129edo

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← 128edo 129edo 130edo →
Prime factorization 3 × 43
Step size 9.30233 ¢ 
Fifth 75\129 (697.674 ¢) (→ 25\43)
Semitones (A1:m2) 9:12 (83.72 ¢ : 111.6 ¢)
Dual sharp fifth 76\129 (706.977 ¢)
Dual flat fifth 75\129 (697.674 ¢) (→ 25\43)
Dual major 2nd 22\129 (204.651 ¢)
Consistency limit 3
Distinct consistency limit 3

129edo is the equal division of the octave into 129 parts of 9.302 cents each. It provides the optimal patent val for the 11-limit rank three clio temperament. It tempers out 81/80 in the 5-limit; 1029/1024 and 1728/1715 in the 7-limit; 176/175 and 540/539 in the 11-limit; 507/500, 676/675 and 847/845 in the 13-limit; 221/220 in the 17-limit; 171/170 and 286/285 in the 19-limit.

The factorization of 129 is 3 and 43