10ed10: Difference between revisions

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Decidecade is a real thing (much more appropriate than decibel here)
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{{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]].


In real-life, one step of 10ed10 forms the basis of the unit of measurement [[wikipedia:decibel|decibel]].
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:Sonifications]]
[[Category:Sonifications]]

Revision as of 08:53, 8 August 2023

← 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.