38edt: Difference between revisions

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{{ED intro}}
{{ED intro}}


38EDT is related to [[24edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just, which stretches the octave by about 1.2347 cents. It is consistent to the 6-[[integer-limit]].
== Theory ==
38edt is closely related to [[24edo]] (quarter-tone tuning), but with the perfect twelfth rather than the [[octave]] being just, which stretches the octave by about 1.23 cents. Like 24edo, 38edt is [[consistent]] to the [[integer limit|6-integer-limit]].


Lookalikes: [[14edf]], [[24edo]], [[56ed5]], [[62ed6]]
=== Harmonics ===
{{Harmonics in equal|38|3|1|intervals=integer|columns=11}}
{{Harmonics in equal|38|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 38edt (continued)}}


== Harmonics ==
=== Subsets and supersets ===
{{Harmonics in equal
Since 38 factors into primes as {{nowrap| 2 × 19 }}, 38edt contains subset edts [[2edt]] and [[19edt]].
| steps = 38
| num = 3
| denom = 1
}}
{{Harmonics in equal
| steps = 38
| num = 3
| denom = 1
| start = 12
| collapsed = 1
}}


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


== See also ==
* [[14edf]] – relative edf
* [[24edo]] – relative edo
* [[56ed5]] – relative ed5
* [[62ed6]] – relative ed6
* [[83ed11]] – relative ed11
* [[86ed12]] – relative ed12
* [[198ed304]] – close to the zeta-optimized tuning for 24edo


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