146edo
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Prime factorization
2 × 73
Step size
8.21918¢
Fifth
85\146 (698.63¢)
Semitones (A1:m2)
11:13 (90.41¢ : 106.8¢)
Dual sharp fifth
86\146 (706.849¢) (→43\73)
Dual flat fifth
85\146 (698.63¢)
Dual major 2nd
25\146 (205.479¢)
Consistency limit
5
Distinct consistency limit
5
| ← 145edo | 146edo | 147edo → |
The 146edo divides the octave into 146 equal parts of 8.219178 cents each. It has an accurate major third, only 0.012344 cents compressed from just 5/4 interval. 146edo is the denominator of a convergent to log25, after 3, 28 and 59, and before 643. However, it also provides the optimal patent val for the 11-limit newspeak temperament. It tempers out the semicomma, 2109375/2097152 and 129140163/125000000 in the 5-limit; 225/224, 1728/1715, and 100442349/97656250 in the 7-limit; 441/440, 1375/1372, 1944/1925, and 43923/43750 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 1573/1568 in the 13-limit.