1802edo
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Prime factorization
2 × 17 × 53
Step size
0.665927¢
Fifth
1054\1802 (701.887¢) (→31\53)
Semitones (A1:m2)
170:136 (113.2¢ : 90.57¢)
Consistency limit
15
Distinct consistency limit
15
| ← 1801edo | 1802edo | 1803edo → |
1802 equal divisions of the octave (abbreviated 1802edo or 1802ed2), also called 1802-tone equal temperament (1802tet) or 1802 equal temperament (1802et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1802 equal parts of about 0.666 ¢ each. Each step represents a frequency ratio of 21/1802, or the 1802nd root of 2.
1802edo is consistent in the 15-odd-limit. In the 2.3.5.11.13 subgroup, it is enfactored with the same mapping as 901edo, while correcting the 901edo's mapping for 7. It is a tuning for the hemiegads temperament in the 7-limit. Aside from this, 1802c val is the tuning for the quinmite temperament.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.068 | -0.076 | +0.098 | +0.069 | -0.128 | +0.261 | +0.156 | -0.305 | -0.054 | -0.307 |
| relative (%) | +0 | -10 | -11 | +15 | +10 | -19 | +39 | +23 | -46 | -8 | -46 | |
| Steps (reduced) |
1802 (0) |
2856 (1054) |
4184 (580) |
5059 (1455) |
6234 (828) |
6668 (1262) |
7366 (158) |
7655 (447) |
8151 (943) |
8754 (1546) |
8927 (1719) | |