40edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 232652694 - Original comment: **
Wikispaces>xenwolf
**Imported revision 239663619 - Original comment: **
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<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:genewardsmith|genewardsmith]] and made on <tt>2011-05-28 23:58:29 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-07-01 11:58:39 UTC</tt>.<br>
: The original revision id was <tt>232652694</tt>.<br>
: The original revision id was <tt>239663619</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">The //40 equal division// divides the octave into 40 equal parts of exactly 30 cents each. It has a generally flat tendency, with fifths 12 cents flat. It 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.</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;40edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;40 equal division&lt;/em&gt; divides the octave into 40 equal parts of exactly 30 cents each. It has a generally flat tendency, with fifths 12 cents flat. It 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. &lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;40edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;40edo&lt;/strong&gt; is the &lt;a class="wiki_link" href="/equal%20division%20of%20the%20octave"&gt;equal division of the octave&lt;/a&gt; into 40 parts of exactly 30 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. It has a generally flat tendency, with fifths 12 cents flat. It &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; 648/625 in the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;; 225/224 and in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;; 99/98, 121/120 and 176/175 in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt;; and 66/65 in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
40edo is more accurate on the 2.9.5.21.33.13.51.19 &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt; 2*40 subgroup&lt;/a&gt;, where it offers the same tuning as 80edo, and tempers out the same commas.&lt;/body&gt;&lt;/html&gt;</pre></div>
40edo is more accurate on the 2.9.5.21.33.13.51.19 &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt; 2*40 subgroup&lt;/a&gt;, where it offers the same tuning as &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt;, and tempers out the same commas.&lt;/body&gt;&lt;/html&gt;</pre></div>