447edo
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Prime factorization
3 × 149
Step size
2.68456¢
Fifth
261\447 (700.671¢) (→87\149)
Semitones (A1:m2)
39:36 (104.7¢ : 96.64¢)
Dual sharp fifth
262\447 (703.356¢)
Dual flat fifth
261\447 (700.671¢) (→87\149)
Dual major 2nd
76\447 (204.027¢)
Consistency limit
3
Distinct consistency limit
3
| ← 446edo | 447edo | 448edo → |
447 equal divisions of the octave (abbreviated 447edo or 447ed2), also called 447-tone equal temperament (447tet) or 447 equal temperament (447et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 447 equal parts of about 2.68 ¢ each. Each step represents a frequency ratio of 21/447, or the 447th root of 2.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.28 | +0.26 | +0.30 | +0.12 | -0.98 | -0.26 | -1.02 | -0.26 | +0.47 | -0.98 | -0.09 |
| Relative (%) | -47.8 | +9.8 | +11.2 | +4.4 | -36.6 | -9.7 | -38.0 | -9.6 | +17.6 | -36.6 | -3.2 | |
| Steps (reduced) |
708 (261) |
1038 (144) |
1255 (361) |
1417 (76) |
1546 (205) |
1654 (313) |
1746 (405) |
1827 (39) |
1899 (111) |
1963 (175) |
2022 (234) | |
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