1224edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-21T05:46:43Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:46, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1224~~}}		{{ED intro}}

	1224edo is [[enfactoring\|enfactored]] in the [[11-limit]], with the same tuning as [[612edo]], but it corrects the [[harmonic]]s [[13/1\|13]] and [[17/1\|17]] to work better with the flat tendency of the lower harmonics. It [[tempering out\|tempers out]] [[4225/4224]], [[10648/10647]] in the 13-limit; [[2431/2430]], [[4914/4913]] in the 17-limit; [[1729/1728]], [[2926/2925]] among others in the 19-limit. It provides the [[optimal patent val]] for the 19-limit [[semihemiennealimmal]] temperament with fine tunes of [[23/1\|23]], [[29/1\|29]] and [[31/1\|31]].		1224edo is [[enfactoring\|enfactored]] in the [[11-limit]], with the same tuning as [[612edo]], but it corrects the [[harmonic]]s [[13/1\|13]] and [[17/1\|17]] to work better with the flat tendency of the lower harmonics. It [[tempering out\|tempers out]] [[4225/4224]], [[10648/10647]] in the 13-limit; [[2431/2430]], [[4914/4913]] in the 17-limit; [[1729/1728]], [[2926/2925]] among others in the 19-limit. It provides the [[optimal patent val]] for the 19-limit [[semihemiennealimmal]] temperament with fine tunes of [[23/1\|23]], [[29/1\|29]] and [[31/1\|31]].

2024-08-20T16:42:09Z

+some commas

← Older revision		Revision as of 16:42, 20 August 2024
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	{{EDO intro\|1224}}		{{EDO intro\|1224}}

	1224edo is [[~~Enfactoring~~\|enfactored]] in the 11-limit, with the same tuning as [[612edo]], but it corrects the [[harmonic]]s [[13/1\|13]] and [[17/1\|17]] to work better with the flat tendency of the lower harmonics. It provides the [[optimal patent val]] for the 19-limit semihemiennealimmal temperament with fine tunes of [[23/1\|23]], [[29/1\|29]] and [[31/1\|31]].		1224edo is [[enfactoring\|enfactored]] in the [[11-limit]], with the same tuning as [[612edo]], but it corrects the [[harmonic]]s [[13/1\|13]] and [[17/1\|17]] to work better with the flat tendency of the lower harmonics. It [[tempering out\|tempers out]] [[4225/4224]], [[10648/10647]] in the 13-limit; [[2431/2430]], [[4914/4913]] in the 17-limit; [[1729/1728]], [[2926/2925]] among others in the 19-limit. It provides the [[optimal patent val]] for the 19-limit [[semihemiennealimmal]] temperament with fine tunes of [[23/1\|23]], [[29/1\|29]] and [[31/1\|31]].

	=== Prime harmonics ===		=== Prime harmonics ===

2023-10-31T10:03:03Z

Adopt template: Factorization; misc. cleanup

← Older revision		Revision as of 10:03, 31 October 2023
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	{{EDO intro\|1224}}		{{EDO intro\|1224}}

	1224edo is [[Enfactoring\|enfactored]] in the 11-limit, with the same tuning as [[612edo]], but it corrects the ~~harmonics~~ [[13/1\|13]] and [[17/1\|17]] to work better with the ~~other~~ harmonics. It provides the [[optimal patent val]] for the 19-limit semihemiennealimmal temperament with fine tunes of 23, 29 and 31.		1224edo is [[Enfactoring\|enfactored]] in the 11-limit, with the same tuning as [[612edo]], but it corrects the [[harmonic]]s [[13/1\|13]] and [[17/1\|17]] to work better with the flat tendency of the lower harmonics. It provides the [[optimal patent val]] for the 19-limit semihemiennealimmal temperament with fine tunes of [[23/1\|23]], [[29/1\|29]] and [[31/1\|31]].

	=== Prime harmonics ===		=== Prime harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 1224 factors into ~~2<sup>3</sup> × 3<sup>2</sup> × 17~~, 1224edo has subset edos {{EDOs\| 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, and 612 }}.		Since 1224 factors into {{factorization\|1224}}, 1224edo has subset edos {{EDOs\| 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, and 612 }}.

2023-07-09T06:51:29Z

2023-07-09T05:17:28Z

2023-06-10T06:49:12Z

Expansion

← Older revision		Revision as of 06:49, 10 June 2023
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	{{EDO intro\|1224}}		{{EDO intro\|1224}}

	==~~Theory~~==		1224edo is [[Enfactoring\|enfactored]] in the 11-limit, with the same tuning as [[612edo]], but it corrects the harmonics [[13/1\|13]] and [[17/1\|17]] to work better with the other harmonics. It provides the [[optimal patent val]] for the 19-limit semihemiennealimmal temperament with fine tunes of 23, 29 and 31.

			=== Prime harmonics ===
	{{Harmonics in equal\|1224}}		{{Harmonics in equal\|1224}}
	1224edo ~~is the optimal patent val of 19-limit semihemiennealimmal temperament with fine tunes of 23~~, 29 and 31.
			=== Subsets and supersets ===
			Since 1224 factors into 2<sup>3</sup> × 3<sup>2</sup> × 17, 1224edo has subset edos {{EDOs\| 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, and 612 }}.

2023-06-01T22:51:44Z

Theory

← Older revision		Revision as of 22:51, 1 June 2023
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	==Theory==		==Theory==
	{{Harmonics in equal\|1224}}		{{Harmonics in equal\|1224}}
	1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.		1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament with fine tunes of 23, 29 and 31.

2023-06-01T22:48:58Z

Theory

← Older revision		Revision as of 22:48, 1 June 2023
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	{{EDO intro\|1224}}		{{EDO intro\|1224}}

			==Theory==
			{{Harmonics in equal\|1224}}
	1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.		1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.

2023-06-01T22:48:04Z

← Older revision		Revision as of 22:48, 1 June 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1224}}		{{EDO intro\|1224}}

			1224edo is the optimal patent val of 19-limit semihemiennealimmal temperament.

2023-06-01T22:47:01Z

Created page with "{{Infobox ET}} {{EDO intro|1224}}"

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