815edo
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Prime factorization
5 × 163
Step size
1.47239¢
Fifth
477\815 (702.331¢)
Semitones (A1:m2)
79:60 (116.3¢ : 88.34¢)
Consistency limit
3
Distinct consistency limit
3
| ← 814edo | 815edo | 816edo → |
815 equal divisions of the octave (abbreviated 815edo or 815ed2), also called 815-tone equal temperament (815tet) or 815 equal temperament (815et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 815 equal parts of about 1.47 ¢ each. Each step represents a frequency ratio of 21/815, or the 815th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.376 | -0.547 | +0.008 | -0.720 | -0.643 | +0.209 | -0.171 | -0.416 | -0.090 | +0.385 | +0.437 |
| Relative (%) | +25.6 | -37.1 | +0.6 | -48.9 | -43.7 | +14.2 | -11.6 | -28.2 | -6.1 | +26.1 | +29.7 | |
| Steps (reduced) |
1292 (477) |
1892 (262) |
2288 (658) |
2583 (138) |
2819 (374) |
3016 (571) |
3184 (739) |
3331 (71) |
3462 (202) |
3580 (320) |
3687 (427) | |
 |
Todo: explain its xenharmonic value |