35edf - Revision history

FloraC: /* Intervals */ cleanup

2025-05-28T12:27:49Z

Intervals: cleanup

FloraC: /* Theory */ +subsets and supersets

2025-05-28T12:24:56Z

Theory: +subsets and supersets

← Older revision		Revision as of 12:24, 28 May 2025
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	{{Harmonics in equal\|35\|3\|2\|intervals=integer\|columns=11}}		{{Harmonics in equal\|35\|3\|2\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|35\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 35edf (continued)}}		{{Harmonics in equal\|35\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 35edf (continued)}}

			=== Subsets and supersets ===
			Since 35 factors into primes as {{nowrap\| 5 × 7 }}, 35edf has subset edfs [[5edf]] and [[7edf]].

	== Intervals ==		== Intervals ==

FloraC: Cleanup

2025-05-28T12:24:12Z

Cleanup

← Older revision		Revision as of 12:24, 28 May 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave stretch\|stretched]] by about 3.3514 [[cents]] and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]).		{{ED intro}}

	~~The~~ [[~~patent val~~]] ~~has a generally sharp tendency for~~ [[~~harmonic~~]]~~s up~~ to 18, with the ~~exception for 13~~. ~~Unlike 60edo, it~~ is ~~only consistent up to the 7-~~[[~~integer-limit~~]]~~, with discrepancy for the 8th harmonic (three octaves)~~.		== Theory ==
			35edf corresponds to 59.8329…[[edo]] and is practically identical to every sixth step of [[359edo]]. It is related to [[60edo]], but with the [[3/2\|perfect fifth]] rather than the [[2/1\|octave]] being [[just]]. The octave is [[Stretched and compressed tuning\|stretched]] by about 3.35 [[cents]].

	~~Lookalikes:~~ [[60edo]], [[~~95edt~~]]		The [[patent val]] has a generally sharp tendency for [[prime harmonic]]s up to 17, with the exception for [[13/1\|13]]. Unlike 60edo, which is [[consistent]] to the [[integer limit\|10-integer-limit]], 35edf is only consistent up to the 7-integer-limit, with discrepancy for the 8th harmonic (three octaves).

	== Harmonics ==		=== Harmonics ===
	{{Harmonics in equal\|35\|3\|2\|intervals=~~prime~~}}		{{Harmonics in equal\|35\|3\|2\|intervals=integer\|columns=11}}
			{{Harmonics in equal\|35\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 35edf (continued)}}

	== Intervals ==		== Intervals ==
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	\|}		\|}

	~~{{todo\|expand}}~~		== See also ==
	[[~~Category:Edf~~]]		* [[60edo]] – relative edo
	[[~~Category:Edonoi~~]]		* [[95edt]] – relative edt
			* [[139ed5]] – relative ed5
			* [[155ed6]] – relative ed6

BudjarnLambeth: Fix misleading link, add todo, make table collapsible, add harmonics, add links

2024-12-18T07:38:59Z

Fix misleading link, add todo, make table collapsible, add harmonics, add links

← Older revision		Revision as of 07:38, 18 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo~~\|60 edo~~]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents ~~stretched~~ and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]). The patent val has a generally sharp tendency for ~~harmonics~~ up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the [[~~7-odd-limit\|7-~~integer-limit]], with discrepancy for the 8th harmonic (three octaves).		'''[[EDF\|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave stretch\|stretched]] by about 3.3514 [[cents]] and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]).

			The [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the 7-[[integer-limit]], with discrepancy for the 8th harmonic (three octaves).

	Lookalikes: [[60edo]], [[95edt]]		Lookalikes: [[60edo]], [[95edt]]

			== Harmonics ==
			{{Harmonics in equal\|35\|3\|2\|intervals=prime}}

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable mw-collapsible"
			\|+ Intervals in 35edf
	\|-		\|-
	! Degrees of 60edo		! Degrees of 60edo
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	\|}		\|}

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

ArrowHead294: Formatting

2024-11-14T14:15:38Z

Formatting

Show changes

Plumtree: Infobox ET added

2022-10-05T18:42:51Z

Infobox ET added

← Older revision		Revision as of 18:42, 5 October 2022
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			{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo\|60 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]). The patent val has a generally sharp tendency for harmonics up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the [[7-odd-limit\|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).		'''[[EDF\|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo\|60 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]). The patent val has a generally sharp tendency for harmonics up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the [[7-odd-limit\|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).

Moremajorthanmajor at 22:41, 19 August 2019

2019-08-19T22:41:01Z

← Older revision		Revision as of 22:41, 19 August 2019
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	\| \|additional ratios of 7 and 11 (assuming flat values for primes)		\| \|additional ratios of 7 and 11 (assuming flat values for primes)
	\|-		\|-
	\| \|0		\| colspan="2"\|0
	\| \|0
	\| \|		\| \|
	\| \|		\| \|

Moremajorthanmajor at 00:10, 6 March 2019

2019-03-06T00:10:34Z

@@ Line 18: / Line 18: @@
 | |1
 | |20.0559
-| |
+| |81/80
 | |
 |-
@@ Line 28: / Line 28: @@
 | |3
 | |60.1676
-| |
+| |28/27, 27/26
 | |
 |-
@@ Line 34: / Line 34: @@
 | |80.2234
 | |
-| |
+| |21/20
 |-
 | |5
@@ Line 252: / Line 252: @@
 |-
 | |48
-| |962..6811
+| |962.6811
 | |26/15
 | |7/4
@@ Line 315: / Line 315: @@
 | |
 | |
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]

Moremajorthanmajor at 19:49, 23 February 2019

2019-02-23T19:49:40Z

Show changes

Xenllium: Created page with "'''Division of the just perfect fifth into 35 equal parts''' (35EDF) is related to 60 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."

2019-02-10T01:20:17Z

Created page with "'''Division of the just perfect fifth into 35 equal parts''' (35EDF) is related to 60 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."

New page

'''[[EDF|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo|60 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]). The patent val has a generally sharp tendency for harmonics up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the [[7-odd-limit|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).

Lookalikes: [[60edo]], [[95edt]]

[[Category:Edf]]
[[Category:Edonoi]]