190537edo: Difference between revisions

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190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].
190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].


== Theory ==
=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|190537|columns=12}}
{{Harmonics in equal|190537|columns=12}}
=== Supersets ===
* [[571611edo]] (3×)
* [[762148edo]] (4×)
* [[1714833edo]] (9×)
* [[1905370edo]] (10×)
* [[2667518edo]] (14×)
* [[4191814edo]] (22×)


[[Category:3-limit record edos|######]] <!-- 6-digit number -->
[[Category:3-limit record edos|######]] <!-- 6-digit number -->