User:Eliora/1ed81/80 - Revision history

Fredg999: Propose merge

2025-08-01T14:11:53Z

Propose merge

← Older revision		Revision as of 14:11, 1 August 2025
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			{{todo\|merge articles\|inline=1\|text=Merge into [[81/80]] and/or [[56edo]]? (in a "[[stretched and compressed tuning]]s" section)}}
	{{Infobox ET\|1ed81/80}}		{{Infobox ET\|1ed81/80}}

BudjarnLambeth: BudjarnLambeth moved page 1ed81/80 to User:Eliora/1ed81/80: Notability

2025-05-19T02:54:13Z

BudjarnLambeth moved page 1ed81/80 to User:Eliora/1ed81/80: Notability

← Older revision	Revision as of 02:54, 19 May 2025
(No difference)

FloraC: Undo revision 195258 by MisterShafXen (talk). No overwide tables

2025-05-06T15:45:17Z

Undo revision 195258 by MisterShafXen (talk). No overwide tables

← Older revision		Revision as of 15:45, 6 May 2025
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	== Theory ==		== Theory ==
	{{Harmonics in equal\|1\|81\|80\|columns=40}}		{{Harmonics in equal\|1\|81\|80\|columns=11}}

	1ed81/80 can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].		1ed81/80 can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].

	AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.		AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.

MisterShafXen: /* Theory */

2025-05-05T12:08:47Z

Theory

← Older revision		Revision as of 12:08, 5 May 2025
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	== Theory ==		== Theory ==
	{{Harmonics in equal\|1\|81\|80\|columns=11}}		{{Harmonics in equal\|1\|81\|80\|columns=40}}

	1ed81/80 can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].		1ed81/80 can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].

	AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.		AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.

BudjarnLambeth: Added link to orphaned page

2024-09-18T23:11:54Z

Added link to orphaned page

← Older revision		Revision as of 23:11, 18 September 2024
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	{{Infobox ET\|1ed81/80}}		{{Infobox ET\|1ed81/80}}

	'''1 equal division of 81/80''' ('''1ed81/80'''), also known as '''ambitonal sequence of 81/80''' ('''AS81/80''') or '''81/80 equal-step tuning''', is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 edo.		'''1 equal division of 81/80''' ('''1ed81/80'''), also known as '''ambitonal sequence of 81/80''' ('''AS81/80''') or '''81/80 equal-step tuning''', is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 edo. It is almost exactly [[80edn]].

	== Theory ==		== Theory ==

Cmloegcmluin: Cmloegcmluin moved page 81/80 equal-step tuning to 1ed81/80: make 1ed name primary per https://en.xen.wiki/w/Talk:CET

2023-11-07T20:02:23Z

Cmloegcmluin moved page 81/80 equal-step tuning to 1ed81/80: make 1ed name primary per https://en.xen.wiki/w/Talk:CET

← Older revision	Revision as of 20:02, 7 November 2023
(No difference)

Cmloegcmluin: make 1ed name primary and add AS name, per https://en.xen.wiki/w/Talk:CET

2023-11-07T20:02:08Z

make 1ed name primary and add AS name, per https://en.xen.wiki/w/Talk:CET

← Older revision		Revision as of 20:02, 7 November 2023
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	{{Infobox ET\|1ed81/80}}		{{Infobox ET\|1ed81/80}}

	'''81/80 ~~equal-step tuning~~''' (~~AS81~~/80, ambitonal sequence 81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 edo.		'''1 equal division of 81/80''' ('''1ed81/80'''), also known as '''ambitonal sequence of 81/80''' ('''AS81/80''') or '''81/80 equal-step tuning''', is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 edo.

	== Theory ==		== Theory ==
	{{Harmonics in equal\|1\|81\|80\|columns=11}}		{{Harmonics in equal\|1\|81\|80\|columns=11}}

	81/80 ~~equal-step tuning~~ can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].		1ed81/80 can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].

	AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.		AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.

FloraC: Style and restore number of columns to 11 for readability

2022-10-27T07:18:45Z

Style and restore number of columns to 11 for readability

← Older revision		Revision as of 07:18, 27 October 2022
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	{{Infobox ET\|1ed81/80}}		{{Infobox ET\|1ed81/80}}

	'''81/~~80s~~ equal-step tuning''' (AS81/80, ambitonal sequence 81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 ~~EDO~~.		'''81/80 equal-step tuning''' (AS81/80, ambitonal sequence 81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 edo.

	== Theory ==		== Theory ==
			{{Harmonics in equal\|1\|81\|80\|columns=11}}
	{{~~harmonics~~ in equal\|1\|81\|80\|columns=20}}

	81/~~80s~~ equal ~~temperament~~ can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its ~~ED2~~ equivalent, ~~however~~ the closest direct approximation is [[56edo]].		81/80 equal-step tuning can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its edo equivalent. However, the closest direct approximation is [[56edo]].

	AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.		AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.

Eliora at 18:23, 26 October 2022

2022-10-26T18:23:48Z

← Older revision		Revision as of 18:23, 26 October 2022
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			{{Infobox ET\|1ed81/80}}

	'''81/80s equal-step tuning''' (AS81/80, ambitonal sequence 81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 EDO.		'''81/80s equal-step tuning''' (AS81/80, ambitonal sequence 81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 EDO.

Eliora at 21:11, 26 January 2022

2022-01-26T21:11:10Z

← Older revision		Revision as of 21:11, 26 January 2022
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	'''81/80s equal ~~temperament~~''' (AS81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 EDO.		'''81/80s equal-step tuning''' (AS81/80, ambitonal sequence 81/80) is an equal multiplication of the [[syntonic comma]]. It corresponds to 55.79763 EDO.

	== Theory ==		== Theory ==
	81~~/80s equal temperament can be regarded as a subset of 5-limit just intonation.~~
			{{harmonics in equal\|1\|81\|80\|columns=20}}

	Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions.		81/80s equal temperament can be regarded as a subset of 5-limit just intonation. Some intervals it approximates well are [[5/4]], [[7/4]], [[12/11]], [[14/13]], and [[15/11]]. In addition, it represents well certain compound intervals such as [[8/3]], [[11/1]], [[12/1]] while omitting their octave reductions. With a stretch, [[53edo]] can be regarded as its ED2 equivalent, however the closest direct approximation is [[56edo]].

	~~With~~ a ~~stretch~~, ~~[[53edo]] can be regarded as its ED2 equivalent~~.		AS81/80 has a good representation of the 11.17.19 prime number subgroup. This time, the octave equivalence is not applied.
	~~{{harmonics in equal\|1\|81\|80\|columns=11}}~~