783edo

Revision as of 18:35, 14 May 2023 by Eliora (talk | contribs) (style, + fact that it supports francium)
← 782edo 783edo 784edo →
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

Template:EDO intro

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 (%) +0.0 -2.6 -7.0 -15.9 +26.5 -44.4 -48.3 -12.7 +5.1 +20.1 -13.6
Steps
(reduced)
783
(0)
1241
(458)
1818
(252)
2198
(632)
2709
(360)
2897
(548)
3200
(68)
3326
(194)
3542
(410)
3804
(672)
3879
(747)