64edo: Difference between revisions

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The <b>64 equal division</b> or <b>64-EDO</b> divides the octave into 64 equal parts of exactly 18.75 cents each. The patent val tempers out 648/625 in the 5-limit and 64/63 and 225/224 in the 7-limit, plus 121/120 and 441/440 in the 11-limit and 144/143 in the 13-limit. It provides the optimal patent val in the 7-, 11- and 13-limits for the 16&amp;64 temperament, which would perhaps be of more interest if it was lower in badness.
The <b>64 equal division</b> or <b>64-EDO</b> divides the octave into 64 equal parts of exactly 18.75 cents each. The patent val tempers out 648/625 in the 5-limit and 64/63 and 225/224 in the 7-limit, plus 121/120 and 441/440 in the 11-limit and 144/143 in the 13-limit. It provides the optimal patent val in the 7-, 11- and 13-limits for the 16&amp;64 temperament, which would perhaps be of more interest if it was lower in badness.
{{harmonics in equal|64}}
=Intervals=
=Intervals=
{| class="wikitable"
{| class="wikitable"