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Catalog of rank-4 temperaments: Difference between revisions

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VisualWikitext
Wikispaces>genewardsmith
**Imported revision 168347331 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 168437071 - 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>2010-10-06 13:47:49 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-06 18:25:35 UTC</tt>.<br>
: The original revision id was <tt>168347331</tt>.<br>
: The original revision id was <tt>168437071</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">==441/440==
 
===Commas 441/440, 364/363===
 
13-limit minimax
[|1 0 0 0 0 0&gt;, |5/3 0 1/3 -1/3 -1/3 1/3&gt;,
|1/6 0 5/6 2/3 -5/6 1/3&gt;, |0 0 0 1 0 0&gt;,
|1/6 0 -1/6 2/3 1/6 1/3&gt;, |0 0 0 0 0 1&gt;]
Eigenmonzos: 2, 11/10, 8/7, 16/13
 
15-limit minimax
[|1 0 0 0 0 0&gt;, |5/4 1/4 1/4 -1/4 -1/4 1/4&gt;,
|5/4 -3/4 5/4 -1/4 -1/4 1/4&gt;,
|17/8 -11/8 5/8 -1/8 3/8 1/8&gt;,
|5/2 -3/2 1/2 -1/2 1/2 1/2&gt;,
|17/8 -11/8 5/8 -9/8 3/8 9/8&gt;]
Eigenmonzos: 2, 14/13, 6/5, 11/9
 
Lattice basis: 3/2 1.2263 14/11 1.4629 21/16 1.4657
Map to lattice: [&lt;0 1 1 -1 -1 0|,
&lt;0 0 1 0 -1 -2|, &lt;0 0 1 1 1 1|]
 
Map: [&lt;1 0 0 0 -3 -8|, &lt;0 1 0 0 2 5|,
&lt;0 0 1 0 -1 -2|, &lt;0 0 0 1 2 3|]
Generators: 2, 3, 5
Edos: 15, 23, 26, 29, 41, 43, 46, 58, 113, 130, 159, 217, 289, 393
 
 
==9801/9800==
==9801/9800==


Line 24: Line 51:
Edos: 26, 36, 46, 58, 68, 72, 84, 94, 130, 140, 166, 198, 224, 270, 494, 764, 1186, 1892</pre></div>
Edos: 26, 36, 46, 58, 68, 72, 84, 94, 130, 140, 166, 198, 224, 270, 494, 764, 1186, 1892</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;Rank four temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&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;Rank four temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-441/440"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;441/440&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-9801/9800"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;9801/9800&lt;/h2&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-441/440-Commas 441/440, 364/363"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Commas 441/440, 364/363&lt;/h3&gt;
&lt;br /&gt;
13-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0&amp;gt;, |5/3 0 1/3 -1/3 -1/3 1/3&amp;gt;, &lt;br /&gt;
|1/6 0 5/6 2/3 -5/6 1/3&amp;gt;, |0 0 0 1 0 0&amp;gt;, &lt;br /&gt;
|1/6 0 -1/6 2/3 1/6 1/3&amp;gt;, |0 0 0 0 0 1&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 11/10, 8/7, 16/13&lt;br /&gt;
&lt;br /&gt;
15-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0&amp;gt;, |5/4 1/4 1/4 -1/4 -1/4 1/4&amp;gt;, &lt;br /&gt;
|5/4 -3/4 5/4 -1/4 -1/4 1/4&amp;gt;, &lt;br /&gt;
|17/8 -11/8 5/8 -1/8 3/8 1/8&amp;gt;, &lt;br /&gt;
|5/2 -3/2 1/2 -1/2 1/2 1/2&amp;gt;, &lt;br /&gt;
|17/8 -11/8 5/8 -9/8 3/8 9/8&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 14/13, 6/5, 11/9&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 3/2 1.2263 14/11 1.4629 21/16 1.4657&lt;br /&gt;
Map to lattice: [&amp;lt;0 1 1 -1 -1 0|, &lt;br /&gt;
&amp;lt;0 0 1 0 -1 -2|, &amp;lt;0 0 1 1 1 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 0 -3 -8|, &amp;lt;0 1 0 0 2 5|, &lt;br /&gt;
&amp;lt;0 0 1 0 -1 -2|, &amp;lt;0 0 0 1 2 3|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
Edos: 15, 23, 26, 29, 41, 43, 46, 58, 113, 130, 159, 217, 289, 393&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-9801/9800"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;9801/9800&lt;/h2&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-9801/9800-Commas 2080/2079, 1716/1715"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Commas 2080/2079, 1716/1715&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-9801/9800-Commas 2080/2079, 1716/1715"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Commas 2080/2079, 1716/1715&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
13 and 15 limit minimax&lt;br /&gt;
13 and 15 limit minimax&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/Catalog_of_rank-4_temperaments"