275/273 - Revision history

FloraC: Cleanup

2026-08-24T05:18:47Z

Cleanup

← Older revision		Revision as of 05:18, 24 August 2026
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
			In [[just intonation]], '''275/273''', the '''gassorma''', is a [[small comma\|small]] no-2's [[13-limit]] [[comma]] measuring about 12.6 [[cent]]s. It can be expressed as ([[5/3]])/(([[13/11]])⋅([[7/5]])), (5/3)/(([[14/11]])⋅([[13/10]])), ([[10/7]])/(([[13/11]])⋅([[6/5]])) and (10/7)/(([[12/11]])⋅(13/10)), among other expressions.

	In [[just intonation]], '''275/273''' is a no-twos 13-limit comma, '''gassorma''', measuring about 12.6¢. It can be expressed as ([[5/3]]) / (([[13/11]])([[7/5]])), (5/3) / (([[14/11]])([[13/10]])), ([[10/7]]) / (([[13/11]])([[6/5]])) and (10/7) / (([[12/11]])(13/10)), among other expressions.		In terms of commas, it is the difference between [[50/49]] and [[78/77]], between [[66/65]] and [[126/125]], between [[99/98]] and [[351/350]], between [[100/99]] and [[364/363]], and between [[121/120]] and [[1001/1000]]. It factors into ([[225/224]])⋅([[352/351]]).

	In terms of commas, it is the difference between [[50/49]] and [[78/77]], between [[66/65]] and [[126/125]], between [[99/98]] and [[351/350]], between [[100/99]] and [[364/363]], and between [[121/120]] and [[1001/1000]]. It factors into ([[225/224]])([[352/351]]).

	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{EDOs\| 10, 15, 22, 26, 29, 31, 41, 53, 94}} and others; in such systems, 7/5 and [[55/39]] are equated.		[[Tempering out]] this comma in the 13-limit results in the rank-5 '''gassormic''' temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{EDOs\| 10, 15, 22, 26, 29, 31, 41, 53, 94 }} and others; in such systems, 7/5 and [[55/39]] are equated.

	94edo has a step size close to this, but it tempers it out by patent val.		94edo has a step size close to this, but it tempers it out by patent val.

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

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

Eufalesio: Little trivia

2026-04-28T16:43:36Z

Little trivia

← Older revision		Revision as of 16:43, 28 April 2026
Line 10:		Line 10:

	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{EDOs\| 10, 15, 22, 26, 29, 31, 41, 53 }} and others; in such systems, 7/5 and [[55/39]] are equated.		[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{EDOs\| 10, 15, 22, 26, 29, 31, 41, 53, 94}} and others; in such systems, 7/5 and [[55/39]] are equated.

			94edo has a step size close to this, but it tempers it out by patent val.

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

BudjarnLambeth at 23:14, 15 November 2024

2024-11-15T23:14:22Z

← Older revision		Revision as of 23:14, 15 November 2024
Line 17:		Line 17:

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

FloraC: Expand

2023-09-05T13:40:29Z

Expand

← Older revision		Revision as of 13:40, 5 September 2023
Line 5:		Line 5:
	}}		}}

	In [[just intonation]], '''275/273''' is a no-twos 13-limit comma, '''gassorma''', measuring about 12.6¢. It can be expressed as ([[5/3]]) / ([[13/11]] * [[7/5]]), (5/3) / ([[14/11]] * [[13/10]]), ([[10/7]]) / ([[13/11]] * [[6/5]]) and (10/7) / ([[12/11]] * 13/10), among other expressions. In terms of commas, it is the difference between [[50/49]] and [[78/77]].		In [[just intonation]], '''275/273''' is a no-twos 13-limit comma, '''gassorma''', measuring about 12.6¢. It can be expressed as ([[5/3]]) / (([[13/11]])([[7/5]])), (5/3) / (([[14/11]])([[13/10]])), ([[10/7]]) / (([[13/11]])([[6/5]])) and (10/7) / (([[12/11]])(13/10)), among other expressions.

			In terms of commas, it is the difference between [[50/49]] and [[78/77]], between [[66/65]] and [[126/125]], between [[99/98]] and [[351/350]], between [[100/99]] and [[364/363]], and between [[121/120]] and [[1001/1000]]. It factors into ([[225/224]])([[352/351]]).

	== Temperaments ==		== Temperaments ==

FloraC: Update the template

2023-05-08T07:21:09Z

Update the template

← Older revision		Revision as of 07:21, 8 May 2023
Line 8:		Line 8:

	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{~~Vals~~\| 10, 15, 22, 26, 29, 31, 41, 53 }} and others; in such systems, 7/5 and [[55/39]] are equated.		[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{EDOs\| 10, 15, 22, 26, 29, 31, 41, 53 }} and others; in such systems, 7/5 and [[55/39]] are equated.

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

TallKite at 03:01, 4 December 2022

2022-12-04T03:01:10Z

← Older revision		Revision as of 03:01, 4 December 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = gassorma		\| Name = gassorma
	\| Color name = ~~thuloruyoyo negative 2nd~~		\| Color name = 3u1oryy-2, Thuloruyoyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:44:24Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:44, 25 October 2022
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 275/273~~
	~~\| Monzo = 0 -1 2 -1 1 -1~~
	~~\| Cents = 12.63680~~
	\| Name = gassorma		\| Name = gassorma
	\| Color name = thuloruyoyo negative 2nd		\| Color name = thuloruyoyo negative 2nd
	\| ~~FJS name~~ = ~~d-2<sup>5, 5, 11</sup><sub>7, 13</sub>~~		\| Comma = yes
	}}		}}

Line 17:		Line 14:
	* [[Gassormic chords]]		* [[Gassormic chords]]

	~~[[Category:Rational intervals]]~~
	~~[[Category:13-limit]]~~
	~~[[Category:Small commas]]~~
	[[Category:Gassormic]]		[[Category:Gassormic]]

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 19:		Line 19:
	[[Category:Rational intervals]]		[[Category:Rational intervals]]
	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Gassormic]]		[[Category:Gassormic]]

Xenllium: Fixed typo

2022-01-16T00:56:28Z

Fixed typo

← Older revision		Revision as of 00:56, 16 January 2022
Line 11:		Line 11:

	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which ~~tempers~~ out this comma include {{Vals\| 10, 15, 22, 26, 29, 31, 41, 53 }} and others; in such systems, 7/5 and [[55/39]] are equated.		[[Tempering out]] this comma in the 13-limit results in the rank-5 gassormic temperament and enables [[gassormic chords]]. Equal temperaments which temper out this comma include {{Vals\| 10, 15, 22, 26, 29, 31, 41, 53 }} and others; in such systems, 7/5 and [[55/39]] are equated.

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

Xenllium: Fixed typo

2022-01-16T00:13:09Z

Fixed typo

← Older revision		Revision as of 00:13, 16 January 2022
Line 8:		Line 8:
	}}		}}

	In [[just intonation]], '''275/273''' is a no-twos 13-limit comma, '''gassorma''', measuring about 12.6¢. It can be expressed as ([[5/3]]) / ([[13/11]] * [[7/5]]), (5/3) / ([[14/11]] * [[13/10]]), ([[10/7]]) / ([[13/11]] * [[6/5]]) and (10/7) * ([[12/11]] * 13/10), among other expressions. In terms of commas, it is the difference between [[50/49]] and [[78/77]].		In [[just intonation]], '''275/273''' is a no-twos 13-limit comma, '''gassorma''', measuring about 12.6¢. It can be expressed as ([[5/3]]) / ([[13/11]] * [[7/5]]), (5/3) / ([[14/11]] * [[13/10]]), ([[10/7]]) / ([[13/11]] * [[6/5]]) and (10/7) / ([[12/11]] * 13/10), among other expressions. In terms of commas, it is the difference between [[50/49]] and [[78/77]].

	== Temperaments ==		== Temperaments ==
Line 17:		Line 17:
	* [[Gassormic chords]]		* [[Gassormic chords]]

			[[Category:Rational intervals]]
	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:Small comma]]		[[Category:Small comma]]
	[[Category:Gassormic]]		[[Category:Gassormic]]