40edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 239663619 - Original comment: ** |
Wikispaces>guest **Imported revision 241167779 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:guest|guest]] and made on <tt>2011-07-13 11:10:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>241167779</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**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]]. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**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.</pre></div> | 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.</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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 /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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 /> | <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.</body></html></pre></div> | 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></pre></div> | ||