10ed8/3: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
CompactStar (talk | contribs)
Tags: Mobile edit Mobile web edit
CompactStar (talk | contribs)
Tags: Mobile edit Mobile web edit
Line 2: Line 2:
{{ED intro}}
{{ED intro}}
== Theory ==
== Theory ==
10ed8/3 can be seen as a very compressed version of [[7edo]]. The [[octave stretching|octave compression]] results in s more accurate perfect fourth, at the expense of the fifth, which becomes a sharp [[Mavila]] fifth.
10ed8/3 can be seen as a very compressed version of [[7edo]]. The [[octave stretching|octave compression]] results in a more accurate perfect fourth, at the expense of the fifth, which becomes a sharp [[Mavila]] fifth.

Revision as of 01:58, 17 March 2025

← 9ed8/3 10ed8/3 11ed8/3 →
Prime factorization 2 × 5
Step size 169.804 ¢ 
Octave 7\10ed8/3 (1188.63 ¢)
(semiconvergent)
Twelfth 11\10ed8/3 (1867.85 ¢)
Consistency limit 6
Distinct consistency limit 5

10 equal divisions of 8/3 (abbreviated 10ed8/3) is a nonoctave tuning system that divides the interval of 8/3 into 10 equal parts of about 170 ¢ each. Each step represents a frequency ratio of (8/3)1/10, or the 10th root of 8/3.

Theory

10ed8/3 can be seen as a very compressed version of 7edo. The octave compression results in a more accurate perfect fourth, at the expense of the fifth, which becomes a sharp Mavila fifth.