10ed10

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

← 9ed10

10ed10

11ed10 →

Prime factorization	2 × 5
Step size	398.631 ¢
Octave	3\10ed10 (1195.89 ¢) (convergent)
Twelfth	5\10ed10 (1993.16 ¢) (→ 1\2ed10)
Consistency limit	6
Distinct consistency limit	4

10ed10 is the equal division of 10/1 into steps of 398.631 cents.

It is equivalent to 3edo, but with 10/1 instead of 2/1 being just. One step of 10ed10 is close to the 5/4 major third and the 400-cent interval of 12edo, which means it tempers out 128/125 just like 12edo.

One step of 10ed10 may be called a decidecade. Sonification-wise, if a power quantity is mapped to the frequency scale, one step is a decibel.