1092edo - Revision history

ArrowHead294 at 12:56, 21 February 2025

2025-02-21T12:56:31Z

← Older revision		Revision as of 12:56, 21 February 2025
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	1092edo is related to [[364edo]], but it differs in mapping for [[5/1\|5]] and [[11/1\|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament.		1092edo is related to [[364edo]], but it differs in mapping for [[5/1\|5]] and [[11/1\|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament.

	In higher limits, 1092edo is ~~good at~~ the 2.13.29.31.53.59 subgroup.		In higher limits, 1092edo is accurate in the 2.13.29.31.53.59 subgroup.

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

Francium: changed EDO intro to ED intro

2025-02-21T05:51:50Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:51, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1092~~}}		{{ED intro}}

	1092edo is related to [[364edo]], but it differs in mapping for [[5/1\|5]] and [[11/1\|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament.		1092edo is related to [[364edo]], but it differs in mapping for [[5/1\|5]] and [[11/1\|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament.

FloraC: +categories

2024-04-09T11:06:16Z

+categories

← Older revision		Revision as of 11:06, 9 April 2024
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 1092 factors into {{factorization\|1092}}, 1092edo has subset edos {{EDOs\| 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, and 546 }}.		Since 1092 factors into {{factorization\|1092}}, 1092edo has subset edos {{EDOs\| 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, and 546 }}.

			[[Category:Sextile]]
			[[Category:Loki]]

FloraC: +subsets and supersets; misc. cleanup

2023-10-31T10:45:13Z

+subsets and supersets; misc. cleanup

← Older revision		Revision as of 10:45, 31 October 2023
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	{{Infobox ET}}		{{Infobox ET}}

	{{EDO intro\|1092}}		{{EDO intro\|1092}}

	1092edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the [[13-odd-limit]]. It is not consistent higher than that ~~because~~ its mapping for [[15/8]] is off by one step of a stack of 3/2 and 5/4. It provides the optimal patent val for the [[sextile]] temperament and the rank-3 [[~~Kalismic temperaments#Loki\|~~loki]] temperament.		1092edo is related to [[364edo]], but it differs in mapping for [[5/1\|5]] and [[11/1\|11]]. Despite having large errors on harmonics, it is [[consistent]] in the [[13-odd-limit]]. It is not consistent higher than that as its mapping for [[15/8]] is off by one step of a stack of [[3/2]] and [[5/4]]. It provides the [[optimal patent val]] for the [[sextile]] temperament and the rank-3 [[loki]] temperament.

	In higher limits, 1092edo is good at the 2.13.29.31.53.59 subgroup.		In higher limits, 1092edo is good at the 2.13.29.31.53.59 subgroup.
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	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1092}}		{{Harmonics in equal\|1092}}

			=== Subsets and supersets ===
			Since 1092 factors into {{factorization\|1092}}, 1092edo has subset edos {{EDOs\| 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, and 546 }}.

BudjarnLambeth at 06:50, 9 July 2023

2023-07-09T06:50:00Z

← Older revision		Revision as of 06:50, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}

	{{EDO intro\|1092}}		{{EDO intro\|1092}}

BudjarnLambeth at 05:22, 9 July 2023

2023-07-09T05:22:30Z

← Older revision		Revision as of 05:22, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}

	{{EDO intro\|1092}}		{{EDO intro\|1092}}

Eliora at 16:51, 31 May 2023

2023-05-31T16:51:03Z

← Older revision		Revision as of 16:51, 31 May 2023
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	1092edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the [[13-odd-limit]]. It is not consistent higher than that because its mapping for [[15/8]] is off by one step of a stack of 3/2 and 5/4. It provides the optimal patent val for the [[sextile]] temperament and the rank-3 [[Kalismic temperaments#Loki\|loki]] temperament.		1092edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the [[13-odd-limit]]. It is not consistent higher than that because its mapping for [[15/8]] is off by one step of a stack of 3/2 and 5/4. It provides the optimal patent val for the [[sextile]] temperament and the rank-3 [[Kalismic temperaments#Loki\|loki]] temperament.

			In higher limits, 1092edo is good at the 2.13.29.31.53.59 subgroup.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1092}}		{{Harmonics in equal\|1092}}

Eliora: Created page with "{{Infobox ET}} {{EDO intro|1092}} 1092edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the 1..."

2023-05-31T16:47:40Z

Created page with "{{Infobox ET}} {{EDO intro|1092}} 1092edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the 1..."

New page

{{Infobox ET}}

{{EDO intro|1092}}

1092edo is related to 364edo, but it differs in mapping for 5 and 11. Despite having large errors on harmonics, it is consistent in the [[13-odd-limit]]. It is not consistent higher than that because its mapping for [[15/8]] is off by one step of a stack of 3/2 and 5/4. It provides the optimal patent val for the [[sextile]] temperament and the rank-3 [[Kalismic temperaments#Loki|loki]] temperament.

=== Odd harmonics ===
{{Harmonics in equal|1092}}