1889edo

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1889edo

1890edo →

Prime factorization	1889 (prime)
Step size	0.635257 ¢
Fifth	1105\1889 (701.959 ¢)
Semitones (A1:m2)	179:142 (113.7 ¢ : 90.21 ¢)
Consistency limit	27
Distinct consistency limit	27

1889edo is strong in the 23-limit, though 1578, which among other things has a lower 23-limit relative error, rather puts it in the shade. It is distinctly consistent through the 27-odd-limit, but not, unlike 1578, to the 29-odd-limit. Even so, it should be noted that it supplies the optimal patent val for the 7-limit monzismic temperament.

Prime harmonics

Approximation of prime harmonics in 1889edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.004	-0.078	-0.059	+0.085	-0.083	-0.138	-0.213	-0.005	+0.174	-0.303
	Relative (%)	+0.0	+0.6	-12.2	-9.3	+13.4	-13.1	-21.7	-33.5	-0.9	+27.4	-47.7
Steps (reduced)		1889 (0)	2994 (1105)	4386 (608)	5303 (1525)	6535 (868)	6990 (1323)	7721 (165)	8024 (468)	8545 (989)	9177 (1621)	9358 (1802)

Subsets and supersets

1889edo is the 290th prime edo.