618edo

← 617edo

618edo

619edo →

Prime factorization	2 × 3 × 103
Step size	1.94175 ¢
Fifth	362\618 (702.913 ¢) (→ 181\309)
Semitones (A1:m2)	62:44 (120.4 ¢ : 85.44 ¢)
Dual sharp fifth	362\618 (702.913 ¢) (→ 181\309)
Dual flat fifth	361\618 (700.971 ¢)
Dual major 2nd	105\618 (203.883 ¢) (→ 35\206)
Consistency limit	7
Distinct consistency limit	7

Theory

As every other step of 1236edo, 618edo is excellent in the 2.9.5.7.11.13.17 subgroup, where it notably tempers out 2601/2600, 4096/4095, 5832/5831, 6656/6655, 9801/9800, and 10648/10647. With a reasonable approximation of 19, it further tempers out 2926/2925, 5985/5984, and 6175/6174.

Odd harmonics

Approximation of odd harmonics in 618edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.958	+0.094	+0.106	-0.027	+0.138	+0.249	-0.890	-0.101	-0.426	-0.878	+0.852
	Relative (%)	+49.3	+4.8	+5.5	-1.4	+7.1	+12.8	-45.8	-5.2	-21.9	-45.2	+43.9
Steps (reduced)		980 (362)	1435 (199)	1735 (499)	1959 (105)	2138 (284)	2287 (433)	2414 (560)	2526 (54)	2625 (153)	2714 (242)	2796 (324)