Starling family: Difference between revisions

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<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>~~2010~~-12-~~15 21~~:03:47 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-02 14:27:09 UTC</tt>.<br>

: The original revision id was <tt>~~188551369~~</tt>.<br>

: The original revision id was <tt>190498074</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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Generators: 2, 3, 5

[[edo|EDOs]]: 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, [[77edo|77]], [[108edo|108]], [[185edo|185]], <135 214 314 379|

Badness: 0.0000699

Scales: [[starling7]], [[starling8]], [[starling9]], [[starling11]], [[starling12]], [[starling15]], [[starling16]], [[starling17]], [[starling19]]

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34: 15625/15552, 2048/2025

~~==11 limit children==~~

===Thrush===

==Thrush==

[[Comma|Commas]]: 126/125, 176/175

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[[Generator|Generators]]: 2, 3, 5

EDOs: 12, 15, 31, 46, 58, 89, 135, 224

Badness: 0.000353

13-limit

===13-limit===

Commas: 126/125, 176/175, 196/195

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

EDOs: 31, 46, 58

Badness: 0.000677

====Bluebird====

===Bluebird===

Commas 126/125, 176/175, 144/143

Map: [<1 0 0 -1 -5 9|, <0 1 0 -2 -2 4|, <0 0 1 3 5 -5|]

EDOs: 12, 15, 31, 43, 58

Badness: 0.000915

====Nightingale====

===Nightingale===

Commas: 126/125, 176/175, 66/65

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

[[edo|EDOs]]: [[15edo|15]], [[28edo|28]], [[31edo|31]], [[46edo|46]], [[58edo|58]], [[89edo|89]]

Badness: 0.000837

===Thrasher===

==Thrasher==

[[Comma|Commas]]: 126/125, 100/99

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[[Generator|Generators]]: 2, 3, 5

EDOs: 12, 15, 19, 34

Badness: 0.000480

13-limit

===13-limit===

Commas: 126/125, 100/99, 91/90

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

EDOs: 12, 15, 18, 34

Badness: 0.000876

====Mockingbird====

===Mockingbird===

Commas: 126/125, 100/99, 40/39

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

EDOs: 15

Badness: 0.000859

====Catbird====

===Catbird===

Commas: 126/125, 100/99, 78/77

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

[[edo|EDOs]]: [[12edo|12]], [[15edo|15]], [[19edo|19]], [[34edo|34]]

Badness: 0.000905

===Aplonis===

==Aplonis==

Commas: 126/125, 540/539

Map: [<1 0 0 -1 4|, <0 1 0 -2 7|, <0 0 1 3 -5|]

EDOs: 19, 31, 58, 89

Badness: 0.000648

13-limit

===13-limit===

Commas: 126/125, 144/143, 196/195

Map: [<1 0 0 -1 4 0|, <0 1 0 -2 7 -5|, <0 0 1 3 -5 5|]

EDOs: 19, 31, 50, 58

</pre></div>

Badness: 0.000821</pre></div>

<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>Starling family</title></head><body>The head of the starling family is starling, which tempers out 126/125, the starling comma or septimal semicomma. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent starling tuning, is given by <a class="wiki_link" href="/77edo">77edo</a>. Other possible tunings are <a class="wiki_link" href="/108edo">108edo</a> and <a class="wiki_link" href="/185edo">185edo</a>, and the nonpatent <a class="wiki_link" href="/135edo">135edo</a> val &lt;135 214 314 379|.<br />

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Generators: 2, 3, 5<br />

Badness: 0.0000699<br />

<br />

Scales: <a class="wiki_link" href="/starling7">starling7</a>, <a class="wiki_link" href="/starling8">starling8</a>, <a class="wiki_link" href="/starling9">starling9</a>, <a class="wiki_link" href="/starling11">starling11</a>, <a class="wiki_link" href="/starling12">starling12</a>, <a class="wiki_link" href="/starling15">starling15</a>, <a class="wiki_link" href="/starling16">starling16</a>, <a class="wiki_link" href="/starling17">starling17</a>, <a class="wiki_link" href="/starling19">starling19</a><br />

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34: 15625/15552, 2048/2025<br />

<br />

<h2 id="toc2"><a name="x-11 limit children"></a>11 limit children</h2>

<br />

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

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

<a class="wiki_link" href="/Comma">Commas</a>: 126/125, 176/175<br />

<br />

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<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br />

EDOs: 12, 15, 31, 46, 58, 89, 135, 224<br />

Badness: 0.000353<br />

<br />

13-limit<br />

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

Commas: 126/125, 176/175, 196/195<br />

<br />

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

EDOs: 31, 46, 58<br />

Badness: 0.000677<br />

<br />

<h4 id="toc4"><a name="x~~-11 limit children~~-Thrush-Bluebird"></a>Bluebird</h4>

<h3 id="toc4"><a name="x-Thrush-Bluebird"></a>Bluebird</h3>

Commas 126/125, 176/175, 144/143<br />

<br />

Map: [&lt;1 0 0 -1 -5 9|, &lt;0 1 0 -2 -2 4|, &lt;0 0 1 3 5 -5|]<br />

EDOs: 12, 15, 31, 43, 58<br />

Badness: 0.000915<br />

<br />

<h4 id="toc5"><a name="x~~-11 limit children~~-Thrush-Nightingale"></a>Nightingale</h4>

<h3 id="toc5"><a name="x-Thrush-Nightingale"></a>Nightingale</h3>

Commas: 126/125, 176/175, 66/65<br />

<br />

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

Badness: 0.000837<br />

<br />

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

<h2 id="toc6"><a name="x-Thrasher"></a>Thrasher</h2>

<a class="wiki_link" href="/Comma">Commas</a>: 126/125, 100/99<br />

<br />

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<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br />

EDOs: 12, 15, 19, 34<br />

Badness: 0.000480<br />

<br />

13-limit<br />

<h3 id="toc7"><a name="x-Thrasher-13-limit"></a>13-limit</h3>

Commas: 126/125, 100/99, 91/90<br />

<br />

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

EDOs: 12, 15, 18, 34<br />

Badness: 0.000876<br />

<br />

<h4 id="~~toc7~~"><a name="x~~-11 limit children~~-Thrasher-Mockingbird"></a>Mockingbird</h4>

<h3 id="toc8"><a name="x-Thrasher-Mockingbird"></a>Mockingbird</h3>

Commas: 126/125, 100/99, 40/39<br />

<br />

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

EDOs: 15<br />

Badness: 0.000859<br />

<br />

<h4 id="~~toc8~~"><a name="x~~-11 limit children~~-Thrasher-Catbird"></a>Catbird</h4>

<h3 id="toc9"><a name="x-Thrasher-Catbird"></a>Catbird</h3>

Commas: 126/125, 100/99, 78/77<br />

<br />

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

Badness: 0.000905<br />

<br />

<h3 id="~~toc9~~"><a name="x~~-11 limit children~~-Aplonis"></a>Aplonis</h3>

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

Commas: 126/125, 540/539<br />

<br />

Map: [&lt;1 0 0 -1 4|, &lt;0 1 0 -2 7|, &lt;0 0 1 3 -5|]<br />

EDOs: 19, 31, 58, 89<br />

Badness: 0.000648<br />

<br />

13-limit<br />

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

Commas: 126/125, 144/143, 196/195<br />

<br />

EDOs: 19, 31, 50, 58</body></html></pre></div>

Map: [&lt;1 0 0 -1 4 0|, &lt;0 1 0 -2 7 -5|, &lt;0 0 1 3 -5 5|]<br />

EDOs: 19, 31, 50, 58<br />

Badness: 0.000821</body></html></pre></div>

@@ 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>2010-12-15 21:03:47 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-02 14:27:09 UTC</tt>.<br>
-: The original revision id was <tt>188551369</tt>.<br>
+: The original revision id was <tt>190498074</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 26: / Line 26: @@
 Generators: 2, 3, 5
 [[edo|EDOs]]: 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, [[77edo|77]], [[108edo|108]], [[185edo|185]], &lt;135 214 314 379|
+Badness: 0.0000699
 Scales: [[starling7]], [[starling8]], [[starling9]], [[starling11]], [[starling12]], [[starling15]], [[starling16]], [[starling17]], [[starling19]]
@@ Line 44: / Line 45: @@
 : 15625/15552, 2048/2025
-==11 limit children==
-===Thrush===
+==Thrush==
 [[Comma|Commas]]: 126/125, 176/175
@@ Line 61: / Line 61: @@
 [[Generator|Generators]]: 2, 3, 5
 EDOs: 12, 15, 31, 46, 58, 89, 135, 224
+Badness: 0.000353
--limit
+===13-limit===
 Commas: 126/125, 176/175, 196/195
+Map: [&lt;1 0 0 -1 -5 0|, &lt;0 1 0 -2 -2 -5|, &lt;0 0 1 3 5 5|]
 EDOs: 31, 46, 58
+Badness: 0.000677
-====Bluebird====
+===Bluebird===
 Commas 126/125, 176/175, 144/143
+Map: [&lt;1 0 0 -1 -5 9|, &lt;0 1 0 -2 -2 4|, &lt;0 0 1 3 5 -5|]
 EDOs: 12, 15, 31, 43, 58
+Badness: 0.000915
-====Nightingale====
+===Nightingale===
 Commas: 126/125, 176/175, 66/65
+Map: [&lt;1 0 0 -1 -5 -4|, &lt;0 1 0 -2 -2 -1|, &lt;0 0 1 3 5 4|]
 [[edo|EDOs]]: [[15edo|15]], [[28edo|28]], [[31edo|31]], [[46edo|46]], [[58edo|58]], [[89edo|89]]
+Badness: 0.000837
-===Thrasher===
+==Thrasher==
 [[Comma|Commas]]: 126/125, 100/99
@@ Line 93: / Line 100: @@
 [[Generator|Generators]]: 2, 3, 5
 EDOs: 12, 15, 19, 34
+Badness: 0.000480
--limit
+===13-limit===
 Commas: 126/125, 100/99, 91/90
+Map: [&lt;1 0 0 -1 2 2|, &lt;0 1 0 -2 -2 4|, &lt;0 0 1 3 2 -2|]
 EDOs: 12, 15, 18, 34
+Badness: 0.000876
-====Mockingbird====
+===Mockingbird===
 Commas: 126/125, 100/99, 40/39
+Map: [&lt;1 0 0 -1 2 3|, &lt;0 1 0 -2 -2 -1|, &lt;0 0 1 3 2 1|]
 EDOs: 15
+Badness: 0.000859
-====Catbird====
+===Catbird===
 Commas: 126/125, 100/99, 78/77
+Map: [&lt;1 0 0 -1 2 0|, &lt;0 1 0 -2 -2 -5|, &lt;0 0 1 3 2 5|]
 [[edo|EDOs]]: [[12edo|12]], [[15edo|15]], [[19edo|19]], [[34edo|34]]
+Badness: 0.000905
-===Aplonis===
+==Aplonis==
 Commas: 126/125, 540/539
+Map: [&lt;1 0 0 -1 4|, &lt;0 1 0 -2 7|, &lt;0 0 1 3 -5|]
 EDOs: 19, 31, 58, 89
+Badness: 0.000648
--limit
+===13-limit===
 Commas: 126/125, 144/143, 196/195
+Map: [&lt;1 0 0 -1 4 0|, &lt;0 1 0 -2 7 -5|, &lt;0 0 1 3 -5 5|]
 EDOs: 19, 31, 50, 58
-</pre></div>
+Badness: 0.000821</pre></div>
 <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;Starling family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The head of the starling family is starling, which tempers out 126/125, the starling comma or septimal semicomma. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent starling tuning, is given by &lt;a class="wiki_link" href="/77edo"&gt;77edo&lt;/a&gt;.  Other possible tunings are &lt;a class="wiki_link" href="/108edo"&gt;108edo&lt;/a&gt; and &lt;a class="wiki_link" href="/185edo"&gt;185edo&lt;/a&gt;, and the nonpatent &lt;a class="wiki_link" href="/135edo"&gt;135edo&lt;/a&gt; val &amp;lt;135 214 314 379|.&lt;br /&gt;
@@ Line 140: / Line 157: @@
 Generators: 2, 3, 5&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/108edo"&gt;108&lt;/a&gt;, &lt;a class="wiki_link" href="/185edo"&gt;185&lt;/a&gt;, &amp;lt;135 214 314 379|&lt;br /&gt;
+Badness: 0.0000699&lt;br /&gt;
 &lt;br /&gt;
 Scales: &lt;a class="wiki_link" href="/starling7"&gt;starling7&lt;/a&gt;, &lt;a class="wiki_link" href="/starling8"&gt;starling8&lt;/a&gt;, &lt;a class="wiki_link" href="/starling9"&gt;starling9&lt;/a&gt;, &lt;a class="wiki_link" href="/starling11"&gt;starling11&lt;/a&gt;, &lt;a class="wiki_link" href="/starling12"&gt;starling12&lt;/a&gt;, &lt;a class="wiki_link" href="/starling15"&gt;starling15&lt;/a&gt;, &lt;a class="wiki_link" href="/starling16"&gt;starling16&lt;/a&gt;, &lt;a class="wiki_link" href="/starling17"&gt;starling17&lt;/a&gt;, &lt;a class="wiki_link" href="/starling19"&gt;starling19&lt;/a&gt;&lt;br /&gt;
@@ Line 158: / Line 176: @@
 : 15625/15552, 2048/2025&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-11 limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11 limit children&lt;/h2&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-11 limit children-Thrush"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Thrush&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Thrush"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Thrush&lt;/h2&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 176/175&lt;br /&gt;
 &lt;br /&gt;
@@ Line 175: / Line 192: @@
 &lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
 EDOs: 12, 15, 31, 46, 58, 89, 135, 224&lt;br /&gt;
+Badness: 0.000353&lt;br /&gt;
 &lt;br /&gt;
--limit&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Thrush-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h3&gt;
 Commas: 126/125, 176/175, 196/195&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 -5 0|, &amp;lt;0 1 0 -2 -2 -5|, &amp;lt;0 0 1 3 5 5|]&lt;br /&gt;
 EDOs: 31, 46, 58&lt;br /&gt;
+Badness: 0.000677&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc4"&gt;&lt;a name="x-11 limit children-Thrush-Bluebird"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Bluebird&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Thrush-Bluebird"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Bluebird&lt;/h3&gt;
 Commas 126/125, 176/175, 144/143&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 -5 9|, &amp;lt;0 1 0 -2 -2 4|, &amp;lt;0 0 1 3 5 -5|]&lt;br /&gt;
 EDOs: 12, 15, 31, 43, 58&lt;br /&gt;
+Badness: 0.000915&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc5"&gt;&lt;a name="x-11 limit children-Thrush-Nightingale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Nightingale&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Thrush-Nightingale"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Nightingale&lt;/h3&gt;
 Commas: 126/125, 176/175, 66/65&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 -5 -4|, &amp;lt;0 1 0 -2 -2 -1|, &amp;lt;0 0 1 3 5 4|]&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15&lt;/a&gt;, &lt;a class="wiki_link" href="/28edo"&gt;28&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58&lt;/a&gt;, &lt;a class="wiki_link" href="/89edo"&gt;89&lt;/a&gt;&lt;br /&gt;
+Badness: 0.000837&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-11 limit children-Thrasher"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Thrasher&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Thrasher"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Thrasher&lt;/h2&gt;
 &lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 100/99&lt;br /&gt;
 &lt;br /&gt;
@@ Line 207: / Line 231: @@
 &lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
 EDOs: 12, 15, 19, 34&lt;br /&gt;
+Badness: 0.000480&lt;br /&gt;
 &lt;br /&gt;
--limit&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Thrasher-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h3&gt;
 Commas: 126/125, 100/99, 91/90&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 2 2|, &amp;lt;0 1 0 -2 -2 4|, &amp;lt;0 0 1 3 2 -2|]&lt;br /&gt;
 EDOs: 12, 15, 18, 34&lt;br /&gt;
+Badness: 0.000876&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc7"&gt;&lt;a name="x-11 limit children-Thrasher-Mockingbird"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Mockingbird&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Thrasher-Mockingbird"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Mockingbird&lt;/h3&gt;
 Commas: 126/125, 100/99, 40/39&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 2 3|, &amp;lt;0 1 0 -2 -2 -1|, &amp;lt;0 0 1 3 2 1|]&lt;br /&gt;
 EDOs: 15&lt;br /&gt;
+Badness: 0.000859&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc8"&gt;&lt;a name="x-11 limit children-Thrasher-Catbird"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Catbird&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-Thrasher-Catbird"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Catbird&lt;/h3&gt;
 Commas: 126/125, 100/99, 78/77&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 2 0|, &amp;lt;0 1 0 -2 -2 -5|, &amp;lt;0 0 1 3 2 5|]&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/15edo"&gt;15&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/34edo"&gt;34&lt;/a&gt;&lt;br /&gt;
+Badness: 0.000905&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-11 limit children-Aplonis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Aplonis&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Aplonis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Aplonis&lt;/h2&gt;
 Commas: 126/125, 540/539&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 0 0 -1 4|, &amp;lt;0 1 0 -2 7|, &amp;lt;0 0 1 3 -5|]&lt;br /&gt;
 EDOs: 19, 31, 58, 89&lt;br /&gt;
+Badness: 0.000648&lt;br /&gt;
 &lt;br /&gt;
--limit&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x-Aplonis-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;13-limit&lt;/h3&gt;
 Commas: 126/125, 144/143, 196/195&lt;br /&gt;
 &lt;br /&gt;
-EDOs: 19, 31, 50, 58&lt;/body&gt;&lt;/html&gt;</pre></div>
+Map: [&amp;lt;1 0 0 -1 4 0|, &amp;lt;0 1 0 -2 7 -5|, &amp;lt;0 0 1 3 -5 5|]&lt;br /&gt;
+EDOs: 19, 31, 50, 58&lt;br /&gt;
+Badness: 0.000821&lt;/body&gt;&lt;/html&gt;</pre></div>