92edo - Revision history

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''92edo waltz''] (2025)

2025-09-26T15:50:56Z

Music: Add Bryan Deister's ''92edo waltz''] (2025)

← Older revision		Revision as of 15:50, 26 September 2025
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)		* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)
			* [https://www.youtube.com/watch?v=qWAinBYHwtE ''92edo waltz''] (2025)

Lucius Chiaraviglio: /* Music */ Insert Instruments section before this, now that a Lumatone mapping for 92edo is now available

2025-06-04T15:23:54Z

Music: Insert Instruments section before this, now that a Lumatone mapping for 92edo is now available

← Older revision		Revision as of 15:23, 4 June 2025
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	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

			== Instruments ==

			A [[Lumatone mapping for 92edo]] is available.

	== Music==		== Music==
	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)		* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)

Lucius Chiaraviglio: /* Theory */ 92bcccdd supports Flattertone; also fix wording around this

2025-06-02T01:00:18Z

Theory: 92bcccdd supports Flattertone; also fix wording around this

← Older revision		Revision as of 01:00, 2 June 2025
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	== Theory ==		== Theory ==
	The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]]~~, and the 92bcccd val [[support]]s [[flattone]],~~ and is only 0.102{{c}} sharp of [[1/2-comma meantone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).		The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than that of [[26edo]] and only 0.102{{c}} sharp of [[1/2-comma meantone]]; the 92bcccd val [[support]]s [[flattone]], while the 92bcccdd val supports [[Meantone_family#Flattertone\|flattertone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).

	=== Odd harmonics ===		=== Odd harmonics ===

Lucius Chiaraviglio: /* Theory */ 92bccc(d) is very close to 1/2-comma meantone

2025-06-02T00:42:57Z

Theory: 92bccc(d) is very close to 1/2-comma meantone

← Older revision		Revision as of 00:42, 2 June 2025
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	== Theory ==		== Theory ==
	The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).		The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]], and is only 0.102{{c}} sharp of [[1/2-comma meantone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).

	=== Odd harmonics ===		=== Odd harmonics ===

Lucius Chiaraviglio: /* Intervals */ Insert Music section after this, starting with ''microtonal improvisation in 92edo'' (2025)

2025-06-01T19:14:49Z

Intervals: Insert Music section after this, starting with ''microtonal improvisation in 92edo'' (2025)

← Older revision		Revision as of 19:14, 1 June 2025
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	== Intervals ==		== Intervals ==
	{{Interval table}}		{{Interval table}}

			== Music==
			; [[Bryan Deister]]
			* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)

ArrowHead294 at 16:25, 20 February 2025

2025-02-20T16:25:35Z

← Older revision		Revision as of 16:25, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|92~~}}		{{ED intro}}

	== Theory ==		== Theory ==
	The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 ~~cents~~ sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).		The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).

	=== Odd harmonics ===		=== Odd harmonics ===

FloraC: Sectioning

2024-06-17T05:24:06Z

Sectioning

← Older revision		Revision as of 05:24, 17 June 2024
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	{{EDO intro\|92}}		{{EDO intro\|92}}

			== Theory ==
	The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).		The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).

BudjarnLambeth: Added interval table

2024-01-20T00:38:58Z

Added interval table

← Older revision		Revision as of 00:38, 20 January 2024
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 92 factors into 2<sup>2</sup> × 23, 92edo has subset edos {{EDOs\| 2, 4, 23, and 46 }}.		Since 92 factors into 2<sup>2</sup> × 23, 92edo has subset edos {{EDOs\| 2, 4, 23, and 46 }}.

			== Intervals ==
			{{Interval table}}

FloraC: +subsets and supersets

2023-10-02T14:17:45Z

+subsets and supersets

← Older revision		Revision as of 14:17, 2 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|92}} The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).		{{EDO intro\|92}}

			The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|92}}		{{Harmonics in equal\|92}}

			=== Subsets and supersets ===
			Since 92 factors into 2<sup>2</sup> × 23, 92edo has subset edos {{EDOs\| 2, 4, 23, and 46 }}.

FloraC: Rework, expand, -redundant categories ("category: quartismic" should only be added if it's a great tuning for it)

2023-10-02T13:53:52Z

Rework, expand, -redundant categories ("category: quartismic" should only be added if it's a great tuning for it)

← Older revision		Revision as of 13:53, 2 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	The ~~92 divisions of '''92edo''' measure 13.0435 cents each. 92~~ is [[contorted]] through the 17-limit, with the same tuning and ~~commas~~ as [[46edo]], and hence attracts little interest, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate 53\92 ~~generator~~ is a very flat ~~flattone~~ fifth, flatter even than [[26edo]]. 92edo is the highest in a series of four consecutive ~~EDOs~~ to temper out the [[quartisma]] (117440512/117406179).		{{EDO intro\|92}} The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1\|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).

	== ~~Prime intervals~~ ==		=== Odd harmonics ===
	{{~~primes~~ in ~~edo~~\|92}}		{{Harmonics in equal\|92}}

	~~[[Category:Equal divisions of the octave\|##]] <!-- 2-digit number -->~~
	~~[[Category:Quartismic]]~~