5ed5/4 - 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
Line 300:		Line 300:
	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Equal-step tuning]]		[[Category:Equal-step tuning]]
	~~[[Category:Edonoi]]~~

BudjarnLambeth: Harmonics

2024-10-04T08:11:00Z

Harmonics

@@ Line 273: / Line 273: @@
 | | (5/4)<font style="vertical-align:super;font-size:0.8em;">13</font> = 1220703125/67108864
 |}
 ==5ED5/4 as a generator==

Plumtree: Infobox ET added

2022-10-05T20:13:49Z

Infobox ET added

← Older revision		Revision as of 20:13, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''5ED5/4''' is the [[Equal-step tuning\|equal division]] of the [[5/4\|just major third]] into five parts of 77.2627 [[cent\|cents]] each, corresponding to every second step of [[31edo]]. It is related to [[Carlos Alpha]] and the 7-limit temperaments which temper out 2100875/2097152 (including the [[Breedsmic temperaments\|tertiaseptal temperament]] and the [[Starling temperaments\|valentine temperament]]).		'''5ED5/4''' is the [[Equal-step tuning\|equal division]] of the [[5/4\|just major third]] into five parts of 77.2627 [[cent\|cents]] each, corresponding to every second step of [[31edo]]. It is related to [[Carlos Alpha]] and the 7-limit temperaments which temper out 2100875/2097152 (including the [[Breedsmic temperaments\|tertiaseptal temperament]] and the [[Starling temperaments\|valentine temperament]]).

Xenllium: /* 5ED5/4 as a generator */

2019-01-27T14:15:03Z

5ED5/4 as a generator

Show changes

Xenllium at 04:27, 26 January 2019

2019-01-26T04:27:08Z

← Older revision		Revision as of 04:27, 26 January 2019
Line 1,255:		Line 1,255:
	<sup>a</sup> in 17-limit POTE tuning		<sup>a</sup> in 17-limit POTE tuning

	[[Category:~~5/4~~]]		[[Category:Major third]]
	[[Category:Equal-step tuning]]		[[Category:Equal-step tuning]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Xenllium at 22:54, 24 January 2019

2019-01-24T22:54:16Z

← Older revision		Revision as of 22:54, 24 January 2019
Line 278:		Line 278:

	===Tertiaseptal===		===Tertiaseptal===
	Aside from 2100875/2097152, tertiaseptal temperament tempers out 2401/2400, 65625/65536, and 703125/702464 in the 7-limit. It can be described as the 31&171 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 243/242, 375/374, 441/440, 625/624, and 3584/3575.		Aside from 2100875/2097152, [[tertiaseptal]] temperament tempers out 2401/2400, 65625/65536, and 703125/702464 in the 7-limit. It can be described as the 31&171 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 243/242, 375/374, 441/440, 625/624, and 3584/3575.

	{\| class="wikitable"		{\| class="wikitable"
Line 789:		Line 789:

	===Tertia===		===Tertia===
	Aside from 2100875/2097152, tertia temperament tempers out 385/384, 1331/1323, and 1375/1372 in the 11-limit. It can be described as the 31&140 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 352/351, 385/384, 561/560, 625/624, and 715/714.		Aside from 2100875/2097152, [[tertiaseptal\|tertia]] temperament tempers out 385/384, 1331/1323, and 1375/1372 in the 11-limit. It can be described as the 31&140 temperament, and the step interval of 5ED5/4 (tuned between 256/245 and 68/65) can serve as its generator. In the 17-limit, it tempers out 352/351, 385/384, 561/560, 625/624, and 715/714.

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

Xenllium: /* 5ED5/4 as a generator */

2019-01-24T12:25:18Z

5ED5/4 as a generator

← Older revision		Revision as of 12:25, 24 January 2019
Line 839:		Line 839:
	\| \| 11		\| \| 11
	\| \| 848.8		\| \| 848.8
	\| \| 85/52, 80/49		\| \| 85/52, 80/49, 49/30
	\|-		\|-
	\| \| 12		\| \| 12
Line 927:		Line 927:
	\| \| 33		\| \| 33
	\| \| 146.4		\| \| 146.4
	\| \|		\| \| 49/45
	\|-		\|-
	\| \| 34		\| \| 34
Line 939:		Line 939:
	\| \| 36		\| \| 36
	\| \| 377.8		\| \| 377.8
	\| \|		\| \| 56/45
	\|-		\|-
	\| \| 37		\| \| 37
Line 951:		Line 951:
	\| \| 39		\| \| 39
	\| \| 609.3		\| \| 609.3
	\| \|		\| \| [[64/45]]
	\|-		\|-
	\| \| 40		\| \| 40
Line 983:		Line 983:
	\| \| 47		\| \| 47
	\| \| 26.6		\| \| 26.6
	\| \| [[65/64]], [[64/63]], 55/54		\| \| 78/77, [[65/64]], [[64/63]], 55/54
	\|-		\|-
	\| \| 48		\| \| 48
Line 995:		Line 995:
	\| \| 50		\| \| 50
	\| \| 258.1		\| \| 258.1
	\| \|		\| \| 65/56
	\|-		\|-
	\| \| 51		\| \| 51
Line 1,003:		Line 1,003:
	\| \| 52		\| \| 52
	\| \| 412.4		\| \| 412.4
	\| \|		\| \| 80/63
	\|-		\|-
	\| \| 53		\| \| 53
	\| \| 489.6		\| \| 489.6
	\| \|		\| \| 65/49
	\|-		\|-
	\| \| 54		\| \| 54
Line 1,019:		Line 1,019:
	\| \| 56		\| \| 56
	\| \| 721.1		\| \| 721.1
	\| \| 50/33		\| \| 50/33, 85/56
	\|-		\|-
	\| \| 57		\| \| 57
	\| \| 798.2		\| \| 798.2
	\| \|		\| \| 100/63
	\|-		\|-
	\| \| 58		\| \| 58
Line 1,035:		Line 1,035:
	\| \| 60		\| \| 60
	\| \| 1029.7		\| \| 1029.7
	\| \|		\| \| 136/75
	\|-		\|-
	\| \| 61		\| \| 61
	\| \| 1106.9		\| \| 1106.9
	\| \|		\| \| 91/48, 256/135
	\|-		\|-
	\| \| 62		\| \| 62
	\| \| 1184.1		\| \| 1184.1
	\| \|		\| \| 196/99, 208/105
	\|-		\|-
	\| \| 63		\| \| 63
Line 1,071:		Line 1,071:
	\| \| 69		\| \| 69
	\| \| 524.2		\| \| 524.2
	\| \|		\| \| 65/48
	\|-		\|-
	\| \| 70		\| \| 70
Line 1,095:		Line 1,095:
	\| \| 75		\| \| 75
	\| \| 987.2		\| \| 987.2
	\| \|		\| \| 136/77, 85/48
	\|-		\|-
	\| \| 76		\| \| 76
Line 1,103:		Line 1,103:
	\| \| 77		\| \| 77
	\| \| 1141.5		\| \| 1141.5
	\| \|		\| \| 85/44
	\|-		\|-
	\| \| 78		\| \| 78
	\| \| 18.7		\| \| 18.7
	\| \|		\| \| [[100/99]], 91/90, 85/84
	\|-		\|-
	\| \| 79		\| \| 79
Line 1,119:		Line 1,119:
	\| \| 81		\| \| 81
	\| \| 250.1		\| \| 250.1
	\| \|		\| \| 52/45
	\|-		\|-
	\| \| 82		\| \| 82
Line 1,127:		Line 1,127:
	\| \| 83		\| \| 83
	\| \| 404.5		\| \| 404.5
	\| \|		\| \| 91/72
	\|-		\|-
	\| \| 84		\| \| 84
	\| \| 481.6		\| \| 481.6
	\| \|		\| \| 119/90
	\|-		\|-
	\| \| 85		\| \| 85
	\| \| 558.8		\| \| 558.8
	\| \|		\| \| 112/81
	\|-		\|-
	\| \| 86		\| \| 86
Line 1,143:		Line 1,143:
	\| \| 87		\| \| 87
	\| \| 713.1		\| \| 713.1
	\| \|		\| \| 68/45
	\|-		\|-
	\| \| 88		\| \| 88
	\| \| 790.3		\| \| 790.3
	\| \|		\| \| 52/33, 128/81
	\|-		\|-
	\| \| 89		\| \| 89
	\| \| 867.4		\| \| 867.4
	\| \|		\| \| 119/72
	\|-		\|-
	\| \| 90		\| \| 90
	\| \| 944.6		\| \| 944.6
	\| \|		\| \| 140/81
	\|-		\|-
	\| \| 91		\| \| 91
	\| \| 1021.8		\| \| 1021.8
	\| \|		\| \| 65/36
	\|-		\|-
	\| \| 92		\| \| 92
Line 1,175:		Line 1,175:
	\| \| 95		\| \| 95
	\| \| 130.4		\| \| 130.4
	\| \|		\| \| 68/63
	\|-		\|-
	\| \| 96		\| \| 96
Line 1,235:		Line 1,235:
	\| \| 110		\| \| 110
	\| \| 87.8		\| \| 87.8
	\| \|		\| \| 104/99, [[256/243]]
	\|-		\|-
	\| \| 111		\| \| 111

Xenllium: /* 5ED5/4 as a generator */

2019-01-24T08:07:02Z

5ED5/4 as a generator

← Older revision		Revision as of 08:07, 24 January 2019
Line 803:		Line 803:
	\| \| 2		\| \| 2
	\| \| 154.3		\| \| 154.3
	\| \| '''[[12/11]]'''~~, 130/119~~, [[35/32]]		\| \| '''[[12/11]]''', [[35/32]]
	\|-		\|-
	\| \| 3		\| \| 3
Line 839:		Line 839:
	\| \| 11		\| \| 11
	\| \| 848.8		\| \| 848.8
	\| \|		\| \| 85/52, 80/49
	\|-		\|-
	\| \| 12		\| \| 12
Line 855:		Line 855:
	\| \| 15		\| \| 15
	\| \| 1157.4		\| \| 1157.4
	\| \| 39/20		\| \| 39/20, 88/45
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 34.6		\| \| 34.6
	\| \| 52/51, 51/50, [[50/49]], [[49/48]]		\| \| [[56/55]], 52/51, 51/50, [[50/49]], [[49/48]]
	\|-		\|-
	\| \| 17		\| \| 17
Line 899:		Line 899:
	\| \| 26		\| \| 26
	\| \| 806.2		\| \| 806.2
	\| \| 51/32		\| \| 35/22, 51/32
	\|-		\|-
	\| \| 27		\| \| 27
Line 955:		Line 955:
	\| \| 40		\| \| 40
	\| \| 686.5		\| \| 686.5
	\| \|		\| \| 52/35
	\|-		\|-
	\| \| 41		\| \| 41
Line 979:		Line 979:
	\| \| 46		\| \| 46
	\| \| 1149.5		\| \| 1149.5
	\| \|		\| \| 64/33, 68/35, [[35/18]]
	\|-		\|-
	\| \| 47		\| \| 47
	\| \| 26.6		\| \| 26.6
	\| \|		\| \| [[65/64]], [[64/63]], 55/54
	\|-		\|-
	\| \| 48		\| \| 48
Line 1,019:		Line 1,019:
	\| \| 56		\| \| 56
	\| \| 721.1		\| \| 721.1
	\| \|		\| \| 50/33
	\|-		\|-
	\| \| 57		\| \| 57
Line 1,067:		Line 1,067:
	\| \| 68		\| \| 68
	\| \| 447.0		\| \| 447.0
	\| \|		\| \| [[35/27]]
	\|-		\|-
	\| \| 69		\| \| 69

Xenllium: /* 5ED5/4 as a generator */

2019-01-24T07:39:07Z

5ED5/4 as a generator

← Older revision		Revision as of 07:39, 24 January 2019
Line 799:		Line 799:
	\| \| 1		\| \| 1
	\| \| 77.2		\| \| 77.2
	\| \| 117/112, 256/245, 68/65		\| \| 117/112, 256/245, 68/65, [[22/21]]
	\|-		\|-
	\| \| 2		\| \| 2
Line 887:		Line 887:
	\| \| 23		\| \| 23
	\| \| 574.7		\| \| 574.7
	\| \|		\| \| 39/28
	\|-		\|-
	\| \| 24		\| \| 24
Line 899:		Line 899:
	\| \| 26		\| \| 26
	\| \| 806.2		\| \| 806.2
	\| \|		\| \| 51/32
	\|-		\|-
	\| \| 27		\| \| 27
Line 907:		Line 907:
	\| \| 28		\| \| 28
	\| \| 960.5		\| \| 960.5
	\| \|		\| \| 68/39
	\|-		\|-
	\| \| 29		\| \| 29
Line 915:		Line 915:
	\| \| 30		\| \| 30
	\| \| 1114.9		\| \| 1114.9
	\| \|		\| \| [[40/21]]
	\|-		\|-
	\| \| 31		\| \| 31
Line 923:		Line 923:
	\| \| 32		\| \| 32
	\| \| 69.2		\| \| 69.2
	\| \|		\| \| [[26/25]], [[25/24]]
	\|-		\|-
	\| \| 33		\| \| 33
Line 931:		Line 931:
	\| \| 34		\| \| 34
	\| \| 223.5		\| \| 223.5
	\| \|		\| \| [[25/22]]
	\|-		\|-
	\| \| 35		\| \| 35
	\| \| 300.7		\| \| 300.7
	\| \|		\| \| [[25/21]]
	\|-		\|-
	\| \| 36		\| \| 36
Line 947:		Line 947:
	\| \| 38		\| \| 38
	\| \| 532.2		\| \| 532.2
	\| \|		\| \| 34/25
	\|-		\|-
	\| \| 39		\| \| 39
Line 963:		Line 963:
	\| \| 42		\| \| 42
	\| \| 840.8		\| \| 840.8
	\| \| '''[[13/8]]'''		\| \| '''[[13/8]]''', 44/27
	\|-		\|-
	\| \| 43		\| \| 43
Line 1,047:		Line 1,047:
	\| \| 63		\| \| 63
	\| \| 61.2		\| \| 61.2
	\| \|		\| \| [[28/27]]
	\|-		\|-
	\| \| 64		\| \| 64
Line 1,063:		Line 1,063:
	\| \| 67		\| \| 67
	\| \| 369.9		\| \| 369.9
	\| \|		\| \| [[26/21]]
	\|-		\|-
	\| \| 68		\| \| 68
Line 1,079:		Line 1,079:
	\| \| 71		\| \| 71
	\| \| 678.5		\| \| 678.5
	\| \|		\| \| [[40/27]]
	\|-		\|-
	\| \| 72		\| \| 72
Line 1,087:		Line 1,087:
	\| \| 73		\| \| 73
	\| \| 832.8		\| \| 832.8
	\| \|		\| \| [[34/21]]
	\|-		\|-
	\| \| 74		\| \| 74
Line 1,099:		Line 1,099:
	\| \| 76		\| \| 76
	\| \| 1064.3		\| \| 1064.3
	\| \|		\| \| 50/27
	\|-		\|-
	\| \| 77		\| \| 77
Line 1,167:		Line 1,167:
	\| \| 93		\| \| 93
	\| \| 1176.1		\| \| 1176.1
	\| \|		\| \| 65/33, [[160/81]]
	\|-		\|-
	\| \| 94		\| \| 94
	\| \| 53.2		\| \| 53.2
	\| \|		\| \| 34/33
	\|-		\|-
	\| \| 95		\| \| 95
Line 1,227:		Line 1,227:
	\| \| 108		\| \| 108
	\| \| 1133.5		\| \| 1133.5
	\| \|		\| \| 52/27
	\|-		\|-
	\| \| 109		\| \| 109

Xenllium: /* 5ED5/4 as a generator */

2019-01-24T07:02:46Z

5ED5/4 as a generator

← Older revision		Revision as of 07:02, 24 January 2019
Line 795:		Line 795:
	! \| generator		! \| generator
	! \| cents value <sup>a</sup><br>(octave-reduced)		! \| cents value <sup>a</sup><br>(octave-reduced)
	! \| 11-limit ratio<br>(octave-reduced)		! \| 17-limit ratio<br>(octave-reduced)
	\|-		\|-
	\| \| 1		\| \| 1
Line 823:		Line 823:
	\| \| 7		\| \| 7
	\| \| 540.1		\| \| 540.1
	\| \| ~~175~~/~~128~~		\| \| '''[[15/11]]'''
	\|-		\|-
	\| \| 8		\| \| 8
Line 867:		Line 867:
	\| \| 18		\| \| 18
	\| \| 188.9		\| \| 188.9
	\| \|		\| \| 39/35
	\|-		\|-
	\| \| 19		\| \| 19
Line 975:		Line 975:
	\| \| 45		\| \| 45
	\| \| 1072.3		\| \| 1072.3
	\| \|		\| \| '''[[13/7]]'''
	\|-		\|-
	\| \| 46		\| \| 46
Line 1,031:		Line 1,031:
	\| \| 59		\| \| 59
	\| \| 952.6		\| \| 952.6
	\| \|		\| \| '''[[26/15]]'''
	\|-		\|-
	\| \| 60		\| \| 60
Line 1,051:		Line 1,051:
	\| \| 64		\| \| 64
	\| \| 138.4		\| \| 138.4
	\| \|		\| \| '''[[13/12]]'''
	\|-		\|-
	\| \| 65		\| \| 65
	\| \| 215.5		\| \| 215.5
	\| \|		\| \| '''[[17/15]]'''
	\|-		\|-
	\| \| 66		\| \| 66
	\| \| 292.7		\| \| 292.7
	\| \| [[32/27]]		\| \| '''[[13/11]]''', [[32/27]]
	\|-		\|-
	\| \| 67		\| \| 67
Line 1,075:		Line 1,075:
	\| \| 70		\| \| 70
	\| \| 601.4		\| \| 601.4
	\| \|		\| \| '''[[17/12]]'''
	\|-		\|-
	\| \| 71		\| \| 71
Line 1,083:		Line 1,083:
	\| \| 72		\| \| 72
	\| \| 755.7		\| \| 755.7
	\| \|		\| \| '''[[17/11]]'''
	\|-		\|-
	\| \| 73		\| \| 73
Line 1,139:		Line 1,139:
	\| \| 86		\| \| 86
	\| \| 636.0		\| \| 636.0
	\| \|		\| \| '''[[13/9]]'''
	\|-		\|-
	\| \| 87		\| \| 87
Line 1,163:		Line 1,163:
	\| \| 92		\| \| 92
	\| \| 1098.9		\| \| 1098.9
	\| \|		\| \| '''[[17/9]]'''
	\|-		\|-
	\| \| 93		\| \| 93

← Older revision		Revision as of 12:25, 24 January 2019
Line 839:		Line 839:
	\| \| 11		\| \| 11
	\| \| 848.8		\| \| 848.8
	\| \| 85/52, 80/49		\| \| 85/52, 80/49, 49/30
	\|-		\|-
	\| \| 12		\| \| 12
Line 927:		Line 927:
	\| \| 33		\| \| 33
	\| \| 146.4		\| \| 146.4
	\| \|		\| \| 49/45
	\|-		\|-
	\| \| 34		\| \| 34
Line 939:		Line 939:
	\| \| 36		\| \| 36
	\| \| 377.8		\| \| 377.8
	\| \|		\| \| 56/45
	\|-		\|-
	\| \| 37		\| \| 37
Line 951:		Line 951:
	\| \| 39		\| \| 39
	\| \| 609.3		\| \| 609.3
	\| \|		\| \| [[64/45]]
	\|-		\|-
	\| \| 40		\| \| 40
Line 983:		Line 983:
	\| \| 47		\| \| 47
	\| \| 26.6		\| \| 26.6
	\| \| [[65/64]], [[64/63]], 55/54		\| \| 78/77, [[65/64]], [[64/63]], 55/54
	\|-		\|-
	\| \| 48		\| \| 48
Line 995:		Line 995:
	\| \| 50		\| \| 50
	\| \| 258.1		\| \| 258.1
	\| \|		\| \| 65/56
	\|-		\|-
	\| \| 51		\| \| 51
Line 1,003:		Line 1,003:
	\| \| 52		\| \| 52
	\| \| 412.4		\| \| 412.4
	\| \|		\| \| 80/63
	\|-		\|-
	\| \| 53		\| \| 53
	\| \| 489.6		\| \| 489.6
	\| \|		\| \| 65/49
	\|-		\|-
	\| \| 54		\| \| 54
Line 1,019:		Line 1,019:
	\| \| 56		\| \| 56
	\| \| 721.1		\| \| 721.1
	\| \| 50/33		\| \| 50/33, 85/56
	\|-		\|-
	\| \| 57		\| \| 57
	\| \| 798.2		\| \| 798.2
	\| \|		\| \| 100/63
	\|-		\|-
	\| \| 58		\| \| 58
Line 1,035:		Line 1,035:
	\| \| 60		\| \| 60
	\| \| 1029.7		\| \| 1029.7
	\| \|		\| \| 136/75
	\|-		\|-
	\| \| 61		\| \| 61
	\| \| 1106.9		\| \| 1106.9
	\| \|		\| \| 91/48, 256/135
	\|-		\|-
	\| \| 62		\| \| 62
	\| \| 1184.1		\| \| 1184.1
	\| \|		\| \| 196/99, 208/105
	\|-		\|-
	\| \| 63		\| \| 63
Line 1,071:		Line 1,071:
	\| \| 69		\| \| 69
	\| \| 524.2		\| \| 524.2
	\| \|		\| \| 65/48
	\|-		\|-
	\| \| 70		\| \| 70
Line 1,095:		Line 1,095:
	\| \| 75		\| \| 75
	\| \| 987.2		\| \| 987.2
	\| \|		\| \| 136/77, 85/48
	\|-		\|-
	\| \| 76		\| \| 76
Line 1,103:		Line 1,103:
	\| \| 77		\| \| 77
	\| \| 1141.5		\| \| 1141.5
	\| \|		\| \| 85/44
	\|-		\|-
	\| \| 78		\| \| 78
	\| \| 18.7		\| \| 18.7
	\| \|		\| \| [[100/99]], 91/90, 85/84
	\|-		\|-
	\| \| 79		\| \| 79
Line 1,119:		Line 1,119:
	\| \| 81		\| \| 81
	\| \| 250.1		\| \| 250.1
	\| \|		\| \| 52/45
	\|-		\|-
	\| \| 82		\| \| 82
Line 1,127:		Line 1,127:
	\| \| 83		\| \| 83
	\| \| 404.5		\| \| 404.5
	\| \|		\| \| 91/72
	\|-		\|-
	\| \| 84		\| \| 84
	\| \| 481.6		\| \| 481.6
	\| \|		\| \| 119/90
	\|-		\|-
	\| \| 85		\| \| 85
	\| \| 558.8		\| \| 558.8
	\| \|		\| \| 112/81
	\|-		\|-
	\| \| 86		\| \| 86
Line 1,143:		Line 1,143:
	\| \| 87		\| \| 87
	\| \| 713.1		\| \| 713.1
	\| \|		\| \| 68/45
	\|-		\|-
	\| \| 88		\| \| 88
	\| \| 790.3		\| \| 790.3
	\| \|		\| \| 52/33, 128/81
	\|-		\|-
	\| \| 89		\| \| 89
	\| \| 867.4		\| \| 867.4
	\| \|		\| \| 119/72
	\|-		\|-
	\| \| 90		\| \| 90
	\| \| 944.6		\| \| 944.6
	\| \|		\| \| 140/81
	\|-		\|-
	\| \| 91		\| \| 91
	\| \| 1021.8		\| \| 1021.8
	\| \|		\| \| 65/36
	\|-		\|-
	\| \| 92		\| \| 92
Line 1,175:		Line 1,175:
	\| \| 95		\| \| 95
	\| \| 130.4		\| \| 130.4
	\| \|		\| \| 68/63
	\|-		\|-
	\| \| 96		\| \| 96
Line 1,235:		Line 1,235:
	\| \| 110		\| \| 110
	\| \| 87.8		\| \| 87.8
	\| \|		\| \| 104/99, [[256/243]]
	\|-		\|-
	\| \| 111		\| \| 111

← Older revision		Revision as of 08:07, 24 January 2019
Line 803:		Line 803:
	\| \| 2		\| \| 2
	\| \| 154.3		\| \| 154.3
	\| \| '''[[12/11]]'''~~, 130/119~~, [[35/32]]		\| \| '''[[12/11]]''', [[35/32]]
	\|-		\|-
	\| \| 3		\| \| 3
Line 839:		Line 839:
	\| \| 11		\| \| 11
	\| \| 848.8		\| \| 848.8
	\| \|		\| \| 85/52, 80/49
	\|-		\|-
	\| \| 12		\| \| 12
Line 855:		Line 855:
	\| \| 15		\| \| 15
	\| \| 1157.4		\| \| 1157.4
	\| \| 39/20		\| \| 39/20, 88/45
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 34.6		\| \| 34.6
	\| \| 52/51, 51/50, [[50/49]], [[49/48]]		\| \| [[56/55]], 52/51, 51/50, [[50/49]], [[49/48]]
	\|-		\|-
	\| \| 17		\| \| 17
Line 899:		Line 899:
	\| \| 26		\| \| 26
	\| \| 806.2		\| \| 806.2
	\| \| 51/32		\| \| 35/22, 51/32
	\|-		\|-
	\| \| 27		\| \| 27
Line 955:		Line 955:
	\| \| 40		\| \| 40
	\| \| 686.5		\| \| 686.5
	\| \|		\| \| 52/35
	\|-		\|-
	\| \| 41		\| \| 41
Line 979:		Line 979:
	\| \| 46		\| \| 46
	\| \| 1149.5		\| \| 1149.5
	\| \|		\| \| 64/33, 68/35, [[35/18]]
	\|-		\|-
	\| \| 47		\| \| 47
	\| \| 26.6		\| \| 26.6
	\| \|		\| \| [[65/64]], [[64/63]], 55/54
	\|-		\|-
	\| \| 48		\| \| 48
Line 1,019:		Line 1,019:
	\| \| 56		\| \| 56
	\| \| 721.1		\| \| 721.1
	\| \|		\| \| 50/33
	\|-		\|-
	\| \| 57		\| \| 57
Line 1,067:		Line 1,067:
	\| \| 68		\| \| 68
	\| \| 447.0		\| \| 447.0
	\| \|		\| \| [[35/27]]
	\|-		\|-
	\| \| 69		\| \| 69

← Older revision		Revision as of 07:39, 24 January 2019
Line 799:		Line 799:
	\| \| 1		\| \| 1
	\| \| 77.2		\| \| 77.2
	\| \| 117/112, 256/245, 68/65		\| \| 117/112, 256/245, 68/65, [[22/21]]
	\|-		\|-
	\| \| 2		\| \| 2
Line 887:		Line 887:
	\| \| 23		\| \| 23
	\| \| 574.7		\| \| 574.7
	\| \|		\| \| 39/28
	\|-		\|-
	\| \| 24		\| \| 24
Line 899:		Line 899:
	\| \| 26		\| \| 26
	\| \| 806.2		\| \| 806.2
	\| \|		\| \| 51/32
	\|-		\|-
	\| \| 27		\| \| 27
Line 907:		Line 907:
	\| \| 28		\| \| 28
	\| \| 960.5		\| \| 960.5
	\| \|		\| \| 68/39
	\|-		\|-
	\| \| 29		\| \| 29
Line 915:		Line 915:
	\| \| 30		\| \| 30
	\| \| 1114.9		\| \| 1114.9
	\| \|		\| \| [[40/21]]
	\|-		\|-
	\| \| 31		\| \| 31
Line 923:		Line 923:
	\| \| 32		\| \| 32
	\| \| 69.2		\| \| 69.2
	\| \|		\| \| [[26/25]], [[25/24]]
	\|-		\|-
	\| \| 33		\| \| 33
Line 931:		Line 931:
	\| \| 34		\| \| 34
	\| \| 223.5		\| \| 223.5
	\| \|		\| \| [[25/22]]
	\|-		\|-
	\| \| 35		\| \| 35
	\| \| 300.7		\| \| 300.7
	\| \|		\| \| [[25/21]]
	\|-		\|-
	\| \| 36		\| \| 36
Line 947:		Line 947:
	\| \| 38		\| \| 38
	\| \| 532.2		\| \| 532.2
	\| \|		\| \| 34/25
	\|-		\|-
	\| \| 39		\| \| 39
Line 963:		Line 963:
	\| \| 42		\| \| 42
	\| \| 840.8		\| \| 840.8
	\| \| '''[[13/8]]'''		\| \| '''[[13/8]]''', 44/27
	\|-		\|-
	\| \| 43		\| \| 43
Line 1,047:		Line 1,047:
	\| \| 63		\| \| 63
	\| \| 61.2		\| \| 61.2
	\| \|		\| \| [[28/27]]
	\|-		\|-
	\| \| 64		\| \| 64
Line 1,063:		Line 1,063:
	\| \| 67		\| \| 67
	\| \| 369.9		\| \| 369.9
	\| \|		\| \| [[26/21]]
	\|-		\|-
	\| \| 68		\| \| 68
Line 1,079:		Line 1,079:
	\| \| 71		\| \| 71
	\| \| 678.5		\| \| 678.5
	\| \|		\| \| [[40/27]]
	\|-		\|-
	\| \| 72		\| \| 72
Line 1,087:		Line 1,087:
	\| \| 73		\| \| 73
	\| \| 832.8		\| \| 832.8
	\| \|		\| \| [[34/21]]
	\|-		\|-
	\| \| 74		\| \| 74
Line 1,099:		Line 1,099:
	\| \| 76		\| \| 76
	\| \| 1064.3		\| \| 1064.3
	\| \|		\| \| 50/27
	\|-		\|-
	\| \| 77		\| \| 77
Line 1,167:		Line 1,167:
	\| \| 93		\| \| 93
	\| \| 1176.1		\| \| 1176.1
	\| \|		\| \| 65/33, [[160/81]]
	\|-		\|-
	\| \| 94		\| \| 94
	\| \| 53.2		\| \| 53.2
	\| \|		\| \| 34/33
	\|-		\|-
	\| \| 95		\| \| 95
Line 1,227:		Line 1,227:
	\| \| 108		\| \| 108
	\| \| 1133.5		\| \| 1133.5
	\| \|		\| \| 52/27
	\|-		\|-
	\| \| 109		\| \| 109

← Older revision		Revision as of 07:02, 24 January 2019
Line 795:		Line 795:
	! \| generator		! \| generator
	! \| cents value <sup>a</sup><br>(octave-reduced)		! \| cents value <sup>a</sup><br>(octave-reduced)
	! \| 11-limit ratio<br>(octave-reduced)		! \| 17-limit ratio<br>(octave-reduced)
	\|-		\|-
	\| \| 1		\| \| 1
Line 823:		Line 823:
	\| \| 7		\| \| 7
	\| \| 540.1		\| \| 540.1
	\| \| ~~175~~/~~128~~		\| \| '''[[15/11]]'''
	\|-		\|-
	\| \| 8		\| \| 8
Line 867:		Line 867:
	\| \| 18		\| \| 18
	\| \| 188.9		\| \| 188.9
	\| \|		\| \| 39/35
	\|-		\|-
	\| \| 19		\| \| 19
Line 975:		Line 975:
	\| \| 45		\| \| 45
	\| \| 1072.3		\| \| 1072.3
	\| \|		\| \| '''[[13/7]]'''
	\|-		\|-
	\| \| 46		\| \| 46
Line 1,031:		Line 1,031:
	\| \| 59		\| \| 59
	\| \| 952.6		\| \| 952.6
	\| \|		\| \| '''[[26/15]]'''
	\|-		\|-
	\| \| 60		\| \| 60
Line 1,051:		Line 1,051:
	\| \| 64		\| \| 64
	\| \| 138.4		\| \| 138.4
	\| \|		\| \| '''[[13/12]]'''
	\|-		\|-
	\| \| 65		\| \| 65
	\| \| 215.5		\| \| 215.5
	\| \|		\| \| '''[[17/15]]'''
	\|-		\|-
	\| \| 66		\| \| 66
	\| \| 292.7		\| \| 292.7
	\| \| [[32/27]]		\| \| '''[[13/11]]''', [[32/27]]
	\|-		\|-
	\| \| 67		\| \| 67
Line 1,075:		Line 1,075:
	\| \| 70		\| \| 70
	\| \| 601.4		\| \| 601.4
	\| \|		\| \| '''[[17/12]]'''
	\|-		\|-
	\| \| 71		\| \| 71
Line 1,083:		Line 1,083:
	\| \| 72		\| \| 72
	\| \| 755.7		\| \| 755.7
	\| \|		\| \| '''[[17/11]]'''
	\|-		\|-
	\| \| 73		\| \| 73
Line 1,139:		Line 1,139:
	\| \| 86		\| \| 86
	\| \| 636.0		\| \| 636.0
	\| \|		\| \| '''[[13/9]]'''
	\|-		\|-
	\| \| 87		\| \| 87
Line 1,163:		Line 1,163:
	\| \| 92		\| \| 92
	\| \| 1098.9		\| \| 1098.9
	\| \|		\| \| '''[[17/9]]'''
	\|-		\|-
	\| \| 93		\| \| 93