56edt
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Prime factorization
23 × 7
Step size
33.9635¢
Octave
35\56edt (1188.72¢) (→5\8edt)
Fifth
21\56edt (713.233¢) (→3\8edt)
Semitones (A1:m2)
7:0 (237.7¢ : 0¢)
Consistency limit
2
Distinct consistency limit
2
| ← 55edt | 56edt | 57edt → |
The 56 equal division of 3, the tritave, divides it into 56 equal parts of 33.963 cents each, corresponding to 35.332 edo. It tempers out 245/243 in the 7-limit, 1331/1323 in the 11-limit and 275/273 in the 13-limit. It supports the 3.5.7.11.13 temperament with mapping [<1 5 0 1 10|, <0 -6 3 2 -13|]. 56edt is the twelfth no-twos zeta peak edt.