Starling 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-~~28 20~~:43:08 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-23 15:42:24 UTC</tt>.<br>

: The original revision id was <tt>~~166238665~~</tt>.<br>

: The original revision id was <tt>173012519</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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===Vital statistics===

[[Comma]] c = 126/125

7- and 9-limit minimax: 3 and 7 just, 5 1/3c sharp

[<1 0 0 0|, <0 1 0 0|, <1/3 2/3 0 1/3|, <0 0 0 1|]

Eigenmonzos: 2, 8/7, 4/3

Minkowski lattice basis: 6/5 length 1.068, 5/4 length 1.206

Angle(6/5, 5/4) = 100.364 degrees

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

[[edo|EDOs]]: [[77edo|77]], [[108edo|108]], [[185edo|185]]

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

Generators: 2, 3, 5

[[edo|EDOs]]: 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, [[77edo|77]], [[108edo|108]], [[185edo|185]]

==11 limit children==

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<h3 id="toc0"><a name="x--Vital statistics"></a>Vital statistics</h3>

<a class="wiki_link" href="/Comma">Comma</a> c = 126/125<br />

<br />

7- and 9-limit minimax: 3 and 7 just, 5 1/3c sharp<br />

[&lt;1 0 0 0|, &lt;0 1 0 0|, &lt;1/3 2/3 0 1/3|, &lt;0 0 0 1|]<br />

Eigenmonzos: 2, 8/7, 4/3<br />

<br />

Minkowski lattice basis: 6/5 length 1.068, 5/4 length 1.206<br />

Angle(6/5, 5/4) = 100.364 degrees<br />

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

<br />

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

Generators: 2, 3, 5<br />

<br />

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

@@ 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>2010-09-28 20:43:08 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-23 15:42:24 UTC</tt>.<br>
-: The original revision id was <tt>166238665</tt>.<br>
+: The original revision id was <tt>173012519</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 14: / Line 14: @@
 ===Vital statistics===
 [[Comma]] c = 126/125
 - and 9-limit minimax: 3 and 7 just, 5 1/3c sharp
+[&lt;1 0 0 0|, &lt;0 1 0 0|, &lt;1/3 2/3 0 1/3|, &lt;0 0 0 1|]
+Eigenmonzos: 2, 8/7, 4/3
 Minkowski lattice basis: 6/5 length 1.068, 5/4 length 1.206
 Angle(6/5, 5/4) = 100.364 degrees
 Map to lattice: [&lt;0 1 0 -2|, &lt;0 1 1 1|]
-[[edo|EDOs]]: [[77edo|77]], [[108edo|108]], [[185edo|185]]
+Map: [&lt;1 0 0 -5|, &lt;0 1 0 2|, &lt;0 0 1 2|]
+Generators: 2, 3, 5
+[[edo|EDOs]]: 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, [[77edo|77]], [[108edo|108]], [[185edo|185]]
 ==11 limit children==
@@ Line 89: / Line 96: @@
 &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; c = 126/125&lt;br /&gt;
+&lt;br /&gt;
 - and 9-limit minimax: 3 and 7 just, 5 1/3c sharp&lt;br /&gt;
+[&amp;lt;1 0 0 0|, &amp;lt;0 1 0 0|, &amp;lt;1/3 2/3 0 1/3|, &amp;lt;0 0 0 1|]&lt;br /&gt;
+Eigenmonzos: 2, 8/7, 4/3&lt;br /&gt;
+&lt;br /&gt;
 Minkowski lattice basis: 6/5 length 1.068, 5/4 length 1.206&lt;br /&gt;
 Angle(6/5, 5/4) = 100.364 degrees&lt;br /&gt;
 Map to lattice: [&amp;lt;0 1 0 -2|, &amp;lt;0 1 1 1|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/108edo"&gt;108&lt;/a&gt;, &lt;a class="wiki_link" href="/185edo"&gt;185&lt;/a&gt;&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 0 -5|, &amp;lt;0 1 0 2|, &amp;lt;0 0 1 2|]&lt;br /&gt;
+Generators: 2, 3, 5&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/108edo"&gt;108&lt;/a&gt;, &lt;a class="wiki_link" href="/185edo"&gt;185&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;