333edo

← 332edo

333edo

334edo →

Prime factorization	32 × 37
Step size	3.6036 ¢
Fifth	195\333 (702.703 ¢) (→ 65\111)
Semitones (A1:m2)	33:24 (118.9 ¢ : 86.49 ¢)
Consistency limit	7
Distinct consistency limit	7

The equal temperament tempers out 15625/15552 in the 5-limit and 5120/5103 in the 7-limit, so it supports countercata. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the optimal patent val for the rank-2 temperament novemkleismic, for the rank-3 temperament tempering out 325/324, 625/624 and 676/675, the rank-4 temperament tempering out 325/324 and 1375/1372, and the rank-5 temperament tempering out 325/324.

Prime harmonics

Approximation of prime harmonics in 333edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	+0.75	-0.73	+0.54	+0.03	-0.89	-0.45	+1.59	-1.25	+1.05	+0.91
	Relative (%)	+0.0	+20.7	-20.2	+15.1	+0.9	-24.6	-12.5	+44.0	-34.6	+29.2	+25.3
Steps (reduced)		333 (0)	528 (195)	773 (107)	935 (269)	1152 (153)	1232 (233)	1361 (29)	1415 (83)	1506 (174)	1618 (286)	1650 (318)

Subsets and supersets

Since 333 factors into 3² × 37, 333edo has subset edos 3, 9, 37, and 111.