2520edo

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2520edo

2521edo →

Prime factorization	23 × 32 × 5 × 7
Step size	0.47619 ¢
Fifth	1474\2520 (701.905 ¢) (→ 737\1260)
Semitones (A1:m2)	238:190 (113.3 ¢ : 90.48 ¢)
Consistency limit	5
Distinct consistency limit	5
Special properties	Highly composite

2520edo is the 18th highly composite edo and the least common multiple of numbers of 1 through 10 inclusive.

It is a good 2.3.5.11.13 subgroup tuning where it tempers out 6656/6655. The 2520d val tempers out 2401/2400 and 4375/4374 and provides a tuning for the ennealimmal temperament and the rank-3 ennealimmic temperament. The 2520de val is a tuning for the hemiennealimmal temperament in the 11-limit. The 2520e val is a member of the optimal GPV sequence for the tribilo temperament, the 2.3.11 rank-2 temperament tempering out 1771561/1769472.

Prime harmonics

Approximation of prime harmonics in 2520edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.050	-0.123	+0.222	+0.111	-0.051	-0.194	+0.106	-0.179	-0.053	+0.203
	Relative (%)	+0.0	-10.6	-25.9	+46.6	+23.2	-10.8	-40.6	+22.3	-37.6	-11.2	+42.5
Steps (reduced)		2520 (0)	3994 (1474)	5851 (811)	7075 (2035)	8718 (1158)	9325 (1765)	10300 (220)	10705 (625)	11399 (1319)	12242 (2162)	12485 (2405)