783edo

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← 782edo783edo784edo →
Prime factorization 33 × 29
Step size 1.53257¢
Fifth 458\783 (701.916¢)
Semitones (A1:m2) 74:59 (113.4¢ : 90.42¢)
Consistency limit 11
Distinct consistency limit 11

783 equal divisions of the octave (783edo), or 783-tone equal temperament (783tet), 783 equal temperament (783et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 783 equal parts of about 1.53 ¢ each.

It provides solid approximations of the 5-limit, the 7-limit and the 11-limit, and is consistent up to the 11-limit, making it a flexible and versatile tuning. It is a tuning for the counterschismic, dodifo, ennealimmal, raider, vavoom, and francium.

It supports the rank-3 temperaments: Breed, Landscape, Ragismic.

Prime harmonics

Approximation of prime harmonics in 783edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000 -0.039 -0.107 -0.244 +0.406 -0.681 -0.741 -0.195 +0.078 +0.308 -0.208
relative (%) +0 -3 -7 -16 +27 -44 -48 -13 +5 +20 -14
Steps
(reduced)
783
(0)
1241
(458)
1818
(252)
2198
(632)
2709
(360)
2897
(548)
3200
(68)
3326
(194)
3542
(410)
3804
(672)
3879
(747)