640edo

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.
← 639edo 640edo 641edo →
Prime factorization 27 × 5
Step size 1.875 ¢ 
Fifth 374\640 (701.25 ¢) (→ 187\320)
Semitones (A1:m2) 58:50 (108.8 ¢ : 93.75 ¢)
Dual sharp fifth 375\640 (703.125 ¢) (→ 75\128)
Dual flat fifth 374\640 (701.25 ¢) (→ 187\320)
Dual major 2nd 109\640 (204.375 ¢)
Consistency limit 5
Distinct consistency limit 5

The 640 equal divisions divides the octave into 640 equal parts of precisely 1.875 cents each. It is contorted in the 5-limit, tempering out the vishnuzma, |23 6 -14>, with the same tuning as 320edo. In the 7-limit it tempers out 19683/19600 and | 16 2 -1 -6 > and in the 11-limit it tempers out 540/539, 8019/8000 and | 14 -1 -2 -4 1 >. It provides the optimal patent val for the rank three albus temperament tempering out 540/539 and 8019/8000, and the 125&130 temperament.