189edo

← 188edo

189edo

190edo →

Prime factorization	33 × 7
Step size	6.34921 ¢
Fifth	111\189 (704.762 ¢) (→ 37\63)
Semitones (A1:m2)	21:12 (133.3 ¢ : 76.19 ¢)
Dual sharp fifth	111\189 (704.762 ¢) (→ 37\63)
Dual flat fifth	110\189 (698.413 ¢)
Dual major 2nd	32\189 (203.175 ¢)
Consistency limit	7
Distinct consistency limit	7

189edo is the equal division of the octave into 189 parts of 6.3492 cents each. It tempers out 15625/15552 (kleisma) and 9007199254740992/8578797170610375 in the 5-limit; 4000/3969, 6144/6125, and 537824/531441 in the 7-limit, supporting the hemikleismic temperament. Using the patent val, it tempers out 896/891, 1331/1323, 1375/1372, and 16896/16807 in the 11-limit; 169/168, 352/351, 364/363, and 1001/1000 in the 13-limit.