Kleismic family: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2011-02-~~20 18~~:57:39 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-24 12:57:37 UTC</tt>.<br>

: The original revision id was <tt>~~203543908~~</tt>.<br>

: The original revision id was <tt>204728084</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>

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[[Comma|Commas]]: 49/48, 126/125

[[POTE tuning|POTE generator]]: 316.473

[[POTE tuning|POTE generator]]: ~6/5 = 316.473

Map: [<1 0 1 2|, <0 6 5 3|]

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EDOs: [[15edo|15]], [[19edo|19]], [[91edo|91]]

Badness: 0.0274

===11-limit===

Commas: 49/48, 56/55, 100/99

[[POTE tuning|POTE generator]]: ~6/5 = 317.576

Map: [<1 0 1 2 4|, <0 6 5 3 -2|]

EDOs: 4, 15, 19, 34

Badness: 0.0274

===13-limit===

Commas: 49/48, 56/55, 78/77, 100/99

[[POTE tuning|POTE generator]]: ~6/5 = 316.611

Map: [<1 0 1 2 4 5|, <0 6 5 3 -2 -5|]

EDOs: 4, 15, 19, 72

Badness: 0.0297

==Catakleismic==

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<a class="wiki_link" href="/Comma">Commas</a>: 49/48, 126/125<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 316.473<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 316.473<br />

<br />

Map: [&lt;1 0 1 2|, &lt;0 6 5 3|]<br />

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Line 188:

Badness: 0.0274<br />

<br />

<h2 id="~~toc2~~"><a name="x-Catakleismic"></a>Catakleismic</h2>

<h3 id="toc2"><a name="x-Keemun-11-limit"></a>11-limit</h3>

Commas: 49/48, 56/55, 100/99<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 317.576<br />

<br />

Map: [&lt;1 0 1 2 4|, &lt;0 6 5 3 -2|]<br />

EDOs: 4, 15, 19, 34<br />

Badness: 0.0274<br />

<br />

<h3 id="toc3"><a name="x-Keemun-13-limit"></a>13-limit</h3>

Commas: 49/48, 56/55, 78/77, 100/99<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~6/5 = 316.611<br />

<br />

Map: [&lt;1 0 1 2 4 5|, &lt;0 6 5 3 -2 -5|]<br />

EDOs: 4, 15, 19, 72<br />

Badness: 0.0297<br />

<br />

<h2 id="toc4"><a name="x-Catakleismic"></a>Catakleismic</h2>

<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 4375/4374<br />

<br />

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Badness: 0.0215<br />

<br />

<h3 id="~~toc3~~"><a name="x-Catakleismic-11-limit"></a>11-limit</h3>

<h3 id="toc5"><a name="x-Catakleismic-11-limit"></a>11-limit</h3>

<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 385/384, 4375/4374<br />

<br />

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Badness: 0.0218<br />

<br />

<h3 id="~~toc4~~"><a name="x-Catakleismic-13-limit"></a>13-limit</h3>

<h3 id="toc6"><a name="x-Catakleismic-13-limit"></a>13-limit</h3>

<a class="wiki_link" href="/Comma">Commas</a>: 169/168, 225/224, 325/324, 540/539<br />

<br />

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Badness: 0.0169<br />

<br />

<h2 id="~~toc5~~"><a name="x-Countercata"></a>Countercata</h2>

<h2 id="toc7"><a name="x-Countercata"></a>Countercata</h2>

<a class="wiki_link" href="/Comma">Commas</a>: 15625/15552, 5120/5103<br />

<br />

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Badness: 0.0521<br />

<br />

<h3 id="~~toc6~~"><a name="x-Countercata-11-limit"></a>11-limit</h3>

<h3 id="toc8"><a name="x-Countercata-11-limit"></a>11-limit</h3>

Commas: 385/384, 2200/2187, 3388/3375<br />

<br />

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Badness: 0.0398<br />

<br />

<h2 id="~~toc7~~"><a name="x-Hemikleismic"></a>Hemikleismic</h2>

<h2 id="toc9"><a name="x-Hemikleismic"></a>Hemikleismic</h2>

Commas: 4000/3969, 6144/6125<br />

<br />

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EDOs: 53, 121<br />

<br />

<h2 id="~~toc8~~"><a name="x-Clyde"></a>Clyde</h2>

<h2 id="toc10"><a name="x-Clyde"></a>Clyde</h2>

<a class="wiki_link" href="/Comma">Commas</a>: 245/243, 3136/3125<br />

<br />

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<br />

<h2 id="~~toc9~~"><a name="x-Tritikleismic"></a>Tritikleismic</h2>

<h2 id="toc11"><a name="x-Tritikleismic"></a>Tritikleismic</h2>

Commas: 15625/15552, 1029/1024<br />

<br />

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Badness: 0.0563<br />

<br />

<h3 id="~~toc10~~"><a name="x-Tritikleismic-11-limit"></a>11-limit</h3>

<h3 id="toc12"><a name="x-Tritikleismic-11-limit"></a>11-limit</h3>

Commas: 385/384, 441/440, 4000/3993<br />

<br />

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Badness: 0.0193<br />

<br />

<h3 id="~~toc11~~"><a name="x-Tritikleismic-13-limit"></a>13-limit</h3>

<h3 id="toc13"><a name="x-Tritikleismic-13-limit"></a>13-limit</h3>

Commas: 325/324, 364/363, 441/440, 625/624<br />

<br />

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Badness: 0.0157<br />

<br />

<h2 id="~~toc12~~"><a name="x-Quadritikleismic"></a>Quadritikleismic</h2>

<h2 id="toc14"><a name="x-Quadritikleismic"></a>Quadritikleismic</h2>

Commas: 15625/15552, 2401/2400<br />

<br />

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Badness: 0.0392<br />

<br />

<h3 id="~~toc13~~"><a name="x-Quadritikleismic-11-limit"></a>11-limit</h3>

<h3 id="toc15"><a name="x-Quadritikleismic-11-limit"></a>11-limit</h3>

Commas: 385/384, 1375/1372, 6250/6237<br />

<br />

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Badness: 0.0234<br />

<br />

<h3 id="~~toc14~~"><a name="x-Quadritikleismic-13-limit"></a>13-limit</h3>

<h3 id="toc16"><a name="x-Quadritikleismic-13-limit"></a>13-limit</h3>

Commas: 325/324, 385/384, 625/624, 1573/1568<br />

<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-02-20 18:57:39 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-24 12:57:37 UTC</tt>.<br>
-: The original revision id was <tt>203543908</tt>.<br>
+: The original revision id was <tt>204728084</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>
@@ Line 18: / Line 18: @@
 [[Comma|Commas]]: 49/48, 126/125
-[[POTE tuning|POTE generator]]: 316.473
+[[POTE tuning|POTE generator]]: ~6/5 = 316.473
 Map: [&lt;1 0 1 2|, &lt;0 6 5 3|]
@@ Line 24: / Line 24: @@
 EDOs: [[15edo|15]], [[19edo|19]], [[91edo|91]]
 Badness: 0.0274
+===11-limit===
+Commas: 49/48, 56/55, 100/99
+[[POTE tuning|POTE generator]]: ~6/5 = 317.576
+Map: [&lt;1 0 1 2 4|, &lt;0 6 5 3 -2|]
+EDOs: 4, 15, 19, 34
+Badness: 0.0274
+===13-limit===
+Commas: 49/48, 56/55, 78/77, 100/99
+[[POTE tuning|POTE generator]]: ~6/5 = 316.611
+Map: [&lt;1 0 1 2 4 5|, &lt;0 6 5 3 -2 -5|]
+EDOs: 4, 15, 19, 72
+Badness: 0.0297
 ==Catakleismic==
@@ Line 163: / Line 181: @@
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 49/48, 126/125&lt;br /&gt;
 &lt;br /&gt;
-&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 316.473&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~6/5 = 316.473&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 1 2|, &amp;lt;0 6 5 3|]&lt;br /&gt;
@@ Line 170: / Line 188: @@
 Badness: 0.0274&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Catakleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Catakleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Keemun-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit&lt;/h3&gt;
+Commas: 49/48, 56/55, 100/99&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~6/5 = 317.576&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 1 2 4|, &amp;lt;0 6 5 3 -2|]&lt;br /&gt;
+EDOs: 4, 15, 19, 34&lt;br /&gt;
+Badness: 0.0274&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Keemun-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h3&gt;
+Commas: 49/48, 56/55, 78/77, 100/99&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~6/5 = 316.611&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 1 2 4 5|, &amp;lt;0 6 5 3 -2 -5|]&lt;br /&gt;
+EDOs: 4, 15, 19, 72&lt;br /&gt;
+Badness: 0.0297&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Catakleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Catakleismic&lt;/h2&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 4375/4374&lt;br /&gt;
 &lt;br /&gt;
@@ Line 180: / Line 216: @@
 Badness: 0.0215&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Catakleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;11-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Catakleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;11-limit&lt;/h3&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 385/384, 4375/4374&lt;br /&gt;
 &lt;br /&gt;
@@ Line 189: / Line 225: @@
 Badness: 0.0218&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Catakleismic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;13-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-Catakleismic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;13-limit&lt;/h3&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 169/168, 225/224, 325/324, 540/539&lt;br /&gt;
 &lt;br /&gt;
@@ Line 198: / Line 234: @@
 Badness: 0.0169&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Countercata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Countercata&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Countercata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Countercata&lt;/h2&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 15625/15552, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
@@ Line 208: / Line 244: @@
 Badness: 0.0521&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-Countercata-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;11-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Countercata-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;11-limit&lt;/h3&gt;
 Commas: 385/384, 2200/2187, 3388/3375&lt;br /&gt;
 &lt;br /&gt;
@@ Line 217: / Line 253: @@
 Badness: 0.0398&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Hemikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Hemikleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Hemikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Hemikleismic&lt;/h2&gt;
 Commas: 4000/3969, 6144/6125&lt;br /&gt;
 &lt;br /&gt;
@@ Line 225: / Line 261: @@
 EDOs: 53, 121&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Clyde"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Clyde&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Clyde"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Clyde&lt;/h2&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 245/243, 3136/3125&lt;br /&gt;
 &lt;br /&gt;
@@ Line 240: / Line 276: @@
 &lt;a class="wiki_link" href="/Edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/49edo"&gt;49&lt;/a&gt;, &lt;a class="wiki_link" href="/68edo"&gt;68&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87&lt;/a&gt;, &lt;a class="wiki_link" href="/155edo"&gt;155&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Tritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Tritikleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Tritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Tritikleismic&lt;/h2&gt;
 Commas: 15625/15552, 1029/1024&lt;br /&gt;
 &lt;br /&gt;
@@ Line 250: / Line 286: @@
 Badness: 0.0563&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x-Tritikleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;11-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="x-Tritikleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;11-limit&lt;/h3&gt;
 Commas: 385/384, 441/440, 4000/3993&lt;br /&gt;
 &lt;br /&gt;
@@ Line 259: / Line 295: @@
 Badness: 0.0193&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x-Tritikleismic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;13-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x-Tritikleismic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;13-limit&lt;/h3&gt;
 Commas: 325/324, 364/363, 441/440, 625/624&lt;br /&gt;
 &lt;br /&gt;
@@ Line 268: / Line 304: @@
 Badness: 0.0157&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-Quadritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Quadritikleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-Quadritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Quadritikleismic&lt;/h2&gt;
 Commas: 15625/15552, 2401/2400&lt;br /&gt;
 &lt;br /&gt;
@@ Line 278: / Line 314: @@
 Badness: 0.0392&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x-Quadritikleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;11-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x-Quadritikleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;11-limit&lt;/h3&gt;
 Commas: 385/384, 1375/1372, 6250/6237&lt;br /&gt;
 &lt;br /&gt;
@@ Line 287: / Line 323: @@
 Badness: 0.0234&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="x-Quadritikleismic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;13-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-Quadritikleismic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;13-limit&lt;/h3&gt;
 Commas: 325/324, 385/384, 625/624, 1573/1568&lt;br /&gt;
 &lt;br /&gt;