836edo

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← 835edo836edo837edo →
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

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

Approximation of prime harmonics in 836edo
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.