38edt: Difference between revisions

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 {{Infobox ET}}
-'''[[Edt|Division of the third harmonic]] into 38 equal parts''' (38EDT) is related to [[24edo|24 edo]] (quarter-tone tuning), but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 50.0514 cents. It is consistent to the [[5-odd-limit|6-integer-limit]].
+{{ED intro}}
-Lookalikes: [[24edo]], [[56ed5]], [[62ed6]], [[14edf]]
+== Theory ==
+edt is closely related to [[24edo]] (quarter-tone tuning), but with the perfect twelfth rather than the [[2/1|octave]] being just, which stretches the octave by about 1.23 cents. Like 24edo, 38edt is [[consistent]] to the [[integer limit|6-integer-limit]].
-== Harmonics ==
+=== Harmonics ===
-{{Harmonics in equal
+{{Harmonics in equal|38|3|1|intervals=integer|columns=11}}
-| steps = 38
+{{Harmonics in equal|38|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 38edt (continued)}}
-| num = 3
-| denom = 1
+=== Subsets and supersets ===
-}}
+Since 38 factors into primes as {{nowrap| 2 × 19 }}, 38edt contains subset edts [[2edt]] and [[19edt]].
-{{Harmonics in equal
-| steps = 38
-| num = 3
-| denom = 1
-| start = 12
-| collapsed = 1
-}}
 == Intervals ==
 {{Interval table}}
-[[Category:Edt]]
+== See also ==
-[[Category:Edonoi]]
+* [[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
+[[Category:24edo]]