61ed7 - Revision history

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

2025-08-01T19:23:12Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:23, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edonoi]]~~

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

2025-08-01T18:42:37Z

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]]

Lériendil at 04:03, 4 April 2025

2025-04-04T04:03:41Z

← Older revision		Revision as of 04:03, 4 April 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[~~Hemifamity temperaments~~\|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].		'''[[Ed7\|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Escapade family#Alphaquarter\|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].

	== Intervals ==		== Intervals ==

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

2024-12-23T00:37:05Z

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 00:37, 23 December 2024
Line 2:		Line 2:
	'''[[Ed7\|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Hemifamity temperaments\|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].		'''[[Ed7\|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Hemifamity temperaments\|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].

	{\| class="wikitable"		== Intervals ==
			{\| class="wikitable mw-collapsible"
			\|+ Intervals of 61ed7
	\|-		\|-
	! \| degree		! \| degree
Line 319:		Line 321:
	\| \| [[7/4\|harmonic seventh]] plus two octaves		\| \| [[7/4\|harmonic seventh]] plus two octaves
	\|}		\|}

			== Harmonics ==
			{{Harmonics in equal\|61\|7\|1}}
			{{Harmonics in equal\|61\|7\|1\|collapsed=1\|start=12}}

	== Music ==		== Music ==
	* [https://www.youtube.com/watch?v=FcF2wKqBiCs A Gift (a day late, i am ashamed)] by Nicolai Pulley		* [https://www.youtube.com/watch?v=FcF2wKqBiCs A Gift (a day late, i am ashamed)] by [[Nicolai Pulley]]

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

Francium: Added music section

2023-04-28T15:59:02Z

Added music section

← Older revision		Revision as of 15:59, 28 April 2023
Line 319:		Line 319:
	\| \| [[7/4\|harmonic seventh]] plus two octaves		\| \| [[7/4\|harmonic seventh]] plus two octaves
	\|}		\|}

			== Music ==
			* [https://www.youtube.com/watch?v=FcF2wKqBiCs A Gift (a day late, i am ashamed)] by Nicolai Pulley

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

Plumtree: Infobox ET added

2022-10-05T20:33:04Z

Infobox ET added

← Older revision		Revision as of 20:33, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Hemifamity temperaments\|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].		'''[[Ed7\|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Hemifamity temperaments\|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].

Xenllium at 00:10, 26 January 2019

2019-01-26T00:10:21Z

← Older revision		Revision as of 00:10, 26 January 2019
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	\| \| 5		\| \| 5
	\| \| 276.1333		\| \| 276.1333
	\| \|		\| \| 88/75
	\| \|		\| \|
	\|-		\|-
	\| \| 6		\| \| 6
	\| \| 331.3599		\| \| 331.3599
	\| \|		\| \| 40/33
	\| \|		\| \|
	\|-		\|-
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	\| \| 8		\| \| 8
	\| \| 441.8132		\| \| 441.8132
	\| \|		\| \| (49/38)
	\| \|		\| \|
	\|-		\|-
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	\| \| 11		\| \| 11
	\| \| 607.4932		\| \| 607.4932
	\| \| 91/64, [[64/45]]		\| \| (91/64), [[64/45]]
	\| \|		\| \|
	\|-		\|-
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	\| \| 13		\| \| 13
	\| \| 717.9465		\| \| 717.9465
	\| \|		\| \| 50/33
	\| \|		\| \|
	\|-		\|-
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	\| \| 26		\| \| 26
	\| \| 1435.8930		\| \| 1435.8930
	\| \|		\| \| 55/24
	\| \|		\| \|
	\|-		\|-
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	\| \| 29		\| \| 29
	\| \| 1601.5730		\| \| 1601.5730
	\| \|		\| \| [[63/50\|63/25]]
	\| \|		\| \|
	\|-		\|-
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	\| \| 40		\| \| 40
	\| \| 2209.0662		\| \| 2209.0662
	\| \| [[34/19\|68/19]]		\| \| ([[34/19\|68/19]])
	\| \|		\| \|
	\|-		\|-
	\| \| 41		\| \| 41
	\| \| 2264.2928		\| \| 2264.2928
	\| ~~\| [[50/27~~\|100/27]]		\| \| 100/27
	\| \|		\| \|
	\|-		\|-
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	\| \| 44		\| \| 44
	\| \| 2429.9728		\| \| 2429.9728
	\| \| 57/14, [[56/55\|224/55]], ~~[[55/54\|~~110/27]]		\| \| (57/14), [[56/55\|224/55]], 110/27
	\| \|		\| \|
	\|-		\|-
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	\| \| 50		\| \| 50
	\| \| 2761.3327		\| \| 2761.3327
	\| \| [[16/13\|64/13]]		\| \| ([[16/13\|64/13]])
	\| \|		\| \|
	\|-		\|-
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	\| \| 53		\| \| 53
	\| \| 2927.0127		\| \| 2927.0127
	\| \| [[19/14\|38/7]]		\| \| ([[19/14\|38/7]])
	\| \|		\| \|
	\|-		\|-
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	\| \| 57		\| \| 57
	\| \| 3147.9193		\| \| 3147.9193
	\| \| [[20/13\|80/13]]		\| \| ([[20/13\|80/13]])
	\| \|		\| \|
	\|-		\|-
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	\| \| 60		\| \| 60
	\| \| 3313.5993		\| \| 3313.5993
	\| \| [[22/13\|88/13]]		\| \| ([[22/13\|88/13]])
	\| \|		\| \|
	\|-		\|-

Xenllium: Created page with "'''Division of the 7th harmonic into 61 equal parts''' (61ed7) is related to the alphaquarter temperament, which tempers out 3025/3024, 400..."

2019-01-23T11:20:35Z

Created page with "'''Division of the 7th harmonic into 61 equal parts''' (61ed7) is related to the alphaquarter temperament, which tempers out 3025/3024, 400..."

New page

'''[[Ed7|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Hemifamity temperaments|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]].

{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 55.2267
| | [[33/32]]
| |
|-
| | 2
| | 110.4533
| | [[16/15]]
| |
|-
| | 3
| | 165.6800
| | [[11/10]]
| |
|-
| | 4
| | 220.9066
| | [[25/22]]
| |
|-
| | 5
| | 276.1333
| |
| |
|-
| | 6
| | 331.3599
| |
| |
|-
| | 7
| | 386.5866
| | [[5/4]]
| |
|-
| | 8
| | 441.8132
| |
| |
|-
| | 9
| | 497.0399
| | [[4/3]]
| |
|-
| | 10
| | 552.2665
| | [[11/8]]
| |
|-
| | 11
| | 607.4932
| | 91/64, [[64/45]]
| |
|-
| | 12
| | 662.7199
| | [[22/15]]
| |
|-
| | 13
| | 717.9465
| |
| |
|-
| | 14
| | 773.1732
| | [[25/16]]
| |
|-
| | 15
| | 828.3998
| |
| |
|-
| | 16
| | 883.6265
| | [[5/3]]
| |
|-
| | 17
| | 938.8531
| | 55/32
| |
|-
| | 18
| | 994.0798
| | [[16/9]]
| |
|-
| | 19
| | 1049.3064
| | [[11/6]]
| |
|-
| | 20
| | 1104.5331
| |
| |
|-
| | 21
| | 1159.7597
| |
| |
|-
| | 22
| | 1214.9864
| |
| |
|-
| | 23
| | 1270.2130
| | [[25/24|25/12]]
| |
|-
| | 24
| | 1325.4397
| |
| |
|-
| | 25
| | 1380.6664
| | [[10/9|20/9]]
| |
|-
| | 26
| | 1435.8930
| |
| |
|-
| | 27
| | 1491.1197
| |
| |
|-
| | 28
| | 1546.3463
| |
| |
|-
| | 29
| | 1601.5730
| |
| |
|-
| | 30
| | 1656.7996
| |
| |
|-
| | 31
| | 1712.0263
| |
| |
|-
| | 32
| | 1767.2529
| | [[25/18|25/9]]
| |
|-
| | 33
| | 1822.4796
| |
| |
|-
| | 34
| | 1877.7062
| |
| |
|-
| | 35
| | 1932.9329
| |
| |
|-
| | 36
| | 1988.1596
| |
| |
|-
| | 37
| | 2043.3862
| | 88/27
| |
|-
| | 38
| | 2098.6129
| | 84/25
| |
|-
| | 39
| | 2153.8395
| |
| |
|-
| | 40
| | 2209.0662
| | [[34/19|68/19]]
| |
|-
| | 41
| | 2264.2928
| | [[50/27|100/27]]
| |
|-
| | 42
| | 2319.5195
| | [[21/11|42/11]]
| |
|-
| | 43
| | 2374.7461
| | [[63/32|63/16]]
| |
|-
| | 44
| | 2429.9728
| | 57/14, [[56/55|224/55]], [[55/54|110/27]]
| |
|-
| | 45
| | 2485.1994
| | [[21/20|21/5]]
| |
|-
| | 46
| | 2540.4261
| | ([[13/12|13/3]])
| |
|-
| | 47
| | 2595.6527
| |
| |
|-
| | 48
| | 2650.8794
| |
| |
|-
| | 49
| | 2706.1061
| | 105/22
| |
|-
| | 50
| | 2761.3327
| | [[16/13|64/13]]
| |
|-
| | 51
| | 2816.5594
| | [[14/11|56/11]]
| |
|-
| | 52
| | 2871.7860
| | [[21/16|21/4]]
| |
|-
| | 53
| | 2927.0127
| | [[19/14|38/7]]
| |
|-
| | 54
| | 2982.2393
| | [[7/5|28/5]]
| |
|-
| | 55
| | 3037.4660
| | ([[13/9|52/9]])
| |
|-
| | 56
| | 3092.6926
| |
| |
|-
| | 57
| | 3147.9193
| | [[20/13|80/13]]
| |
|-
| | 58
| | 3203.1459
| | 70/11
| |
|-
| | 59
| | 3258.3726
| | 105/16
| |
|-
| | 60
| | 3313.5993
| | [[22/13|88/13]]
| |
|-
| | 61
| | 3368.8259
| | '''exact [[7/1]]'''
| | [[7/4|harmonic seventh]] plus two octaves
|}

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