92edo: Difference between revisions

Intervals: Insert Music section after this, starting with ''microtonal improvisation in 92edo'' (2025)
Music: Add Bryan Deister's ''92edo waltz''] (2025)
 
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== Theory ==
== 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]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).


=== Odd harmonics ===
=== Odd harmonics ===
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== Intervals ==
== Intervals ==
{{Interval table}}
{{Interval table}}
== Instruments ==
A [[Lumatone mapping for 92edo]] is available.


== Music==
== Music==
; [[Bryan Deister]]
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)
* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)
* [https://www.youtube.com/watch?v=qWAinBYHwtE ''92edo waltz''] (2025)