134edo
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Prime factorization
2 × 67
Step size
8.95522¢
Fifth
78\134 (698.507¢) (→39\67)
Semitones (A1:m2)
10:12 (89.55¢ : 107.5¢)
Dual sharp fifth
79\134 (707.463¢)
Dual flat fifth
78\134 (698.507¢) (→39\67)
Dual major 2nd
23\134 (205.97¢)
Consistency limit
7
Distinct consistency limit
7
| ← 133edo | 134edo | 135edo → |
134edo is the equal division of the octave into 134 parts of 8.9552 cents each. It tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (Ampersand's comma) in the 5-limit; 225/224, 1029/1024, and 9920232/9765625 in the 7-limit. Using the patent val, it tempers out 1344/1331, 1350/1331, 1944/1925, and 21609/21296 in the 11-limit; 144/143, 351/350, 364/363, and 625/624 in the 13-limit. Using the 134e val, it tempers out 243/242, 385/384, 441/440, and 395307/390625 in the 11-limit; 351/350, 625/624, 1001/1000, 1573/1568, and 4455/4394 in the 13-limit. Using the 134ef val, it tempers out 169/168, 676/675, 2704/2695, 3042/3025, and 3146/3125 in the 13-limit.
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -3.45 | -1.24 | -1.66 | +2.06 | +3.91 | +1.26 | +4.27 | +2.51 | -1.99 | +3.85 | -1.41 |
| relative (%) | -38 | -14 | -19 | +23 | +44 | +14 | +48 | +28 | -22 | +43 | -16 | |
| Steps (reduced) |
212 (78) |
311 (43) |
376 (108) |
425 (23) |
464 (62) |
496 (94) |
524 (122) |
548 (12) |
569 (33) |
589 (53) |
606 (70) | |
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