14348edo

From Xenharmonic Wiki
Revision as of 22:23, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
Jump to navigation Jump to search
← 14347edo 14348edo 14349edo →
Prime factorization 22 × 17 × 211
Step size 0.0836353 ¢ 
Fifth 8393\14348 (701.951 ¢)
Semitones (A1:m2) 1359:1079 (113.7 ¢ : 90.24 ¢)
Consistency limit 29
Distinct consistency limit 29

The 14348 division divides the octave into 14348 equal parts of 0.083635 cents each. It is a strong 17-limit system, with a lower 17-limit relative error than any smaller edo aside from 7033. It is also distinctly consistent in the 29 limit, and has a lower 23-limit relative error than any lower division aside from 2460, 8269, 8539 and 11664. Besides all that it is a zeta peak edo. It factors as 2^2 * 17 * 211, so 17, 34, 68 and 422 are all divisors.