Associated temperament: Difference between revisions
Wikispaces>genewardsmith **Imported revision 299304408 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 299327072 - 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>2012-02-07 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-07 11:38:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>299327072</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"> | <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">By an //associated temperament// to a comma is meant a temperament which shares the same [[optimal patent val]] as the [[Rank and codimension|codimension one]] temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament. | ||
=7 limit= | =7 limit= | ||
|| Comma || OPV || Temperament || Basis || | || Comma || OPV || Temperament || Basis || | ||
|| 525/512 || [[45edo]] || [[flattone]] || 81/80, 525/512 || | |||
|| 49/48 || [[19edo]] || [[keemun]] || 49/48, 126/125 || | |||
|| 49/48 || [[19edo]] || [[godzilla]] || 49/48, 81/80 || | |||
|| 50/49 || [[48edo]] || [[doublewide]] || 50/49, 875/864 || | |||
|| 64/63 || [[49edo]] || [[superpyth]] || 64/63, 245/243 || | || 64/63 || [[49edo]] || [[superpyth]] || 64/63, 245/243 || | ||
|| 875/864 || [[41edo]] || [[magic]] || 225/224, 245/243 || | || 875/864 || [[41edo]] || [[magic]] || 225/224, 245/243 || | ||
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</pre></div> | </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>Associated rank two temperaments</title></head><body><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>Associated rank two temperaments</title></head><body>By an <em>associated temperament</em> to a comma is meant a temperament which shares the same <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> as the <a class="wiki_link" href="/Rank%20and%20codimension">codimension one</a> temperament tempering out that comma. By definition, the optimal patent val defines the unique rank one associated temperament. For rank two temperaments, it is possible for more than one temperament to be associated, and some of these are listed below. The column headings are the comma being associated, the optimal patent val, the rank two temperament, and a comma basis for the rank two temperament.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x7 limit"></a><!-- ws:end:WikiTextHeadingRule:0 -->7 limit</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x7 limit"></a><!-- ws:end:WikiTextHeadingRule:0 -->7 limit</h1> | ||
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</td> | </td> | ||
<td>Basis<br /> | <td>Basis<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td>525/512<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/45edo">45edo</a><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/flattone">flattone</a><br /> | |||
</td> | |||
<td>81/80, 525/512<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>49/48<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/19edo">19edo</a><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/keemun">keemun</a><br /> | |||
</td> | |||
<td>49/48, 126/125<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>49/48<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/19edo">19edo</a><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/godzilla">godzilla</a><br /> | |||
</td> | |||
<td>49/48, 81/80<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>50/49<br /> | |||
</td> | |||
<td><a class="wiki_link" href="/48edo">48edo</a><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/doublewide">doublewide</a><br /> | |||
</td> | |||
<td>50/49, 875/864<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||