92edo: Difference between revisions

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== Theory ==

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{{c}} 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)~~.

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{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than that of [[26edo]] and only 0.102{{c}} sharp of [[1/2-comma meantone]]; the 92bcccd val [[support]]s [[flattone]], while the 92bcccdd val supports [[Meantone_family#Flattertone|flattertone]].

=== Odd harmonics ===

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== Intervals ==

== Instruments ==

A [[Lumatone mapping for 92edo]] is available.

== Music==

; [[Bryan Deister]]

* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)

* [https://www.youtube.com/watch?v=qWAinBYHwtE ''92edo waltz''] (2025)

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 == Theory ==
-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{{c}} 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).
+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{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than that of [[26edo]] and only 0.102{{c}} sharp of [[1/2-comma meantone]]; the 92bcccd val [[support]]s [[flattone]], while the 92bcccdd val supports [[Meantone_family#Flattertone|flattertone]].
 === Odd harmonics ===
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 == Intervals ==
 {{Interval table}}
+== Instruments ==
+A [[Lumatone mapping for 92edo]] is available.
+== Music==
+; [[Bryan Deister]]
+* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)
+* [https://www.youtube.com/watch?v=qWAinBYHwtE ''92edo waltz''] (2025)