11ed6 - Revision history

BudjarnLambeth: Mathematical interest

2025-08-10T22:15:13Z

Mathematical interest

← Older revision		Revision as of 22:15, 10 August 2025
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	{{~~Niche~~}}		{{Mathematical interest}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

FloraC: /* Theory */ +subsets and supersets

2025-05-23T13:14:47Z

Theory: +subsets and supersets

← Older revision		Revision as of 13:14, 23 May 2025
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	{{Harmonics in equal\|11\|6\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|11\|6\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|11\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 11ed6 (continued)}}		{{Harmonics in equal\|11\|6\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 11ed6 (continued)}}

			=== Subsets and supersets ===
			11ed6 is the 5th [[prime equal division\|prime ed6]], following [[7ed6]] and before [[13ed6]], so it does not contain any nontrivial subset ed6's.

	== Intervals ==		== Intervals ==

FloraC: Mark as niche. Cleanup

2025-05-23T13:06:07Z

Mark as niche. Cleanup

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''11ED6''' is the [[Ed6|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by {{EDOs|17, 34, 149, 166, 183, 200, 217, and 234}} EDOs.
+{{ED intro}}
-==Related temperament==
+== Theory ==
-===2.3.11 subgroup 17&amp;183===
+ed6 corresponds to 4.2554…[[edo]]. It is related to the temperaments which temper out [[28561/28512]] and [[85293/85184]] in the [[13-limit]], which is [[support]]ed by edos {{EDOs| 17, 149, 166, 183, 200, 217, and 234}}.
 Comma: |-19 36 0 0 -11&gt;
@@ Line 12: / Line 23: @@
 EDOs: {{EDOs|17, 34, 166, 183, 200, 217, 366, 383, 400, 566}}
-===2.3.11.13 subgroup 17&amp;183===
+=== 2.3.11.13 subgroup 17 & 183 ===
 Commas: 28561/28512, 85293/85184
@@ Line 21: / Line 32: @@
 EDOs: {{EDOs|17, 34, 149, 166, 183, 200, 217, 234, 366}}
-== Intervals ==
+{{Todo| cleanup }}

FloraC: - redundant categories

2025-05-22T17:25:30Z

- redundant categories

← Older revision		Revision as of 17:25, 22 May 2025
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	\| collapsed = 1		\| collapsed = 1
	}}		}}

	~~[[Category:Ed6]]~~
	~~[[Category:Edonoi]]~~

BudjarnLambeth: Intervals, harmonics

2024-11-30T01:52:13Z

Intervals, harmonics

@@ Line 20: / Line 20: @@
 EDOs: {{EDOs|17, 34, 149, 166, 183, 200, 217, 234, 366}}
 [[Category:Ed6]]
 [[Category:Edonoi]]

Francium: linking EDOs

2023-11-10T15:12:50Z

linking EDOs

← Older revision		Revision as of 15:12, 10 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	'''11ED6''' is the [[Ed6\|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent\|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.		'''11ED6''' is the [[Ed6\|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent\|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by {{EDOs\|17, 34, 149, 166, 183, 200, 217, and 234}} EDOs.

	==Related temperament==		==Related temperament==
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	Mapping: [<1 -1 -5\|, <0 11 36\|]		Mapping: [<1 -1 -5\|, <0 11 36\|]

	EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566		EDOs: {{EDOs\|17, 34, 166, 183, 200, 217, 366, 383, 400, 566}}

	===2.3.11.13 subgroup 17&183===		===2.3.11.13 subgroup 17&183===
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	Mapping: [<1 -1 -5 -1\|, <0 11 36 20\|]		Mapping: [<1 -1 -5 -1\|, <0 11 36 20\|]

	EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366		EDOs: {{EDOs\|17, 34, 149, 166, 183, 200, 217, 234, 366}}

	[[Category:Ed6]]		[[Category:Ed6]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T20:34:24Z

Infobox ET added

← Older revision		Revision as of 20:34, 5 October 2022
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			{{Infobox ET}}
	'''11ED6''' is the [[Ed6\|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent\|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.		'''11ED6''' is the [[Ed6\|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent\|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.

Cmloegcmluin: map → mapping

2021-11-05T19:48:05Z

map → mapping

← Older revision		Revision as of 19:48, 5 November 2021
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	POTE generator: ~\|7 -13 0 0 4> = 281.9832		POTE generator: ~\|7 -13 0 0 4> = 281.9832

	~~Map~~: [<1 -1 -5\|, <0 11 36\|]		Mapping: [<1 -1 -5\|, <0 11 36\|]

	EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566		EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566
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	POTE generator: ~286/243 = 281.9821		POTE generator: ~286/243 = 281.9821

	~~Map~~: [<1 -1 -5 -1\|, <0 11 36 20\|]		Mapping: [<1 -1 -5 -1\|, <0 11 36 20\|]

	EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366		EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366

Xenllium: Created page with "'''11ED6''' is the equal division of the sixth harmonic into six parts of 281.9959 cents each, corresponding to 4.2554 edo. It is related to the temperame..."

2019-02-17T12:55:39Z

Created page with "'''11ED6''' is the equal division of the sixth harmonic into six parts of 281.9959 cents each, corresponding to 4.2554 edo. It is related to the temperame..."

New page

'''11ED6''' is the [[Ed6|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.

==Related temperament==
===2.3.11 subgroup 17&183===
Comma: |-19 36 0 0 -11>

POTE generator: ~|7 -13 0 0 4> = 281.9832

Map: [<1 -1 -5|, <0 11 36|]

EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566

===2.3.11.13 subgroup 17&183===
Commas: 28561/28512, 85293/85184

POTE generator: ~286/243 = 281.9821

Map: [<1 -1 -5 -1|, <0 11 36 20|]

EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366

[[Category:Ed6]]
[[Category:Edonoi]]