93edf: Difference between revisions

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{{ED intro}}
{{ED intro}}


93edf is closely related to [[159edo]], but with the [[3/2|perfect fifth]] instead of the [[2/1|octave]] tuned just. Like 159edo, 92edf is [[consistent]] to the [[integer limit|18-integer-limit]].  
== Theory ==
93edf is closely related to [[159edo]], but with the [[3/2|perfect fifth]] instead of the [[2/1|octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.117 cents. Like 159edo, 93edf is [[consistent]] to the [[integer limit|18-integer-limit]]. It has a virtually pure [[11/1|11]], and while the [[3-limit]] part is tuned sharp plus a sharper [[17/1|17]], the [[5/1|5]], [[7/1|7]], [[13/1|13]], [[19/1|19]] and [[23/1|23]] remain flat but significantly less so than in 159edo.  


=== Harmonics ===
=== Harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 93 factors into primes as {{nowrap| 3 × 31 }}, 93edf contains [[3edf]] and [[31edf]] as subset edfs.
Since 93 factors into primes as {{nowrap| 3 × 31 }}, 93edf contains [[3edf]] and [[31edf]] as subset edfs.
== See also ==
* [[159edo]] – relative edo
* [[252edt]] – relative edt