418edo
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Prime factorization
2 × 11 × 19
Step size
2.87081¢
Fifth
245\418 (703.349¢)
Semitones (A1:m2)
43:29 (123.4¢ : 83.25¢)
Dual sharp fifth
245\418 (703.349¢)
Dual flat fifth
244\418 (700.478¢) (→122\209)
Dual major 2nd
71\418 (203.828¢)
Consistency limit
5
Distinct consistency limit
5
| ← 417edo | 418edo | 419edo → |
418 equal divisions of the octave (abbreviated 418edo or 418ed2), also called 418-tone equal temperament (418tet) or 418 equal temperament (418et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 418 equal parts of about 2.87 ¢ each. Each step represents a frequency ratio of 21/418, or the 418th root of 2.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.39 | +1.25 | -1.36 | -0.08 | -0.12 | +0.62 | -0.23 | +1.26 | +1.05 | +0.03 | +0.43 |
| Relative (%) | +48.6 | +43.4 | -47.4 | -2.9 | -4.2 | +21.6 | -8.0 | +44.1 | +36.6 | +1.1 | +15.1 | |
| Steps (reduced) |
663 (245) |
971 (135) |
1173 (337) |
1325 (71) |
1446 (192) |
1547 (293) |
1633 (379) |
1709 (37) |
1776 (104) |
1836 (164) |
1891 (219) | |
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