42edf - Revision history

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

2025-08-01T19:23:03Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:23, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edonoi]]~~

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

2025-08-01T19:00:13Z

Removing from Category:Edf using Cat-a-lot

← Older revision		Revision as of 19:00, 1 August 2025
Line 358:		Line 358:

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

ArrowHead294 at 19:05, 7 February 2025

2025-02-07T19:05:56Z

← Older revision		Revision as of 19:05, 7 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 42 equal parts''' (42EDF) is related to [[72edo]], 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 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]).		{{ED intro}}

	Unlike 72edo, it is only consistent up to the 7-[[integer-limit]], with discrepancy for the 8th harmonic (three octaves).		42EDF is related to [[72edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]], which results in [[octave]]s being [[Octave stretch\|stretched]] by about 3.3514{{c}}. This corresponds to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]. Unlike 72edo, it is only consistent up to the 7-[[integer-limit]], with discrepancy for the 8th harmonic (three octaves).

	Lookalikes: [[72edo]], [[114edt]], [[186ed6]]		Lookalikes: [[72edo]], [[114edt]], [[186ed6]]

BudjarnLambeth: Fix misleading link, add harmonics, add links, add todo

2024-12-18T04:58:06Z

Fix misleading link, add harmonics, add links, add todo

← Older revision		Revision as of 04:58, 18 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 42 equal parts''' (42EDF) is related to [[72edo~~\|72 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 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]). Unlike 72edo, 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 42 equal parts''' (42EDF) is related to [[72edo]], 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 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]).

			Unlike 72edo, it is only consistent up to the 7-[[integer-limit]], with discrepancy for the 8th harmonic (three octaves).

	Lookalikes: [[72edo]], [[114edt]], [[186ed6]]		Lookalikes: [[72edo]], [[114edt]], [[186ed6]]

			== Harmonics ==
			{{Harmonics in equal\|42\|3\|2\|intervals=prime}}
			{{Harmonics in equal\|42\|3\|2\|intervals=prime\|start=12\|collapsed=1}}

			== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
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	\|}		\|}

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

ArrowHead294 at 14:30, 14 November 2024

2024-11-14T14:30:28Z

Show changes

Plumtree: Infobox ET added

2022-10-05T18:45:42Z

Infobox ET added

← Older revision		Revision as of 18:45, 5 October 2022
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			{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 42 equal parts''' (42EDF) is related to [[72edo\|72 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 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]). Unlike 72edo, 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 42 equal parts''' (42EDF) is related to [[72edo\|72 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 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]). Unlike 72edo, it is only consistent up to the [[7-odd-limit\|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).

Moremajorthanmajor at 22:43, 19 August 2019

2019-08-19T22:43:13Z

← Older revision		Revision as of 22:43, 19 August 2019
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	\| \|approximate ratios (11-limit)		\| \|approximate ratios (11-limit)
	\|-		\|-
	\| \|0		\| colspan="2"\|0
	\| \|0
	\| \|1/1		\| \|1/1
	\|-		\|-

Moremajorthanmajor at 00:29, 6 March 2019

2019-03-06T00:29:34Z

@@ Line 299: / Line 299: @@
 | |1203.3514
 | |2/1
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]

Moremajorthanmajor at 20:37, 23 February 2019

2019-02-23T20:37:22Z

Show changes

Xenllium: Created page with "'''Division of the just perfect fifth into 42 equal parts''' (42EDF) is related to 72 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."

2019-02-11T02:44:13Z

Created page with "'''Division of the just perfect fifth into 42 equal parts''' (42EDF) is related to 72 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 42 equal parts''' (42EDF) is related to [[72edo|72 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 16.7132 cents (corresponding to 71.7995 [[edo]], practically identical to every fifth step of [[359edo]]). Unlike 72edo, it is only consistent up to the [[7-odd-limit|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).

Lookalikes: [[72edo]], [[114edt]]

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