13edo and optimal octave stretching

Revision as of 13:47, 6 March 2023 by Contribution (talk | contribs)

13edo has its local zeta peak at 12.96866 edo, which corresponds to an octave equivalence of 1202.9 cents.

Interestingly, this stretching improves both its acoustic phi interval (9/13), which now has an error of only -0.3 cents, as well as its logarithmic phi interval (21/13), which now has an error of only +1.5 cents.

! 13edo_optimal-stretching.scl
!
13 equal divisions of 13edo local zeta peak
13
!
92.530775
185.061549
277.592324
370.123099
462.653873
555.184648
647.715422
740.246197
832.776972
925.307746
1017.838521
1110.369296
1202.90007