62ed6: Difference between revisions

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'''[[Ed6|Division of the sixth harmonic]] into 62 equal parts''' (62ED6) is related to [[24edo|24 edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.76 cents stretched and the step size is about 50.03 cents. It is consistent to the [[5-odd-limit|6-integer-limit]].

~~Lookalikes:~~ [[24edo]], [[~~56ed5~~]], [[~~62ed6~~]], [[~~14edf~~]]

== Theory ==

62ed6 is nearly identical to [[24edo]] (quarter-tone tuning), but with the 6th harmonic rather than the [[2/1|octave]] being just, which stretches the octave by about 0.757 cents. Like 24edo, 62ed6 is [[consistent]] to the [[integer limit|6-integer-limit]].

==Harmonics==

=== Harmonics ===

{{Harmonics in equal|62|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 62ed6 (continued)}}

[[Category:~~Edonoi~~]]

=== Subsets and supersets ===

Since 62 factors into primes as {{nowrap| 2 × 31 }}, 62ed6 contains subset ed6's [[2ed6]] and [[31ed6]].

== Intervals ==

== See also ==

* [[14edf]] – relative edf

* [[24edo]] – relative edo

* [[38edt]] – relative edt

* [[56ed5]] – relative ed5

* [[83ed11]] – relative ed11

* [[86ed12]] – relative ed12

* [[198ed304]] – close to the zeta-optimized tuning for 24edo

[[Category:24edo]]

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 {{Infobox ET}}
-'''[[Ed6|Division of the sixth harmonic]] into 62 equal parts''' (62ED6) is related to [[24edo|24 edo]] (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.76 cents stretched and the step size is about 50.03 cents. It is consistent to the [[5-odd-limit|6-integer-limit]].
+{{ED intro}}
-Lookalikes: [[24edo]], [[56ed5]], [[62ed6]], [[14edf]]
+== Theory ==
+ed6 is nearly identical to [[24edo]] (quarter-tone tuning), but with the 6th harmonic rather than the [[2/1|octave]] being just, which stretches the octave by about 0.757 cents. Like 24edo, 62ed6 is [[consistent]] to the [[integer limit|6-integer-limit]].
-==Harmonics==
+=== Harmonics ===
-{{Harmonics in equal|62|6|1|prec=2}}
+{{Harmonics in equal|62|6|1|intervals=integer|columns=11}}
+{{Harmonics in equal|62|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 62ed6 (continued)}}
-[[Category:Edonoi]]
+=== Subsets and supersets ===
+Since 62 factors into primes as {{nowrap| 2 × 31 }}, 62ed6 contains subset ed6's [[2ed6]] and [[31ed6]].
+== Intervals ==
+{{Interval table}}
+== See also ==
+* [[14edf]] – relative edf
+* [[24edo]] – relative edo
+* [[38edt]] – relative edt
+* [[56ed5]] – relative ed5
+* [[83ed11]] – relative ed11
+* [[86ed12]] – relative ed12
+* [[198ed304]] – close to the zeta-optimized tuning for 24edo
+[[Category:24edo]]