10ed10: Difference between revisions
Jump to navigation
Jump to search
m Marked as novelty |
m Mathematical interest |
||
| (4 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
{{ | {{Mathematical interest}} | ||
{{Infobox ET}} | {{Infobox ET}} | ||
10ed10 is the equal division of [[10/1]] into steps of 398.631 cents. | 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]]. | 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 [[wikipedia: decibel|decibel]]. | |||
[[Category:Macrotonal]] | [[Category:Macrotonal]] | ||
[[Category: | [[Category:Sonifications]] | ||
Latest revision as of 22:14, 10 August 2025
|
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 → |
(convergent)
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.