62edt: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[Edt|Division of the third harmonic]] into 62 equal parts''' (62EDT) is related to [[39edo|39 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.6090 cents compressed and the step size is about 30.6767 cents. It is consistent to the [[7-odd-limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the [[5-odd-limit|6-integer-limit]].
{{ED intro}}
 
== Theory ==
62edt is related to [[39edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.61 cents compressed and the step size is about 30.6767 cents. 62edt is [[consistent]] to the [[integer limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the 6-integer-limit.
 
=== Harmonics ===
{{Harmonics in equal|62|3|1|columns=11}}
{{Harmonics in equal|62|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 62edt (continued)}}
 
=== Subsets and supersets ===
Since 62 factors into primes as {{nowrap| 2 × 31 }}, 62edt contains [[2edt]] and [[31edt]] as subset edts.  


== Intervals ==
== Intervals ==
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| | [[3/2|just perfect fifth]] plus an octave
| | [[3/2|just perfect fifth]] plus an octave
|}
|}
== Harmonics ==
{{Harmonics in equal|62|3|1|columns=11}}
{{Harmonics in equal|62|3|1|columns=11|start=12|collapsed=1}}