1920edo

Revision as of 22:13, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
← 1919edo 1920edo 1921edo →
Prime factorization 27 × 3 × 5
Step size 0.625 ¢ 
Fifth 1123\1920 (701.875 ¢)
Semitones (A1:m2) 181:145 (113.1 ¢ : 90.63 ¢)
Consistency limit 25
Distinct consistency limit 25

The 1920 division divides the octave into 1920 equal parts of exactly 0.625 cents each. It is distinctly consistent through the 25 limit, and in terms of 23-limit relative error, only 1578 and 1889 are both smaller and with a lower relative error. In the 29-limit, only 1578 beats it, and in the 31, 37, 41, 43 and 47 limits, nothing beats it. Because of this and because it is a highly composite number divisible by 12, it is another candidate for interval size measure.

1920 = 2^7 * 3 * 5; some of its divisors are 10, 12, 15, 16, 24, 60, 80, 96, 128, 240, 320 and 640.