279edo - Revision history

Overthink: /* Subsets and supersets */ 1395edo

2026-04-17T19:31:13Z

Subsets and supersets: 1395edo

← Older revision		Revision as of 19:31, 17 April 2026
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 279 factors into {{factorization\|279}}, 279edo has subset edos {{EDOs\| 3, 9, 31, and 93 }}.		Since 279 factors into {{factorization\|279}}, 279edo has subset edos {{EDOs\| 3, 9, 31, and 93 }}. [[1395edo]], which divides its step into five, makes for a strong higher-limit system.

ArrowHead294 at 22:38, 20 February 2025

2025-02-20T22:38:06Z

← Older revision		Revision as of 22:38, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	279edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. It [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| -64 36 3 }} in the 5-limit, as well as {{monzo\| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.		279edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. It [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| -64 36 3 }} in the 5-limit, as well as {{monzo\| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.

FloraC: Note on the incompatibility with the patent val

2024-03-08T06:20:42Z

Note on the incompatibility with the patent val

← Older revision		Revision as of 06:20, 8 March 2024
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	279edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. It [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| -64 36 3 }} in the 5-limit, as well as {{monzo\| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.		279edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. It [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| -64 36 3 }} in the 5-limit, as well as {{monzo\| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.

	5 steps of 279edo ~~closely represent~~ the syntonic comma, [[81/80]].		5 steps of 279edo is close to the syntonic comma, [[81/80]]. Unfortunately, it is not compatible with the patent val, but the 279c val.

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Rework

2024-03-08T06:15:12Z

Rework

← Older revision		Revision as of 06:15, 8 March 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''279edo''' is the [[~~EDO~~\|equal division of the octave]] into 279 parts of 4.3011 cents each.~~		{{EDO intro}}

	== ~~Theory~~ ==		279edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. It [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| -64 36 3 }} in the 5-limit, as well as {{monzo\| -68 18 17 }} (vavoom comma); [[3136/3125]], [[19683/19600]], and [[823543/819200]] in the 7-limit. Using the [[patent val]], it tempers out [[441/440]], [[5632/5625]], 24057/24010, and 35937/35840 in the 11-limit; [[351/350]], [[676/675]], [[1716/1715]], [[4225/4224]], and [[6656/6655]] in the 13-limit.

			5 steps of 279edo closely represent the syntonic comma, [[81/80]].

			=== Prime harmonics ===
	{{Harmonics in equal\|279}}		{{Harmonics in equal\|279}}
	~~[[Category:Equal divisions of the octave\|###]]~~
	It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.

	~~5 steps of~~ 279edo ~~closely represent the syntonic comma~~, ~~[[81/80]]~~.~~<!-- 3-digit number -->~~		=== Subsets and supersets ===
			Since 279 factors into {{factorization\|279}}, 279edo has subset edos {{EDOs\| 3, 9, 31, and 93 }}.

Plumtree: Infobox ET added

2022-10-04T21:46:27Z

Infobox ET added

← Older revision		Revision as of 21:46, 4 October 2022
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			{{Infobox ET}}
	'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each.		'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each.

Eliora at 12:33, 15 September 2022

2022-09-15T12:33:57Z

← Older revision		Revision as of 12:33, 15 September 2022
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	'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.		'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		== Theory ==
			{{Harmonics in equal\|279}}
			[[Category:Equal divisions of the octave\|###]]
			It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.

			5 steps of 279edo closely represent the syntonic comma, [[81/80]].<!-- 3-digit number -->

Fredg999 category edits: Sort key

2022-07-03T19:07:32Z

Sort key

← Older revision		Revision as of 19:07, 3 July 2022
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	'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.		'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:23Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
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	'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.		'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]

Xenllium: minor edit

2019-03-20T23:59:02Z

minor edit

← Older revision		Revision as of 23:59, 20 March 2019
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	'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> ~~(quartonic comma)~~ in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.		'''279edo''' is the [[EDO\|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and \|-64 36 3> in the 5-limit, as well as \|-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.

	[[Category:Edo]]		[[Category:Edo]]

Xenllium: Created page with "'''279edo''' is the equal division of the octave into 279 parts of 4.3011 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for..."

2019-03-20T23:58:36Z

Created page with "'''279edo''' is the equal division of the octave into 279 parts of 4.3011 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for..."

New page

'''279edo''' is the [[EDO|equal division of the octave]] into 279 parts of 4.3011 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 78732/78125 (sensipent comma) and |-64 36 3> (quartonic comma) in the 5-limit, as well as |-68 18 17> (vavoom comma); 3136/3125, 19683/19600, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 441/440, 5632/5625, 24057/24010, and 35937/35840 in the 11-limit; 351/350, 676/675, 1716/1715, 4225/4224, and 6656/6655 in the 13-limit.

[[Category:Edo]]