190537edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}


The '''190537edo''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo|111202]], before [[10590737edo|10590737]].  Notably, it's the first EDO with a 3-2 [[telicity]] k-strength greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength.
The '''190537edo''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo|111202]], before [[10590737edo|10590737]].


== Theory ==
== Theory ==
190537edo has a consistency limit of 11, which is rather impressive for a convergent.  However, it's strongest in the 2.3.7.17.23 subgroup.
190537edo has a consistency limit of 11, which is rather impressive for a convergent.  However, it's strongest in the 2.3.7.17.23 subgroup.  Notably, it's the first EDO with a 3-2 [[telicity]] k-strength greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength.


{{Harmonics in equal|190537}}
{{Harmonics in equal|190537}}


[[Category:Equal divisions of the octave|#####]] <!-- 6-digit number -->
[[Category:Equal divisions of the octave|#####]] <!-- 6-digit number -->