53ed7 - Revision history

FloraC: /* Theory */ note consistency and +subsets and supersets

2025-03-30T16:24:28Z

Theory: note consistency and +subsets and supersets

← Older revision		Revision as of 16:24, 30 March 2025
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	== Theory ==		== Theory ==
	53ed7 is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the [[2/1]] being just. The octave is about 7.6923 cents stretched. ~~The~~ [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 16, with exception for [[11/1\|11th harmonic]].		53ed7 is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the [[2/1]] being just. The octave is about 7.6923 cents stretched. Like 19edo, 53ed7 is [[consistent]] to the [[integer limit\|10-integer-limit]], but the [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 16, with exception for [[11/1\|11th harmonic]].

	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|53\|7\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|53\|7\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|53\|7\|1\|intervals=integer\|columns=11\|start=12\|collapsed=1\|title=Approximation of harmonics in 53ed7 (continued)}}		{{Harmonics in equal\|53\|7\|1\|intervals=integer\|columns=11\|start=12\|collapsed=1\|title=Approximation of harmonics in 53ed7 (continued)}}

			=== Subsets and supersets ===
			53ed7 is the 16th [[prime equal division\|prime ed7]]. It does not contain any nontrivial subset ed7's.

	== Intervals ==		== Intervals ==

FloraC: +see also

2025-03-30T16:22:27Z

+see also

← Older revision		Revision as of 16:22, 30 March 2025
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	\| 50		\| 50
	\| 3178.1		\| 3178.1
	\| [[50/8], [[56/9]]		\| [[50/8]], [[56/9]]
	\|-		\|-
	\| 51		\| 51
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	\| [[7/1]]		\| [[7/1]]
	\|}		\|}

			== See also ==
			* [[11edf]] – relative edf
			* [[19edo]] – relative edo
			* [[30edt]] – relative edt
			* [[49ed6]] – relative ed6
			* [[68ed12]] – relative ed12
			* [[93ed30]] – relative ed30

FloraC: Cleanup (2/2)

2025-03-30T16:21:38Z

Cleanup (2/2)

Show changes

FloraC: Cleanup (1/)

2025-03-30T16:09:42Z

Cleanup (1/)

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''[[Ed7|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The [[patent val]] has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.
+{{ED intro}}
 == Intervals ==
@@ Line 281: / Line 288: @@
 | | [[7/4|harmonic seventh]] plus two octaves
 |}

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

2024-12-23T00:35:03Z

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 00:35, 23 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.		'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The [[patent val]] has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.

	{\| class="wikitable"		== Intervals ==
			{\| class="wikitable mw-collapsible"
			\|+ Intervals of 53ed7
	\|-		\|-
	! \| degree		! \| degree
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	\|}		\|}

			== Harmonics ==
			{{Harmonics in equal\|53\|7\|1\|intervals=prime}}
			{{Harmonics in equal\|53\|7\|1\|intervals=prime\|collapsed=1\|start=12}}


			{{stub}}
	[[Category:Ed7]]		[[Category:Ed7]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T20:32:48Z

Infobox ET added

← Older revision		Revision as of 20:32, 5 October 2022
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			{{Infobox ET}}
	'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.		'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.

Xenllium at 10:43, 15 January 2019

2019-01-15T10:43:26Z

← Older revision		Revision as of 10:43, 15 January 2019
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	'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]] and [[~~30edt~~]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.		'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.

	{\| class="wikitable"		{\| class="wikitable"
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	\| \| 1207.6923		\| \| 1207.6923
	\| \| 161/80		\| \| 161/80
	\| \|		\| \| pseudo-[[octave]]
	\|-		\|-
	\| \| 20		\| \| 20
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	\| \| 1906.8826		\| \| 1906.8826
	\| \|		\| \|
	\| \|		\| \| pseudo-[[3/1]]
	\|-		\|-
	\| \| 31		\| \| 31
Line 201:		Line 201:
	\| \| 2415.3846		\| \| 2415.3846
	\| \| 105/26		\| \| 105/26
	\| \|		\| \| pseudo-[[4/1]]
	\|-		\|-
	\| \| 39		\| \| 39
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	\| \| 2796.7611		\| \| 2796.7611
	\| \| 161/32		\| \| 161/32
	\| \|		\| \| pseudo-[[5/1]]
	\|-		\|-
	\| \| 45		\| \| 45
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	\| \| 3114.5749		\| \| 3114.5749
	\| \| 133/22		\| \| 133/22
	\| \|		\| \| pseudo-[[6/1]]
	\|-		\|-
	\| \| 50		\| \| 50

Xenllium at 10:44, 10 January 2019

2019-01-10T10:44:57Z

Show changes

Xenllium at 09:32, 10 January 2019

2019-01-10T09:32:31Z

← Older revision		Revision as of 09:32, 10 January 2019
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	\|-		\|-
	\| \| 33		\| \| 33
	\| \|		\| \| 2097.5708
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 34		\| \| 34
	\| \|		\| \| 2161.1336
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 35		\| \| 35
	\| \|		\| \| 2224.6964
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 36		\| \| 36
	\| \|		\| \| 2288.2591
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 37		\| \| 37
	\| \|		\| \| 2351.8219
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 38		\| \| 38
	\| \|		\| \| 2415.3846
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 39		\| \| 39
	\| \|		\| \| 2478.9474
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 40		\| \| 40
	\| \|		\| \| 2542.5101
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 41		\| \| 41
	\| \|		\| \| 2606.0729
	\| \|		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 42		\| \| 42
	\| \|		\| \| 2669.6356
	\| \|		\| \|
	\| \|		\| \|

Xenllium at 08:46, 10 January 2019

2019-01-10T08:46:47Z

Show changes

← Older revision		Revision as of 10:43, 15 January 2019
Line 1:		Line 1:
	'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]] and [[~~30edt~~]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.		'''[[Ed7\|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.

	{\| class="wikitable"		{\| class="wikitable"
Line 106:		Line 106:
	\| \| 1207.6923		\| \| 1207.6923
	\| \| 161/80		\| \| 161/80
	\| \|		\| \| pseudo-[[octave]]
	\|-		\|-
	\| \| 20		\| \| 20
Line 161:		Line 161:
	\| \| 1906.8826		\| \| 1906.8826
	\| \|		\| \|
	\| \|		\| \| pseudo-[[3/1]]
	\|-		\|-
	\| \| 31		\| \| 31
Line 201:		Line 201:
	\| \| 2415.3846		\| \| 2415.3846
	\| \| 105/26		\| \| 105/26
	\| \|		\| \| pseudo-[[4/1]]
	\|-		\|-
	\| \| 39		\| \| 39
Line 231:		Line 231:
	\| \| 2796.7611		\| \| 2796.7611
	\| \| 161/32		\| \| 161/32
	\| \|		\| \| pseudo-[[5/1]]
	\|-		\|-
	\| \| 45		\| \| 45
Line 256:		Line 256:
	\| \| 3114.5749		\| \| 3114.5749
	\| \| 133/22		\| \| 133/22
	\| \|		\| \| pseudo-[[6/1]]
	\|-		\|-
	\| \| 50		\| \| 50