2190edo

← 2189edo

2190edo

2191edo →

Prime factorization	2 × 3 × 5 × 73
Step size	0.547945 ¢
Fifth	1281\2190 (701.918 ¢) (→ 427\730)
Semitones (A1:m2)	207:165 (113.4 ¢ : 90.41 ¢)
Consistency limit	15
Distinct consistency limit	15

The 2190 equal division divides the octave into 2190 equal parts of 0.5479 cents each. It is is a very strong 13-limit system; no smaller division has a smaller 13-limit relative error, and nothing beats it until 2684. A basis for the 13-limit commas is {9801/9800, 10648/10647, 105644/105625, 140625/140608, 196625/196608}; also tempered out are 123201/123200 and 151263/151250.

2190 factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, 730.