252edt: Difference between revisions
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252edt is nearly identical to [[159edo]], but with the [[3/1|perfect twelfth]] instead of the [[2/1|octave]] tuned just. Like 159edo, 252edt is [[consistent]] to the [[integer limit|18-integer-limit]]. | == Theory == | ||
252edt is nearly identical to [[159edo]], but with the [[3/1|perfect twelfth]] instead of the [[2/1|octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.0430 cents. Like 159edo, 252edt is [[consistent]] to the [[integer limit|18-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 159edo remain flat. | |||
=== Harmonics === | === Harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 252 factors into primes as {{nowrap| 2<sup>2</sup> × 3<sup>2</sup> × 7 }}, 252edt has subset edts {{EDs|equave=t| 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126 }}. | Since 252 factors into primes as {{nowrap| 2<sup>2</sup> × 3<sup>2</sup> × 7 }}, 252edt has subset edts {{EDs|equave=t| 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, and 126 }}. | ||
== See also == | |||
* [[93edf]] – relative edf | |||
* [[159edo]] – relative edo | |||