92edt - Revision history

FloraC: /* Theory */ address the tuning profile

2025-04-12T15:18:18Z

Theory: address the tuning profile

← Older revision		Revision as of 15:18, 12 April 2025
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	== Theory ==		== Theory ==
	92edt is related to [[58edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.~~9414~~ cents compressed. Like 58edo, 92edt is consistent to the [[~~17-odd-~~limit\|18-integer-limit]].		92edt is related to [[58edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.941 cents compressed. Like 58edo, 92edt is consistent to the [[integer limit\|18-integer-limit]]. The [[prime harmonic]]s [[5/1\|5]], [[7/1\|7]], [[11/1\|11]], and [[13/1\|13]], which are tuned sharp in 58edo, remain sharp here, but significantly less so. The [[17/1\|17]], which is flat to begin with, becomes worse.

	=== Harmonics ===		=== Harmonics ===

FloraC: /* Theory */ formatting

2025-03-18T16:24:54Z

Theory: formatting

← Older revision		Revision as of 16:24, 18 March 2025
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 92 factors into primes as 2<sup>2</sup> × 23, 92edt contains subset edts {{EDs\|equave=t\| 2, 4, 23, and 46 }}.		Since 92 factors into primes as {{nowrap\| 2<sup>2</sup> × 23 }}, 92edt contains subset edts {{EDs\|equave=t\| 2, 4, 23, and 46 }}.

	== Intervals ==		== Intervals ==

FloraC: /* Theory */ +subsets and supersets

2025-03-18T16:23:20Z

Theory: +subsets and supersets

← Older revision		Revision as of 16:23, 18 March 2025
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	{{Harmonics in equal\|92\|3\|1\|intervals=integer}}		{{Harmonics in equal\|92\|3\|1\|intervals=integer}}
	{{Harmonics in equal\|92\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 92edt (continued)}}		{{Harmonics in equal\|92\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 92edt (continued)}}

			=== Subsets and supersets ===
			Since 92 factors into primes as 2<sup>2</sup> × 23, 92edt contains subset edts {{EDs\|equave=t\| 2, 4, 23, and 46 }}.

	== Intervals ==		== Intervals ==

FloraC: Rework

2025-03-18T15:36:28Z

Rework

← Older revision		Revision as of 15:36, 18 March 2025
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo\|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit\|18-integer-limit]].		{{ED intro}}

	~~Lookalikes:~~ [[58edo]], ~~[[150ed6]], [[163ed7]]~~, [[~~34edf~~]]		== Theory ==
			92edt is related to [[58edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed. Like 58edo, 92edt is consistent to the [[17-odd-limit\|18-integer-limit]].

			=== Harmonics ===
			{{Harmonics in equal\|92\|3\|1\|intervals=integer}}
			{{Harmonics in equal\|92\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 92edt (continued)}}

	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

	== ~~Harmonics~~ ==		== See also ==
	~~{{Harmonics in equal~~		* [[34edf]] – relative edf
	~~\| steps = 92~~		* [[58edo]] – relative edo
	~~\| num = 3~~		* [[150ed6]] – relative ed6
	~~\| denom = 1~~		* [[163ed7]] – relative ed7
	~~\| intervals = integer~~
	}}
	~~{{Harmonics in equal~~
	~~\| steps = 92~~
	~~\| num = 3~~
	~~\| denom = 1~~
	~~\| start = 12~~
	~~\| collapsed = 1~~
	~~\| intervals = integer~~
	}}

	[[~~Category:Edt~~]]
	[[~~Category:Edonoi~~]]

BudjarnLambeth: Add intervals add harmonic

2024-10-06T07:46:07Z

Add intervals add harmonic

@@ Line 3: / Line 3: @@
 Lookalikes: [[58edo]], [[150ed6]], [[163ed7]], [[34edf]]
 [[Category:Edt]]
 [[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T20:07:19Z

Infobox ET added

← Older revision		Revision as of 20:07, 5 October 2022
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			{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo\|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit\|18-integer-limit]].		'''[[Edt\|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo\|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit\|18-integer-limit]].

Xenllium at 12:34, 3 March 2019

2019-03-03T12:34:24Z

← Older revision		Revision as of 12:34, 3 March 2019
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	'''[[Edt\|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo\|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit\|18-integer-limit]].		'''[[Edt\|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo\|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit\|18-integer-limit]].

			Lookalikes: [[58edo]], [[150ed6]], [[163ed7]], [[34edf]]

	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Xenllium: Created page with "'''Division of the third harmonic into 92 equal parts''' (92EDT) is related to 58 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0..."

2019-03-03T12:31:08Z

Created page with "'''Division of the third harmonic into 92 equal parts''' (92EDT) is related to 58 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0..."

New page

'''[[Edt|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit|18-integer-limit]].

[[Category:Edt]]
[[Category:Edonoi]]