4650edo

← 4649edo

4650edo

4651edo →

Prime factorization	2 × 3 × 52 × 31
Step size	0.258065 ¢
Fifth	2720\4650 (701.935 ¢) (→ 272\465)
Semitones (A1:m2)	440:350 (113.5 ¢ : 90.32 ¢)
Consistency limit	15
Distinct consistency limit	15

4650edo is consistent in the 15-odd-limit, with optional additions of 19 and 31. It provides the optimal patent val for the 30th-octave temperament zinc in the 7-limit and the 13-limit.

Prime harmonics

Approximation of prime harmonics in 4650edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.020	+0.009	-0.052	-0.092	-0.012	+0.077	+0.035	+0.113	+0.100	-0.003
	Relative (%)	+0.0	-7.6	+3.4	-20.0	-35.7	-4.5	+29.8	+13.7	+43.7	+38.8	-1.3
Steps (reduced)		4650 (0)	7370 (2720)	10797 (1497)	13054 (3754)	16086 (2136)	17207 (3257)	19007 (407)	19753 (1153)	21035 (2435)	22590 (3990)	23037 (4437)

Subsets and supersets

Since 4650 factors as 2 × 3 × 5² × 31, 4650edo has subset edos 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325.