13edo and optimal octave stretching: Difference between revisions
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 [[The Riemann zeta function and tuning|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 | 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. | ||
<pre> | <pre> | ||
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1202.90007 | 1202.90007 | ||
</pre> | </pre> | ||
[[Category:13-tone scales]] | |||
[[Category:Tempered scales]] | |||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Zeta]] | |||
[[Category:13edo]] | |||
[[Category:Pages with Scala files]] | |||