Horwell family: Difference between revisions

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**Imported revision 172565369 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 172576039 - 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>2010-10-21 15:59:49 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-21 16:38:14 UTC</tt>.<br>
: The original revision id was <tt>172565369</tt>.<br>
: The original revision id was <tt>172576039</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 18: Line 18:
[|1 0 0 0&gt;, |16/13 12/13 -5/13 -1/13&gt;,  
[|1 0 0 0&gt;, |16/13 12/13 -5/13 -1/13&gt;,  
|32/13 -2/13 3/13 -2/13&gt;, |32/13 -2/13 -10/13 11/13&gt;]
|32/13 -2/13 3/13 -2/13&gt;, |32/13 -2/13 -10/13 11/13&gt;]
Eigenmonzos: 2, 9/7, 7/5</pre></div>
Eigenmonzos: 2, 9/7, 7/5
 
Lattice basis: 5/4 length=0.6213 16/15 length=1.3863
Angle(5/4, 16/15) = 64.6379
Map to lattice: [&lt;0 -1 1 -4|, &lt;0 -1 0 -1|]
 
Map: [&lt;1 0 0 16|, &lt;0 1 0 -1|, &lt;0 0 1 -5|]
Generators: 2, 3, 5
Edos: 9, 22, 25, 28, 31, 34, 40, 53, 56, 65, 75, 84, 87, 118, 140, 171, 824, 995</pre></div>
<h4>Original HTML content:</h4>
<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;Horwell family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The horwell family of rank three temperaments tempers out the horwell comma, 65625/65536.&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;Horwell family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The horwell family of rank three temperaments tempers out the horwell comma, 65625/65536.&lt;br /&gt;
Line 32: Line 40:
[|1 0 0 0&amp;gt;, |16/13 12/13 -5/13 -1/13&amp;gt;, &lt;br /&gt;
[|1 0 0 0&amp;gt;, |16/13 12/13 -5/13 -1/13&amp;gt;, &lt;br /&gt;
|32/13 -2/13 3/13 -2/13&amp;gt;, |32/13 -2/13 -10/13 11/13&amp;gt;]&lt;br /&gt;
|32/13 -2/13 3/13 -2/13&amp;gt;, |32/13 -2/13 -10/13 11/13&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 9/7, 7/5&lt;/body&gt;&lt;/html&gt;</pre></div>
Eigenmonzos: 2, 9/7, 7/5&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 5/4 length=0.6213 16/15 length=1.3863&lt;br /&gt;
Angle(5/4, 16/15) = 64.6379&lt;br /&gt;
Map to lattice: [&amp;lt;0 -1 1 -4|, &amp;lt;0 -1 0 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 16|, &amp;lt;0 1 0 -1|, &amp;lt;0 0 1 -5|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
Edos: 9, 22, 25, 28, 31, 34, 40, 53, 56, 65, 75, 84, 87, 118, 140, 171, 824, 995&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 16:38, 21 October 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2010-10-21 16:38:14 UTC.
The original revision id was 172576039.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The horwell family of rank three temperaments tempers out the horwell comma, 65625/65536.

Comma: 65625/65536

7-limit minimax
[|1 0 0 0>, |16/7 6/7 -5/7 -1/7>, 
|16/7 -1/7 2/7 -1/7>, |16/7 -1/7 -5/7 6/7>]
Eigenmonzos: 2, 7/6, 6/5

9-limit minimax
[|1 0 0 0>, |16/13 12/13 -5/13 -1/13>, 
|32/13 -2/13 3/13 -2/13>, |32/13 -2/13 -10/13 11/13>]
Eigenmonzos: 2, 9/7, 7/5

Lattice basis: 5/4 length=0.6213 16/15 length=1.3863
Angle(5/4, 16/15) = 64.6379
Map to lattice: [<0 -1 1 -4|, <0 -1 0 -1|]

Map: [<1 0 0 16|, <0 1 0 -1|, <0 0 1 -5|]
Generators: 2, 3, 5
Edos: 9, 22, 25, 28, 31, 34, 40, 53, 56, 65, 75, 84, 87, 118, 140, 171, 824, 995

Original HTML content:

<html><head><title>Horwell family</title></head><body>The horwell family of rank three temperaments tempers out the horwell comma, 65625/65536.<br />
<br />
Comma: 65625/65536<br />
<br />
7-limit minimax<br />
[|1 0 0 0&gt;, |16/7 6/7 -5/7 -1/7&gt;, <br />
|16/7 -1/7 2/7 -1/7&gt;, |16/7 -1/7 -5/7 6/7&gt;]<br />
Eigenmonzos: 2, 7/6, 6/5<br />
<br />
9-limit minimax<br />
[|1 0 0 0&gt;, |16/13 12/13 -5/13 -1/13&gt;, <br />
|32/13 -2/13 3/13 -2/13&gt;, |32/13 -2/13 -10/13 11/13&gt;]<br />
Eigenmonzos: 2, 9/7, 7/5<br />
<br />
Lattice basis: 5/4 length=0.6213 16/15 length=1.3863<br />
Angle(5/4, 16/15) = 64.6379<br />
Map to lattice: [&lt;0 -1 1 -4|, &lt;0 -1 0 -1|]<br />
<br />
Map: [&lt;1 0 0 16|, &lt;0 1 0 -1|, &lt;0 0 1 -5|]<br />
Generators: 2, 3, 5<br />
Edos: 9, 22, 25, 28, 31, 34, 40, 53, 56, 65, 75, 84, 87, 118, 140, 171, 824, 995</body></html>