40edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author guest and made on 2011-07-13 11:10:52 UTC.
- The original revision id was 241167779.
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Original Wikitext content:
**40edo** is the [[equal division of the octave]] into 40 parts of exactly 30 [[cent]]s each. It has a generally flat tendency, with fifths 12 cents flat. It [[tempering out|tempers out]] 648/625 in the [[5-limit]]; 225/224 and in the [[7-limit]]; 99/98, 121/120 and 176/175 in the [[11-limit]]; and 66/65 in the [[13-limit]]. 40edo is more accurate on the 2.9.5.21.33.13.51.19 [[k*N subgroups| 2*40 subgroup]], where it offers the same tuning as [[80edo]], and tempers out the same commas. It is also the first equal temperament to approximate both the 23rd and 19th harmonic, by tempering out the 9 cent comma to 4-edo, with 10 divisions therein.
Original HTML content:
<html><head><title>40edo</title></head><body><strong>40edo</strong> is the <a class="wiki_link" href="/equal%20division%20of%20the%20octave">equal division of the octave</a> into 40 parts of exactly 30 <a class="wiki_link" href="/cent">cent</a>s each. It has a generally flat tendency, with fifths 12 cents flat. It <a class="wiki_link" href="/tempering%20out">tempers out</a> 648/625 in the <a class="wiki_link" href="/5-limit">5-limit</a>; 225/224 and in the <a class="wiki_link" href="/7-limit">7-limit</a>; 99/98, 121/120 and 176/175 in the <a class="wiki_link" href="/11-limit">11-limit</a>; and 66/65 in the <a class="wiki_link" href="/13-limit">13-limit</a>.<br /> <br /> 40edo is more accurate on the 2.9.5.21.33.13.51.19 <a class="wiki_link" href="/k%2AN%20subgroups"> 2*40 subgroup</a>, where it offers the same tuning as <a class="wiki_link" href="/80edo">80edo</a>, and tempers out the same commas. It is also the first equal temperament to approximate both the 23rd and 19th harmonic, by tempering out the 9 cent comma to 4-edo, with 10 divisions therein.</body></html>