Canopic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 485358972 - Original comment: ** |
Wikispaces>Winnona_Arganti **Imported revision 517497664 - Original comment: Added 17-limit data for Mirkat; how is the "Badness" calculated?** |
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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: | : This revision was by author [[User:Winnona_Arganti|Winnona_Arganti]] and made on <tt>2014-07-31 18:14:37 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>517497664</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>Added 17-limit data for Mirkat; how is the "Badness" calculated?</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | <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]] | ||
This tempers out the //mirkwai comma//, |0 3 4 -5> = 16875/16807, a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as miracle, octokaidecal, nusecond, semisept and bohpier, considered elsewhere. | This tempers out the //mirkwai comma//, |0 3 4 -5> = 16875/16807, a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as miracle, octokaidecal, nusecond, semisept and bohpier, considered elsewhere. | ||
| Line 133: | Line 132: | ||
EDOs: 39, 41, 80, 121, 564, 685 | EDOs: 39, 41, 80, 121, 564, 685 | ||
==Orcus== | ==Orcus== | ||
Commas: 144/143, 196/195, 275/273, 896/891 | Commas: 144/143, 196/195, 275/273, 896/891 | ||
| Line 142: | Line 141: | ||
Badness: 0.0334 | Badness: 0.0334 | ||
=Plutino= | =Plutino= | ||
Commas: 100/99, 245/242, 16875/16807 | Commas: 100/99, 245/242, 16875/16807 | ||
| Line 151: | Line 150: | ||
Badness: 0.0580 | Badness: 0.0580 | ||
==13-limit== | ==13-limit== | ||
Commas: 100/99, 196/195, 245/242, 729/728 | Commas: 100/99, 196/195, 245/242, 729/728 | ||
| Line 170: | Line 169: | ||
Badness: 0.0747 | Badness: 0.0747 | ||
==11-limit== | ==11-limit== | ||
Commas: 540/539, 1375/1372, 65625/65536 | Commas: 540/539, 1375/1372, 65625/65536 | ||
| Line 186: | Line 185: | ||
Map: [<3 2 1 2|, <0 6 13 14|] | Map: [<3 2 1 2|, <0 6 13 14|] | ||
Wedgie: <<18 39 42 20 16 -12|| | Wedgie: <<18 39 42 20 16 -12|| | ||
EDOs: | EDOs: 39d, 72, 111, 183, 255 | ||
Badness: 0.0594 | Badness: 0.0594 | ||
| Line 195: | Line 194: | ||
Map: [<3 2 1 2 9|, <0 6 13 14 3|] | Map: [<3 2 1 2 9|, <0 6 13 14 3|] | ||
EDOs: | EDOs: 39d, 72, 111, 183, 255 | ||
Badness: 0.0221 | Badness: 0.0221 | ||
| Line 204: | Line 203: | ||
Map: [<3 2 1 2 9 1|, <0 6 13 14 3 22|] | Map: [<3 2 1 2 9 1|, <0 6 13 14 3 22|] | ||
EDOs: | EDOs: 39df, 72, 111, 183, 255f | ||
Badness: 0.0186 | Badness: 0.0186 | ||
=Subsemifourth= | ==17-limit== | ||
Commas: 351/350, 442/441, 540/539, 561/560, 715/714 | |||
POTE generator: ~10/9 = 183.579 | |||
Map: [<3 2 1 2 9 1 4|, <0 6 13 14 3 22 18|] | |||
EDOs: 39dfg, 72, 111, 183, 255f | |||
=Subsemifourth= | |||
Commas: 16875/16807, 26873856/26796875 | Commas: 16875/16807, 26873856/26796875 | ||
| Line 214: | Line 221: | ||
Map: [<1 39 27 45|, <0 -47 -31 -53|] | Map: [<1 39 27 45|, <0 -47 -31 -53|] | ||
Wedgie: <<47 31 53 -60 -48 36|| | Wedgie: <<47 31 53 -60 -48 36|| | ||
EDOs: 49, 103, 152, 255, 407 | EDOs: 49, 103, 152, 255, 407 | ||
Badness: 0.1352 | Badness: 0.1352 | ||
==11-limit== | ==11-limit== | ||
Commas: 540/539, 1375/1372, 234375/234256 | Commas: 540/539, 1375/1372, 234375/234256 | ||
| Line 226: | Line 233: | ||
Badness: 0.0343 | Badness: 0.0343 | ||
==13-limit== | ==13-limit== | ||
Commas: 540/539, 847/845, 1375/1372, 1575/1573 | Commas: 540/539, 847/845, 1375/1372, 1575/1573 | ||
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Badness: 0.0284</pre></div> | Badness: 0.0284</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Mirkwai clan</title></head><body><!-- ws:start:WikiTextTocRule: | <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>Mirkwai clan</title></head><body><!-- ws:start:WikiTextTocRule:54:&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:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 1em;"><a href="#Grendel">Grendel</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 2em;"><a href="#Grendel-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#Grendel-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 2em;"><a href="#Grendel-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#Grendel-19-limit">19-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 1em;"><a href="#Kwai">Kwai</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#Kwai-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 2em;"><a href="#Kwai-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 2em;"><a href="#Kwai-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 2em;"><a href="#Kwai-19-limit">19-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 1em;"><a href="#Pluto">Pluto</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Pluto-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 2em;"><a href="#Pluto-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 2em;"><a href="#Pluto-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 2em;"><a href="#Pluto-19-limit">19-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><div style="margin-left: 2em;"><a href="#Pluto-Orcus">Orcus</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><div style="margin-left: 1em;"><a href="#Plutino">Plutino</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Plutino-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><div style="margin-left: 1em;"><a href="#Eris">Eris</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><div style="margin-left: 2em;"><a href="#Eris-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><div style="margin-left: 1em;"><a href="#Mirkat">Mirkat</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><div style="margin-left: 2em;"><a href="#Mirkat-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><div style="margin-left: 2em;"><a href="#Mirkat-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 2em;"><a href="#Mirkat-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><div style="margin-left: 1em;"><a href="#Subsemifourth">Subsemifourth</a></div> | |||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><div style="margin-left: 2em;"><a href="#Subsemifourth-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><div style="margin-left: 2em;"><a href="#Subsemifourth-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --></div> | ||
This tempers out the <em>mirkwai comma</em>, |0 3 4 -5&gt; = 16875/16807, a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as miracle, octokaidecal, nusecond, semisept and bohpier, considered elsewhere.<br /> | <!-- ws:end:WikiTextTocRule:82 -->This tempers out the <em>mirkwai comma</em>, |0 3 4 -5&gt; = 16875/16807, a no-twos comma. Members of the clan include grendel, kwai, pluto and mirkat considered below, as well as miracle, octokaidecal, nusecond, semisept and bohpier, considered elsewhere.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Grendel"></a><!-- ws:end:WikiTextHeadingRule:0 -->Grendel</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Grendel"></a><!-- ws:end:WikiTextHeadingRule:0 -->Grendel</h1> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Pluto-Orcus"></a><!-- ws:end:WikiTextHeadingRule:30 -->Orcus</h2> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Pluto-Orcus"></a><!-- ws:end:WikiTextHeadingRule:30 -->Orcus</h2> | ||
Commas: 144/143, 196/195, 275/273, 896/891<br /> | Commas: 144/143, 196/195, 275/273, 896/891<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 585.111<br /> | POTE generator: ~7/5 = 585.111<br /> | ||
| Line 398: | Line 405: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Plutino"></a><!-- ws:end:WikiTextHeadingRule:32 -->Plutino</h1> | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Plutino"></a><!-- ws:end:WikiTextHeadingRule:32 -->Plutino</h1> | ||
Commas: 100/99, 245/242, 16875/16807<br /> | Commas: 100/99, 245/242, 16875/16807<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 585.283<br /> | POTE generator: ~7/5 = 585.283<br /> | ||
| Line 407: | Line 414: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Plutino-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Plutino-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> | ||
Commas: 100/99, 196/195, 245/242, 729/728<br /> | Commas: 100/99, 196/195, 245/242, 729/728<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/5 = 585.232<br /> | POTE generator: ~7/5 = 585.232<br /> | ||
| Line 426: | Line 433: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Eris-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Eris-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2> | ||
Commas: 540/539, 1375/1372, 65625/65536<br /> | Commas: 540/539, 1375/1372, 65625/65536<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11/9 = 348.219<br /> | POTE generator: ~11/9 = 348.219<br /> | ||
| Line 441: | Line 448: | ||
Map: [&lt;3 2 1 2|, &lt;0 6 13 14|]<br /> | Map: [&lt;3 2 1 2|, &lt;0 6 13 14|]<br /> | ||
Wedgie: &lt;&lt;18 39 42 20 16 -12||<br /> | Wedgie: &lt;&lt;18 39 42 20 16 -12||<br /> | ||
EDOs: | EDOs: 39d, 72, 111, 183, 255<br /> | ||
Badness: 0.0594<br /> | Badness: 0.0594<br /> | ||
<br /> | <br /> | ||
| Line 450: | Line 457: | ||
<br /> | <br /> | ||
Map: [&lt;3 2 1 2 9|, &lt;0 6 13 14 3|]<br /> | Map: [&lt;3 2 1 2 9|, &lt;0 6 13 14 3|]<br /> | ||
EDOs: | EDOs: 39d, 72, 111, 183, 255<br /> | ||
Badness: 0.0221<br /> | Badness: 0.0221<br /> | ||
<br /> | <br /> | ||
| Line 459: | Line 466: | ||
<br /> | <br /> | ||
Map: [&lt;3 2 1 2 9 1|, &lt;0 6 13 14 3 22|]<br /> | Map: [&lt;3 2 1 2 9 1|, &lt;0 6 13 14 3 22|]<br /> | ||
EDOs: | EDOs: 39df, 72, 111, 183, 255f<br /> | ||
Badness: 0.0186<br /> | Badness: 0.0186<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Mirkat-17-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->17-limit</h2> | ||
Commas: 16875/16807, 26873856/26796875<br /> | Commas: 351/350, 442/441, 540/539, 561/560, 715/714<br /> | ||
<br /> | |||
POTE generator: ~10/9 = 183.579<br /> | |||
<br /> | |||
Map: [&lt;3 2 1 2 9 1 4|, &lt;0 6 13 14 3 22 18|]<br /> | |||
EDOs: 39dfg, 72, 111, 183, 255f<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Subsemifourth"></a><!-- ws:end:WikiTextHeadingRule:48 -->Subsemifourth</h1> | |||
Commas: 16875/16807, 26873856/26796875<br /> | |||
<br /> | <br /> | ||
POTE generator: ~144/125 = 244.719<br /> | POTE generator: ~144/125 = 244.719<br /> | ||
| Line 469: | Line 484: | ||
Map: [&lt;1 39 27 45|, &lt;0 -47 -31 -53|]<br /> | Map: [&lt;1 39 27 45|, &lt;0 -47 -31 -53|]<br /> | ||
Wedgie: &lt;&lt;47 31 53 -60 -48 36||<br /> | Wedgie: &lt;&lt;47 31 53 -60 -48 36||<br /> | ||
EDOs: 49, 103, 152, 255, 407 <br /> | EDOs: 49, 103, 152, 255, 407<br /> | ||
Badness: 0.1352<br /> | Badness: 0.1352<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Subsemifourth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->11-limit</h2> | ||
Commas: 540/539, 1375/1372, 234375/234256<br /> | Commas: 540/539, 1375/1372, 234375/234256<br /> | ||
<br /> | <br /> | ||
POTE generator: ~121/105 = 244.719<br /> | POTE generator: ~121/105 = 244.719<br /> | ||
| Line 481: | Line 496: | ||
Badness: 0.0343<br /> | Badness: 0.0343<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Subsemifourth-13-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->13-limit</h2> | ||
Commas: 540/539, 847/845, 1375/1372, 1575/1573<br /> | Commas: 540/539, 847/845, 1375/1372, 1575/1573<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/13 = 244.714<br /> | POTE generator: ~15/13 = 244.714<br /> | ||