42edt
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Prime factorization
2 × 3 × 7
Step size
45.2846¢
Octave
26\42edt (1177.4¢) (→13\21edt)
Consistency limit
2
Distinct consistency limit
2
| ← 41edt | 42edt | 43edt → |
42EDT is the equal division of the third harmonic into 42 parts of 45.2846 cents each, corresponding to 26.4990 edo. It is contorted in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave.
Lookalikes: 53ED4