58edf: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[EDF|Division of the just perfect fifth]] into 58 equal parts''' (58EDF) is related to [[99edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 1.8354 cents compressed and the step size is about 12.1027 cents (corresponding to 99.1517 edo). It is consistent to the 12-[[integer-limit]]. In comparison, 99edo is only consistent up to the 10-integer-limit.
{{ED intro}}


== Harmonics ==
== Theory ==
{{Harmonics in equal|58|3|2|intervals=prime}}
58edf corresponds to 99.1517…edo. It is related to [[99edo]], but with the 3/2 rather than the [[2/1]] being just. The octave is about 1.8354 cents compressed. 58edf is [[consistent]] to the [[integer limit|12-integer-limit]]. In comparison, 99edo is only consistent up to the 10-integer-limit.
 
=== Harmonics ===
{{Harmonics in equal|58|3|2}}
{{Harmonics in equal|58|3|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58edf (continued)}}


== Intervals ==
== Intervals ==
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== See also ==
== See also ==
* [[99edo]]
* [[99edo]] – relative edo
* [[157edt]]
* [[157edt]] – relative edt
 
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:99edo]]