25ed7 - Revision history

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

2025-08-01T19:21:48Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:21, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edonoi]]~~

Fredg999 category edits: Removing from Category:Ed7 using Cat-a-lot

2025-08-01T18:42:35Z

Removing from Category:Ed7 using Cat-a-lot

← Older revision		Revision as of 18:42, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Ed7]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: stub OR Todo:expand • add table or make collapsible if needed • add harmonics if missing • improve linking if needed • add subheadings if needed

2024-12-22T23:54:03Z

stub OR Todo:expand • add table or make collapsible if needed • add harmonics if missing • improve linking if needed • add subheadings if needed

← Older revision		Revision as of 23:54, 22 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.		'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.

	~~== Harmonics ==~~
	~~{{Harmonics in equal\|25\|7\|1}}~~

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable mw-collapsible"
			\|+ Intervals of 25ed7
	\|-		\|-
	! \| degree		! \| degree
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	\| \| [[7/4\|harmonic seventh]] plus two octaves		\| \| [[7/4\|harmonic seventh]] plus two octaves
	\|}		\|}

			== Harmonics ==
			{{Harmonics in equal\|25\|7\|1\|intervals=prime}}
			{{Harmonics in equal\|25\|7\|1\|intervals=prime\|collapsed=1\|start=12}}

	==25ed7 as a generator==		==25ed7 as a generator==
	25ed7 can also be thought of as a [[generator]] of the 23-limit temperament which tempers out 169/168, 176/175, 208/207, 221/220, 247/245, 256/255, and 361/360, which is a [[cluster temperament]] with nine clusters of notes in an octave. This temperament is supported by [[9edo]], [[71edo]] (using 71d val), [[80edo]], and [[89edo]] among others.		25ed7 can also be thought of as a [[generator]] of the 23-limit temperament which tempers out 169/168, 176/175, 208/207, 221/220, 247/245, 256/255, and 361/360, which is a [[cluster temperament]] with nine clusters of notes in an octave. This temperament is supported by [[9edo]], [[71edo]] (using 71d val), [[80edo]], and [[89edo]] among others.

			{{todo\|expand}}
	[[Category:Ed7]]		[[Category:Ed7]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: Harmonics table

2024-10-03T06:59:11Z

Harmonics table

← Older revision		Revision as of 06:59, 3 October 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo~~\|9 edo~~]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.		'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.

			== Harmonics ==
			{{Harmonics in equal\|25\|7\|1}}

			== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-

Plumtree: Infobox ET added

2022-10-05T20:30:44Z

Infobox ET added

← Older revision		Revision as of 20:30, 5 October 2022
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			{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo\|9 edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.		'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo\|9 edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.

Xenllium at 12:46, 11 January 2019

2019-01-11T12:46:58Z

← Older revision		Revision as of 12:46, 11 January 2019
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	\| \| 1		\| \| 1
	\| \| 134.7530		\| \| 134.7530
	\| \| [[27/25]]		\| \| ([[27/25]]), [[13/12]]
	\| \|		\| \|
	\|-		\|-
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	\| \| 6		\| \| 6
	\| \| 808.5182		\| \| 808.5182
	\| \| 147/92		\| \| (147/92)
	\| \|		\| \|
	\|-		\|-
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	\| \| 19		\| \| 19
	\| \| 2560.3077		\| \| 2560.3077
	\| \| 92/21		\| \| (92/21)
	\| \|		\| \|
	\|-		\|-
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	\| \| 24		\| \| 24
	\| \| 3234.0729		\| \| 3234.0729
	\| \| 175/27		\| \| 84/13, (175/27)
	\| \|		\| \|
	\|-		\|-
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	\| \| [[7/4\|harmonic seventh]] plus two octaves		\| \| [[7/4\|harmonic seventh]] plus two octaves
	\|}		\|}

			==25ed7 as a generator==
			25ed7 can also be thought of as a [[generator]] of the 23-limit temperament which tempers out 169/168, 176/175, 208/207, 221/220, 247/245, 256/255, and 361/360, which is a [[cluster temperament]] with nine clusters of notes in an octave. This temperament is supported by [[9edo]], [[71edo]] (using 71d val), [[80edo]], and [[89edo]] among others.

	[[Category:Ed7]]		[[Category:Ed7]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Xenllium at 07:01, 11 January 2019

2019-01-11T07:01:48Z

← Older revision		Revision as of 07:01, 11 January 2019
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	\| \| 6		\| \| 6
	\| \| 808.5182		\| \| 808.5182
	\| \|		\| \| 147/92
	\| \|		\| \|
	\|-		\|-
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	\| \| 9		\| \| 9
	\| \| 1212.7773		\| \| 1212.7773
	\| \|		\| \| 161/80
	\| \|		\| \|
	\|-		\|-
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	\| \| 16		\| \| 16
	\| \| 2156.0486		\| \| 2156.0486
	\| \|		\| \| 80/23
	\| \|		\| \|
	\|-		\|-
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	\| \| 19		\| \| 19
	\| \| 2560.3077		\| \| 2560.3077
	\| \|		\| \| 92/21
	\| \|		\| \|
	\|-		\|-

Xenllium at 06:55, 11 January 2019

2019-01-11T06:55:42Z

← Older revision		Revision as of 06:55, 11 January 2019
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	'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo\|9 edo]], but with the 7/1 rather than the 2/1 being just. The step size is about 134.7530 cents~~, corresponding to 8.9052 [[edo]]~~.		'''[[Ed7\|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo\|9 edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents.

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

Xenllium: Created page with "'''Division of the 7th harmonic into 25 equal parts''' (25ed7) is related to 9 edo, but with the 7/1 rather than the 2/1 being just. The step size is about 13..."

2019-01-11T06:53:11Z

Created page with "'''Division of the 7th harmonic into 25 equal parts''' (25ed7) is related to 9 edo, but with the 7/1 rather than the 2/1 being just. The step size is about 13..."

New page

'''[[Ed7|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo|9 edo]], but with the 7/1 rather than the 2/1 being just. The step size is about 134.7530 cents, corresponding to 8.9052 [[edo]].

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 134.7530
| | [[27/25]]
| |
|-
| | 2
| | 269.5061
| | [[7/6]]
| |
|-
| | 3
| | 404.2591
| | [[24/19]], 91/72
| |
|-
| | 4
| | 539.0121
| | [[15/11]]
| |
|-
| | 5
| | 673.7652
| | [[28/19]]
| |
|-
| | 6
| | 808.5182
| |
| |
|-
| | 7
| | 943.2713
| | [[19/11]]
| |
|-
| | 8
| | 1078.0243
| | [[28/15]]
| |
|-
| | 9
| | 1212.7773
| |
| |
|-
| | 10
| | 1347.5304
| | [[12/11|24/11]]
| |
|-
| | 11
| | 1482.2834
| | [[20/17|40/17]]
| |
|-
| | 12
| | 1617.0364
| | [[14/11|28/11]]
| |
|-
| | 13
| | 1751.7895
| | [[11/4]]
| |
|-
| | 14
| | 1886.5425
| | 119/40
| |
|-
| | 15
| | 2021.2955
| | 77/24
| |
|-
| | 16
| | 2156.0486
| |
| |
|-
| | 17
| | 2290.8016
| | [[15/4]]
| |
|-
| | 18
| | 2425.5547
| | 77/19
| |
|-
| | 19
| | 2560.3077
| |
| |
|-
| | 20
| | 2695.0607
| | [[19/16|19/4]]
| |
|-
| | 21
| | 2829.8138
| | 77/15
| |
|-
| | 22
| | 2964.5668
| | 72/13, 133/24
| |
|-
| | 23
| | 3099.3198
| | [[6/1]]
| |
|-
| | 24
| | 3234.0729
| | 175/27
| |
|-
| | 25
| | 3368.8259
| | '''exact [[7/1]]'''
| | [[7/4|harmonic seventh]] plus two octaves
|}

[[Category:Ed7]]
[[Category:Edonoi]]