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 2^1/134, 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.