User:Eliora/1ed81/80: Difference between revisions

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'''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 ==

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.

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 {{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 ==
 {{Harmonics in equal|1|81|80|columns=11}}
-/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]].
+ed81/80 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.