415edo

Revision as of 21:54, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)

The 415 equal division divides the octave into 415 equal parts of 2.892 cents each. In the 5-limit it tempers out the parakleisma, |8 14 -13>; in the 7-limit 3136/3125 and 4375/4374, so that it supports parakleismic temperament and provides the optimal patent val.

← 414edo 415edo 416edo →
Prime factorization 5 × 83
Step size 2.89157 ¢ 
Fifth 243\415 (702.651 ¢)
Semitones (A1:m2) 41:30 (118.6 ¢ : 86.75 ¢)
Consistency limit 7
Distinct consistency limit 7