92edo: Difference between revisions

Rework, expand, -redundant categories ("category: quartismic" should only be added if it's a great tuning for it)
+subsets and supersets
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|92}} The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).
{{EDO intro|92}}
 
The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4 cents sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than [[26edo]], and the 92bcccd val [[support]]s [[flattone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|92}}
{{Harmonics in equal|92}}
=== Subsets and supersets ===
Since 92 factors into 2<sup>2</sup> × 23, 92edo has subset edos {{EDOs| 2, 4, 23, and 46 }}.