Canopic family: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

#redirect [[Miscellaneous 7-limit temperaments #Canopic a.k.a. mirkwai]]

~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~

~~: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-25 12:30:43 UTC</tt>.<br>~~

~~: The original revision id was <tt>165352145</tt>.<br>~~

~~: The revision comment was: <tt>links added</tt><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>~~

~~<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">===Vital statistics===

[[~~Comma]]: mirkwai 16875/16807~~

7-limit ~~minimax~~

~~[|1 0 0 0>, |0 4/7 -4/7 5/7>,~~

~~|0 -3/7 3/7 5/7>, |0 0 0 1>]~~

~~[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5~~

~~9-limit minimax~~

~~[|1 0 0 0>, |0 8/11 -4/11 5/11>,~~

~~|0 -6/11 3/11 10/11>, |0 0 0 1>]~~

~~[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7~~

~~Map: [<1 0 0 0|, <0 1 3 3|, <0 0 -5 -4|]~~

~~[[Generator|Generators]]: 2, 3, 7/5~~

~~[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[193edo|193]], [[224edo|224]], [[296edo|296]], [[327edo|327]], [[775edo|775]]~~

~~==11-limit children==~~

~~===Indra===~~

~~[[Comma|Commas]]: 540/539, 1375/1372~~

~~[[Minimax tuning]]~~

~~[|1 0 0 0 0>, |10 10 -3 0 -5>, |0 0 1 0 0>,~~

~~|6 6 -1 0 -3>, |20 18 -6 0 -9>]~~

~~[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4~~

~~Lattice basis: 15/14 length 0.6184 55/36 length 0.7585~~

~~Angle(15/14, 55/36) = 68.1048 cents~~

~~Map to lattice: [<0 2 1 2 3|, <0 -1 2 1 -3|]~~

~~Map: [<1 0 0 0 2|, <0 1 3 3 0|, <0 0 -5 -4 3|]~~

~~[[Generator|Generators]]: 2, 3, 7/5~~

~~[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]]</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>Mirkwai family</title></head><body><h3 id="toc0"><a name="x--Vital statistics"></a>Vital statistics</h3>

~~<a class="wiki_link" href="/Comma">Comma</~~a~~>: mirkwai 16875/16807<br />~~

~~<br />~~

~~7-limit minimax<br />~~

~~[|1 0 0 0&gt;, |0 4/7 -4/7 5/7&gt;, <br />~~

~~|0 -3/7 3/7 5/7&gt;, |0 0 0 1&gt;]<br />~~

~~<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 8/7, 6/5<br />~~

~~<br />~~

~~9-limit minimax<br />~~

~~[|1 0 0 0&gt;, |0 8/11 -4/11 5/11&gt;, <br />~~

~~|0 -6/11 3/11 10/11&gt;, |0 0 0 1&gt;]<br />~~

~~<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 8/7<br />~~

~~<br />~~

~~Map: [&lt;1 0 0 0|, &lt;0 1 3 3|, &lt;0 0 -5 -4|]<br />~~

~~<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />~~

~~<br />~~

<h2 id="toc1"><a name="x-11-limit children"></a>11-limit children</h2>

~~<br />~~

~~<h3 id="toc2"><a name="x-11-limit children-Indra"></a>Indra</h3>~~

~~<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372<br />~~

~~<br />~~

~~<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />~~

~~[|1 0 0 0 0&gt;, |10 10 -3 0 -5&gt;, |0 0 1 0 0&gt;, <br />~~

~~|6 6 -1 0 -3&gt;, |20 18 -6 0 -9&gt;]<br />~~

~~<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 5/4<br />~~

~~<br />~~

~~Lattice basis: 15/14 length 0~~.~~6184 55/36 length 0~~.~~7585<br />~~

~~Angle(15/14, 55/36) = 68~~.~~1048 cents<br />~~

~~Map to lattice: [&lt;0 2 1 2 3|, &lt;0 -1 2 1 -3|~~]~~<br />~~

~~<br />~~

~~Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|~~]~~<br />~~

~~<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+#redirect [[Miscellaneous 7-limit temperaments #Canopic a.k.a. mirkwai]]
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-25 12:30:43 UTC</tt>.<br>
-: The original revision id was <tt>165352145</tt>.<br>
-: The revision comment was: <tt>links added</tt><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>
-<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">===Vital statistics===
-[[Comma]]: mirkwai 16875/16807
--limit minimax
-[|1 0 0 0&gt;, |0 4/7 -4/7 5/7&gt;,
-|0 -3/7 3/7 5/7&gt;, |0 0 0 1&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5
--limit minimax
-[|1 0 0 0&gt;, |0 8/11 -4/11 5/11&gt;,
-|0 -6/11 3/11 10/11&gt;, |0 0 0 1&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7
-Map: [&lt;1 0 0 0|, &lt;0 1 3 3|, &lt;0 0 -5 -4|]
-[[Generator|Generators]]: 2, 3, 7/5
-[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[193edo|193]], [[224edo|224]], [[296edo|296]], [[327edo|327]], [[775edo|775]]
-==11-limit children==
-===Indra===
-[[Comma|Commas]]: 540/539, 1375/1372
-[[Minimax tuning]]
-[|1 0 0 0 0&gt;, |10 10 -3 0 -5&gt;, |0 0 1 0 0&gt;,
-|6 6 -1 0 -3&gt;, |20 18 -6 0 -9&gt;]
-[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4
-Lattice basis: 15/14 length 0.6184 55/36 length 0.7585
-Angle(15/14, 55/36) = 68.1048 cents
-Map to lattice: [&lt;0 2 1 2 3|, &lt;0 -1 2 1 -3|]
-Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|]
-[[Generator|Generators]]: 2, 3, 7/5
-[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]]</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;Mirkwai family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: mirkwai 16875/16807&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-[|1 0 0 0&amp;gt;, |0 4/7 -4/7 5/7&amp;gt;, &lt;br /&gt;
-|0 -3/7 3/7 5/7&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 8/7, 6/5&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-[|1 0 0 0&amp;gt;, |0 8/11 -4/11 5/11&amp;gt;, &lt;br /&gt;
-|0 -6/11 3/11 10/11&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 8/7&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0|, &amp;lt;0 1 3 3|, &amp;lt;0 0 -5 -4|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 7/5&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/193edo"&gt;193&lt;/a&gt;, &lt;a class="wiki_link" href="/224edo"&gt;224&lt;/a&gt;, &lt;a class="wiki_link" href="/296edo"&gt;296&lt;/a&gt;, &lt;a class="wiki_link" href="/327edo"&gt;327&lt;/a&gt;, &lt;a class="wiki_link" href="/775edo"&gt;775&lt;/a&gt;&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-11-limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit children&lt;/h2&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-11-limit children-Indra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Indra&lt;/h3&gt;
-&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372&lt;br /&gt;
-&lt;br /&gt;
-&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
-[|1 0 0 0 0&amp;gt;, |10 10 -3 0 -5&amp;gt;, |0 0 1 0 0&amp;gt;, &lt;br /&gt;
-|6 6 -1 0 -3&amp;gt;, |20 18 -6 0 -9&amp;gt;]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/9, 5/4&lt;br /&gt;
-&lt;br /&gt;
-Lattice basis: 15/14 length 0.6184 55/36 length 0.7585&lt;br /&gt;
-Angle(15/14, 55/36) = 68.1048 cents&lt;br /&gt;
-Map to lattice: [&amp;lt;0 2 1 2 3|, &amp;lt;0 -1 2 1 -3|]&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0 2|, &amp;lt;0 1 3 3 0|, &amp;lt;0 0 -5 -4 3|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 7/5&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/224edo"&gt;224&lt;/a&gt;, &lt;a class="wiki_link" href="/296edo"&gt;296&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>