836edo
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Prime factorization
22 × 11 × 19
Step size
1.43541¢
Fifth
489\836 (701.914¢)
Semitones (A1:m2)
79:63 (113.4¢ : 90.43¢)
Consistency limit
11
Distinct consistency limit
11
| ← 835edo | 836edo | 837edo → |
836 equal divisions of the octave (836edo), or 836-tone equal temperament (836tet), 836 equal temperament (836et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 836 equal parts of about 1.44 ¢ each.
836edo is a strong 11-limit system, having the lowest absolute error beating 612edo.
836edo is a tuning for the enneadecal in the 7-limit as well as the hemienneadecal in the 11-limit. It also tunes orga and quasithird. In addition, it is divisible by 44 and in light of that it tunes ruthenium in the 7-limit and also 11-limit.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.041 | -0.189 | +0.074 | -0.122 | +0.621 | -0.171 | -0.384 | +0.434 | -0.391 | +0.419 |
| relative (%) | +0 | -3 | -13 | +5 | -8 | +43 | -12 | -27 | +30 | -27 | +29 | |
| Steps (reduced) |
836 (0) |
1325 (489) |
1941 (269) |
2347 (675) |
2892 (384) |
3094 (586) |
3417 (73) |
3551 (207) |
3782 (438) |
4061 (717) |
4142 (798) | |
Subsets and supersets
836edo has subset edos 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418.