336edt: Difference between revisions

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== Theory ==

336edt is nearly identical to [[212edo]], 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 212edo, 336edt is [[consistent]] to the [[integer limit|16-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 212edo remain flat.

336edt is nearly identical to [[212edo]], but with the [[3/1|perfect twelfth]] instead of the [[octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.0430 cents. Like 212edo, 336edt is [[consistent]] to the [[integer limit|16-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 212edo remain flat.

=== Harmonics ===

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=== Subsets and supersets ===

Since 336 factors into primes as {{nowrap| 2<sup>4</sup> × 7 × 7 }}, 336edt contains subset edts {{EDs|equave=f| 2, 4, 6, 7, 8, 14, 16, 21, 28, 42, 56, 84, 112, and 168 }}.

Since 336 factors into primes as {{nowrap| 2<sup>4</sup> × 3 × 7 }}, 336edt contains subset edts {{EDs|equave=t| 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, and 168 }}.

== See also ==

* [[124edf]] – relative edf

* [[212edo]] – relative edo

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 == Theory ==
-edt is nearly identical to [[212edo]], 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 212edo, 336edt is [[consistent]] to the [[integer limit|16-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 212edo remain flat.
+edt is nearly identical to [[212edo]], but with the [[3/1|perfect twelfth]] instead of the [[octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.0430 cents. Like 212edo, 336edt is [[consistent]] to the [[integer limit|16-integer-limit]]. The stretch is so subtle that most of the [[prime harmonic]]s tuned flat in 212edo remain flat.
 === Harmonics ===
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 === Subsets and supersets ===
-Since 336 factors into primes as {{nowrap| 2<sup>4</sup> × 7 × 7 }}, 336edt contains subset edts {{EDs|equave=f| 2, 4, 6, 7, 8, 14, 16, 21, 28, 42, 56, 84, 112, and 168 }}.
+Since 336 factors into primes as {{nowrap| 2<sup>4</sup> × 3 × 7 }}, 336edt contains subset edts {{EDs|equave=t| 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, and 168 }}.
 == See also ==
 * [[124edf]] – relative edf
 * [[212edo]] – relative edo