138edt: Difference between revisions

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== Theory ==
138edt is related to [[87edo]], but with the [[3/1|perfect twelfth]] instead of the [[octave]] tuned just. Like 87edo, it is [[consistent]] to the 16-integer-limit, but it has a flat tendency, with harmonics 1–16 all tuned flat except for multiples of 3. The higher harmonics [[17/1|17]], [[19/1|19]], and [[23/1|23]] do come closer to just, however.
=== Harmonics ===
{{Harmonics in equal|138|3|1}}
{{Harmonics in equal|138|3|1|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 138edt (continued)}}
=== Subsets and supersets ===
Since 138 factors into primes as {{nowrap| 2 × 3 × 23 }}, 138edt has subset edts {{EDTs| 2, 3, 6, 23, 46, and 69 }}.
== Intervals ==
{{Interval table}}