Ragismic family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 169075249 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 172943485 - Original comment: **
Line 1: Line 1:
<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>2010-10-08 22:56:26 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-23 01:44:19 UTC</tt>.<br>
: The original revision id was <tt>169075249</tt>.<br>
: The original revision id was <tt>172943485</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>
Line 8: Line 8:
<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">Comma: 4375/4374
<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">Comma: 4375/4374


7-limit minimax
7-limit
[|1 0 0 0&gt;, |-1/7 0 4/7 1/7&gt;,  
[|1 0 0 0&gt;, |-1/7 0 4/7 1/7&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]
|0 0 1 0&gt;, |0 0 0 1&gt;]
Eigenmonzos: 2, 8/7, 5/4
Eigenmonzos: 2, 5, 7


9-limit minimax
9-limit
||1 0 0 0&gt;, |0 1 0 0&gt;,  
[|1 0 0 0&gt;, |0 1 0 0&gt;, |1/5 7/5 1/5 -1/5&gt;,  
|1/5 7/5 1/5 -1/5&gt;, |1/5 7/5 -4/5 4/5&gt;]
|1/5 7/5 -4/5 4/5&gt;]
Eigenmonzos: 2, 3, 7/5
Eigenmonzos: 2, 4/3, 7/5
 
Lattice basis: 10/9 length=0.789 6/5 length=0.921
Angle(10/9, 6/5) = 105.299
Map to lattice: [&lt;0 -1 -1 -3|, &lt;0 -1 -2 1|]


Map: [&lt;1 0 0 1|, &lt;0 1 0 7|, &lt;0 0 1 -4|]
Map: [&lt;1 0 0 1|, &lt;0 1 0 7|, &lt;0 0 1 -4|]
Generators: 2, 3, 5
Generators: 2, 3, 5
Edos: 7, 19, 26, 27, 45, 46, 53, 65, 72, 80, 91, 99, 171, 270, 441, 612, 935, 1106, 1277, 1376, 1547, 1718, 1889, 2923, 3166, 3436, 3877, 3535, 4390, 5496, 5937, 6450, 9058
Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279
 
Scales: [[ragismic19]]


==11 limit children==
==11 limit children==
Line 94: Line 99:
<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;Ragisma family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 4375/4374&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;Ragisma family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Comma: 4375/4374&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
7-limit minimax&lt;br /&gt;
7-limit&lt;br /&gt;
[|1 0 0 0&amp;gt;, |-1/7 0 4/7 1/7&amp;gt;, &lt;br /&gt;
[|1 0 0 0&amp;gt;, |-1/7 0 4/7 1/7&amp;gt;, |0 0 1 0&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
|0 0 1 0&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 8/7, 5/4&lt;br /&gt;
Eigenmonzos: 2, 5, 7&lt;br /&gt;
&lt;br /&gt;
9-limit&lt;br /&gt;
[|1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, |1/5 7/5 1/5 -1/5&amp;gt;, &lt;br /&gt;
|1/5 7/5 -4/5 4/5&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 4/3, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
9-limit minimax&lt;br /&gt;
Lattice basis: 10/9 length=0.789 6/5 length=0.921&lt;br /&gt;
||1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, &lt;br /&gt;
Angle(10/9, 6/5) = 105.299&lt;br /&gt;
|1/5 7/5 1/5 -1/5&amp;gt;, |1/5 7/5 -4/5 4/5&amp;gt;]&lt;br /&gt;
Map to lattice: [&amp;lt;0 -1 -1 -3|, &amp;lt;0 -1 -2 1|]&lt;br /&gt;
Eigenmonzos: 2, 3, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 1|, &amp;lt;0 1 0 7|, &amp;lt;0 0 1 -4|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 1|, &amp;lt;0 1 0 7|, &amp;lt;0 0 1 -4|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
Edos: 7, 19, 26, 27, 45, 46, 53, 65, 72, 80, 91, 99, 171, 270, 441, 612, 935, 1106, 1277, 1376, 1547, 1718, 1889, 2923, 3166, 3436, 3877, 3535, 4390, 5496, 5937, 6450, 9058&lt;br /&gt;
Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 &lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/ragismic19"&gt;ragismic19&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-11 limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;11 limit children&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-11 limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;11 limit children&lt;/h2&gt;