Chords of magic: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 288251266 - Original comment: **
Wikispaces>x31eq
**Imported revision 518731298 - 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>2011-12-22 23:42:31 UTC</tt>.<br>
: This revision was by author [[User:x31eq|x31eq]] and made on <tt>2014-08-17 05:03:57 UTC</tt>.<br>
: The original revision id was <tt>288251266</tt>.<br>
: The original revision id was <tt>518731298</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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<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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
<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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.


Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic+, the nonce name Graham Breed's [[http://x31eq.com/temper/|Temperament Finder]] gives to it. Finally, anything requiring three independent commas among those discussed above is labeled magic.
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.


Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.


=Triads=
=Triads=  
|| Number || Chord || Transversal || Type ||
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2 || 1-5/4-14/9 || marvel ||
|| 1 || 0-1-2 || 1-5/4-14/9 || marvel ||
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|| 58 || 0-18-20 || 1-18/11-14/11 || otonal ||
|| 58 || 0-18-20 || 1-18/11-14/11 || otonal ||


=Tetrads=
=Tetrads=  
|| Number || Chord || Transversal || Type ||
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||
|| 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||
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|| 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||
|| 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||
|| 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic ||
|| 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic ||
|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic+ ||
|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic ||
|| 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||
|| 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||
|| 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||
|| 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||
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|| 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||
|| 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||
|| 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||
|| 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||
|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic+ ||
|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic ||
|| 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||
|| 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||
|| 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||
|| 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||
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|| 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||
|| 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||
|| 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||
|| 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||
|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic+ ||
|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic ||
|| 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||
|| 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||
|| 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||
|| 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||
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|| 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||
|| 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||
|| 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||
|| 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||
|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic+ ||
|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic ||
|| 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||
|| 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||
|| 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||
|| 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||
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|| 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||
|| 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||


=Pentads=
=Pentads=  
|| Number || Chord || Transversal || Type ||
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||
|| 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||
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|| 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||
|| 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||
|| 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod ||
|| 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod ||
|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic+ ||
|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic ||
|| 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||
|| 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||
|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic+ ||
|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic ||
|| 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic ||
|| 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic ||
|| 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel ||
|| 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel ||
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|| 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||
|| 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||
|| 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
|| 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic+ ||
|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic ||
|| 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
|| 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic+ ||
|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic ||
|| 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||
|| 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||
|| 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||
|| 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||
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|| 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||
|| 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||


=Hexads=
=Hexads=  
|| Number || Chord || Transversal || Type ||
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||
|| 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||
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|| 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||
|| 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||
|| 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
|| 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||
|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||</pre></div>
 
</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;Chords of magic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Magic"&gt;magic temperament&lt;/a&gt;. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.&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;Chords of magic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are listed the &lt;a class="wiki_link" href="/Dyadic%20chord"&gt;dyadic chords&lt;/a&gt; of 11-limit &lt;a class="wiki_link" href="/Magic"&gt;magic temperament&lt;/a&gt;. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic+, the nonce name Graham Breed's &lt;a class="wiki_link_ext" href="http://x31eq.com/temper/" rel="nofollow"&gt;Temperament Finder&lt;/a&gt; gives to it. Finally, anything requiring three independent commas among those discussed above is labeled magic.&lt;br /&gt;
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.&lt;br /&gt;
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Triads&lt;/h1&gt;
 


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
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&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tetrads&lt;/h1&gt;
 


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&lt;table class="wiki_table"&gt;
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         &lt;td&gt;1-5/4-16/11-9/5&lt;br /&gt;
         &lt;td&gt;1-5/4-16/11-9/5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1-6/5-16/11-7/4&lt;br /&gt;
         &lt;td&gt;1-6/5-16/11-7/4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1-5/4-9/5-12/11&lt;br /&gt;
         &lt;td&gt;1-5/4-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1-6/5-7/4-12/11&lt;br /&gt;
         &lt;td&gt;1-6/5-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Pentads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentads&lt;/h1&gt;
 


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         &lt;td&gt;1-5/4-3/2-9/5-12/11&lt;br /&gt;
         &lt;td&gt;1-5/4-3/2-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1-5/4-16/11-9/5-12/11&lt;br /&gt;
         &lt;td&gt;1-5/4-16/11-9/5-12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1-6/5-3/2-7/4-12/11&lt;br /&gt;
         &lt;td&gt;1-6/5-3/2-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;1-6/5-16/11-7/4-12/11&lt;br /&gt;
         &lt;td&gt;1-6/5-16/11-7/4-12/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermagic+&lt;br /&gt;
         &lt;td&gt;supermagic&lt;br /&gt;
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Revision as of 05:03, 17 August 2014

IMPORTED REVISION FROM WIKISPACES

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This revision was by author x31eq and made on 2014-08-17 05:03:57 UTC.
The original revision id was 518731298.
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Original Wikitext content:

Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.

Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.

=Triads= 
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2 || 1-5/4-14/9 || marvel ||
|| 2 || 0-2-4 || 1-14/9-6/5 || sensamagic ||
|| 3 || 0-1-5 || 1-5/4-3/2 || otonal ||
|| 4 || 0-4-5 || 1-6/5-3/2 || utonal ||
|| 5 || 0-2-7 || 1-14/9-7/6 || utonal ||
|| 6 || 0-5-7 || 1-3/2-7/6 || otonal ||
|| 7 || 0-1-8 || 1-5/4-16/11 || keenanismic ||
|| 8 || 0-4-8 || 1-6/5-16/11 || ptolemismic ||
|| 9 || 0-7-8 || 1-7/6-16/11 || keenanismic ||
|| 10 || 0-1-9 || 1-5/4-20/11 || utonal ||
|| 11 || 0-2-9 || 1-14/9-9/5 || sensamagic ||
|| 12 || 0-4-9 || 1-6/5-9/5 || otonal ||
|| 13 || 0-5-9 || 1-3/2-9/5 || utonal ||
|| 14 || 0-7-9 || 1-7/6-9/5 || sensamagic ||
|| 15 || 0-8-9 || 1-16/11-20/11 || otonal ||
|| 16 || 0-1-10 || 1-5/4-9/8 || otonal ||
|| 17 || 0-2-10 || 1-14/9-9/8 || pentacircle ||
|| 18 || 0-5-10 || 1-3/2-9/8 || ambitonal ||
|| 19 || 0-8-10 || 1-16/11-9/8 || pentacircle ||
|| 20 || 0-9-10 || 1-9/5-9/8 || utonal ||
|| 21 || 0-1-11 || 1-5/4-7/5 || marvel ||
|| 22 || 0-2-11 || 1-14/9-7/5 || utonal ||
|| 23 || 0-4-11 || 1-6/5-7/5 || otonal ||
|| 24 || 0-7-11 || 1-7/6-7/5 || utonal ||
|| 25 || 0-9-11 || 1-9/5-7/5 || otonal ||
|| 26 || 0-10-11 || 1-9/8-7/5 || marvel ||
|| 27 || 0-1-12 || 1-5/4-7/4 || otonal ||
|| 28 || 0-2-12 || 1-14/9-7/4 || utonal ||
|| 29 || 0-4-12 || 1-6/5-7/4 || keenanismic ||
|| 30 || 0-5-12 || 1-3/2-7/4 || otonal ||
|| 31 || 0-7-12 || 1-7/6-7/4 || utonal ||
|| 32 || 0-8-12 || 1-16/11-7/4 || keenanismic ||
|| 33 || 0-10-12 || 1-9/8-7/4 || otonal ||
|| 34 || 0-11-12 || 1-7/5-7/4 || utonal ||
|| 35 || 0-1-13 || 1-5/4-12/11 || keenanismic ||
|| 36 || 0-2-13 || 1-14/9-12/11 || swetismic ||
|| 37 || 0-4-13 || 1-6/5-12/11 || utonal ||
|| 38 || 0-5-13 || 1-3/2-12/11 || utonal ||
|| 39 || 0-8-13 || 1-16/11-12/11 || otonal ||
|| 40 || 0-9-13 || 1-20/11-12/11 || otonal ||
|| 41 || 0-11-13 || 1-7/5-12/11 || swetismic ||
|| 42 || 0-12-13 || 1-7/4-12/11 || keenanismic ||
|| 43 || 0-5-18 || 1-3/2-18/11 || utonal ||
|| 44 || 0-7-18 || 1-7/6-18/11 || swetismic ||
|| 45 || 0-8-18 || 1-16/11-18/11 || otonal ||
|| 46 || 0-9-18 || 1-9/5-18/11 || utonal ||
|| 47 || 0-10-18 || 1-9/8-18/11 || utonal ||
|| 48 || 0-11-18 || 1-7/5-18/11 || swetismic ||
|| 49 || 0-13-18 || 1-12/11-18/11 || otonal ||
|| 50 || 0-2-20 || 1-14/9-14/11 || utonal ||
|| 51 || 0-7-20 || 1-7/6-14/11 || utonal ||
|| 52 || 0-8-20 || 1-16/11-14/11 || otonal ||
|| 53 || 0-9-20 || 1-20/11-14/11 || otonal ||
|| 54 || 0-10-20 || 1-9/8-14/11 || pentacircle ||
|| 55 || 0-11-20 || 1-7/5-14/11 || utonal ||
|| 56 || 0-12-20 || 1-7/4-14/11 || utonal ||
|| 57 || 0-13-20 || 1-12/11-14/11 || otonal ||
|| 58 || 0-18-20 || 1-18/11-14/11 || otonal ||

=Tetrads= 
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9 || 1-5/4-14/9-9/5 || magic ||
|| 2 || 0-2-4-9 || 1-14/9-6/5-9/5 || sensamagic ||
|| 3 || 0-1-5-9 || 1-5/4-3/2-9/5 || ptolemismic ||
|| 4 || 0-4-5-9 || 1-6/5-3/2-9/5 || ambitonal ||
|| 5 || 0-2-7-9 || 1-14/9-7/6-9/5 || sensamagic ||
|| 6 || 0-5-7-9 || 1-3/2-7/6-9/5 || sensamagic ||
|| 7 || 0-1-8-9 || 1-5/4-16/11-9/5 || supermagic ||
|| 8 || 0-4-8-9 || 1-6/5-16/11-9/5 || ptolemismic ||
|| 9 || 0-7-8-9 || 1-7/6-16/11-9/5 || magic ||
|| 10 || 0-1-2-10 || 1-5/4-14/9-9/8 || apollo ||
|| 11 || 0-1-5-10 || 1-5/4-3/2-9/8 || otonal ||
|| 12 || 0-1-8-10 || 1-5/4-16/11-9/8 || sensamagic11 ||
|| 13 || 0-1-9-10 || 1-5/4-9/5-9/8 || ptolemismic ||
|| 14 || 0-2-9-10 || 1-14/9-9/5-9/8 || sensamagic11 ||
|| 15 || 0-5-9-10 || 1-3/2-9/5-9/8 || utonal ||
|| 16 || 0-8-9-10 || 1-16/11-9/5-9/8 || apollo ||
|| 17 || 0-1-2-11 || 1-5/4-14/9-7/5 || marvel ||
|| 18 || 0-2-4-11 || 1-14/9-6/5-7/5 || sensamagic ||
|| 19 || 0-2-7-11 || 1-14/9-7/6-7/5 || utonal ||
|| 20 || 0-1-9-11 || 1-5/4-9/5-7/5 || apollo ||
|| 21 || 0-2-9-11 || 1-14/9-9/5-7/5 || sensamagic ||
|| 22 || 0-4-9-11 || 1-6/5-9/5-7/5 || otonal ||
|| 23 || 0-7-9-11 || 1-7/6-9/5-7/5 || sensamagic ||
|| 24 || 0-1-10-11 || 1-5/4-9/8-7/5 || marvel ||
|| 25 || 0-2-10-11 || 1-14/9-9/8-7/5 || apollo ||
|| 26 || 0-9-10-11 || 1-9/5-9/8-7/5 || marvel ||
|| 27 || 0-1-2-12 || 1-5/4-14/9-7/4 || marvel ||
|| 28 || 0-2-4-12 || 1-14/9-6/5-7/4 || sensamagic11 ||
|| 29 || 0-1-5-12 || 1-5/4-3/2-7/4 || otonal ||
|| 30 || 0-4-5-12 || 1-6/5-3/2-7/4 || keenanismic ||
|| 31 || 0-2-7-12 || 1-14/9-7/6-7/4 || utonal ||
|| 32 || 0-5-7-12 || 1-3/2-7/6-7/4 || ambitonal ||
|| 33 || 0-1-8-12 || 1-5/4-16/11-7/4 || keenanismic ||
|| 34 || 0-4-8-12 || 1-6/5-16/11-7/4 || supermagic ||
|| 35 || 0-7-8-12 || 1-7/6-16/11-7/4 || keenanismic ||
|| 36 || 0-1-10-12 || 1-5/4-9/8-7/4 || otonal ||
|| 37 || 0-2-10-12 || 1-14/9-9/8-7/4 || pentacircle ||
|| 38 || 0-5-10-12 || 1-3/2-9/8-7/4 || otonal ||
|| 39 || 0-8-10-12 || 1-16/11-9/8-7/4 || sensamagic11 ||
|| 40 || 0-1-11-12 || 1-5/4-7/5-7/4 || marvel ||
|| 41 || 0-2-11-12 || 1-14/9-7/5-7/4 || utonal ||
|| 42 || 0-4-11-12 || 1-6/5-7/5-7/4 || keenanismic ||
|| 43 || 0-7-11-12 || 1-7/6-7/5-7/4 || utonal ||
|| 44 || 0-10-11-12 || 1-9/8-7/5-7/4 || marvel ||
|| 45 || 0-1-2-13 || 1-5/4-14/9-12/11 || unimarvel ||
|| 46 || 0-2-4-13 || 1-14/9-6/5-12/11 || octarod ||
|| 47 || 0-1-5-13 || 1-5/4-3/2-12/11 || keenanismic ||
|| 48 || 0-4-5-13 || 1-6/5-3/2-12/11 || utonal ||
|| 49 || 0-1-8-13 || 1-5/4-16/11-12/11 || keenanismic ||
|| 50 || 0-4-8-13 || 1-6/5-16/11-12/11 || ptolemismic ||
|| 51 || 0-1-9-13 || 1-5/4-9/5-12/11 || supermagic ||
|| 52 || 0-2-9-13 || 1-14/9-9/5-12/11 || octarod ||
|| 53 || 0-4-9-13 || 1-6/5-9/5-12/11 || ptolemismic ||
|| 54 || 0-5-9-13 || 1-3/2-9/5-12/11 || ptolemismic ||
|| 55 || 0-8-9-13 || 1-16/11-20/11-12/11 || otonal ||
|| 56 || 0-1-11-13 || 1-5/4-7/5-12/11 || unimarvel ||
|| 57 || 0-2-11-13 || 1-14/9-7/5-12/11 || swetismic ||
|| 58 || 0-4-11-13 || 1-6/5-7/5-12/11 || octarod ||
|| 59 || 0-9-11-13 || 1-9/5-7/5-12/11 || octarod ||
|| 60 || 0-1-12-13 || 1-5/4-7/4-12/11 || keenanismic ||
|| 61 || 0-2-12-13 || 1-14/9-7/4-12/11 || unimarvel ||
|| 62 || 0-4-12-13 || 1-6/5-7/4-12/11 || supermagic ||
|| 63 || 0-5-12-13 || 1-3/2-7/4-12/11 || keenanismic ||
|| 64 || 0-8-12-13 || 1-16/11-7/4-12/11 || keenanismic ||
|| 65 || 0-11-12-13 || 1-7/5-7/4-12/11 || unimarvel ||
|| 66 || 0-5-7-18 || 1-3/2-7/6-18/11 || swetismic ||
|| 67 || 0-7-8-18 || 1-7/6-16/11-18/11 || unimarvel ||
|| 68 || 0-5-9-18 || 1-3/2-9/5-18/11 || utonal ||
|| 69 || 0-7-9-18 || 1-7/6-9/5-18/11 || octarod ||
|| 70 || 0-8-9-18 || 1-16/11-20/11-18/11 || otonal ||
|| 71 || 0-5-10-18 || 1-3/2-9/8-18/11 || utonal ||
|| 72 || 0-8-10-18 || 1-16/11-9/8-18/11 || pentacircle ||
|| 73 || 0-9-10-18 || 1-9/5-9/8-18/11 || utonal ||
|| 74 || 0-7-11-18 || 1-7/6-7/5-18/11 || swetismic ||
|| 75 || 0-9-11-18 || 1-9/5-7/5-18/11 || octarod ||
|| 76 || 0-10-11-18 || 1-9/8-7/5-18/11 || unimarvel ||
|| 77 || 0-5-13-18 || 1-3/2-12/11-18/11 || ambitonal ||
|| 78 || 0-8-13-18 || 1-16/11-12/11-18/11 || otonal ||
|| 79 || 0-9-13-18 || 1-20/11-12/11-18/11 || otonal ||
|| 80 || 0-11-13-18 || 1-7/5-12/11-18/11 || swetismic ||
|| 81 || 0-2-7-20 || 1-14/9-7/6-14/11 || utonal ||
|| 82 || 0-7-8-20 || 1-7/6-16/11-14/11 || keenanismic ||
|| 83 || 0-2-9-20 || 1-14/9-9/5-14/11 || octarod ||
|| 84 || 0-7-9-20 || 1-7/6-9/5-14/11 || octarod ||
|| 85 || 0-8-9-20 || 1-16/11-20/11-14/11 || otonal ||
|| 86 || 0-2-10-20 || 1-14/9-9/8-14/11 || pentacircle ||
|| 87 || 0-8-10-20 || 1-16/11-9/8-14/11 || pentacircle ||
|| 88 || 0-9-10-20 || 1-9/5-9/8-14/11 || apollo ||
|| 89 || 0-2-11-20 || 1-14/9-7/5-14/11 || utonal ||
|| 90 || 0-7-11-20 || 1-7/6-7/5-14/11 || utonal ||
|| 91 || 0-9-11-20 || 1-9/5-7/5-14/11 || ptolemismic ||
|| 92 || 0-10-11-20 || 1-9/8-7/5-14/11 || apollo ||
|| 93 || 0-2-12-20 || 1-14/9-7/4-14/11 || utonal ||
|| 94 || 0-7-12-20 || 1-7/6-7/4-14/11 || utonal ||
|| 95 || 0-8-12-20 || 1-16/11-7/4-14/11 || keenanismic ||
|| 96 || 0-10-12-20 || 1-9/8-7/4-14/11 || pentacircle ||
|| 97 || 0-11-12-20 || 1-7/5-7/4-14/11 || utonal ||
|| 98 || 0-2-13-20 || 1-14/9-12/11-14/11 || swetismic ||
|| 99 || 0-8-13-20 || 1-16/11-12/11-14/11 || otonal ||
|| 100 || 0-9-13-20 || 1-20/11-12/11-14/11 || otonal ||
|| 101 || 0-11-13-20 || 1-7/5-12/11-14/11 || octarod ||
|| 102 || 0-12-13-20 || 1-7/4-12/11-14/11 || keenanismic ||
|| 103 || 0-7-18-20 || 1-7/6-18/11-14/11 || swetismic ||
|| 104 || 0-8-18-20 || 1-16/11-18/11-14/11 || otonal ||
|| 105 || 0-9-18-20 || 1-20/11-18/11-14/11 || otonal ||
|| 106 || 0-10-18-20 || 1-9/8-18/11-14/11 || pentacircle ||
|| 107 || 0-11-18-20 || 1-7/5-18/11-14/11 || octarod ||
|| 108 || 0-13-18-20 || 1-12/11-18/11-14/11 || otonal ||

=Pentads= 
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9-10 || 1-5/4-14/9-9/5-9/8 || magic ||
|| 2 || 0-1-5-9-10 || 1-5/4-3/2-9/5-9/8 || ptolemismic ||
|| 3 || 0-1-8-9-10 || 1-5/4-16/11-9/5-9/8 || magic ||
|| 4 || 0-1-2-9-11 || 1-5/4-14/9-9/5-7/5 || magic ||
|| 5 || 0-2-4-9-11 || 1-14/9-6/5-9/5-7/5 || sensamagic ||
|| 6 || 0-2-7-9-11 || 1-14/9-7/6-9/5-7/5 || sensamagic ||
|| 7 || 0-1-2-10-11 || 1-5/4-14/9-9/8-7/5 || apollo ||
|| 8 || 0-1-9-10-11 || 1-5/4-9/5-9/8-7/5 || apollo ||
|| 9 || 0-2-9-10-11 || 1-14/9-9/5-9/8-7/5 || magic ||
|| 10 || 0-1-2-10-12 || 1-5/4-14/9-9/8-7/4 || apollo ||
|| 11 || 0-1-5-10-12 || 1-5/4-3/2-9/8-7/4 || otonal ||
|| 12 || 0-1-8-10-12 || 1-5/4-16/11-9/8-7/4 || sensamagic11 ||
|| 13 || 0-1-2-11-12 || 1-5/4-14/9-7/5-7/4 || marvel ||
|| 14 || 0-2-4-11-12 || 1-14/9-6/5-7/5-7/4 || sensamagic11 ||
|| 15 || 0-2-7-11-12 || 1-14/9-7/6-7/5-7/4 || utonal ||
|| 16 || 0-1-10-11-12 || 1-5/4-9/8-7/5-7/4 || marvel ||
|| 17 || 0-2-10-11-12 || 1-14/9-9/8-7/5-7/4 || apollo ||
|| 18 || 0-1-2-9-13 || 1-5/4-14/9-9/5-12/11 || magic ||
|| 19 || 0-2-4-9-13 || 1-14/9-6/5-9/5-12/11 || octarod ||
|| 20 || 0-1-5-9-13 || 1-5/4-3/2-9/5-12/11 || supermagic ||
|| 21 || 0-4-5-9-13 || 1-6/5-3/2-9/5-12/11 || ptolemismic ||
|| 22 || 0-1-8-9-13 || 1-5/4-16/11-9/5-12/11 || supermagic ||
|| 23 || 0-4-8-9-13 || 1-6/5-16/11-9/5-12/11 || ptolemismic ||
|| 24 || 0-1-2-11-13 || 1-5/4-14/9-7/5-12/11 || unimarvel ||
|| 25 || 0-2-4-11-13 || 1-14/9-6/5-7/5-12/11 || octarod ||
|| 26 || 0-1-9-11-13 || 1-5/4-9/5-7/5-12/11 || magic ||
|| 27 || 0-2-9-11-13 || 1-14/9-9/5-7/5-12/11 || octarod ||
|| 28 || 0-4-9-11-13 || 1-6/5-9/5-7/5-12/11 || octarod ||
|| 29 || 0-1-2-12-13 || 1-5/4-14/9-7/4-12/11 || unimarvel ||
|| 30 || 0-2-4-12-13 || 1-14/9-6/5-7/4-12/11 || magic ||
|| 31 || 0-1-5-12-13 || 1-5/4-3/2-7/4-12/11 || keenanismic ||
|| 32 || 0-4-5-12-13 || 1-6/5-3/2-7/4-12/11 || supermagic ||
|| 33 || 0-1-8-12-13 || 1-5/4-16/11-7/4-12/11 || keenanismic ||
|| 34 || 0-4-8-12-13 || 1-6/5-16/11-7/4-12/11 || supermagic ||
|| 35 || 0-1-11-12-13 || 1-5/4-7/5-7/4-12/11 || unimarvel ||
|| 36 || 0-2-11-12-13 || 1-14/9-7/5-7/4-12/11 || unimarvel ||
|| 37 || 0-4-11-12-13 || 1-6/5-7/5-7/4-12/11 || magic ||
|| 38 || 0-5-7-9-18 || 1-3/2-7/6-9/5-18/11 || octarod ||
|| 39 || 0-7-8-9-18 || 1-7/6-16/11-9/5-18/11 || magic ||
|| 40 || 0-5-9-10-18 || 1-3/2-9/5-9/8-18/11 || utonal ||
|| 41 || 0-8-9-10-18 || 1-16/11-9/5-9/8-18/11 || apollo ||
|| 42 || 0-7-9-11-18 || 1-7/6-9/5-7/5-18/11 || octarod ||
|| 43 || 0-9-10-11-18 || 1-9/5-9/8-7/5-18/11 || magic ||
|| 44 || 0-5-9-13-18 || 1-3/2-9/5-12/11-18/11 || ptolemismic ||
|| 45 || 0-8-9-13-18 || 1-16/11-20/11-12/11-18/11 || otonal ||
|| 46 || 0-9-11-13-18 || 1-9/5-7/5-12/11-18/11 || octarod ||
|| 47 || 0-2-7-9-20 || 1-14/9-7/6-9/5-14/11 || octarod ||
|| 48 || 0-7-8-9-20 || 1-7/6-16/11-9/5-14/11 || magic ||
|| 49 || 0-2-9-10-20 || 1-14/9-9/5-9/8-14/11 || magic ||
|| 50 || 0-8-9-10-20 || 1-16/11-9/5-9/8-14/11 || apollo ||
|| 51 || 0-2-7-11-20 || 1-14/9-7/6-7/5-14/11 || utonal ||
|| 52 || 0-2-9-11-20 || 1-14/9-9/5-7/5-14/11 || octarod ||
|| 53 || 0-7-9-11-20 || 1-7/6-9/5-7/5-14/11 || octarod ||
|| 54 || 0-2-10-11-20 || 1-14/9-9/8-7/5-14/11 || apollo ||
|| 55 || 0-9-10-11-20 || 1-9/5-9/8-7/5-14/11 || apollo ||
|| 56 || 0-2-7-12-20 || 1-14/9-7/6-7/4-14/11 || utonal ||
|| 57 || 0-7-8-12-20 || 1-7/6-16/11-7/4-14/11 || keenanismic ||
|| 58 || 0-2-10-12-20 || 1-14/9-9/8-7/4-14/11 || pentacircle ||
|| 59 || 0-8-10-12-20 || 1-16/11-9/8-7/4-14/11 || sensamagic11 ||
|| 60 || 0-2-11-12-20 || 1-14/9-7/5-7/4-14/11 || utonal ||
|| 61 || 0-7-11-12-20 || 1-7/6-7/5-7/4-14/11 || utonal ||
|| 62 || 0-10-11-12-20 || 1-9/8-7/5-7/4-14/11 || apollo ||
|| 63 || 0-2-9-13-20 || 1-14/9-9/5-12/11-14/11 || octarod ||
|| 64 || 0-8-9-13-20 || 1-16/11-20/11-12/11-14/11 || otonal ||
|| 65 || 0-2-11-13-20 || 1-14/9-7/5-12/11-14/11 || octarod ||
|| 66 || 0-9-11-13-20 || 1-9/5-7/5-12/11-14/11 || octarod ||
|| 67 || 0-2-12-13-20 || 1-14/9-7/4-12/11-14/11 || unimarvel ||
|| 68 || 0-8-12-13-20 || 1-16/11-7/4-12/11-14/11 || keenanismic ||
|| 69 || 0-11-12-13-20 || 1-7/5-7/4-12/11-14/11 || magic ||
|| 70 || 0-7-8-18-20 || 1-7/6-16/11-18/11-14/11 || unimarvel ||
|| 71 || 0-7-9-18-20 || 1-7/6-9/5-18/11-14/11 || octarod ||
|| 72 || 0-8-9-18-20 || 1-16/11-20/11-18/11-14/11 || otonal ||
|| 73 || 0-8-10-18-20 || 1-16/11-9/8-18/11-14/11 || pentacircle ||
|| 74 || 0-9-10-18-20 || 1-9/5-9/8-18/11-14/11 || apollo ||
|| 75 || 0-7-11-18-20 || 1-7/6-7/5-18/11-14/11 || octarod ||
|| 76 || 0-9-11-18-20 || 1-9/5-7/5-18/11-14/11 || octarod ||
|| 77 || 0-10-11-18-20 || 1-9/8-7/5-18/11-14/11 || magic ||
|| 78 || 0-8-13-18-20 || 1-16/11-12/11-18/11-14/11 || otonal ||
|| 79 || 0-9-13-18-20 || 1-20/11-12/11-18/11-14/11 || otonal ||
|| 80 || 0-11-13-18-20 || 1-7/5-12/11-18/11-14/11 || octarod ||

=Hexads= 
|| Number || Chord || Transversal || Type ||
|| 1 || 0-1-2-9-10-11 || 1-5/4-14/9-9/5-9/8-7/5 || magic ||
|| 2 || 0-1-2-10-11-12 || 1-5/4-14/9-9/8-7/5-7/4 || apollo ||
|| 3 || 0-1-2-9-11-13 || 1-5/4-14/9-9/5-7/5-12/11 || magic ||
|| 4 || 0-2-4-9-11-13 || 1-14/9-6/5-9/5-7/5-12/11 || octarod ||
|| 5 || 0-1-2-11-12-13 || 1-5/4-14/9-7/5-7/4-12/11 || unimarvel ||
|| 6 || 0-2-4-11-12-13 || 1-14/9-6/5-7/5-7/4-12/11 || magic ||
|| 7 || 0-2-7-9-11-20 || 1-14/9-7/6-9/5-7/5-14/11 || octarod ||
|| 8 || 0-2-9-10-11-20 || 1-14/9-9/5-9/8-7/5-14/11 || magic ||
|| 9 || 0-2-7-11-12-20 || 1-14/9-7/6-7/5-7/4-14/11 || utonal ||
|| 10 || 0-2-10-11-12-20 || 1-14/9-9/8-7/5-7/4-14/11 || apollo ||
|| 11 || 0-2-9-11-13-20 || 1-14/9-9/5-7/5-12/11-14/11 || octarod ||
|| 12 || 0-2-11-12-13-20 || 1-14/9-7/5-7/4-12/11-14/11 || magic ||
|| 13 || 0-7-8-9-18-20 || 1-7/6-16/11-9/5-18/11-14/11 || magic ||
|| 14 || 0-8-9-10-18-20 || 1-16/11-9/5-9/8-18/11-14/11 || apollo ||
|| 15 || 0-7-9-11-18-20 || 1-7/6-9/5-7/5-18/11-14/11 || octarod ||
|| 16 || 0-9-10-11-18-20 || 1-9/5-9/8-7/5-18/11-14/11 || magic ||
|| 17 || 0-8-9-13-18-20 || 1-16/11-20/11-12/11-18/11-14/11 || otonal ||
|| 18 || 0-9-11-13-18-20 || 1-9/5-7/5-12/11-18/11-14/11 || octarod ||

Original HTML content:

<html><head><title>Chords of magic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Magic">magic temperament</a>. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.<br />
<br />
Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.<br />
<br />
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
 

<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-2<br />
</td>
        <td>1-5/4-14/9<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-2-4<br />
</td>
        <td>1-14/9-6/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-1-5<br />
</td>
        <td>1-5/4-3/2<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-4-5<br />
</td>
        <td>1-6/5-3/2<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-2-7<br />
</td>
        <td>1-14/9-7/6<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-5-7<br />
</td>
        <td>1-3/2-7/6<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-1-8<br />
</td>
        <td>1-5/4-16/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-4-8<br />
</td>
        <td>1-6/5-16/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-7-8<br />
</td>
        <td>1-7/6-16/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-1-9<br />
</td>
        <td>1-5/4-20/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-2-9<br />
</td>
        <td>1-14/9-9/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-4-9<br />
</td>
        <td>1-6/5-9/5<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-5-9<br />
</td>
        <td>1-3/2-9/5<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-7-9<br />
</td>
        <td>1-7/6-9/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-8-9<br />
</td>
        <td>1-16/11-20/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-1-10<br />
</td>
        <td>1-5/4-9/8<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-2-10<br />
</td>
        <td>1-14/9-9/8<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-5-10<br />
</td>
        <td>1-3/2-9/8<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-8-10<br />
</td>
        <td>1-16/11-9/8<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-9-10<br />
</td>
        <td>1-9/5-9/8<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-1-11<br />
</td>
        <td>1-5/4-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-2-11<br />
</td>
        <td>1-14/9-7/5<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-4-11<br />
</td>
        <td>1-6/5-7/5<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-7-11<br />
</td>
        <td>1-7/6-7/5<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-9-11<br />
</td>
        <td>1-9/5-7/5<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-10-11<br />
</td>
        <td>1-9/8-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-1-12<br />
</td>
        <td>1-5/4-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-2-12<br />
</td>
        <td>1-14/9-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-4-12<br />
</td>
        <td>1-6/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-5-12<br />
</td>
        <td>1-3/2-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-7-12<br />
</td>
        <td>1-7/6-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-8-12<br />
</td>
        <td>1-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-10-12<br />
</td>
        <td>1-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-11-12<br />
</td>
        <td>1-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-1-13<br />
</td>
        <td>1-5/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-2-13<br />
</td>
        <td>1-14/9-12/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-4-13<br />
</td>
        <td>1-6/5-12/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-5-13<br />
</td>
        <td>1-3/2-12/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-8-13<br />
</td>
        <td>1-16/11-12/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-9-13<br />
</td>
        <td>1-20/11-12/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-11-13<br />
</td>
        <td>1-7/5-12/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-12-13<br />
</td>
        <td>1-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-5-18<br />
</td>
        <td>1-3/2-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-7-18<br />
</td>
        <td>1-7/6-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-8-18<br />
</td>
        <td>1-16/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-9-18<br />
</td>
        <td>1-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-10-18<br />
</td>
        <td>1-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-11-18<br />
</td>
        <td>1-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-13-18<br />
</td>
        <td>1-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-2-20<br />
</td>
        <td>1-14/9-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-7-20<br />
</td>
        <td>1-7/6-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-8-20<br />
</td>
        <td>1-16/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-9-20<br />
</td>
        <td>1-20/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-10-20<br />
</td>
        <td>1-9/8-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-11-20<br />
</td>
        <td>1-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-12-20<br />
</td>
        <td>1-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-13-20<br />
</td>
        <td>1-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-18-20<br />
</td>
        <td>1-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>
 

<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-2-9<br />
</td>
        <td>1-5/4-14/9-9/5<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-2-4-9<br />
</td>
        <td>1-14/9-6/5-9/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-1-5-9<br />
</td>
        <td>1-5/4-3/2-9/5<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-4-5-9<br />
</td>
        <td>1-6/5-3/2-9/5<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-2-7-9<br />
</td>
        <td>1-14/9-7/6-9/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-5-7-9<br />
</td>
        <td>1-3/2-7/6-9/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-1-8-9<br />
</td>
        <td>1-5/4-16/11-9/5<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-4-8-9<br />
</td>
        <td>1-6/5-16/11-9/5<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-7-8-9<br />
</td>
        <td>1-7/6-16/11-9/5<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-1-2-10<br />
</td>
        <td>1-5/4-14/9-9/8<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-1-5-10<br />
</td>
        <td>1-5/4-3/2-9/8<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-1-8-10<br />
</td>
        <td>1-5/4-16/11-9/8<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-1-9-10<br />
</td>
        <td>1-5/4-9/5-9/8<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-2-9-10<br />
</td>
        <td>1-14/9-9/5-9/8<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-5-9-10<br />
</td>
        <td>1-3/2-9/5-9/8<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-8-9-10<br />
</td>
        <td>1-16/11-9/5-9/8<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-1-2-11<br />
</td>
        <td>1-5/4-14/9-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-2-4-11<br />
</td>
        <td>1-14/9-6/5-7/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-2-7-11<br />
</td>
        <td>1-14/9-7/6-7/5<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-1-9-11<br />
</td>
        <td>1-5/4-9/5-7/5<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-2-9-11<br />
</td>
        <td>1-14/9-9/5-7/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-4-9-11<br />
</td>
        <td>1-6/5-9/5-7/5<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-7-9-11<br />
</td>
        <td>1-7/6-9/5-7/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-1-10-11<br />
</td>
        <td>1-5/4-9/8-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-2-10-11<br />
</td>
        <td>1-14/9-9/8-7/5<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-9-10-11<br />
</td>
        <td>1-9/5-9/8-7/5<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-1-2-12<br />
</td>
        <td>1-5/4-14/9-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-2-4-12<br />
</td>
        <td>1-14/9-6/5-7/4<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-1-5-12<br />
</td>
        <td>1-5/4-3/2-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-4-5-12<br />
</td>
        <td>1-6/5-3/2-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-2-7-12<br />
</td>
        <td>1-14/9-7/6-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-5-7-12<br />
</td>
        <td>1-3/2-7/6-7/4<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-1-8-12<br />
</td>
        <td>1-5/4-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-4-8-12<br />
</td>
        <td>1-6/5-16/11-7/4<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-7-8-12<br />
</td>
        <td>1-7/6-16/11-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-1-10-12<br />
</td>
        <td>1-5/4-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-2-10-12<br />
</td>
        <td>1-14/9-9/8-7/4<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-5-10-12<br />
</td>
        <td>1-3/2-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-8-10-12<br />
</td>
        <td>1-16/11-9/8-7/4<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-1-11-12<br />
</td>
        <td>1-5/4-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-2-11-12<br />
</td>
        <td>1-14/9-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-4-11-12<br />
</td>
        <td>1-6/5-7/5-7/4<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-7-11-12<br />
</td>
        <td>1-7/6-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-10-11-12<br />
</td>
        <td>1-9/8-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-1-2-13<br />
</td>
        <td>1-5/4-14/9-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-2-4-13<br />
</td>
        <td>1-14/9-6/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-1-5-13<br />
</td>
        <td>1-5/4-3/2-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-4-5-13<br />
</td>
        <td>1-6/5-3/2-12/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-1-8-13<br />
</td>
        <td>1-5/4-16/11-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-4-8-13<br />
</td>
        <td>1-6/5-16/11-12/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-1-9-13<br />
</td>
        <td>1-5/4-9/5-12/11<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-2-9-13<br />
</td>
        <td>1-14/9-9/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-4-9-13<br />
</td>
        <td>1-6/5-9/5-12/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-5-9-13<br />
</td>
        <td>1-3/2-9/5-12/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-8-9-13<br />
</td>
        <td>1-16/11-20/11-12/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-1-11-13<br />
</td>
        <td>1-5/4-7/5-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-2-11-13<br />
</td>
        <td>1-14/9-7/5-12/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-4-11-13<br />
</td>
        <td>1-6/5-7/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>0-9-11-13<br />
</td>
        <td>1-9/5-7/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>0-1-12-13<br />
</td>
        <td>1-5/4-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>61<br />
</td>
        <td>0-2-12-13<br />
</td>
        <td>1-14/9-7/4-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>62<br />
</td>
        <td>0-4-12-13<br />
</td>
        <td>1-6/5-7/4-12/11<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>63<br />
</td>
        <td>0-5-12-13<br />
</td>
        <td>1-3/2-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>64<br />
</td>
        <td>0-8-12-13<br />
</td>
        <td>1-16/11-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>65<br />
</td>
        <td>0-11-12-13<br />
</td>
        <td>1-7/5-7/4-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>66<br />
</td>
        <td>0-5-7-18<br />
</td>
        <td>1-3/2-7/6-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>67<br />
</td>
        <td>0-7-8-18<br />
</td>
        <td>1-7/6-16/11-18/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>68<br />
</td>
        <td>0-5-9-18<br />
</td>
        <td>1-3/2-9/5-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>69<br />
</td>
        <td>0-7-9-18<br />
</td>
        <td>1-7/6-9/5-18/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>70<br />
</td>
        <td>0-8-9-18<br />
</td>
        <td>1-16/11-20/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>71<br />
</td>
        <td>0-5-10-18<br />
</td>
        <td>1-3/2-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>72<br />
</td>
        <td>0-8-10-18<br />
</td>
        <td>1-16/11-9/8-18/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>73<br />
</td>
        <td>0-9-10-18<br />
</td>
        <td>1-9/5-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>74<br />
</td>
        <td>0-7-11-18<br />
</td>
        <td>1-7/6-7/5-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>75<br />
</td>
        <td>0-9-11-18<br />
</td>
        <td>1-9/5-7/5-18/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>76<br />
</td>
        <td>0-10-11-18<br />
</td>
        <td>1-9/8-7/5-18/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>77<br />
</td>
        <td>0-5-13-18<br />
</td>
        <td>1-3/2-12/11-18/11<br />
</td>
        <td>ambitonal<br />
</td>
    </tr>
    <tr>
        <td>78<br />
</td>
        <td>0-8-13-18<br />
</td>
        <td>1-16/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>79<br />
</td>
        <td>0-9-13-18<br />
</td>
        <td>1-20/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>80<br />
</td>
        <td>0-11-13-18<br />
</td>
        <td>1-7/5-12/11-18/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>81<br />
</td>
        <td>0-2-7-20<br />
</td>
        <td>1-14/9-7/6-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>82<br />
</td>
        <td>0-7-8-20<br />
</td>
        <td>1-7/6-16/11-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>83<br />
</td>
        <td>0-2-9-20<br />
</td>
        <td>1-14/9-9/5-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>84<br />
</td>
        <td>0-7-9-20<br />
</td>
        <td>1-7/6-9/5-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>85<br />
</td>
        <td>0-8-9-20<br />
</td>
        <td>1-16/11-20/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>86<br />
</td>
        <td>0-2-10-20<br />
</td>
        <td>1-14/9-9/8-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>87<br />
</td>
        <td>0-8-10-20<br />
</td>
        <td>1-16/11-9/8-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>88<br />
</td>
        <td>0-9-10-20<br />
</td>
        <td>1-9/5-9/8-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>89<br />
</td>
        <td>0-2-11-20<br />
</td>
        <td>1-14/9-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>90<br />
</td>
        <td>0-7-11-20<br />
</td>
        <td>1-7/6-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>91<br />
</td>
        <td>0-9-11-20<br />
</td>
        <td>1-9/5-7/5-14/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>92<br />
</td>
        <td>0-10-11-20<br />
</td>
        <td>1-9/8-7/5-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>93<br />
</td>
        <td>0-2-12-20<br />
</td>
        <td>1-14/9-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>94<br />
</td>
        <td>0-7-12-20<br />
</td>
        <td>1-7/6-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>95<br />
</td>
        <td>0-8-12-20<br />
</td>
        <td>1-16/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>96<br />
</td>
        <td>0-10-12-20<br />
</td>
        <td>1-9/8-7/4-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>97<br />
</td>
        <td>0-11-12-20<br />
</td>
        <td>1-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>98<br />
</td>
        <td>0-2-13-20<br />
</td>
        <td>1-14/9-12/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>99<br />
</td>
        <td>0-8-13-20<br />
</td>
        <td>1-16/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>100<br />
</td>
        <td>0-9-13-20<br />
</td>
        <td>1-20/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>101<br />
</td>
        <td>0-11-13-20<br />
</td>
        <td>1-7/5-12/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>102<br />
</td>
        <td>0-12-13-20<br />
</td>
        <td>1-7/4-12/11-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>103<br />
</td>
        <td>0-7-18-20<br />
</td>
        <td>1-7/6-18/11-14/11<br />
</td>
        <td>swetismic<br />
</td>
    </tr>
    <tr>
        <td>104<br />
</td>
        <td>0-8-18-20<br />
</td>
        <td>1-16/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>105<br />
</td>
        <td>0-9-18-20<br />
</td>
        <td>1-20/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>106<br />
</td>
        <td>0-10-18-20<br />
</td>
        <td>1-9/8-18/11-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>107<br />
</td>
        <td>0-11-18-20<br />
</td>
        <td>1-7/5-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>108<br />
</td>
        <td>0-13-18-20<br />
</td>
        <td>1-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>
 

<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-2-9-10<br />
</td>
        <td>1-5/4-14/9-9/5-9/8<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-1-5-9-10<br />
</td>
        <td>1-5/4-3/2-9/5-9/8<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-1-8-9-10<br />
</td>
        <td>1-5/4-16/11-9/5-9/8<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-1-2-9-11<br />
</td>
        <td>1-5/4-14/9-9/5-7/5<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-2-4-9-11<br />
</td>
        <td>1-14/9-6/5-9/5-7/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-2-7-9-11<br />
</td>
        <td>1-14/9-7/6-9/5-7/5<br />
</td>
        <td>sensamagic<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-1-2-10-11<br />
</td>
        <td>1-5/4-14/9-9/8-7/5<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-1-9-10-11<br />
</td>
        <td>1-5/4-9/5-9/8-7/5<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-2-9-10-11<br />
</td>
        <td>1-14/9-9/5-9/8-7/5<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-1-2-10-12<br />
</td>
        <td>1-5/4-14/9-9/8-7/4<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-1-5-10-12<br />
</td>
        <td>1-5/4-3/2-9/8-7/4<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-1-8-10-12<br />
</td>
        <td>1-5/4-16/11-9/8-7/4<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-1-2-11-12<br />
</td>
        <td>1-5/4-14/9-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-2-4-11-12<br />
</td>
        <td>1-14/9-6/5-7/5-7/4<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-2-7-11-12<br />
</td>
        <td>1-14/9-7/6-7/5-7/4<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-1-10-11-12<br />
</td>
        <td>1-5/4-9/8-7/5-7/4<br />
</td>
        <td>marvel<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-2-10-11-12<br />
</td>
        <td>1-14/9-9/8-7/5-7/4<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-1-2-9-13<br />
</td>
        <td>1-5/4-14/9-9/5-12/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>0-2-4-9-13<br />
</td>
        <td>1-14/9-6/5-9/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>0-1-5-9-13<br />
</td>
        <td>1-5/4-3/2-9/5-12/11<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>0-4-5-9-13<br />
</td>
        <td>1-6/5-3/2-9/5-12/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>0-1-8-9-13<br />
</td>
        <td>1-5/4-16/11-9/5-12/11<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>0-4-8-9-13<br />
</td>
        <td>1-6/5-16/11-9/5-12/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>0-1-2-11-13<br />
</td>
        <td>1-5/4-14/9-7/5-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>0-2-4-11-13<br />
</td>
        <td>1-14/9-6/5-7/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>0-1-9-11-13<br />
</td>
        <td>1-5/4-9/5-7/5-12/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>0-2-9-11-13<br />
</td>
        <td>1-14/9-9/5-7/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>0-4-9-11-13<br />
</td>
        <td>1-6/5-9/5-7/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>0-1-2-12-13<br />
</td>
        <td>1-5/4-14/9-7/4-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>0-2-4-12-13<br />
</td>
        <td>1-14/9-6/5-7/4-12/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>0-1-5-12-13<br />
</td>
        <td>1-5/4-3/2-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>0-4-5-12-13<br />
</td>
        <td>1-6/5-3/2-7/4-12/11<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>0-1-8-12-13<br />
</td>
        <td>1-5/4-16/11-7/4-12/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>0-4-8-12-13<br />
</td>
        <td>1-6/5-16/11-7/4-12/11<br />
</td>
        <td>supermagic<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>0-1-11-12-13<br />
</td>
        <td>1-5/4-7/5-7/4-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>0-2-11-12-13<br />
</td>
        <td>1-14/9-7/5-7/4-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>0-4-11-12-13<br />
</td>
        <td>1-6/5-7/5-7/4-12/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>0-5-7-9-18<br />
</td>
        <td>1-3/2-7/6-9/5-18/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>0-7-8-9-18<br />
</td>
        <td>1-7/6-16/11-9/5-18/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>0-5-9-10-18<br />
</td>
        <td>1-3/2-9/5-9/8-18/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>0-8-9-10-18<br />
</td>
        <td>1-16/11-9/5-9/8-18/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>0-7-9-11-18<br />
</td>
        <td>1-7/6-9/5-7/5-18/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>0-9-10-11-18<br />
</td>
        <td>1-9/5-9/8-7/5-18/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>0-5-9-13-18<br />
</td>
        <td>1-3/2-9/5-12/11-18/11<br />
</td>
        <td>ptolemismic<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>0-8-9-13-18<br />
</td>
        <td>1-16/11-20/11-12/11-18/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>0-9-11-13-18<br />
</td>
        <td>1-9/5-7/5-12/11-18/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>0-2-7-9-20<br />
</td>
        <td>1-14/9-7/6-9/5-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>0-7-8-9-20<br />
</td>
        <td>1-7/6-16/11-9/5-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>0-2-9-10-20<br />
</td>
        <td>1-14/9-9/5-9/8-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>0-8-9-10-20<br />
</td>
        <td>1-16/11-9/5-9/8-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>0-2-7-11-20<br />
</td>
        <td>1-14/9-7/6-7/5-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>0-2-9-11-20<br />
</td>
        <td>1-14/9-9/5-7/5-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>0-7-9-11-20<br />
</td>
        <td>1-7/6-9/5-7/5-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>0-2-10-11-20<br />
</td>
        <td>1-14/9-9/8-7/5-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>0-9-10-11-20<br />
</td>
        <td>1-9/5-9/8-7/5-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>0-2-7-12-20<br />
</td>
        <td>1-14/9-7/6-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>0-7-8-12-20<br />
</td>
        <td>1-7/6-16/11-7/4-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>0-2-10-12-20<br />
</td>
        <td>1-14/9-9/8-7/4-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>0-8-10-12-20<br />
</td>
        <td>1-16/11-9/8-7/4-14/11<br />
</td>
        <td>sensamagic11<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>0-2-11-12-20<br />
</td>
        <td>1-14/9-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>61<br />
</td>
        <td>0-7-11-12-20<br />
</td>
        <td>1-7/6-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>62<br />
</td>
        <td>0-10-11-12-20<br />
</td>
        <td>1-9/8-7/5-7/4-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>63<br />
</td>
        <td>0-2-9-13-20<br />
</td>
        <td>1-14/9-9/5-12/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>64<br />
</td>
        <td>0-8-9-13-20<br />
</td>
        <td>1-16/11-20/11-12/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>65<br />
</td>
        <td>0-2-11-13-20<br />
</td>
        <td>1-14/9-7/5-12/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>66<br />
</td>
        <td>0-9-11-13-20<br />
</td>
        <td>1-9/5-7/5-12/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>67<br />
</td>
        <td>0-2-12-13-20<br />
</td>
        <td>1-14/9-7/4-12/11-14/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>68<br />
</td>
        <td>0-8-12-13-20<br />
</td>
        <td>1-16/11-7/4-12/11-14/11<br />
</td>
        <td>keenanismic<br />
</td>
    </tr>
    <tr>
        <td>69<br />
</td>
        <td>0-11-12-13-20<br />
</td>
        <td>1-7/5-7/4-12/11-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>70<br />
</td>
        <td>0-7-8-18-20<br />
</td>
        <td>1-7/6-16/11-18/11-14/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>71<br />
</td>
        <td>0-7-9-18-20<br />
</td>
        <td>1-7/6-9/5-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>72<br />
</td>
        <td>0-8-9-18-20<br />
</td>
        <td>1-16/11-20/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>73<br />
</td>
        <td>0-8-10-18-20<br />
</td>
        <td>1-16/11-9/8-18/11-14/11<br />
</td>
        <td>pentacircle<br />
</td>
    </tr>
    <tr>
        <td>74<br />
</td>
        <td>0-9-10-18-20<br />
</td>
        <td>1-9/5-9/8-18/11-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>75<br />
</td>
        <td>0-7-11-18-20<br />
</td>
        <td>1-7/6-7/5-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>76<br />
</td>
        <td>0-9-11-18-20<br />
</td>
        <td>1-9/5-7/5-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>77<br />
</td>
        <td>0-10-11-18-20<br />
</td>
        <td>1-9/8-7/5-18/11-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>78<br />
</td>
        <td>0-8-13-18-20<br />
</td>
        <td>1-16/11-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>79<br />
</td>
        <td>0-9-13-18-20<br />
</td>
        <td>1-20/11-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>80<br />
</td>
        <td>0-11-13-18-20<br />
</td>
        <td>1-7/5-12/11-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>
 

<table class="wiki_table">
    <tr>
        <td>Number<br />
</td>
        <td>Chord<br />
</td>
        <td>Transversal<br />
</td>
        <td>Type<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>0-1-2-9-10-11<br />
</td>
        <td>1-5/4-14/9-9/5-9/8-7/5<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>0-1-2-10-11-12<br />
</td>
        <td>1-5/4-14/9-9/8-7/5-7/4<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>0-1-2-9-11-13<br />
</td>
        <td>1-5/4-14/9-9/5-7/5-12/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>0-2-4-9-11-13<br />
</td>
        <td>1-14/9-6/5-9/5-7/5-12/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>0-1-2-11-12-13<br />
</td>
        <td>1-5/4-14/9-7/5-7/4-12/11<br />
</td>
        <td>unimarvel<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>0-2-4-11-12-13<br />
</td>
        <td>1-14/9-6/5-7/5-7/4-12/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>0-2-7-9-11-20<br />
</td>
        <td>1-14/9-7/6-9/5-7/5-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>0-2-9-10-11-20<br />
</td>
        <td>1-14/9-9/5-9/8-7/5-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>0-2-7-11-12-20<br />
</td>
        <td>1-14/9-7/6-7/5-7/4-14/11<br />
</td>
        <td>utonal<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>0-2-10-11-12-20<br />
</td>
        <td>1-14/9-9/8-7/5-7/4-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>0-2-9-11-13-20<br />
</td>
        <td>1-14/9-9/5-7/5-12/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>0-2-11-12-13-20<br />
</td>
        <td>1-14/9-7/5-7/4-12/11-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>0-7-8-9-18-20<br />
</td>
        <td>1-7/6-16/11-9/5-18/11-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>0-8-9-10-18-20<br />
</td>
        <td>1-16/11-9/5-9/8-18/11-14/11<br />
</td>
        <td>apollo<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>0-7-9-11-18-20<br />
</td>
        <td>1-7/6-9/5-7/5-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>0-9-10-11-18-20<br />
</td>
        <td>1-9/5-9/8-7/5-18/11-14/11<br />
</td>
        <td>magic<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>0-8-9-13-18-20<br />
</td>
        <td>1-16/11-20/11-12/11-18/11-14/11<br />
</td>
        <td>otonal<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>0-9-11-13-18-20<br />
</td>
        <td>1-9/5-7/5-12/11-18/11-14/11<br />
</td>
        <td>octarod<br />
</td>
    </tr>
</table>

</body></html>
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