513edo

← 512edo

513edo

514edo →

Prime factorization	33 × 19
Step size	2.33918 ¢
Fifth	300\513 (701.754 ¢) (→ 100\171)
Semitones (A1:m2)	48:39 (112.3 ¢ : 91.23 ¢)
Consistency limit	11
Distinct consistency limit	11

513edo divides the steps of 171edo into three. It is consistent to the 11-odd-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.

Prime harmonics

Approximation of prime harmonics in 513edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	-0.20	-0.35	-0.40	+0.73	-0.76	+0.31	-0.44	+0.97	-0.34	+1.16
	Relative (%)	+0.0	-8.6	-14.9	-17.3	+31.2	-32.6	+13.2	-18.7	+41.3	-14.4	+49.7
Steps (reduced)		513 (0)	813 (300)	1191 (165)	1440 (414)	1775 (236)	1898 (359)	2097 (45)	2179 (127)	2321 (269)	2492 (440)	2542 (490)

Subsets and supersets

Since 513 factors into 3³ × 19, 513edo has subset edos 3, 9, 19, 27, 57, and 171.