513edo

From Xenharmonic Wiki
Jump to navigation Jump to search
This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

This page is a stub. You can help the Xenharmonic Wiki by expanding it.
← 512edo 513edo 514edo →
Prime factorization 33 × 19
Step size 2.33918 ¢ 
Fifth 300\513 (701.754 ¢) (→ 100\171)
Semitones (A1:m2) 48:39 (112.3 ¢ : 91.23 ¢)
Consistency limit 11
Distinct consistency limit 11

513EDO is the equal division of the octave into 513 parts of 2.33918 cents each (dividing the steps of 171EDO into three). It is consistent to the 11-limit, tempering out 4000/3993, 12005/11979, and 46656/46585 using the patent val. Using the alternative 513e val, 35937/35840, 42592/42525, and 166375/165888 are tempered out in the 11-limit.