92edt: Difference between revisions

Theory: +subsets and supersets
Theory: address the tuning profile
 
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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 0.9414 cents compressed. Like 58edo, 92edt is consistent to the [[17-odd-limit|18-integer-limit]].
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 ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 92 factors into primes as 2<sup>2</sup> × 23, 92edt contains subset edts {{EDs|equave=t| 2, 4, 23, and 46 }}.
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 ==