92edt: Difference between revisions
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== Theory == | == Theory == | ||
92edt is related to [[58edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0. | 92edt is related to [[58edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.941 cents compressed. Like 58edo, 92edt is consistent to the [[integer limit|18-integer-limit]]. The [[prime harmonic]]s [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]], which are tuned sharp in 58edo, remain sharp here, but significantly less so. The [[17/1|17]], which is flat to begin with, becomes worse. | ||
=== Harmonics === | === Harmonics === | ||
{{Harmonics in equal|92|3|1|intervals=integer}} | {{Harmonics in equal|92|3|1|intervals=integer}} | ||
{{Harmonics in equal|92|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 92edt (continued)}} | {{Harmonics in equal|92|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 92edt (continued)}} | ||
=== Subsets and supersets === | |||
Since 92 factors into primes as {{nowrap| 2<sup>2</sup> × 23 }}, 92edt contains subset edts {{EDs|equave=t| 2, 4, 23, and 46 }}. | |||
== Intervals == | == Intervals == | ||