133edo

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← 132edo 133edo 134edo →
Prime factorization 7 × 19
Step size 9.02256 ¢ 
Fifth 78\133 (703.759 ¢)
Semitones (A1:m2) 14:9 (126.3 ¢ : 81.2 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

133edo is only consistent to the 5-odd-limit. The equal temperament tempers out 393216/390625 (würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.

Using the patent val, it tempers out 245/243, 1029/1024 and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891 and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363 and 3146/3125 in the 13-limit. It supports rodan and superenneadecal.

Using the 133d val, it tempers out 1728/1715, 4000/3969 and 4375/4374. It supports enneadecal.

Prime harmonics

Approximation of prime harmonics in 133edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +1.80 +1.66 -3.41 -0.94 -1.43 +3.32 +0.23 +3.30 -1.01 +0.83
Relative (%) +0.0 +20.0 +18.4 -37.8 -10.4 -15.8 +36.7 +2.6 +36.6 -11.1 +9.2
Steps
(reduced)
133
(0)
211
(78)
309
(43)
373
(107)
460
(61)
492
(93)
544
(12)
565
(33)
602
(70)
646
(114)
659
(127)

Subsets and supersets

Since 133 factors into 7 × 19, 133edo contains 7edo and 19edo as its subsets.