34edt
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Prime factorization
2 × 17
Step size
55.9399¢
Octave
21\34edt (1174.74¢)
Fifth
13\34edt (727.218¢)
Semitones (A1:m2)
7:-2 (391.6¢ : -111.9¢)
Dual sharp fifth
13\34edt (727.218¢)
Dual flat fifth
12\34edt (671.278¢) (→6\17edt)
Dual major 2nd
4\34edt (223.759¢) (→2\17edt)
Consistency limit
2
Distinct consistency limit
2
| ← 33edt | 34edt | 35edt → |
34EDT is the equal division of the third harmonic into 34 parts of 55.9399 cents each, corresponding to 21.4516 edo. It is contorted in the no-twos 11-limit, tempering out 77/75, 245/243, and 1331/1323. Using the patent val, it tempers out 169/165 and 847/845 in the 13-limit (no-twos subgroup). With the patent 4, it tempers out 49/48, 81/80, and 16128/15625 in the 3.4.5.7 subgroup; 77/75, 176/175, 891/875, and 1331/1280 in the 3.4.5.7.11 subgroup; 65/64, 143/140, 169/165, 196/195, and 325/324 in the 3.4.5.7.11.13 subgroup.
Lookalikes: 43ED4