# 836edo

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Prime factorization
2
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 → |

^{2}× 11 × 19**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.