6650edo

← 6649edo

6650edo

6651edo →

Prime factorization	2 × 52 × 7 × 19
Step size	0.180451 ¢
Fifth	3890\6650 (701.955 ¢) (→ 389\665)
Semitones (A1:m2)	630:500 (113.7 ¢ : 90.23 ¢)
Consistency limit	15
Distinct consistency limit	15

This system is consistent up to the 15-odd-limit and shares the same super accurate fifth with 665edo. In the 11-limit, it tempers out 9801/9800, and in the 13-limit, 123201/123200.

Prime harmonics

Approximation of prime harmonics in 6650edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0001	+0.0322	+0.0162	-0.0397	+0.0137	+0.0671	+0.0509	+0.0565	+0.0769	-0.0732
	Relative (%)	+0.0	-0.1	+17.8	+9.0	-22.0	+7.6	+37.2	+28.2	+31.3	+42.6	-40.5
Steps (reduced)		6650 (0)	10540 (3890)	15441 (2141)	18669 (5369)	23005 (3055)	24608 (4658)	27182 (582)	28249 (1649)	30082 (3482)	32306 (5706)	32945 (6345)

Subsets and supersets

Since 6650 factors into 2 × 5² × 7 × 19, 6650edo has subset edos 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, and 3325.