42ed11 - Revision history

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

2025-08-01T19:22:02Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:22, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edonoi]]~~

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

2025-08-01T15:35:38Z

Removing from Category:Ed11 using Cat-a-lot

← Older revision		Revision as of 15:35, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Ed11]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: Improve linking, todo

2024-12-23T01:31:29Z

Improve linking, todo

← Older revision		Revision as of 01:31, 23 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed11\|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo\|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[~~11-odd-limit\|11-~~integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the ~~[[9-odd-limit\|~~10-integer-limit]].		'''[[Ed11\|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo\|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the 11-[[integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the 10-integer-limit.

	{\| class="wikitable"		{\| class="wikitable"
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	* [[40ed10\|40ED10]] - relative ED10		* [[40ed10\|40ED10]] - relative ED10

			{{todo\|expand}}
	[[Category:Ed11]]		[[Category:Ed11]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T20:55:08Z

Infobox ET added

← Older revision		Revision as of 20:55, 5 October 2022
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			{{Infobox ET}}
	'''[[Ed11\|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo\|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit\|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit\|10-integer-limit]].		'''[[Ed11\|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo\|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit\|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit\|10-integer-limit]].

Xenllium at 11:29, 27 November 2021

2021-11-27T11:29:33Z

← Older revision		Revision as of 11:29, 27 November 2021
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	== Regular temperaments ==		== Regular temperaments ==
	{{See also\|~~16ed5/2 #Regular temperaments~~}}		{{See also\| Quintaleap family }}

	42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''[[~~Marvel temperaments~~ #Quintapole\|quintapole]]'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.		42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''[[Quintaleap family #Quintapole\|quintapole]]'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.

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

Xenllium at 13:03, 16 October 2021

2021-10-16T13:03:52Z

← Older revision		Revision as of 13:03, 16 October 2021
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	\|}		\|}

	== ~~42ed11 as a generator~~ ==		== Regular temperaments ==
	{{See also\|16ed5/2 #~~16ed5/2 as a generator~~}}		{{See also\|16ed5/2 #Regular temperaments}}

	42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''[[Marvel temperaments #Quintapole\|quintapole]]'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.		42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''[[Marvel temperaments #Quintapole\|quintapole]]'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.

Xenllium at 12:03, 9 September 2021

2021-09-09T12:03:34Z

← Older revision		Revision as of 12:03, 9 September 2021
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	{{See also\|16ed5/2 #16ed5/2 as a generator}}		{{See also\|16ed5/2 #16ed5/2 as a generator}}

	42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''quintapole'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.		42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''[[Marvel temperaments #Quintapole\|quintapole]]'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.

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

Xenllium at 12:35, 17 July 2021

2021-07-17T12:35:13Z

← Older revision		Revision as of 12:35, 17 July 2021
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	'''[[Ed11\|Division of the 11th harmonic]] into 42 equal parts''' (~~42ed11~~) is related to [[12edo\|12 ~~edo~~]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit\|11-integer-limit]], but not to the 12-integer-limit. In comparison, ~~12edo~~ is only consistent up to the [[9-odd-limit\|10-integer-limit]].		'''[[Ed11\|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo\|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit\|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit\|10-integer-limit]].

	{\| class="wikitable"		{\| class="wikitable"
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	\|}		\|}

	==See also==		== 42ed11 as a generator ==
			{{See also\|16ed5/2 #16ed5/2 as a generator}}

			42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''quintapole'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.

			== See also ==
	* [[12edo\|12EDO]] - relative EDO		* [[12edo\|12EDO]] - relative EDO
	* [[19ed3\|19ED3]] - relative EDT		* [[19ed3\|19ED3]] - relative EDT

Xenllium at 09:13, 14 May 2021

2021-05-14T09:13:15Z

← Older revision		Revision as of 09:13, 14 May 2021
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	\| \| 1		\| \| 1
	\| \| 98.8409		\| \| 98.8409
	\| \|		\| \| 18/17
	\| \|		\| \|
	\|-		\|-
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	\| \| 3		\| \| 3
	\| \| 296.5227		\| \| 296.5227
	\| \|		\| \| 19/16
	\| \|		\| \|
	\|-		\|-
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	\| \| 6		\| \| 6
	\| \| 593.0454		\| \| 593.0454
	\| \|		\| \| 45/32
	\| \|		\| \|
	\|-		\|-
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	\| \| 790.7272		\| \| 790.7272
	\| \|		\| \| 30/19
	\| \|		\| \|
	\|-		\|-
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	\| \| 10		\| \| 10
	\| \| 988.4090		\| \| 988.4090
	\| \|		\| \| 16/9
	\| \|		\| \|
	\|-		\|-
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	\| \| 15		\| \| 15
	\| \| 1482.6136		\| \| 1482.6136
	\| \|		\| \| 33/14
	\| \|		\| \|
	\|-		\|-
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	\| \| 2668.7044		\| \| 2668.7044
	\| \|		\| \| 14/3
	\| \|		\| \|
	\|-		\|-
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	==See also==		==See also==
	* [[12edo\|12EDO]]		* [[12edo\|12EDO]] - relative EDO
	* [[19ed3\|~~12ED3~~]]		* [[19ed3\|19ED3]] - relative EDT
	* [[28ed5\|28ED5]]		* [[28ed5\|28ED5]] - relative ED5
	* [[31ed6\|31ED6]]		* [[31ed6\|31ED6]] - relative ED6
	* [[34ed7\|34ED7]]		* [[34ed7\|34ED7]] - relative ED7
	* [[40ed10\|40ED10]]		* [[40ed10\|40ED10]] - relative ED10

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

Xenllium: Created page with "'''Division of the 11th harmonic into 42 equal parts''' (42ed11) is related to 12 edo, but with the 11/1 rather than the 2/1 being just. The octave is about..."

2021-05-14T03:55:40Z

Created page with "'''Division of the 11th harmonic into 42 equal parts''' (42ed11) is related to 12 edo, but with the 11/1 rather than the 2/1 being just. The octave is about..."

New page

'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' (42ed11) is related to [[12edo|12 edo]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12edo is only consistent up to the [[9-odd-limit|10-integer-limit]].

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 98.8409
| |
| |
|-
| | 2
| | 197.6818
| |
| |
|-
| | 3
| | 296.5227
| |
| |
|-
| | 4
| | 395.3636
| |
| |
|-
| | 5
| | 494.2045
| | 4/3
| |
|-
| | 6
| | 593.0454
| |
| |
|-
| | 7
| | 691.8863
| |
| |
|-
| | 8
| | 790.7272
| |
| |
|-
| | 9
| | 889.5681
| |
| |
|-
| | 10
| | 988.4090
| |
| |
|-
| | 11
| | 1087.2499
| | 15/8
| |
|-
| | 12
| | 1186.0908
| |
| |
|-
| | 13
| | 1284.9317
| | 21/10
| |
|-
| | 14
| | 1383.7726
| |
| |
|-
| | 15
| | 1482.6136
| |
| |
|-
| | 16
| | 1581.4545
| | 5/2
| |
|-
| | 17
| | 1680.2954
| |
| |
|-
| | 18
| | 1779.1363
| |
| |
|-
| | 19
| | 1877.9772
| |
| |
|-
| | 20
| | 1976.8181
| | 22/7
| |
|-
| | 21
| | 2075.6590
| |
| |
|-
| | 22
| | 2174.4999
| | 7/2
| |
|-
| | 23
| | 2273.3408
| |
| |
|-
| | 24
| | 2372.1817
| |
| |
|-
| | 25
| | 2471.0226
| |
| |
|-
| | 26
| | 2569.8635
| | 22/5
| |
|-
| | 27
| | 2668.7044
| |
| |
|-
| | 28
| | 2767.5453
| |
| |
|-
| | 29
| | 2866.3862
| | 110/21
| |
|-
| | 30
| | 2965.2271
| |
| |
|-
| | 31
| | 3064.0680
| |
| |
|-
| | 32
| | 3162.9089
| |
| |
|-
| | 33
| | 3261.7498
| |
| |
|-
| | 34
| | 3360.5907
| |
| |
|-
| | 35
| | 3459.4316
| |
| |
|-
| | 36
| | 3558.2725
| |
| |
|-
| | 37
| | 3657.1134
| | 33/4
| |
|-
| | 38
| | 3755.9543
| |
| |
|-
| | 39
| | 3854.7952
| |
| |
|-
| | 40
| | 3953.6361
| |
| |
|-
| | 41
| | 4052.4770
| |
| |
|-
| | 42
| | 4151.3179
| | '''exact [[11/1]]'''
| | [[11/8|paramajor fourth]] plus three octaves
|}

==See also==
* [[12edo|12EDO]]
* [[19ed3|12ED3]]
* [[28ed5|28ED5]]
* [[31ed6|31ED6]]
* [[34ed7|34ED7]]
* [[40ed10|40ED10]]

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