571edo

571edo is the equal division of the octave into 571 parts of 2.101576 cents each. It tempers out the parakleisma, 1224440064/1220703125 and the counterschisma, |-69 45 -1> in the 5-limit, as well as the lafa comma, |77 -31 -12>; 2401/2400, 14348907/14336000, and 29360128/29296875 in the 7-limit; 3025/3024, 5632/5625, 41503/41472, and 17537553/17500000 in the 11-limit; 1001/1000, 1716/1715, 4096/4095, 17303/17280, and 107811/107653 in the 13-limit, supporting the 13-limit quasiorwell temperament; 1089/1088, 1701/1700, 2431/2430, 2601/2600, 5832/5831 and 7744/7735 in the 17-limit. The 7th harmonic is only 0.0007135 cents sharp in 571edo, as the denominator of a convergent to log₂7, after 109 and before 2393.

571edo is the 105th prime EDO.