24edf - Revision history

Hotcrystal0 at 23:37, 17 February 2026

2026-02-17T23:37:24Z

← Older revision		Revision as of 23:37, 17 February 2026
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	~~24edt~~ is the 6th [[highly composite equal division\|highly composite ~~edt~~]]. Its nontrivial subsets are {{EDs\|equave=t\| 2, 3, 4, 6, 8, and 12 }}.		24edf is the 6th [[highly composite equal division\|highly composite edf]]. Its nontrivial subsets are {{EDs\|equave=t\| 2, 3, 4, 6, 8, and 12 }}.

	== Intervals ==		== Intervals ==

ArrowHead294 at 12:50, 19 June 2025

2025-06-19T12:50:14Z

← Older revision		Revision as of 12:50, 19 June 2025
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	* [[95ed5]] – relative ed5		* [[95ed5]] – relative ed5
	* [[106ed6]] – relative ed6		* [[106ed6]] – relative ed6
			* [[147ed12]] – relative ed12
			* [[361ed448]] – close to the zeta-optimized tuning for 41edo

			[[Category:41edo]]

FloraC: /* Theory */ +subsets and supersets

2025-03-20T17:21:10Z

Theory: +subsets and supersets

← Older revision		Revision as of 17:21, 20 March 2025
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	{{Harmonics in equal\|24\|3\|2\|intervals=integer}}		{{Harmonics in equal\|24\|3\|2\|intervals=integer}}
	{{Harmonics in equal\|24\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 65edt (continued)}}		{{Harmonics in equal\|24\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 65edt (continued)}}

			=== Subsets and supersets ===
			24edt is the 6th [[highly composite equal division\|highly composite edt]]. Its nontrivial subsets are {{EDs\|equave=t\| 2, 3, 4, 6, 8, and 12 }}.

	== Intervals ==		== Intervals ==

FloraC: Cleanup

2025-03-20T17:18:02Z

Cleanup

Show changes

BudjarnLambeth: stub mbox, correct linking, add harmonics, make table collapsible

2024-12-19T06:21:29Z

stub mbox, correct linking, add harmonics, make table collapsible

← Older revision		Revision as of 06:21, 19 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 24 equal parts''' (24EDF) is related to [[41edo\|41 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 29.2481 cents. It is consistent to the [[~~15-odd-limit\|16-~~integer-limit]].		'''[[EDF\|Division of the just perfect fifth]] into 24 equal parts''' (24EDF) is related to [[41edo\|41 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 29.2481 cents. It is [[consistent]] to the 16-[[integer-limit]].

	Lookalikes: [[41edo]], [[65edt]], [[95ed5]]		Lookalikes: [[41edo]], [[65edt]], [[95ed5]]

			== Harmonics ==
			{{Harmonics in equal\|24\|3\|2\|intervals=prime}}
			{{Harmonics in equal\|24\|3\|2\|start=12\|collapsed=1\|intervals=prime}}

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable mw-collapsible"
			\|+ Intervals of 24edf
	\|-		\|-
	! \|		! \|
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	\|9/4		\|9/4
	\|}		\|}


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

Plumtree: Infobox ET added

2022-10-05T18:38:51Z

Infobox ET added

← Older revision		Revision as of 18:38, 5 October 2022
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			{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 24 equal parts''' (24EDF) is related to [[41edo\|41 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 29.2481 cents. It is consistent to the [[15-odd-limit\|16-integer-limit]].		'''[[EDF\|Division of the just perfect fifth]] into 24 equal parts''' (24EDF) is related to [[41edo\|41 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 29.2481 cents. It is consistent to the [[15-odd-limit\|16-integer-limit]].

Moremajorthanmajor at 22:36, 19 August 2019

2019-08-19T22:36:39Z

← Older revision		Revision as of 22:36, 19 August 2019
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	! \|Approximate Ratios in the [[11-limit]]		! \|Approximate Ratios in the [[11-limit]]
	\|-		\|-
	\| ~~style~~="~~text-align:center;~~" \|0		\| colspan="2" style="text-align:center;" \|0
	\| style="text-align:center;" \|0.00
	\| \|[[1/1]]		\| \|[[1/1]]
	\|-		\|-

Moremajorthanmajor at 18:18, 9 March 2019

2019-03-09T18:18:16Z

@@ Line 177: / Line 177: @@
 | style="text-align:center;" |1199.1731
 | |2/1
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]

Moremajorthanmajor at 23:11, 20 February 2019

2019-02-20T23:11:23Z

Show changes

Xenllium: Created page with "'''Division of the just perfect fifth into 24 equal parts''' (24EDF) is related to 41 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."

2019-01-31T23:05:19Z

Created page with "'''Division of the just perfect fifth into 24 equal parts''' (24EDF) is related to 41 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 24 equal parts''' (24EDF) is related to [[41edo|41 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 0.8269 cents compressed and the step size is about 29.2481 cents. It is consistent to the [[15-odd-limit|16-integer-limit]].

Lookalikes: [[41edo]], [[65edt]], [[95ed5]]

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