783edo
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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
| ← 782edo | 783edo | 784edo → |
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
| 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) | |