13edo and optimal octave stretching: Difference between revisions
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[[13edo]] has its [[ | [[13edo]] has its [[Riemann zeta function|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. | 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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[[Category:13-tone scales]] | [[Category:13-tone scales]] | ||
[[Category:Tempered scales]] | [[Category:Tempered scales]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Zeta]] | [[Category:Zeta]] | ||
[[Category:13edo]] | [[Category:13edo]] | ||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||