133edo
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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
| ← 132edo | 133edo | 134edo → |
133edo is the equal division of the octave into 133 parts of 9.0226 cents each. It tempers out 393216/390625 (Würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.
Using the patent val, it supports superenneadecal, 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.
Using the 133d val, it supports enneadecal, it tempers 1728/1715, 4000/3969 and 4375/4374.
| 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 | +20 | +18 | -38 | -10 | -16 | +37 | +3 | +37 | -11 | +9 | |
| Steps (reduced) |
133 (0) |
211 (78) |
309 (43) |
373 (107) |
460 (61) |
492 (93) |
544 (12) |
565 (33) |
602 (70) |
646 (114) |
659 (127) | |