2901533edo

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2901533edo

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Prime factorization	433 × 6701
Step size	0.000413574 ¢
Fifth	1697288\2901533 (701.955 ¢)
Semitones (A1:m2)	274884:218159 (113.7 ¢ : 90.22 ¢)
Consistency limit	131
Distinct consistency limit	131

Theory

Approximation of prime harmonics in 2901533edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000000	+0.000000	+0.000004	+0.000021	-0.000001	+0.000018	-0.000132	+0.000057	-0.000121	-0.000071	-0.000034
	Relative (%)	+0.0	+0.0	+0.9	+5.1	-0.3	+4.3	-32.0	+13.8	-29.3	-17.1	-8.3
Steps (reduced)		2901533 (0)	4598821 (1697288)	6737151 (934085)	8145633 (2342567)	10037655 (1333056)	10736948 (2032349)	11859908 (253776)	12325502 (719370)	13125264 (1519132)	14095592 (2489460)	14374764 (2768632)

Approximation of prime harmonics in 2901533edo (continued)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+0.000061	+0.000025	-0.000104	+0.000060	-0.000091	+0.000027	-0.000041	+0.000014	-0.000086	-0.000092	+0.000056
	Relative (%)	+14.8	+5.9	-25.3	+14.5	-22.0	+6.5	-9.9	+3.3	-20.9	-22.2	+13.4
Steps (reduced)		15115401 (607736)	15545114 (1037449)	15744486 (1236821)	16116823 (1609158)	16619750 (2112085)	17068683 (2561018)	17208230 (2700565)	17600958 (191760)	17843694 (434496)	17959980 (550782)	18290628 (881430)

Approximation of prime harmonics in 2901533edo (continued)

Harmonic		83	89	97	101	103	107	109	113	127	131	137
Error	Absolute (¢)	-0.000118	-0.000103	+0.000038	-0.000140	+0.000027	+0.000029	-0.000070	-0.000135	-0.000101	+0.000024	-0.000134
	Relative (%)	-28.6	-24.9	+9.1	-33.8	+6.6	+7.1	-16.8	-32.5	-24.5	+5.8	-32.4
Steps (reduced)		18497387 (1088189)	18789554 (1380356)	19149865 (1740667)	19319020 (1909822)	19401102 (1991904)	19560589 (2151391)	19638110 (2228912)	19788974 (2379776)	20277899 (2868701)	20407709 (96978)	20595174 (284443)