682edo: Difference between revisions

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682edo is [[consistent]] in the [[9-odd-limit]]. In the 7-limit, 682edo [[support]]s the [[septisemitonic]] temperament, described as the 128 & 142 temperament. It is a tuning for the [[major arcana]] temperament in the ~~5-limit, dividing the octave into 22 parts, and supports an alternative~~ 7-limit ~~extension to it~~. It also shares the mapping for [[5/1|5]] with [[31edo]], tempering out the {{monzo|72 0 -31}} comma.

682edo is [[consistent]] in the [[9-odd-limit]], with a sharp tendency for [[3/1|3]], [[5/1|5]], and [[7/1|7]]. In the 7-limit, 682edo [[support]]s the [[septisemitonic]] temperament, described as the 128 & 142 temperament. It is a tuning for the [[major arcana]] temperament in the 7-limit. It also shares the mapping for [[5/1|5]] with [[31edo]], tempering out the {{monzo|72 0 -31}} comma.

Beyond that, 682edo is a strong 2.3.19.23 subgroup tuning.

=== Odd harmonics ===

=== Subsets and supersets ===

682edo factors as {{Factorization|682}}, so it notably contains [[22edo]] and [[31edo]].

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 {{Infobox ET}}
-{{EDO intro|682}}
+{{ED intro}}
-edo is [[consistent]] in the [[9-odd-limit]]. In the 7-limit, 682edo [[support]]s the [[septisemitonic]] temperament, described as the 128 & 142 temperament. It is a tuning for the [[major arcana]] temperament in the 5-limit, dividing the octave into 22 parts, and supports an alternative 7-limit extension to it. It also shares the mapping for [[5/1|5]] with [[31edo]], tempering out the {{monzo|72 0 -31}} comma.
+edo is [[consistent]] in the [[9-odd-limit]], with a sharp tendency for [[3/1|3]], [[5/1|5]], and [[7/1|7]]. In the 7-limit, 682edo [[support]]s the [[septisemitonic]] temperament, described as the 128 & 142 temperament. It is a tuning for the [[major arcana]] temperament in the 7-limit. It also shares the mapping for [[5/1|5]] with [[31edo]], tempering out the {{monzo|72 0 -31}} comma.
 Beyond that, 682edo is a strong 2.3.19.23 subgroup tuning.
 === Odd harmonics ===
 {{harmonics in equal|682}}
 === Subsets and supersets ===
 edo factors as {{Factorization|682}}, so it notably contains [[22edo]] and [[31edo]].