2684edo

← 2683edo

2684edo

2685edo →

Prime factorization	22 × 11 × 61
Step size	0.447094 ¢
Fifth	1570\2684 (701.937 ¢) (→ 785\1342)
Semitones (A1:m2)	254:202 (113.6 ¢ : 90.31 ¢)
Consistency limit	17
Distinct consistency limit	17

The 2684 equal divisions of the octave divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit relative error than any division until we reach 5585edo. It is distinctly consistent through the 17-odd-limit, and is both a zeta peak and zeta integral edo. It is enfactored in the 5-limit, with the same tuning as 1342edo, tempering out kwazy, [-53 10 16⟩, senior, [-17 62 -35⟩ and egads, [-36 52 51⟩. A basis for its 13-limit commas is {9801/9800, 10648/10647, 140625/140608, 196625/196608, 823680/823543}; it also tempers out 123201/123200. It factors as 2² × 11 × 61, with divisors 2, 4, 11, 22, 44, 61, 122, 244, 671, and 1342.