User:Aura/1714833edo

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1714833edo

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Prime factorization	32 × 190537
Step size	0.000699777 ¢
Fifth	1003113\1714833 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2)	162459:128934 (113.7 ¢ : 90.22 ¢)
Consistency limit	11
Distinct consistency limit	11

Theory

This EDO seems to be at its best in the 2.3.5.7.13.17.29 subgroup.

Approximation of prime harmonics in 1714833edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000000	+0.000000	+0.000055	+0.000096	+0.000349	-0.000100	-0.000116	-0.000197	-0.000224	-0.000087	-0.000225
	Relative (%)	+0.0	+0.0	+7.9	+13.7	+49.9	-14.3	-16.6	-28.2	-32.0	-12.4	-32.2
Steps (reduced)		1714833 (0)	2717946 (1003113)	3981719 (552053)	4814145 (1384479)	5932348 (787849)	6345636 (1201137)	7009316 (149984)	7284486 (425154)	7757153 (897821)	8330626 (1471294)	8495619 (1636287)