92edt: Difference between revisions

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'''[[Edt|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit|18-integer-limit]].

[[~~Category:Edt~~]]

== Theory ==

[[~~Category:Edonoi~~]]

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 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 ==

== See also ==

* [[34edf]] – relative edf

* [[58edo]] – relative edo

* [[150ed6]] – relative ed6

* [[163ed7]] – relative ed7

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-'''[[Edt|Division of the third harmonic]] into 92 equal parts''' (92EDT) is related to [[58edo|58 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the [[17-odd-limit|18-integer-limit]].
+{{Infobox ET}}
+{{ED intro}}
-[[Category:Edt]]
+== Theory ==
-[[Category:Edonoi]]
+edt 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 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)}}
+=== 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 ==
+{{Interval table}}
+== See also ==
+* [[34edf]] – relative edf
+* [[58edo]] – relative edo
+* [[150ed6]] – relative ed6
+* [[163ed7]] – relative ed7