20ed11/5 - Revision history

BudjarnLambeth: Harmonics

2024-10-05T01:43:52Z

Harmonics

@@ Line 116: / Line 116: @@
 |J
 |}
 [[Category:Nonoctave]]

FloraC: That category is covered by the infobox

2023-05-07T06:46:08Z

That category is covered by the infobox

← Older revision		Revision as of 06:46, 7 May 2023
Line 118:		Line 118:

	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	~~[[Category:Ed11/5]]~~

BudjarnLambeth: Moved from category equal-step tunings to ed11/5

2023-05-07T06:14:24Z

Moved from category equal-step tunings to ed11/5

← Older revision		Revision as of 06:14, 7 May 2023
Line 118:		Line 118:

	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:~~Equal-step tunings~~]]		[[Category:Ed11/5]]

CompactStar: Salmon is already used for a mode of Porcupine

2023-03-11T03:43:31Z

Salmon is already used for a mode of Porcupine

← Older revision		Revision as of 03:43, 11 March 2023
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	'''20ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into 20 parts of 68.3 cents each.		'''20ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into 20 parts of 68.3 cents each.
	== Temperaments ==		== Temperaments ==
	20ed11/5 tempers out 2093663/2088025 and 54925/54043 in the no-twos-or-threes 17-limit which means it supports [[~~salmon~~]] temperament, which can be viewed as the no-twos-or-threes-analog of [[meantone]]. However, its [[13/11]] approximation is quite flat (closer to a subminor third) which affects the quality of the 11:13:17 chord, one of the most consonant no-twos-or-threes chords.		20ed11/5 tempers out 2093663/2088025 and 54925/54043 in the no-twos-or-threes 17-limit which means it supports [[catfish]] temperament, which can be viewed as the no-twos-or-threes-analog of [[meantone]]. However, its [[13/11]] approximation is quite flat (closer to a subminor third) which affects the quality of the 11:13:17 chord, one of the most consonant no-twos-or-threes chords.
	== Intervals ==		== Intervals ==
	{\|class="wikitable"		{\|class="wikitable"
Line 9:		Line 9:
	!Cents		!Cents
	!Approximate ratios		!Approximate ratios
	![[~~Salmon~~]] nonatonic notation (J = 1/1)		![[Catfish]] nonatonic notation (J = 1/1)
	\|-		\|-
	\|0		\|0

CompactStar at 02:21, 9 March 2023

2023-03-09T02:21:08Z

← Older revision		Revision as of 02:21, 9 March 2023
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	\|68.3		\|68.3
	\|[[28/27]], [[27/26]], [[26/25]], [[25/24]]		\|[[28/27]], [[27/26]], [[26/25]], [[25/24]]
	\|J#, kb		\|J#, Kb
	\|-		\|-
	\|2		\|2

CompactStar at 02:20, 9 March 2023

2023-03-09T02:20:27Z

← Older revision		Revision as of 02:20, 9 March 2023
Line 9:		Line 9:
	!Cents		!Cents
	!Approximate ratios		!Approximate ratios
			![[Salmon]] nonatonic notation (J = 1/1)
	\|-		\|-
	\|0		\|0
	\|0.0		\|0.0
	\|[[1/1]]		\|[[1/1]]
			\|J
	\|-		\|-
	\|1		\|1
	\|68.3		\|68.3
	\|[[28/27]], [[27/26]], [[26/25]], [[25/24]]		\|[[28/27]], [[27/26]], [[26/25]], [[25/24]]
			\|J#, kb
	\|-		\|-
	\|2		\|2
	\|136.5		\|136.5
	\|[[14/13]], [[27/25]], [[13/12]]		\|[[14/13]], [[27/25]], [[13/12]]
			\|K
	\|-		\|-
	\|3		\|3
	\|204.8		\|204.8
	\|[[9/8]]		\|[[9/8]]
			\|K#, Lb
	\|-		\|-
	\|4		\|4
	\|273.0		\|273.0
	\|[[7/6]], [[75/64]]		\|[[7/6]], [[75/64]]
			\|L
	\|-		\|-
	\|5		\|5
	\|341.3		\|341.3
	\|[[17/14]], [[39/32]], [[11/9]]		\|[[17/14]], [[39/32]], [[11/9]]
			\|L#, Mb
	\|-		\|-
	\|6		\|6
	\|409.5		\|409.5
	\|[[14/11]],[[81/64]], [[19/15]]		\|[[14/11]],[[81/64]], [[19/15]]
			\|M
	\|-		\|-
	\|7		\|7
	\|477.8		\|477.8
	\|[[21/16]], [[33/25]]		\|[[21/16]], [[33/25]]
			\|M#, Nb
	\|-		\|-
	\|8		\|8
	\|546.0		\|546.0
	\|[[11/8]], [[15/11]], [[48/35]]		\|[[11/8]], [[15/11]], [[48/35]]
			\|N
	\|-		\|-
	\|9		\|9
	\|614.3		\|614.3
	\|[[10/7]], [[121/85]]		\|[[10/7]], [[121/85]]
			\|N#
	\|-		\|-
	\|10		\|10
	\|682.5		\|682.5
	\|[[3/2]], [[40/27]]		\|[[3/2]], [[40/27]]
			\|Ob
	\|-		\|-
	\|11		\|11
	\|750.1		\|750.1
	\|[[17/11]], [[49/32]]		\|[[17/11]], [[49/32]]
			\|O
	\|-		\|-
	\|12		\|12
	\|819.0		\|819.0
	\|[[8/5]], [[21/13]]		\|[[8/5]], [[21/13]]
			\|O#, Pb
	\|-		\|-
	\|13		\|13
	\|887.3		\|887.3
	\|[[5/3]], [[38/23]]		\|[[5/3]], [[38/23]]
			\|P
	\|-		\|-
	\|14		\|14
	\|955.5		\|955.5
	\|[[7/4]], [[26/15]]		\|[[7/4]], [[26/15]]
			\|P#, Qb
	\|-		\|-
	\|15		\|15
	\|1023.8		\|1023.8
	\|[[9/5]], [[29/16]], [[20/11]]		\|[[9/5]], [[29/16]], [[20/11]]
			\|Q
	\|-		\|-
	\|16		\|16
	\|1092.0		\|1092.0
	\|[[15/8]], [[32/17]]		\|[[15/8]], [[32/17]]
			\|Q#, Rb
	\|-		\|-
	\|17		\|17
	\|1160.3		\|1160.3
	\|[[49/25]], [[35/18]]		\|[[49/25]], [[35/18]]
			\|R
	\|-		\|-
	\|18		\|18
	\|1228.5		\|1228.5
	\|[[2/1]]		\|[[2/1]]
			\|R#
	\|-		\|-
	\|19		\|19
	\|1296.8		\|1296.8
	\|[[15/7]]		\|[[15/7]]
			\|Jb
	\|-		\|-
	\|20		\|20
	\|1365.0		\|1365.0
	\|[[11/5]]		\|[[11/5]]
			\|J
	\|}		\|}

	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Equal-step tunings]]		[[Category:Equal-step tunings]]

CompactStar at 20:31, 6 March 2023

2023-03-06T20:31:58Z

← Older revision		Revision as of 20:31, 6 March 2023
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	\|7		\|7
	\|477.8		\|477.8
	\|[21/16]], [[33/25]]		\|[[21/16]], [[33/25]]
	\|-		\|-
	\|8		\|8

CompactStar at 02:03, 6 March 2023

2023-03-06T02:03:13Z

← Older revision		Revision as of 02:03, 6 March 2023
Line 1:		Line 1:
	~~WIP~~

	{{Infobox ET}}		{{Infobox ET}}
	'''20ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into 20 parts of 68.3 cents each.		'''20ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into 20 parts of 68.3 cents each.

CompactStar at 02:03, 6 March 2023

2023-03-06T02:03:05Z

@@ Line 31: / Line 31: @@
 |273.0
 |[[7/6]], [[75/64]]
 |-
 |8
 |546.0
 |[[11/8]], [[15/11]], [[48/35]]
 |-
 |12
 |819.0
 |[[8/5]], [[21/13]]
 |-
 |16
 |1092.0
 |[[15/8]], [[32/17]]
 |-
 |20

CompactStar at 01:52, 6 March 2023

2023-03-06T01:52:25Z

← Older revision		Revision as of 01:52, 6 March 2023
Line 26:		Line 26:
	\|3		\|3
	\|204.8		\|204.8
	[[9/8]]		\|[[9/8]]
	\|-		\|-
	\|4		\|4