190537edo

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190537edo

190538edo →

Prime factorization	190537 (prime)
Step size	0.00629799 ¢
Fifth	111457\190537 (701.955 ¢) (convergent)
Semitones (A1:m2)	18051:14326 (113.7 ¢ : 90.22 ¢)
Consistency limit	11
Distinct consistency limit	11

The 190537edo divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log₂3 past 111202, before 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.

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.

Approximation of prime harmonics in 190537edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00000	+0.00000	-0.00134	+0.00010	+0.00175	+0.00200	+0.00058	-0.00230	+0.00048	-0.00079	+0.00187
	Relative (%)	+0.0	+0.0	-21.3	+1.5	+27.8	+31.7	+9.3	-36.5	+7.6	-12.5	+29.8
Steps (reduced)		190537 (0)	301994 (111457)	442413 (61339)	534905 (153831)	659150 (87539)	705071 (133460)	778813 (16665)	809387 (47239)	861906 (99758)	925625 (163477)	943958 (181810)