Aberschismic temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 330180812 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 339763950 - 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>2012-05- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-26 17:33:16 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>339763950</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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=Leapday= | =Leapday= | ||
Comma: 10737418240/10460353203 | |||
POTE generator: ~3/2 = 704.179 | |||
Map: [<1 0 -31|, <0 1 21|] | |||
EDOs: 29, 46, 121, 167, 455bc, 622bc | |||
Badness: 0.5232 | |||
==7-limit== | |||
Commas: 686/675, 5120/5103 | Commas: 686/675, 5120/5103 | ||
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Wedgie: <<1 21 15 31 21 -24|| | Wedgie: <<1 21 15 31 21 -24|| | ||
EDOs: 29, 46, 305 | EDOs: 29, 46, 305 | ||
Badness: 0.0961 | |||
==11-limit== | ==11-limit== | ||
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Map: [<1 0 -31 -21 -14|, <0 1 21 15 11|] | Map: [<1 0 -31 -21 -14|, <0 1 21 15 11|] | ||
EDOs: 29, 46, 259 | EDOs: 29, 46, 259 | ||
Badness: 0.0386 | |||
==13-limit== | ==13-limit== | ||
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Map: [<1 0 -31 -21 -14 -9|, <0 1 21 15 11 8|] | Map: [<1 0 -31 -21 -14 -9|, <0 1 21 15 11 8|] | ||
EDOs: 29, 46, 167, 213, 380 | EDOs: 29, 46, 167, 213, 380 | ||
Badness: 0.0247 | |||
=Mystery= | =Mystery= | ||
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EDOs: 53 | EDOs: 53 | ||
Badness: 0.0321 | Badness: 0.0321 | ||
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</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"><html><head><title>Hemifamity temperaments</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>Hemifamity temperaments</title></head><body><!-- ws:start:WikiTextTocRule:56:&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:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 1em;"><a href="#Buzzard">Buzzard</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 2em;"><a href="#Buzzard-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#Buzzard-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Buzzard-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#Buzzard-Buteo">Buteo</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 3em;"><a href="#Buzzard-Buteo-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 1em;"><a href="#Undecental">Undecental</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 1em;"><a href="#Leapday">Leapday</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Leapday-7-limit">7-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Leapday-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 2em;"><a href="#Leapday-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 1em;"><a href="#Mystery">Mystery</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 2em;"><a href="#Mystery-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><div style="margin-left: 2em;"><a href="#Mystery-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><div style="margin-left: 1em;"><a href="#Quanic">Quanic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><div style="margin-left: 2em;"><a href="#Quanic-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><div style="margin-left: 2em;"><a href="#Quanic-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><div style="margin-left: 2em;"><a href="#Quanic-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><div style="margin-left: 2em;"><a href="#Quanic-19-limit">19-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><div style="margin-left: 1em;"><a href="#Supers">Supers</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><div style="margin-left: 2em;"><a href="#Supers-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 2em;"><a href="#Supers-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><div style="margin-left: 1em;"><a href="#Alphaquarter">Alphaquarter</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><div style="margin-left: 2em;"><a href="#Alphaquarter-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><div style="margin-left: 1em;"><a href="#Septiquarter">Septiquarter</a></div> | ||
<!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><div style="margin-left: 1em;"><a href="#Tricot">Tricot</a></div> | |||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><div style="margin-left: 2em;"><a href="#Tricot-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><div style="margin-left: 2em;"><a href="#Tricot-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --></div> | ||
<!-- ws:end:WikiTextTocRule:85 --><br /> | |||
The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.<br /> | The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Leapday"></a><!-- ws:end:WikiTextHeadingRule:14 -->Leapday</h1> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Leapday"></a><!-- ws:end:WikiTextHeadingRule:14 -->Leapday</h1> | ||
Commas: 686/675, 5120/5103<br /> | Comma: 10737418240/10460353203<br /> | ||
<br /> | |||
POTE generator: ~3/2 = 704.179<br /> | |||
<br /> | |||
Map: [&lt;1 0 -31|, &lt;0 1 21|]<br /> | |||
EDOs: 29, 46, 121, 167, 455bc, 622bc<br /> | |||
Badness: 0.5232<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Leapday-7-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->7-limit</h2> | |||
Commas: 686/675, 5120/5103<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.263<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.263<br /> | ||
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Wedgie: &lt;&lt;1 21 15 31 21 -24||<br /> | Wedgie: &lt;&lt;1 21 15 31 21 -24||<br /> | ||
EDOs: 29, 46, 305<br /> | EDOs: 29, 46, 305<br /> | ||
Badness: 0.0961<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Leapday-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2> | ||
Commas: 121/120, 441/440, 686/675<br /> | Commas: 121/120, 441/440, 686/675<br /> | ||
<br /> | <br /> | ||
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Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]<br /> | Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]<br /> | ||
EDOs: 29, 46, 259<br /> | EDOs: 29, 46, 259<br /> | ||
Badness: 0.0386<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Leapday-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2> | ||
Commas: 91/90, 121/120, 169/168, 441/440<br /> | Commas: 91/90, 121/120, 169/168, 441/440<br /> | ||
<br /> | <br /> | ||
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Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]<br /> | Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]<br /> | ||
EDOs: 29, 46, 167, 213, 380<br /> | EDOs: 29, 46, 167, 213, 380<br /> | ||
Badness: 0.0247<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Mystery"></a><!-- ws:end:WikiTextHeadingRule:22 -->Mystery</h1> | ||
Commas: 5120/5103, 50421/50000<br /> | Commas: 5120/5103, 50421/50000<br /> | ||
<br /> | <br /> | ||
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Badness: 0.1037<br /> | Badness: 0.1037<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Mystery-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> | ||
Commas: 441/440, 896/891, 3388/3375<br /> | Commas: 441/440, 896/891, 3388/3375<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0343<br /> | Badness: 0.0343<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Mystery-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2> | ||
Commas: 196/195, 352/351, 364/363, 676/675<br /> | Commas: 196/195, 352/351, 364/363, 676/675<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0186<br /> | Badness: 0.0186<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Quanic"></a><!-- ws:end:WikiTextHeadingRule:28 -->Quanic</h1> | ||
Commas: 5120/5103, 5832000/5764801<br /> | Commas: 5120/5103, 5832000/5764801<br /> | ||
<br /> | <br /> | ||
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Badness: 0.1795<br /> | Badness: 0.1795<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Quanic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->11-limit</h2> | ||
Commas: 540/539, 1331/1323, 5120/5103<br /> | Commas: 540/539, 1331/1323, 5120/5103<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0587<br /> | Badness: 0.0587<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Quanic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->13-limit</h2> | ||
Commas: 352/351, 540/539, 729/728, 1331/1323<br /> | Commas: 352/351, 540/539, 729/728, 1331/1323<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0325<br /> | Badness: 0.0325<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Quanic-17-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->17-limit</h2> | ||
Commas: 352/351, 442/441, 540/539, 715/714, 847/845<br /> | Commas: 352/351, 442/441, 540/539, 715/714, 847/845<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0211<br /> | Badness: 0.0211<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Quanic-19-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->19-limit</h2> | ||
Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714<br /> | Commas: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0173<br /> | Badness: 0.0173<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Supers"></a><!-- ws:end:WikiTextHeadingRule:38 -->Supers</h1> | ||
Commas: 5120/5103, 118098/117649<br /> | Commas: 5120/5103, 118098/117649<br /> | ||
<br /> | <br /> | ||
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Badness: 92.748<br /> | Badness: 92.748<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Supers-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> | ||
Commas: 540/539, 4000/3993, 5120/5103<br /> | Commas: 540/539, 4000/3993, 5120/5103<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0282<br /> | Badness: 0.0282<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Supers-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> | ||
Commas: 352/351, 540/539, 729/728, 1575/1573<br /> | Commas: 352/351, 540/539, 729/728, 1575/1573<br /> | ||
<br /> | <br /> | ||
| Line 485: | Line 509: | ||
Badness: 0.0216<br /> | Badness: 0.0216<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Alphaquarter"></a><!-- ws:end:WikiTextHeadingRule:44 -->Alphaquarter</h1> | ||
Commas: 5120/5103, 29360128/29296875<br /> | Commas: 5120/5103, 29360128/29296875<br /> | ||
<br /> | <br /> | ||
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Badness: 0.1166<br /> | Badness: 0.1166<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Alphaquarter-11-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->11-limit</h2> | ||
Commas: 3025/3024, 4000/3993, 5120/5103<br /> | Commas: 3025/3024, 4000/3993, 5120/5103<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0296<br /> | Badness: 0.0296<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Septiquarter"></a><!-- ws:end:WikiTextHeadingRule:48 -->Septiquarter</h1> | ||
Commas: 5120/5103, 420175/419904<br /> | Commas: 5120/5103, 420175/419904<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0538<br /> | Badness: 0.0538<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Tricot"></a><!-- ws:end:WikiTextHeadingRule:50 -->Tricot</h1> | ||
Commas: 2430/2401, 5120/5103<br /> | Commas: 2430/2401, 5120/5103<br /> | ||
<br /> | <br /> | ||
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Badness: 0.1001<br /> | Badness: 0.1001<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Tricot-11-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->11-limit</h2> | ||
Commas: 99/98, 121/120, 5120/5103<br /> | Commas: 99/98, 121/120, 5120/5103<br /> | ||
<br /> | <br /> | ||
| Line 532: | Line 556: | ||
Badness: 0.0561<br /> | Badness: 0.0561<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Tricot-13-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->13-limit</h2> | ||
Commas: 99/98, 121/120, 169/168, 352/351<br /> | Commas: 99/98, 121/120, 169/168, 352/351<br /> | ||
<br /> | <br /> | ||