32edt - Revision history

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

2025-08-01T19:21:55Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:21, 1 August 2025
Line 155:		Line 155:
	\|}		\|}

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

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

2025-07-31T15:31:30Z

Removing from Category:Edt using Cat-a-lot

← Older revision		Revision as of 15:31, 31 July 2025
Line 155:		Line 155:
	\|}		\|}

	~~[[Category:Edt]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]
	{{todo\|expand}}		{{todo\|expand}}

ArrowHead294 at 13:11, 10 April 2025

2025-04-10T13:11:35Z

← Older revision		Revision as of 13:11, 10 April 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''32EDT''' is the [[Edt\|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent~~\|cents~~]] each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[the Riemann zeta function and tuning#Removing primes\|zeta peak tritave division]].		'''32EDT''' is the [[Edt\|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent]]s each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[the Riemann zeta function and tuning#Removing primes\|zeta peak tritave division]].

	== Harmonics ==		== Harmonics ==

ArrowHead294 at 13:03, 10 April 2025

2025-04-10T13:03:48Z

Show changes

BudjarnLambeth: {{todo|expand}}

2024-12-21T03:44:16Z

← Older revision		Revision as of 03:44, 21 December 2024
Line 158:		Line 158:
	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
			{{todo\|expand}}

Lériendil at 03:32, 11 October 2024

2024-10-11T03:32:23Z

← Older revision		Revision as of 03:32, 11 October 2024
Line 4:		Line 4:
	==Harmonics==		==Harmonics==
	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 19		\| steps = 32
	\| num = 3		\| num = 3
	\| denom = 1		\| denom = 1
			\| columns = 9
	\| intervals = prime		\| intervals = prime
	}}		}}
	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 19		\| steps = 32
	\| num = 3		\| num = 3
	\| denom = 1		\| denom = 1
	\| start = 12		\| start = 12
	\| collapsed = 1		\| collapsed = 1
	\| intervals = ~~prime~~		\| intervals = odd
	}}		}}

BudjarnLambeth: Replace wide table w 2 short tables

2024-10-06T06:53:18Z

Replace wide table w 2 short tables

@@ Line 2: / Line 2: @@
 '''32EDT''' is the [[Edt|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent|cents]] each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|zeta peak tritave division]].
-{{Harmonics in equal|32|3|1|intervals=prime}}
+==Harmonics==
 == Intervals ==

Lériendil at 21:19, 5 October 2024

2024-10-05T21:19:23Z

← Older revision		Revision as of 21:19, 5 October 2024
Line 2:		Line 2:
	'''32EDT''' is the [[Edt\|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent\|cents]] each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes\|zeta peak tritave division]].		'''32EDT''' is the [[Edt\|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent\|cents]] each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes\|zeta peak tritave division]].

	=Intervals=		{{Harmonics in equal\|32\|3\|1\|intervals=prime}}

			== Intervals ==

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

Plumtree: Infobox ET added

2022-10-05T19:53:54Z

Infobox ET added

← Older revision		Revision as of 19:53, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''32EDT''' is the [[Edt\|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent\|cents]] each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes\|zeta peak tritave division]].		'''32EDT''' is the [[Edt\|equal division of the third harmonic]] into 32 parts of 59.4361 [[cent\|cents]] each, corresponding to 20.1898 [[edo]]. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes\|zeta peak tritave division]].

Moremajorthanmajor: /* Intervals */

2019-04-20T20:11:45Z

Intervals

← Older revision		Revision as of 20:11, 20 April 2019
Line 7:		Line 7:
	! step		! step
	! cents		! cents
			!hekts
	\|-		\|-
	\| \| 1		\| \| 1
	\| \| 59.436		\| \| 59.436
			\|40.625
	\|-		\|-
	\| \| 2		\| \| 2
	\| \| 118.872		\| \| 118.872
			\|81.25
	\|-		\|-
	\| \| 3		\| \| 3
	\| \| 178.308		\| \| 178.308
			\|121.875
	\|-		\|-
	\| \| 4		\| \| 4
	\| \| 237.744		\| \| 237.744
			\|162.5
	\|-		\|-
	\| \| 5		\| \| 5
	\| \| 297.180		\| \| 297.180
			\|203.125
	\|-		\|-
	\| \| 6		\| \| 6
	\| \| 356.617		\| \| 356.617
			\|243.75
	\|-		\|-
	\| \| 7		\| \| 7
	\| \| 416.053		\| \| 416.053
			\|284.375
	\|-		\|-
	\| \| 8		\| \| 8
	\| \| 475.489		\| \| 475.489
			\|325
	\|-		\|-
	\| \| 9		\| \| 9
	\| \| 534.925		\| \| 534.925
			\|365.625
	\|-		\|-
	\| \| 10		\| \| 10
	\| \| 594.361		\| \| 594.361
			\|406.25
	\|-		\|-
	\| \| 11		\| \| 11
	\| \| 653.797		\| \| 653.797
			\|446.875
	\|-		\|-
	\| \| 12		\| \| 12
	\| \| 713.233		\| \| 713.233
			\|487.5
	\|-		\|-
	\| \| 13		\| \| 13
	\| \| 772.669		\| \| 772.669
			\|528.125
	\|-		\|-
	\| \| 14		\| \| 14
	\| \| 832.105		\| \| 832.105
			\|568.75
	\|-		\|-
	\| \| 15		\| \| 15
	\| \| 891.541		\| \| 891.541
			\|609.375
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 950.978		\| \| 950.978
			\|650
	\|-		\|-
	\| \| 17		\| \| 17
	\| \| 1010.414		\| \| 1010.414
			\|690.625
	\|-		\|-
	\| \| 18		\| \| 18
	\| \| 1069.~~850~~		\| \| 1069.85
			\|731.25
	\|-		\|-
	\| \| 19		\| \| 19
	\| \| 1129.286		\| \| 1129.286
			\|774.875
	\|-		\|-
	\| \| 20		\| \| 20
	\| \| 1188.722		\| \| 1188.722
			\|812.5
	\|-		\|-
	\| \| 21		\| \| 21
	\| \| 1248.158		\| \| 1248.158
			\|853.125.
	\|-		\|-
	\| \| 22		\| \| 22
	\| \| 1307.594		\| \| 1307.594
			\|893.75
	\|-		\|-
	\| \| 23		\| \| 23
	\| \| 1367.~~030~~		\| \| 1367.03
			\|934.375
	\|-		\|-
	\| \| 24		\| \| 24
	\| \| 1426.466		\| \| 1426.466
			\|975
	\|-		\|-
	\| \| 25		\| \| 25
	\| \| 1485.902		\| \| 1485.902
			\|1015.625
	\|-		\|-
	\| \| 26		\| \| 26
	\| \| 1545.338		\| \| 1545.338
			\|1056.25
	\|-		\|-
	\| \| 27		\| \| 27
	\| \| 1604.775		\| \| 1604.775
			\|1096.875
	\|-		\|-
	\| \| 28		\| \| 28
	\| \| 1664.211		\| \| 1664.211
			\|1137.5
	\|-		\|-
	\| \| 29		\| \| 29
	\| \| 1723.647		\| \| 1723.647
			\|1178.125
	\|-		\|-
	\| \| 30		\| \| 30
	\| \| 1783.083		\| \| 1783.083
			\|1218.75
	\|-		\|-
	\| \| 31		\| \| 31
	\| \| 1842.519		\| \| 1842.519
			\|1259.375
	\|-		\|-
	\| \| 32		\| \| 32
	\| \| 1901.955		\| \| 1901.955
			\|1300
	\|}		\|}

	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

← Older revision		Revision as of 20:11, 20 April 2019
Line 7:		Line 7:
	! step		! step
	! cents		! cents
			!hekts
	\|-		\|-
	\| \| 1		\| \| 1
	\| \| 59.436		\| \| 59.436
			\|40.625
	\|-		\|-
	\| \| 2		\| \| 2
	\| \| 118.872		\| \| 118.872
			\|81.25
	\|-		\|-
	\| \| 3		\| \| 3
	\| \| 178.308		\| \| 178.308
			\|121.875
	\|-		\|-
	\| \| 4		\| \| 4
	\| \| 237.744		\| \| 237.744
			\|162.5
	\|-		\|-
	\| \| 5		\| \| 5
	\| \| 297.180		\| \| 297.180
			\|203.125
	\|-		\|-
	\| \| 6		\| \| 6
	\| \| 356.617		\| \| 356.617
			\|243.75
	\|-		\|-
	\| \| 7		\| \| 7
	\| \| 416.053		\| \| 416.053
			\|284.375
	\|-		\|-
	\| \| 8		\| \| 8
	\| \| 475.489		\| \| 475.489
			\|325
	\|-		\|-
	\| \| 9		\| \| 9
	\| \| 534.925		\| \| 534.925
			\|365.625
	\|-		\|-
	\| \| 10		\| \| 10
	\| \| 594.361		\| \| 594.361
			\|406.25
	\|-		\|-
	\| \| 11		\| \| 11
	\| \| 653.797		\| \| 653.797
			\|446.875
	\|-		\|-
	\| \| 12		\| \| 12
	\| \| 713.233		\| \| 713.233
			\|487.5
	\|-		\|-
	\| \| 13		\| \| 13
	\| \| 772.669		\| \| 772.669
			\|528.125
	\|-		\|-
	\| \| 14		\| \| 14
	\| \| 832.105		\| \| 832.105
			\|568.75
	\|-		\|-
	\| \| 15		\| \| 15
	\| \| 891.541		\| \| 891.541
			\|609.375
	\|-		\|-
	\| \| 16		\| \| 16
	\| \| 950.978		\| \| 950.978
			\|650
	\|-		\|-
	\| \| 17		\| \| 17
	\| \| 1010.414		\| \| 1010.414
			\|690.625
	\|-		\|-
	\| \| 18		\| \| 18
	\| \| 1069.~~850~~		\| \| 1069.85
			\|731.25
	\|-		\|-
	\| \| 19		\| \| 19
	\| \| 1129.286		\| \| 1129.286
			\|774.875
	\|-		\|-
	\| \| 20		\| \| 20
	\| \| 1188.722		\| \| 1188.722
			\|812.5
	\|-		\|-
	\| \| 21		\| \| 21
	\| \| 1248.158		\| \| 1248.158
			\|853.125.
	\|-		\|-
	\| \| 22		\| \| 22
	\| \| 1307.594		\| \| 1307.594
			\|893.75
	\|-		\|-
	\| \| 23		\| \| 23
	\| \| 1367.~~030~~		\| \| 1367.03
			\|934.375
	\|-		\|-
	\| \| 24		\| \| 24
	\| \| 1426.466		\| \| 1426.466
			\|975
	\|-		\|-
	\| \| 25		\| \| 25
	\| \| 1485.902		\| \| 1485.902
			\|1015.625
	\|-		\|-
	\| \| 26		\| \| 26
	\| \| 1545.338		\| \| 1545.338
			\|1056.25
	\|-		\|-
	\| \| 27		\| \| 27
	\| \| 1604.775		\| \| 1604.775
			\|1096.875
	\|-		\|-
	\| \| 28		\| \| 28
	\| \| 1664.211		\| \| 1664.211
			\|1137.5
	\|-		\|-
	\| \| 29		\| \| 29
	\| \| 1723.647		\| \| 1723.647
			\|1178.125
	\|-		\|-
	\| \| 30		\| \| 30
	\| \| 1783.083		\| \| 1783.083
			\|1218.75
	\|-		\|-
	\| \| 31		\| \| 31
	\| \| 1842.519		\| \| 1842.519
			\|1259.375
	\|-		\|-
	\| \| 32		\| \| 32
	\| \| 1901.955		\| \| 1901.955
			\|1300
	\|}		\|}

	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Edonoi]]		[[Category:Edonoi]]