13edo and optimal octave stretching: Difference between revisions
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Contribution (talk | contribs) Created page with "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 inter..." |
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13edo has its local zeta peak at 12.96866 edo, which corresponds to an octave equivalence of 1202.9 cents. | [[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 | 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. | ||
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Revision as of 13:47, 6 March 2023
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