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

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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}}


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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.