User:Xenllium/7ed11 - Revision history

FloraC: Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"

2025-08-20T16:53:46Z

Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"

← Older revision		Revision as of 16:53, 20 August 2025
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	{{Infobox ET}}		{{Infobox ET\|debug=1}}
	'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].		'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].

BudjarnLambeth: BudjarnLambeth moved page 7ed11 to User:Xenllium/7ed11: XW:NG

2025-08-10T22:21:01Z

BudjarnLambeth moved page 7ed11 to User:Xenllium/7ed11: XW:NG

← Older revision	Revision as of 22:21, 10 August 2025
(No difference)

BudjarnLambeth at 22:20, 10 August 2025

2025-08-10T22:20:42Z

← Older revision		Revision as of 22:20, 10 August 2025
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	~~{{niche}}~~
	{{Infobox ET}}		{{Infobox ET}}
	'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].		'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:23:19Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:23, 1 August 2025
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	EDOs: 2, 87, 89, 176g		EDOs: 2, 87, 89, 176g

	~~[[Category:Edonoi]]~~

Fredg999 category edits: Removing from Category:Ed11 using Cat-a-lot

2025-08-01T15:35:39Z

Removing from Category:Ed11 using Cat-a-lot

← Older revision		Revision as of 15:35, 1 August 2025
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	EDOs: 2, 87, 89, 176g		EDOs: 2, 87, 89, 176g

	~~[[Category:Ed11]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: {{niche}}

2025-05-03T23:52:13Z

← Older revision		Revision as of 23:52, 3 May 2025
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			{{niche}}
	{{Infobox ET}}		{{Infobox ET}}
	'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].		'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].

Plumtree: Infobox ET added

2022-10-05T20:58:40Z

Infobox ET added

← Older revision		Revision as of 20:58, 5 October 2022
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			{{Infobox ET}}
	'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].		'''7ED11''' is the [[Ed11\|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent\|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].

Cmloegcmluin: map → mapping

2021-11-05T19:47:23Z

map → mapping

← Older revision		Revision as of 19:47, 5 November 2021
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	POTE generator: ~45/32 = 593.168		POTE generator: ~45/32 = 593.168

	~~Map~~: [<1 9 -13 -14 0\|, <0 -15 31 34 7\|]		Mapping: [<1 9 -13 -14 0\|, <0 -15 31 34 7\|]

	EDOs: 2, 87, 89, 176, 263		EDOs: 2, 87, 89, 176, 263
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	POTE generator: ~45/32 = 593.156		POTE generator: ~45/32 = 593.156

	~~Map~~: [<1 9 -13 -14 0 21\|, <0 -15 31 34 7 -35\|]		Mapping: [<1 9 -13 -14 0 21\|, <0 -15 31 34 7 -35\|]

	EDOs: 2, 87, 89, 176, 263		EDOs: 2, 87, 89, 176, 263
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	POTE generator: ~24/17 = 593.165		POTE generator: ~24/17 = 593.165

	~~Map~~: [<1 9 -13 -14 0 21 12\|, <0 -15 31 34 7 -35 -16\|]		Mapping: [<1 9 -13 -14 0 21 12\|, <0 -15 31 34 7 -35 -16\|]

	EDOs: 2, 87, 89, 176g		EDOs: 2, 87, 89, 176g

Xenllium: Created page with "'''7ED11''' is the equal division of the 11th harmonic into seven parts of 593.0454 cents each. It is related to the temperament which tempers out 256/255, 2..."

2019-02-02T01:19:56Z

Created page with "'''7ED11''' is the equal division of the 11th harmonic into seven parts of 593.0454 cents each. It is related to the temperament which tempers out 256/255, 2..."

New page

'''7ED11''' is the [[Ed11|equal division of the 11th harmonic]] into seven parts of 593.0454 [[cent|cents]] each. It is related to the temperament which tempers out 256/255, 273/272, 364/363, 441/440, and 1690/1683 in the 17-limit, which is supported by [[2edo]], [[87edo]], and [[89edo]].

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 593.0454
| | [[45/32]], [[24/17]]
| |
|-
| | 2
| | 1186.0908
| | 240/121, 143/72
| |
|-
| | 3
| | 1779.1363
| | [[14/5]]
| |
|-
| | 4
| | 2372.1817
| | 55/14
| |
|-
| | 5
| | 2965.2271
| | [[18/13|72/13]]
| |
|-
| | 6
| | 3558.2725
| | 187/24, 352/45
| |
|-
| | 7
| | 4151.3179
| | '''exact [[11/1]]'''
| | [[11/8|undecimal fourth]] plus three octaves
|}

==Related temperament==
===11-limit 87&89===
Commas: 441/440, 3388/3375, 16384/16335

POTE generator: ~45/32 = 593.168

Map: [<1 9 -13 -14 0|, <0 -15 31 34 7|]

EDOs: 2, 87, 89, 176, 263

===13-limit 87&89===
Commas: 364/363, 441/440, 2197/2187, 3388/3375

POTE generator: ~45/32 = 593.156

Map: [<1 9 -13 -14 0 21|, <0 -15 31 34 7 -35|]

EDOs: 2, 87, 89, 176, 263

===17-limit 87&89===
Commas: 256/255, 273/272, 364/363, 441/440, 2025/2023

POTE generator: ~24/17 = 593.165

Map: [<1 9 -13 -14 0 21 12|, <0 -15 31 34 7 -35 -16|]

EDOs: 2, 87, 89, 176g

[[Category:Ed11]]
[[Category:Edonoi]]