Archytas family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2010-09-27 16:49:13 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-27 20:34:28 UTC</tt>.<br>

: The original revision id was <tt>~~165809979~~</tt>.<br>

: The original revision id was <tt>165868333</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>

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|3/2 -1/2 1 -1/4>, |3 -1 0 1/2>]

Eigenmonzos: 2, 6/5, 9/7

Lattice basis: 3/2 length 1.0508 5/4 length 2.3219

Angle(3/2, 5/4) = 90 degrees

Map to lattice: [<0 1 0 -2|, <0 0 1 0|]

Map: [<1 0 0 6|, <0 1 0 -2|, <0 0 1 0|]

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===Ares===

Commas: 64/63, 100/99

</pre></div>

Minimax tuning

[|1 0 0 0 0>, |3/2 1/2 0 -1/4 0>,

|2 0 0 -1/2 1/2>, |3 -1 0 1/2 0>,

|3 -1 0 -1/2 1>]

Eigenmonzos: 2, 11/9, 9/7

Map: [<1 0 0 6 2|, <0 1 0 -2 -2|, <0 0 1 0 2|]

Generators: 2, 3, 5

Edos: 12, 15, 22, 37, 49</pre></div>

<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>Archytas family</title></head><body>Archytas temperament tempers out 64/63, and thereby identifies the otonal tetrad with the dominant seventh chord, which is familiar from <a class="wiki_link" href="/12edo">12edo</a> and also a feature of <a class="wiki_link" href="/22edo">22edo</a> and <a class="wiki_link" href="/27edo">27edo</a>.<br />

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|3/2 -1/2 1 -1/4&gt;, |3 -1 0 1/2&gt;]<br />

Eigenmonzos: 2, 6/5, 9/7<br />

<br />

Lattice basis: 3/2 length 1.0508 5/4 length 2.3219<br />

Angle(3/2, 5/4) = 90 degrees<br />

Map to lattice: [&lt;0 1 0 -2|, &lt;0 0 1 0|]<br />

<br />

Map: [&lt;1 0 0 6|, &lt;0 1 0 -2|, &lt;0 0 1 0|]<br />

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<br />

<h3 id="toc1"><a name="x-11 limit children-Ares"></a>Ares</h3>

Commas: 64/63, 100/99</body></html></pre></div>

Commas: 64/63, 100/99<br />

<br />

Minimax tuning<br />

[|1 0 0 0 0&gt;, |3/2 1/2 0 -1/4 0&gt;, <br />

|2 0 0 -1/2 1/2&gt;, |3 -1 0 1/2 0&gt;, <br />

|3 -1 0 -1/2 1&gt;]<br />

Eigenmonzos: 2, 11/9, 9/7<br />

<br />

Map: [&lt;1 0 0 6 2|, &lt;0 1 0 -2 -2|, &lt;0 0 1 0 2|]<br />

Generators: 2, 3, 5<br />

Edos: 12, 15, 22, 37, 49</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-09-27 16:49:13 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-27 20:34:28 UTC</tt>.<br>
-: The original revision id was <tt>165809979</tt>.<br>
+: The original revision id was <tt>165868333</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>
@@ Line 19: / Line 19: @@
 |3/2 -1/2 1 -1/4&gt;, |3 -1 0 1/2&gt;]
 Eigenmonzos: 2, 6/5, 9/7
+Lattice basis: 3/2 length 1.0508 5/4 length 2.3219
+Angle(3/2, 5/4) = 90 degrees
+Map to lattice: [&lt;0 1 0 -2|, &lt;0 0 1 0|]
 Map: [&lt;1 0 0 6|, &lt;0 1 0 -2|, &lt;0 0 1 0|]
@@ Line 28: / Line 32: @@
 ===Ares===
 Commas: 64/63, 100/99
-</pre></div>
+Minimax tuning
+[|1 0 0 0 0&gt;, |3/2 1/2 0 -1/4 0&gt;,
+|2 0 0 -1/2 1/2&gt;, |3 -1 0 1/2 0&gt;,
+|3 -1 0 -1/2 1&gt;]
+Eigenmonzos: 2, 11/9, 9/7
+Map: [&lt;1 0 0 6 2|, &lt;0 1 0 -2 -2|, &lt;0 0 1 0 2|]
+Generators: 2, 3, 5
+Edos: 12, 15, 22, 37, 49</pre></div>
 <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;Archytas family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Archytas temperament tempers out 64/63, and thereby identifies the otonal tetrad with the dominant seventh chord, which is familiar from &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; and also a feature of &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; and &lt;a class="wiki_link" href="/27edo"&gt;27edo&lt;/a&gt;.&lt;br /&gt;
@@ Line 43: / Line 56: @@
 |3/2 -1/2 1 -1/4&amp;gt;, |3 -1 0 1/2&amp;gt;]&lt;br /&gt;
 Eigenmonzos: 2, 6/5, 9/7&lt;br /&gt;
+&lt;br /&gt;
+Lattice basis: 3/2 length 1.0508 5/4 length 2.3219&lt;br /&gt;
+Angle(3/2, 5/4) = 90 degrees&lt;br /&gt;
+Map to lattice: [&amp;lt;0 1 0 -2|, &amp;lt;0 0 1 0|]&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 0 6|, &amp;lt;0 1 0 -2|, &amp;lt;0 0 1 0|]&lt;br /&gt;
@@ Line 51: / Line 68: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-11 limit children-Ares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Ares&lt;/h3&gt;
-Commas: 64/63, 100/99&lt;/body&gt;&lt;/html&gt;</pre></div>
+Commas: 64/63, 100/99&lt;br /&gt;
+&lt;br /&gt;
+Minimax tuning&lt;br /&gt;
+[|1 0 0 0 0&amp;gt;, |3/2 1/2 0 -1/4 0&amp;gt;, &lt;br /&gt;
+|2 0 0 -1/2 1/2&amp;gt;, |3 -1 0 1/2 0&amp;gt;, &lt;br /&gt;
+|3 -1 0 -1/2 1&amp;gt;]&lt;br /&gt;
+Eigenmonzos: 2, 11/9, 9/7&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 0 6 2|, &amp;lt;0 1 0 -2 -2|, &amp;lt;0 0 1 0 2|]&lt;br /&gt;
+Generators: 2, 3, 5&lt;br /&gt;
+Edos: 12, 15, 22, 37, 49&lt;/body&gt;&lt;/html&gt;</pre></div>