62ed6: Difference between revisions

BudjarnLambeth (talk | contribs)
m Fix misleading link, mark stub
ArrowHead294 (talk | contribs)
 
(7 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{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 6-[[integer-limit]].
{{ED intro}}


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


== Intervals ==
== Intervals ==
{{Interval table}}
{{Interval table}}


== Harmonics ==
== See also ==
{{Harmonics in equal
* [[14edf]] – relative edf
| steps = 62
* [[24edo]] – relative edo
| num = 6
* [[38edt]] – relative edt
| denom = 1
* [[56ed5]] – relative ed5
}}
* [[83ed11]] – relative ed11
{{Harmonics in equal
* [[86ed12]] – relative ed12
| steps = 62
* [[198ed304]] – close to the zeta-optimized tuning for 24edo
| num = 6
| denom = 1
| start = 12
| collapsed = 1
}}
 
[[Category:Edonoi]]
 


{{stub}}
[[Category:24edo]]