14124edo
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Prime factorization
22 × 3 × 11 × 107
Step size
0.0849618¢
Fifth
8262\14124 (701.954¢) (→1377\2354)
Semitones (A1:m2)
1338:1062 (113.7¢ : 90.23¢)
Consistency limit
17
Distinct consistency limit
17
Special properties
| ← 14123edo | 14124edo | 14125edo → |
14124 equal divisions of the octave (abbreviated 14124edo or 14124ed2), also called 14124-tone equal temperament (14124tet) or 14124 equal temperament (14124et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 14124 equal parts of about 0.085 ¢ each. Each step represents a frequency ratio of 21/14124, or the 14124th root of 2.
14124edo is consistent in the 17-odd-limit and tempers out Kirnberger's atom. It is a zeta peak integer edo.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00000 | -0.00088 | +0.00744 | -0.00688 | -0.00103 | -0.00090 | -0.02763 | +0.02309 | +0.01792 | -0.01050 | -0.00584 |
| Relative (%) | +0.0 | -1.0 | +8.8 | -8.1 | -1.2 | -1.1 | -32.5 | +27.2 | +21.1 | -12.4 | -6.9 | |
| Steps (reduced) |
14124 (0) |
22386 (8262) |
32795 (4547) |
39651 (11403) |
48861 (6489) |
52265 (9893) |
57731 (1235) |
59998 (3502) |
63891 (7395) |
68614 (12118) |
69973 (13477) | |
Divisors
Since 14124 factors into 22 × 3 × 11 × 107, it has subset edos 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428, 642, 1177, 1284, 2354, 3531, 4708, and 7062.