114edt: Difference between revisions
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{{ED intro}} | |||
== Theory == | |||
114edt is related to [[72edo]], but with the [[3/1|perfect twelfth]] rather than the [[2/1|octave]] being just. The octave is stretched by about 1.23 cents. Like 72edo, 114edt is [[consistent]] to the [[integer limit|18-integer-limit]]. While its approximations to 2, [[7/1|7]] and [[11/1|11]] are sharp, the [[5/1|5]] and [[17/1|17]] are nearly pure, and the [[13/1|13]] is significantly improved compared to 72edo, although the [[19/1|19]] becomes much worse. | |||
=== Harmonics === | |||
{{Harmonics in equal|114|3|1|intervals=integer|columns=11}} | |||
{{Harmonics in equal|114|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 114edt (continued)}} | |||
=== Subsets and supersets === | |||
Since 114 factors into primes as {{nowrap| 2 × 3 × 19 }}, 114edt contains subset edts {{EDs|equave=t| 2, 3, 6, 19, 38, and 57 }}. | |||
== Intervals == | |||
{{Interval table}} | |||
== See also == | |||
* [[72edo]] – relative edo | |||
* [[186ed6]] – relative ed6 | |||
* [[258ed12]] – relative ed12 | |||