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)