1342edo - Revision history

Eufalesio: added some links

2025-10-29T16:34:16Z

added some links

← Older revision		Revision as of 16:34, 29 October 2025
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	{{ED intro}}		{{ED intro}}

	1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit monster—[[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out [[kwazy comma\|kwazy]], {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.		1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit monster—[[2684edo]], so it probably makes more sense as a [[2.3.5.13 subgroup\|2.3.5.13]] [[subgroup]] temperament. In the 5-limit it tempers out [[kwazy comma\|kwazy]], {{monzo\| -53 10 16 }}, [[senior]] {{monzo\| -17 62 -35 }}, and [[egads]], {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out [[Catasma\|140625/140608]], providing the optimal patent val for [[Very high accuracy temperaments#Catabolic\|catabolic]].

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

ArrowHead294 at 23:13, 20 February 2025

2025-02-20T23:13:21Z

← Older revision		Revision as of 23:13, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1342~~}}		{{ED intro}}

	1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit ~~monster –~~ [[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out [[kwazy comma\|kwazy]], {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.		1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit monster—[[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out [[kwazy comma\|kwazy]], {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.

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

FloraC: +link

2024-04-23T13:52:43Z

+link

← Older revision		Revision as of 13:52, 23 April 2024
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	{{EDO intro\|1342}}		{{EDO intro\|1342}}

	1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit monster – [[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out kwazy, {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.		1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit monster – [[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out [[kwazy comma\|kwazy]], {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.

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

FloraC: Adopt template: Factorization; misc. cleanup

2023-10-31T09:25:15Z

Adopt template: Factorization; misc. cleanup

← Older revision		Revision as of 09:25, 31 October 2023
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	{{EDO intro\|1342}}		{{EDO intro\|1342}}

	1342edo is [[consistent]] to the 9-odd-limit, but there is a large relative delta for ~~the 7th~~ and ~~the 11th harmonics~~. Its notability lies in the utility as every other step of the full 13-limit monster – [[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out kwazy, {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.		1342edo is [[consistent]] to the [[9-odd-limit]], but there is a large relative delta for [[harmonic]]s [[7/1\|7]] and [[11/1\|11]]. Its notability lies in the utility as every other step of the full 13-limit monster – [[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out kwazy, {{monzo\| -53 10 16 }}, senior {{monzo\| -17 62 -35 }}, and egads, {{monzo\| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|1342\|columns=11}}		{{Harmonics in equal\|1342\|columns=11}}

	=== ~~Divisors~~ ===		=== Subsets and supersets ===
	Since 1342 factors as ~~2 × 11 × 61~~, 1342edo has subset edos {{EDOs\| 2, 11, 22, 61, 122, and 671 }}.		Since 1342 factors as {{factorization\|1342}}, 1342edo has subset edos {{EDOs\| 2, 11, 22, 61, 122, and 671 }}. 2684edo, which doubles it, corrects the harmonics 7 and 11 to near-just qualities.

BudjarnLambeth at 06:53, 9 July 2023

2023-07-09T06:53:08Z

← Older revision		Revision as of 06:53, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1342}}		{{EDO intro\|1342}}

BudjarnLambeth at 05:13, 9 July 2023

2023-07-09T05:13:17Z

← Older revision		Revision as of 05:13, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|1342}}		{{EDO intro\|1342}}

FloraC: Section title

2023-01-16T05:19:50Z

Section title

← Older revision		Revision as of 05:19, 16 January 2023
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	{{Harmonics in equal\|1342\|columns=11}}		{{Harmonics in equal\|1342\|columns=11}}

	=== ~~Miscelleaneous properties~~ ===		=== Divisors ===
	Since 1342 factors as 2 × 11 × 61, 1342edo has subset edos {{EDOs\| 2, 11, 22, 61, 122, and 671 }}.		Since 1342 factors as 2 × 11 × 61, 1342edo has subset edos {{EDOs\| 2, 11, 22, 61, 122, and 671 }}.

	~~[[Category:Equal divisions of the octave\|####]] <!-- 4-digit number -->~~

FloraC: Created page with "{{Infobox ET}} {{EDO intro|1342}} 1342edo is consistent to the 9-odd-limit, but there is a large relative delta for the 7th and the 11th harmonics. Its notability lies in..."

2022-11-15T10:34:22Z

Created page with "{{Infobox ET}} {{EDO intro|1342}} 1342edo is consistent to the 9-odd-limit, but there is a large relative delta for the 7th and the 11th harmonics. Its notability lies in..."

New page

{{Infobox ET}}
{{EDO intro|1342}}

1342edo is [[consistent]] to the 9-odd-limit, but there is a large relative delta for the 7th and the 11th harmonics. Its notability lies in the utility as every other step of the full 13-limit monster – [[2684edo]], so it probably makes more sense as a 2.3.5.13 [[subgroup]] temperament. In the 5-limit it tempers out kwazy, {{monzo| -53 10 16 }}, senior {{monzo| -17 62 -35 }}, and egads, {{monzo| -36 52 51 }}; in the 2.3.5.13 subgroup it tempers out 140625/140608.

=== Prime harmonics ===
{{Harmonics in equal|1342|columns=11}}

=== Miscelleaneous properties ===
Since 1342 factors as 2 × 11 × 61, 1342edo has subset edos {{EDOs| 2, 11, 22, 61, 122, and 671 }}.

[[Category:Equal divisions of the octave|####]]