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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | __FORCETOC__ |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | =Sensamagic= |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-02-03 00:46:53 UTC</tt>.<br>
| | [[Comma|Comma]]: 245/243 |
| : The original revision id was <tt>403740272</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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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">[[toc]]
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| =Sensamagic=
| | [[7-limit|7-limit]] [[minimax|minimax]] |
| [[Comma]]: 245/243 | |
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| [[7-limit]] [[minimax]]
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| [|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>] | | [|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>] |
| [[Eigenmonzo]]s: 2, 8/7, 5/4
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| [[9-limit]] minimax | | [[Eigenmonzo|Eigenmonzo]]s: 2, 8/7, 5/4 |
| | |
| | [[9-limit|9-limit]] minimax |
| | |
| [|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>] | | [|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>] |
| | |
| Eigenmonzos: 2, 4/3, 7/5 | | Eigenmonzos: 2, 4/3, 7/5 |
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| Lattice basis: 3/2 0.9644 9/7 1.0807 | | Lattice basis: 3/2 0.9644 9/7 1.0807 |
| | |
| Angle(3/2, 9/7) = 86.5288 | | Angle(3/2, 9/7) = 86.5288 |
| | |
| Map to lattice: [<0 1 1 2|, <0 0 2 -1|] | | Map to lattice: [<0 1 1 2|, <0 0 2 -1|] |
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| Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|] | | Map: [<1 0 0 0|, <0 1 1 2|, <0 0 2 -1|] |
| | |
| Generators: 2, 3, 9/7 | | Generators: 2, 3, 9/7 |
| | |
| Edos: [[17edo|,17]] [[19edo|19]], [[22edo|22]], [[24edo|24]], [[27edo|27]], [[41edo|41]], [[46edo|46]], [[60edo|60]], [[68edo|68]], [[87edo|87]], [[109edo|109]], [[128edo|128]], [[169edo|169]], [[177edo|177]], [[237edo|237]] | | Edos: [[17edo|,17]] [[19edo|19]], [[22edo|22]], [[24edo|24]], [[27edo|27]], [[41edo|41]], [[46edo|46]], [[60edo|60]], [[68edo|68]], [[87edo|87]], [[109edo|109]], [[128edo|128]], [[169edo|169]], [[177edo|177]], [[237edo|237]] |
| [[Badness]]: 0.000129
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| [[Projection pair]]: 5 243/49 to 2.3.7 | | [[Badness|Badness]]: 0.000129 |
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| | [[Projection_pair|Projection pair]]: 5 243/49 to 2.3.7 |
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| ===[[Minkowski blocks]]=== | | ===[[Minkowski_blocks|Minkowski blocks]]=== |
| {2, 3, 7} subgroup | | {2, 3, 7} subgroup |
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| 12: 729/686, 64/63 | | 12: 729/686, 64/63 |
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| 17: 64/63, 19683/19208 | | 17: 64/63, 19683/19208 |
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| 19: 49/48, 177147/175616 | | 19: 49/48, 177147/175616 |
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| 22: 64/63, 537824/531441 | | 22: 64/63, 537824/531441 |
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| 24: 64/63, 15059072/14348907 | | 24: 64/63, 15059072/14348907 |
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| Commas: 245/243, 385/384 | | Commas: 245/243, 385/384 |
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| [[11-limit]] minimax | | [[11-limit|11-limit]] minimax |
| | |
| [|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>, | | [|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>, |
| |35/13 10/13 7/13 -7/13 -5/13>, | | |35/13 10/13 7/13 -7/13 -5/13>, |
| |35/13 10/13 -6/13 6/13 -5/13>, | | |35/13 10/13 -6/13 6/13 -5/13>, |
| |42/13 -14/13 -2/13 2/13 7/13>] | | |42/13 -14/13 -2/13 2/13 7/13>] |
| | |
| Eigenmonzos: 2, 11/9, 7/5 | | Eigenmonzos: 2, 11/9, 7/5 |
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| Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|] | | Map: [<1 0 0 0 7|, <0 1 1 2 -2|, <0 0 2 -1 -1|] |
| | |
| Generators: 2, 3, 9/7 | | Generators: 2, 3, 9/7 |
| | |
| EDOs: [[5edo|5]], 17, 19, 22, 41, 68, 87, [[196edo|196]], [[283edo|283]], 607bd, 694bd | | EDOs: [[5edo|5]], 17, 19, 22, 41, 68, 87, [[196edo|196]], [[283edo|283]], 607bd, 694bd |
| | |
| Badness: 0.000722 | | Badness: 0.000722 |
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| Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|] | | Map: [<1 0 0 0 7 12|, <0 1 1 2 -2 -5|, <0 0 2 -1 -1 -1|] |
| | |
| Generators: 2, 3, 9/7 | | Generators: 2, 3, 9/7 |
| | |
| EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd | | EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd |
| | |
| Badness: 0.00120 | | Badness: 0.00120 |
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| Map: [<1 0 0 0 -3|, <0 1 1 2 5|, <0 0 2 -1 -4|] | | Map: [<1 0 0 0 -3|, <0 1 1 2 5|, <0 0 2 -1 -4|] |
| | |
| EDOs: 41, 87, 302d, 389d, 476bd | | EDOs: 41, 87, 302d, 389d, 476bd |
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| Badness: 0.000796 | | Badness: 0.000796 |
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| Map: [<1 0 0 0 -3 2|, <0 1 1 2 5 2|, <0 0 2 -1 -4 -4|] | | Map: [<1 0 0 0 -3 2|, <0 1 1 2 5 2|, <0 0 2 -1 -4 -4|] |
| | |
| EDOs: 41, 46, 87, 522bd | | EDOs: 41, 46, 87, 522bd |
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| Badness: 0.000928 | | Badness: 0.000928 |
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| Map: [<1 0 0 0 2|, <0 1 1 2 0|, <0 0 2 -1 4|] | | Map: [<1 0 0 0 2|, <0 1 1 2 0|, <0 0 2 -1 4|] |
| | |
| EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e | | EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e |
| | |
| Badness: 0.000581 | | Badness: 0.000581 |
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| Map: [<1 0 0 0 -4|, <0 1 1 2 4|, <0 0 2 -1 3|] | | Map: [<1 0 0 0 -4|, <0 1 1 2 4|, <0 0 2 -1 3|] |
| | |
| EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc | | EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc |
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| Badness: 0.000877 | | Badness: 0.000877 |
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| Map: [<1 0 0 0 -4 1|, <0 1 1 2 4 1|, <0 0 2 -1 3 3|] | | Map: [<1 0 0 0 -4 1|, <0 1 1 2 4 1|, <0 0 2 -1 3 3|] |
| | |
| EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf | | EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf |
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| Badness: 0.001125 | | Badness: 0.001125 |
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| Map: [<1 6 8 11 0 10|, <0 -7 -9 -13 0 -10|, <0 0 0 0 1 0|] | | Map: [<1 6 8 11 0 10|, <0 -7 -9 -13 0 -10|, <0 0 0 0 1 0|] |
| | |
| EDOs: 19, 27, 46, 111df, 157df | | EDOs: 19, 27, 46, 111df, 157df |
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| Badness: 0.000939 | | Badness: 0.000939 |
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| Map: [<2 0 0 0 3|, <0 1 1 2 1|, <0 0 2 -1 1|] | | Map: [<2 0 0 0 3|, <0 1 1 2 1|, <0 0 2 -1 1|] |
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| EDOs: 22, 46, 68, 82e, 106de, 114, 128e | | EDOs: 22, 46, 68, 82e, 106de, 114, 128e |
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| Badness: 0.001089 | | Badness: 0.001089 |
| </pre></div>
| | [[Category:family]] |
| <h4>Original HTML content:</h4>
| | [[Category:overview]] |
| <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>Sensamagic family</title></head><body><!-- ws:start:WikiTextTocRule:22:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 1em;"><a href="#Sensamagic">Sensamagic</a></div>
| | [[Category:planar]] |
| <!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 3em;"><a href="#Sensamagic--Minkowski blocks">Minkowski blocks</a></div>
| | [[Category:sensamagic]] |
| <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 2em;"><a href="#Sensamagic-Undecimal sensamagic">Undecimal sensamagic</a></div>
| | [[Category:theory]] |
| <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Sensamagic-13-limit">13-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#Sensawer">Sensawer</a></div>
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| <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 2em;"><a href="#Sensawer-13-limit">13-limit</a></div>
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| <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 1em;"><a href="#Octarod">Octarod</a></div>
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| <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 1em;"><a href="#Shrusus">Shrusus</a></div>
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| <!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#Shrusus-Shrusic">Shrusic</a></div>
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| <!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 1em;"><a href="#Sensigh">Sensigh</a></div>
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| <!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 1em;"><a href="#Bisector">Bisector</a></div>
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| <!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --></div>
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| <!-- ws:end:WikiTextTocRule:34 --><br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensamagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensamagic</h1>
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| <a class="wiki_link" href="/Comma">Comma</a>: 245/243<br />
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| <br />
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| <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/minimax">minimax</a><br />
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| [|1 0 0 0&gt;, |0 0 1/5 2/5&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]<br />
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| <a class="wiki_link" href="/Eigenmonzo">Eigenmonzo</a>s: 2, 8/7, 5/4<br />
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| <br />
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| <a class="wiki_link" href="/9-limit">9-limit</a> minimax<br />
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| [|1 0 0 0&gt;, |0 1 0 0&gt;, |0 5/3 2/3 -2/3&gt;, |0 5/3 -1/3 1/3&gt;]<br />
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| Eigenmonzos: 2, 4/3, 7/5 <br />
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| <br />
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| Lattice basis: 3/2 0.9644 9/7 1.0807<br />
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| Angle(3/2, 9/7) = 86.5288<br />
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| Map to lattice: [&lt;0 1 1 2|, &lt;0 0 2 -1|]<br />
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| <br />
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| Map: [&lt;1 0 0 0|, &lt;0 1 1 2|, &lt;0 0 2 -1|]<br />
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| Generators: 2, 3, 9/7<br />
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| Edos: <a class="wiki_link" href="/17edo">,17</a> <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/24edo">24</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/60edo">60</a>, <a class="wiki_link" href="/68edo">68</a>, <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/109edo">109</a>, <a class="wiki_link" href="/128edo">128</a>, <a class="wiki_link" href="/169edo">169</a>, <a class="wiki_link" href="/177edo">177</a>, <a class="wiki_link" href="/237edo">237</a><br />
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| <a class="wiki_link" href="/Badness">Badness</a>: 0.000129<br />
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| <br />
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| <a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 5 243/49 to 2.3.7<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="Sensamagic--Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a></h3>
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| {2, 3, 7} subgroup<br />
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| <br />
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| 12: 729/686, 64/63<br />
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| 17: 64/63, 19683/19208<br />
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| 19: 49/48, 177147/175616<br />
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| 22: 64/63, 537824/531441<br />
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| 24: 64/63, 15059072/14348907<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensamagic-Undecimal sensamagic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Undecimal sensamagic</h2>
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| Commas: 245/243, 385/384<br />
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| <br />
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| <a class="wiki_link" href="/11-limit">11-limit</a> minimax<br />
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| [|1 0 0 0 0&gt;, |21/13 6/13 -1/13 1/13 -3/13&gt;, <br />
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| |35/13 10/13 7/13 -7/13 -5/13&gt;, <br />
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| |35/13 10/13 -6/13 6/13 -5/13&gt;, <br />
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| |42/13 -14/13 -2/13 2/13 7/13&gt;]<br />
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| Eigenmonzos: 2, 11/9, 7/5<br />
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| <br />
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| Map: [&lt;1 0 0 0 7|, &lt;0 1 1 2 -2|, &lt;0 0 2 -1 -1|]<br />
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| Generators: 2, 3, 9/7<br />
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| EDOs: <a class="wiki_link" href="/5edo">5</a>, 17, 19, 22, 41, 68, 87, <a class="wiki_link" href="/196edo">196</a>, <a class="wiki_link" href="/283edo">283</a>, 607bd, 694bd<br />
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| Badness: 0.000722<br />
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| <br />
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| Projection pairs: 5 243/49 11 896/81 to 2.3.7<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Sensamagic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2>
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| Commas: 245/243, 352/351, 385/384<br />
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| <br />
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| Map: [&lt;1 0 0 0 7 12|, &lt;0 1 1 2 -2 -5|, &lt;0 0 2 -1 -1 -1|]<br />
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| Generators: 2, 3, 9/7<br />
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| EDOs: 17, 22, 41, 46, 63, 87, 237, 283, 324d, 370bd, 411bd, 607bd, 694bd<br />
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| Badness: 0.00120<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Sensawer"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensawer</h1>
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| Commas: 245/243, 441/440<br />
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| <br />
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| Map: [&lt;1 0 0 0 -3|, &lt;0 1 1 2 5|, &lt;0 0 2 -1 -4|]<br />
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| EDOs: 41, 87, 302d, 389d, 476bd<br />
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| Badness: 0.000796<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Sensawer-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2>
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| Commas: 196/195, 245/243, 352/351<br />
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| <br />
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| Map: [&lt;1 0 0 0 -3 2|, &lt;0 1 1 2 5 2|, &lt;0 0 2 -1 -4 -4|]<br />
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| EDOs: 41, 46, 87, 522bd<br />
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| Badness: 0.000928<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Octarod"></a><!-- ws:end:WikiTextHeadingRule:12 -->Octarod</h1>
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| Commas: 100/99, 245/243<br />
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| <br />
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| Map: [&lt;1 0 0 0 2|, &lt;0 1 1 2 0|, &lt;0 0 2 -1 4|]<br />
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| EDOs: 19, 22, 41, 63, 104, 109e, 131e, 172e <br />
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| Badness: 0.000581<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Shrusus"></a><!-- ws:end:WikiTextHeadingRule:14 -->Shrusus</h1>
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| Commas: 176/175, 245/243<br />
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| <br />
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| Map: [&lt;1 0 0 0 -4|, &lt;0 1 1 2 4|, &lt;0 0 2 -1 3|]<br />
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| EDOs: 22, 46, 68, 95, 141bc, 163bc, 209bc, 350bc<br />
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| Badness: 0.000877<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Shrusus-Shrusic"></a><!-- ws:end:WikiTextHeadingRule:16 -->Shrusic</h2>
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| Commas: 91/90, 176/175, 245/243<br />
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| <br />
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| Map: [&lt;1 0 0 0 -4 1|, &lt;0 1 1 2 4 1|, &lt;0 0 2 -1 3 3|]<br />
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| EDOs: 22, 46, 211bcf, 233bcf, 257bcf, 279bcf<br />
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| Badness: 0.001125<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Sensigh"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sensigh</h1>
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| Commas: 91/90, 126/125, 169/168<br />
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| <br />
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| Map: [&lt;1 6 8 11 0 10|, &lt;0 -7 -9 -13 0 -10|, &lt;0 0 0 0 1 0|]<br />
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| EDOs: 19, 27, 46, 111df, 157df<br />
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| Badness: 0.000939<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bisector"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bisector</h1>
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| Commas: 121/120, 245/243<br />
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| <br />
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| Map: [&lt;2 0 0 0 3|, &lt;0 1 1 2 1|, &lt;0 0 2 -1 1|]<br />
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| EDOs: 22, 46, 68, 82e, 106de, 114, 128e<br />
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| Badness: 0.001089</body></html></pre></div>
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