10ed10: Difference between revisions

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

Revision as of 23:51, 3 May 2025

← 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.