188edo

← 187edo

188edo

189edo →

Prime factorization	22 × 47
Step size	6.38298¢
Fifth	110\188 (702.128¢) (→55\94)
Semitones (A1:m2)	18:14 (114.9¢ : 89.36¢)
Consistency limit	9
Distinct consistency limit	9

188 equal divisions of the octave (abbreviated 188edo or 188ed2), also called 188-tone equal temperament (188tet) or 188 equal temperament (188et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 188 equal parts of about 6.383 ¢ each. Each step represents a frequency ratio of 2^1/188, or the 188th root of 2.

188edo is closely related to 94edo, but the patent vals differ on the mapping for 5. It tempers out 129140163/128000000 (graviton) and 268435456/263671875 (mabila comma) in the 5-limit; 2401/2400, 19683/19600, and 110592/109375 in the 7-limit. Using the patent val, it tempers out 176/175, 1331/1323, 3773/3750, and 16896/16807 in the 11-limit; 351/350, 352/351, 676/675, 1573/1568, and 16848/16807 in the 13-limit. It supports the 7-limit reenactment temperament, described as 188 & 360.

188cef val is a tuning for the hemigari temperament in the 11- and 13-limit.