# 134edo

 ← 133edo 134edo 135edo →
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

134 equal divisions of the octave (abbreviated 134edo or 134ed2), also called 134-tone equal temperament (134tet) or 134 equal temperament (134et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 134 equal parts of about 8.96 ¢ each. Each step represents a frequency ratio of 21/134, or the 134th root of 2.

The equal temperament tempers out 1594323/1562500 (unicorn comma) and 34171875/33554432 (ampersand) 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.

### Odd harmonics

Approximation of odd harmonics in 134edo
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 (%) -38.5 -13.8 -18.6 +23.0 +43.6 +14.1 +47.7 +28.0 -22.2 +42.9 -15.7
Steps
(reduced)
212
(78)
311
(43)
376
(108)
425
(23)
464
(62)
496
(94)
524
(122)
548
(12)
569
(33)
589
(53)
606
(70)

### Subsets and supersets

Since 134 factors into 2 × 67, 134edo contains 2edo and 67edo as its subsets.