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

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.

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)

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