448edo
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Prime factorization
26 × 7
Step size
2.67857¢
Fifth
262\448 (701.786¢) (→131\224)
Semitones (A1:m2)
42:34 (112.5¢ : 91.07¢)
Consistency limit
5
Distinct consistency limit
5
| ← 447edo | 448edo | 449edo → |
448 equal divisions of the octave (abbreviated 448edo or 448ed2), also called 448-tone equal temperament (448tet) or 448 equal temperament (448et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 448 equal parts of about 2.68 ¢ each. Each step represents a frequency ratio of 21/448, or the 448th root of 2.
Odd harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | -0.17 | -0.60 | +0.82 | +0.47 | +0.54 | -0.49 | -0.19 | +1.19 | -1.01 | -1.29 |
| Relative (%) | +0.0 | -6.3 | -22.4 | +30.5 | +17.5 | +20.3 | -18.3 | -7.2 | +44.4 | -37.5 | -48.0 | |
| Steps (reduced) |
448 (0) |
710 (262) |
1040 (144) |
1258 (362) |
1550 (206) |
1658 (314) |
1831 (39) |
1903 (111) |
2027 (235) |
2176 (384) |
2219 (427) | |
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