Epimorphic Euler genera: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 477346916 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 477428412 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12-14 11:08:30 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>477428412</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 two== | ==Rank two== | ||
Genus(5^7*7)</pre></div> | Genus(5^7*7) | ||
=Eighteen notes= | |||
==Rank two== | |||
Genus(5^2*13^5) | |||
==Rank three== | |||
Genus(5^2*7*13^2), Genus(5^2*11^2*13)</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"><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 /> | <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"><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 /> | ||
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<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Sixteen notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:34 -->Rank two</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Sixteen notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:34 -->Rank two</h2> | ||
Genus(5^7*7)</body></html></pre></div> | Genus(5^7*7)<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Eighteen notes"></a><!-- ws:end:WikiTextHeadingRule:36 -->Eighteen notes</h1> | |||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Eighteen notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:38 -->Rank two</h2> | |||
Genus(5^2*13^5)<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Eighteen notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:40 -->Rank three</h2> | |||
Genus(5^2*7*13^2), Genus(5^2*11^2*13)</body></html></pre></div> | |||
Revision as of 11:08, 14 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 2013-12-14 11:08:30 UTC.
- The original revision id was 477428412.
- 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. =Eight notes= ==Rank two== Genus(3^3*11), Genus(13^3*5) ==Rank three== Genus(3*11*13), Genus(5*11*13), Genus(3*7*11) (patent) =Nine notes= ==Rank one== Genus(11^9) ==Rank two== Genus(3^2*5^2), Genus(3^2*13^2) Genus(5^2*7^2), Genus(5^2*11^2), Genus(7^2*13^2), Genus(11^2*13^2) =Ten notes= ==Rank one== Genus(5^9), Genus(13^9) ==Rank two== Genus(3^4*5), Genus(3^4*11), Genus(3^4*13) Genus(5^4*7), Genus(5^4*11) Genus(7^4*5), Genus(7^4*11), Genus(7^4*13) Genus(13^4*11) =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) =Fourteen notes= Genus(3^6*7), Genus(13^6*5) (weakly; 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) =Sixteen notes= ==Rank one== Genus(5^15), Genus(7^15) ==Rank two== Genus(5^7*7) =Eighteen notes= ==Rank two== Genus(5^2*13^5) ==Rank three== Genus(5^2*7*13^2), Genus(5^2*11^2*13)
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:<h1> --><h1 id="toc0"><a name="Eight notes"></a><!-- ws:end:WikiTextHeadingRule:0 -->Eight notes</h1> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Eight notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:2 -->Rank two</h2> Genus(3^3*11), Genus(13^3*5)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Eight notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:4 -->Rank three</h2> Genus(3*11*13), Genus(5*11*13), Genus(3*7*11) (patent)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Nine notes"></a><!-- ws:end:WikiTextHeadingRule:6 -->Nine notes</h1> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Nine notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:8 -->Rank one</h2> Genus(11^9)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Nine notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:10 -->Rank two</h2> Genus(3^2*5^2), Genus(3^2*13^2)<br /> Genus(5^2*7^2), Genus(5^2*11^2),<br /> Genus(7^2*13^2), Genus(11^2*13^2)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Ten notes"></a><!-- ws:end:WikiTextHeadingRule:12 -->Ten notes</h1> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Ten notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:14 -->Rank one</h2> Genus(5^9), Genus(13^9)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Ten notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:16 -->Rank two</h2> Genus(3^4*5), Genus(3^4*11), Genus(3^4*13)<br /> Genus(5^4*7), Genus(5^4*11)<br /> Genus(7^4*5), Genus(7^4*11), Genus(7^4*13)<br /> Genus(13^4*11)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="Twelve notes"></a><!-- ws:end:WikiTextHeadingRule:18 -->Twelve notes</h1> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="Twelve notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:20 -->Rank one</h2> Genus(3^11) (Pythagorean)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="Twelve notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:22 -->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:24:<h2> --><h2 id="toc12"><a name="Twelve notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:24 -->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:26:<h1> --><h1 id="toc13"><a name="Fourteen notes"></a><!-- ws:end:WikiTextHeadingRule:26 -->Fourteen notes</h1> Genus(3^6*7), Genus(13^6*5) (weakly; patent)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h1> --><h1 id="toc14"><a name="Fifteen notes"></a><!-- ws:end:WikiTextHeadingRule:28 -->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)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="Sixteen notes"></a><!-- ws:end:WikiTextHeadingRule:30 -->Sixteen notes</h1> <!-- ws:start:WikiTextHeadingRule:32:<h2> --><h2 id="toc16"><a name="Sixteen notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:32 -->Rank one</h2> Genus(5^15), Genus(7^15)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h2> --><h2 id="toc17"><a name="Sixteen notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:34 -->Rank two</h2> Genus(5^7*7)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h1> --><h1 id="toc18"><a name="Eighteen notes"></a><!-- ws:end:WikiTextHeadingRule:36 -->Eighteen notes</h1> <!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><a name="Eighteen notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:38 -->Rank two</h2> Genus(5^2*13^5)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h2> --><h2 id="toc20"><a name="Eighteen notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:40 -->Rank three</h2> Genus(5^2*7*13^2), Genus(5^2*11^2*13)</body></html>