616edo

← 615edo

616edo

617edo →

Prime factorization	23 × 7 × 11
Step size	1.94805 ¢
Fifth	360\616 (701.299 ¢) (→ 45\77)
Semitones (A1:m2)	56:48 (109.1 ¢ : 93.51 ¢)
Dual sharp fifth	361\616 (703.247 ¢)
Dual flat fifth	360\616 (701.299 ¢) (→ 45\77)
Dual major 2nd	105\616 (204.545 ¢) (→ 15\88)
Consistency limit	7
Distinct consistency limit	7

616edo is the equal division of the octave into 616 parts of 1.948052 cents each. It tempers out 2401/2400, 48828125/48771072, and 129140163/128450560 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 1265625/1261568 in the 11-limit. As every third step of 1848edo, it provides an excellent tuning for the 3*616 2.5/3.7/3.11 subgroup, approximating 6/5, 7/6, 7/5, and 11/8 within 0.057 cents.