Octagar 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>2010-09-07 17:~~53:23~~ UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-25 14:17:30 UTC</tt>.<br>

: The original revision id was <tt>~~160953089~~</tt>.<br>

: The original revision id was <tt>165363865</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 = 4000/3969

7-limit minimax: 3 and 7 1/6c sharp, 5 just

[|1 0 0 0>, |5/6 1/3 1/2 -1/3>,

|0 0 1 0>, |5/6 -2/3 1/2 2/3>]

Eigenmonzos: 2, 7/6, 5/4

9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp

[|1 0 0 0>, |5/8 1/2 3/8 -1/4>,

|0 0 1 0>, |5/4 -1 3/4 1/2>]

Eigenmonzos: 2, 5/4, 9/7

Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605

Angle(63/50, 21/20) = 97.743 cents

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

Comma c = 4000/3969<br />

<br />

7-limit minimax: 3 and 7 1/6c sharp, 5 just<br />

[|1 0 0 0&gt;, |5/6 1/3 1/2 -1/3&gt;, <br />

|0 0 1 0&gt;, |5/6 -2/3 1/2 2/3&gt;]<br />

Eigenmonzos: 2, 7/6, 5/4<br />

<br />

9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp<br />

[|1 0 0 0&gt;, |5/8 1/2 3/8 -1/4&gt;, <br />

|0 0 1 0&gt;, |5/4 -1 3/4 1/2&gt;]<br />

Eigenmonzos: 2, 5/4, 9/7<br />

<br />

Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605<br />

Angle(63/50, 21/20) = 97.743 cents<br />

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

EDOs: 162, 189, 215, 230</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>2010-09-07 17:53:23 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-25 14:17:30 UTC</tt>.<br>
-: The original revision id was <tt>160953089</tt>.<br>
+: The original revision id was <tt>165363865</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 10: / Line 10: @@
 ===Vital statistics===
 Comma c = 4000/3969
 -limit minimax: 3 and 7 1/6c sharp, 5 just
+[|1 0 0 0&gt;, |5/6 1/3 1/2 -1/3&gt;,
+|0 0 1 0&gt;, |5/6 -2/3 1/2 2/3&gt;]
+Eigenmonzos: 2, 7/6, 5/4
 -limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp
+[|1 0 0 0&gt;, |5/8 1/2 3/8 -1/4&gt;,
+|0 0 1 0&gt;, |5/4 -1 3/4 1/2&gt;]
+Eigenmonzos: 2, 5/4, 9/7
 Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605
 Angle(63/50, 21/20) = 97.743 cents
@@ Line 21: / Line 30: @@
 &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;
 Comma c = 4000/3969&lt;br /&gt;
+&lt;br /&gt;
 -limit minimax: 3 and 7 1/6c sharp, 5 just&lt;br /&gt;
+[|1 0 0 0&amp;gt;, |5/6 1/3 1/2 -1/3&amp;gt;, &lt;br /&gt;
+|0 0 1 0&amp;gt;, |5/6 -2/3 1/2 2/3&amp;gt;]&lt;br /&gt;
+Eigenmonzos: 2, 7/6, 5/4&lt;br /&gt;
+&lt;br /&gt;
 -limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp&lt;br /&gt;
+[|1 0 0 0&amp;gt;, |5/8 1/2 3/8 -1/4&amp;gt;, &lt;br /&gt;
+|0 0 1 0&amp;gt;, |5/4 -1 3/4 1/2&amp;gt;]&lt;br /&gt;
+Eigenmonzos: 2, 5/4, 9/7&lt;br /&gt;
+&lt;br /&gt;
 Lattice basis: 63/50 length 0.8966, 21/20 length 1.0605&lt;br /&gt;
 Angle(63/50, 21/20) = 97.743 cents&lt;br /&gt;
 Map to lattice: [&amp;lt;0 -1 -2 -1|, &amp;lt;0 -1 0 2|]&lt;br /&gt;
 EDOs: 162, 189, 215, 230&lt;/body&gt;&lt;/html&gt;</pre></div>