squbemic]]

FloraC: +more important identities

2024-06-22T13:12:50Z

+more important identities

← Older revision		Revision as of 13:12, 22 June 2024
Line 3:		Line 3:
	\| Color name = L3ur-2, lathuru negative 2nd		\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It ~~often~~ arises as the difference between ~~simpler~~ commas: ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the difference between the following commas: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

	Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.		Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.

	[[Category:Squbemic]]		[[Category:Squbemic]]

Francium: Added color name

2023-09-07T18:20:17Z

Added color name

← Older revision		Revision as of 18:20, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = squbema		\| Name = squbema
			\| Color name = L3ur-2, lathuru negative 2nd
	\| Comma = yes		\| Comma = yes
	}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It often arises as the difference between simpler commas: ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It often arises as the difference between simpler commas: ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

FloraC: Rework

2023-06-20T07:22:25Z

Rework

← Older revision		Revision as of 07:22, 20 June 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Squbema~~		\| Name = squbema
	\| Comma = yes		\| Comma = yes
	}} The ~~Squbema~~, 729/728, is a superparticular 13-limit ~~comma which~~ is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by 13-limit [[~~Amity~~]] temperament.		}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It often arises as the difference between simpler commas: ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

			Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.

			[[Category:Squbemic]]