2513edo

← 2512edo

2513edo

2514edo →

Prime factorization	7 × 359
Step size	0.477517 ¢
Fifth	1470\2513 (701.95 ¢) (→ 210\359)
Semitones (A1:m2)	238:189 (113.6 ¢ : 90.25 ¢)
Consistency limit	11
Distinct consistency limit	11

The 2513 division divides the octave into 2513 equal parts of 0.4775 cents each. It is a very strong 5-limit system, with a lower 5-limit relative error than any edo until we reach the cosmically excellent 4296edo. A basis for its 5-limit commas is senior, |-17 62 -35> and fortune, |-107 47 14>; it also tempers out pirate, |-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.