89edf is the equal division of the just perfect fifth into eighty nine parts of 7.887 cents each, corresponding to 152.1465 edo.

← 88edf 89edf 90edf →
Prime factorization 89 (prime)
Step size 7.88713 ¢ 
Octave 152\89edf (1198.84 ¢)
Twelfth 241\89edf (1900.8 ¢)
Consistency limit 15
Distinct consistency limit 15

Theory

89edf is similar to Carlos Gamma in that it includes a just perfect fifth and an incredibly precise approximation of the major and minor thirds, and is next in line in the sequence {1, 2, 5, 7, 9, 11, 20, 89, 109, 129, 149} of divisions of the perfect fifth to approximate 5/4 with increasing accuracy.