92edo: Difference between revisions
→Intervals: Insert Music section after this, starting with ''microtonal improvisation in 92edo'' (2025) |
→Theory: 92bccc(d) is very close to 1/2-comma meantone |
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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 [[26edo]], and the 92bcccd val [[support]]s [[flattone]], and is only 0.102{{c}} sharp of [[1/2-comma meantone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179). | ||
=== Odd harmonics === | === Odd harmonics === | ||