Epimorphic Euler genera: Difference between revisions

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**Imported revision 477283088 - Original comment: **
 
Wikispaces>genewardsmith
**Imported revision 477291976 - Original comment: **
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<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>2013-12-13 15:50:16 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12-13 16:35:32 UTC</tt>.<br>
: The original revision id was <tt>477283088</tt>.<br>
: The original revision id was <tt>477291976</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>
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==Rank three==
==Rank three==
Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)
Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)
Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)</pre></div>
Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)
 
=Fifteen notes=
Genus(3^4*11^2), Genus(5^4*11^2)
Genus(5^2*7^4), Genus(5^2*11^4), Genus(5^2*13^4)</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;Epimorphic Euler Genera&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Periodic%20scale#Epimorphic"&gt;epimorphic&lt;/a&gt; &lt;a class="wiki_link" href="/Euler%20genera"&gt;Euler genera&lt;/a&gt; for various numbers of notes.&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;Epimorphic Euler Genera&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Periodic%20scale#Epimorphic"&gt;epimorphic&lt;/a&gt; &lt;a class="wiki_link" href="/Euler%20genera"&gt;Euler genera&lt;/a&gt; for various numbers of notes.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Twelve notes-Rank three"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Rank three&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Twelve notes-Rank three"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Rank three&lt;/h2&gt;
Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)&lt;br /&gt;
Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)&lt;br /&gt;
Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)&lt;/body&gt;&lt;/html&gt;</pre></div>
Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Fifteen notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Fifteen notes&lt;/h1&gt;
Genus(3^4*11^2), Genus(5^4*11^2)&lt;br /&gt;
Genus(5^2*7^4), Genus(5^2*11^4), Genus(5^2*13^4)&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 16:35, 13 December 2013

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 2013-12-13 16:35:32 UTC.
The original revision id was 477291976.
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:

Below are listed the [[Periodic scale#Epimorphic|epimorphic]] [[Euler genera]] for various numbers of notes.

=Twelve notes=
==Rank one==
Genus(3^11) (Pythagorean)

==Rank two==
Genus(3^5*11), Genus(3*7^5)
Genus(3^3*5^2) (Duodene) 
Genus(3^2*13^3) (12f), Genus(3^3*13^2) (patent)

==Rank three==
Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)
Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)

=Fifteen notes=
Genus(3^4*11^2), Genus(5^4*11^2)
Genus(5^2*7^4), Genus(5^2*11^4), Genus(5^2*13^4)

Original HTML content:

<html><head><title>Epimorphic Euler Genera</title></head><body>Below are listed the <a class="wiki_link" href="/Periodic%20scale#Epimorphic">epimorphic</a> <a class="wiki_link" href="/Euler%20genera">Euler genera</a> for various numbers of notes.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Twelve notes"></a><!-- ws:end:WikiTextHeadingRule:0 -->Twelve notes</h1>
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Twelve notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:2 -->Rank one</h2>
Genus(3^11) (Pythagorean)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Twelve notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:4 -->Rank two</h2>
Genus(3^5*11), Genus(3*7^5)<br />
Genus(3^3*5^2) (Duodene) <br />
Genus(3^2*13^3) (12f), Genus(3^3*13^2) (patent)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Twelve notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:6 -->Rank three</h2>
Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)<br />
Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Fifteen notes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Fifteen notes</h1>
Genus(3^4*11^2), Genus(5^4*11^2)<br />
Genus(5^2*7^4), Genus(5^2*11^4), Genus(5^2*13^4)</body></html>