Werckismic temperaments: Difference between revisions

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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>~~

~~: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-08 15:45:42 UTC</tt>.<br>~~

~~: The original revision id was <tt>240548749</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>~~

~~<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|flat]]

=Rank four=

These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.

Minimax tuning

[|1 0 0 0 0>, |1/2 2/3 1/6 -1/3 1/6>, |0 0 1 0 0>,

|1 -2/3 1/3 1/3 1/3>, |0 0 0 0 1>]

Eigenmonzos: 2, 5, 11, 9/7

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

EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320

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Minimax tuning

[|1 0 0 0 0>, |4/17 12/17 0 -6/17 6/17>,

|-27/17 4/17 0 -2/17 19/17>,

|8/17 -10/17 0 5/17 12/17>, |0 0 0 0 1>]

Eigenmonzos: 2, 11, 9/7

Map: [<1 2 0 0 1|, <0 -6 0 7 2|, <0 0 1 1 1|]

Generators: 2, 21/20, 5

EDOs: 58, 72, 130, 202, 217, 289, 491

Badness: 0.000604

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Minimax tuning

[|1 0 0 0 0 0>, |5/4 0 0 -3/8 0 3/8>, |0 0 1 0 0 0>,

|7/8 0 1 7/16 0 -7/16>, |5/4 0 1 1/8 0 -1/8>,

|7/8 0 1 -9/16 0 9/16>]

Eigenmonzos: 2, 5, 13/7

Map: [<1 2 0 0 1 2|, <0 -6 0 7 2 -9|, <0 0 1 1 1 1|]

Generators: 2, 21/20, 5

EDOs: 58, 72, 87, 130, 217, 289

Badness: 0.000540

[[~~Spectrum of a temperament~~|Spectrum]]: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7

[[Spectrum_of_a_temperament|Spectrum]]: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7

=Varuna=

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Map: [<2 0 0 9 12|, <0 1 0 -4 -6|, <0 0 1 2 3|]

EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320

Generators: 99/70, 3, 5

Badness: 0.000419

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Map: [<8 0 -11 14|, <0 3 7 2|]

EDOs: 72, 176, 248, 320

Badness: 0.1023

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Line 82:

Map: [<8 0 -11 14 15|, <0 3 7 2 3|]

EDOs: 72, 176, 248, 320

Badness: 0.0302

Line 81:

Line 93:

Map: [<8 0 -11 14 15 -38|, <0 3 7 2 3 16|]

EDOs: 72, 248, 320

Badness: 0.0276

~~</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>Werckismic temperaments</title></head><body><a href="#Rank four">Rank four</a> | <a href="#History">History</a> | <a href="#Varuna">Varuna</a> | <a href="#Octowerck">Octowerck</a>

~~<br />~~

~~<h1 id="toc0"><a name="Rank four"></a>Rank four</h1>~~

~~These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.<br />~~

~~<br />~~

~~Minimax tuning<br />~~

~~[|1 0 0 0 0&gt;, |1/2 2/3 1/6 -1/3 1/6&gt;, |0 0 1 0 0&gt;, <br />~~

~~|1 -2/3 1/3 1/3 1/3&gt;, |0 0 0 0 1&gt;]<br />~~

~~Eigenmonzos: 2, 5, 11, 9/7<br />~~

~~<br />~~

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

~~EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320<br />~~

~~<br />~~

~~<h1 id="toc1"><a name="History"></a>History</h1>~~

~~Commas: 441/400, 4000/3993<br />~~

~~<br />~~

~~Minimax tuning<br />~~

~~[|1 0 0 0 0&gt;, |4/17 12/17 0 -6/17 6/17&gt;, <br />~~

~~|-27/17 4/17 0 -2/17 19/17&gt;, <br />~~

~~|8/17 -10/17 0 5/17 12/17&gt;, |0 0 0 0 1&gt;]<br />~~

~~Eigenmonzos: 2, 11, 9/7<br />~~

~~<br />~~

~~Map: [&lt;1 2 0 0 1|, &lt;0 -6 0 7 2|, &lt;0 0 1 1 1|]<br />~~

~~Generators: 2, 21/20, 5<br />~~

~~EDOs: 58, 72, 130, 202, 217, 289, 491<br />~~

~~Badness: 0.000604<br />~~

~~<br />~~

~~<h2 id="toc2"><a name="History-13-limit"></a>13-limit</h2>~~

~~Commas: 364/363, 441/440, 1001/1000<br />~~

~~<br />~~

~~Minimax tuning<br />~~

~~[|1 0 0 0 0 0&gt;, |5/4 0 0 -3/8 0 3/8&gt;, |0 0 1 0 0 0&gt;, <br />~~

~~|7/8 0 1 7/16 0 -7/16&gt;, |5/4 0 1 1/8 0 -1/8&gt;, <br />~~

~~|7/8 0 1 -9/16 0 9/16&gt;]<br />~~

~~Eigenmonzos: 2, 5, 13/7<br />~~

~~<br />~~

~~Map: [&lt;1 2 0 0 1 2|, &lt;0 -6 0 7 2 -9|, &lt;0 0 1 1 1 1|]<br />~~

~~Generators: 2, 21/20, 5<br />~~

~~EDOs: 58, 72, 87, 130, 217, 289<br />~~

~~Badness: 0.000540<br />~~

~~<br />~~

<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7<br />

~~<br />~~

~~<h1 id="toc3"><a name="Varuna"></a>Varuna</h1>~~

~~Commas: 441/440, 8019/8000<br />~~

~~<br />~~

~~Map: [&lt;2 0 0 9 12|, &lt;0 1 0 -4 -6|, &lt;0 0 1 2 3|]<br />~~

~~EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320<br />~~

~~Generators: 99/70, 3, 5<br />~~

~~Badness: 0.000419<br />~~

~~<br />~~

~~<h1 id="toc4"><a name="Octowerck"></a>Octowerck</h1>~~

~~Commas: 420175/419904, 321489/320000<br />~~

~~<br />~~

~~POTE generator: ~350/243 = 633.738<br />~~

~~<br />~~

~~Map: [&lt;8 0 -11 14|, &lt;0 3 7 2|]<br />~~

~~EDOs: 72, 176, 248, 320<br />~~

~~Badness: 0.1023<br />~~

~~<br />~~

~~<h2 id="toc5"><a name="Octowerck-11-limit"></a>11-limit</h2>~~

~~Commas: 441/440, 8019/8000, 41503/41472<br />~~

~~<br />~~

~~POTE generator: ~121/84 = 633.355<br />~~

~~<br />~~

~~Map: [&lt;8 0 -11 14 15|, &lt;0 3 7 2 3|]<br />~~

~~EDOs: 72, 176, 248, 320<br />~~

~~Badness: 0.0302<br />~~

~~<br />~~

~~<h2 id="toc6"><a name="Octowerck-13-limit"></a>13-limit</h2>~~

~~Commas: 441/440, 729/728, 1001/1000, 6656/6655<br />~~

~~<br />~~

~~POTE generator: ~75/52 = 633.742<br />~~

~~<br />~~

~~Map: [&lt;8 0 -11 14 15 -38|, &lt;0 3 7 2 3 16|]<br />~~

~~EDOs: 72, 248, 320<br />~~

~~Badness: 0.0276</body></html></pre></div>~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+__FORCETOC__
-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>2011-07-08 15:45:42 UTC</tt>.<br>
-: The original revision id was <tt>240548749</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>
-<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|flat]]
 =Rank four=
 These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.
 Minimax tuning
 [|1 0 0 0 0&gt;, |1/2 2/3 1/6 -1/3 1/6&gt;, |0 0 1 0 0&gt;,
 |1 -2/3 1/3 1/3 1/3&gt;, |0 0 0 0 1&gt;]
 Eigenmonzos: 2, 5, 11, 9/7
 Map: [&lt;1 0 0 0 -3|, &lt;0 1 0 0 2|, &lt;0 0 1 0 -1|, &lt;0 0 0 1 2|]
 EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320
@@ Line 23: / Line 18: @@
 Minimax tuning
 [|1 0 0 0 0&gt;, |4/17 12/17 0 -6/17 6/17&gt;,
 |-27/17 4/17 0 -2/17 19/17&gt;,
 |8/17 -10/17 0 5/17 12/17&gt;, |0 0 0 0 1&gt;]
 Eigenmonzos: 2, 11, 9/7
 Map: [&lt;1 2 0 0 1|, &lt;0 -6 0 7 2|, &lt;0 0 1 1 1|]
 Generators: 2, 21/20, 5
 EDOs: 58, 72, 130, 202, 217, 289, 491
 Badness: 0.000604
@@ Line 37: / Line 37: @@
 Minimax tuning
 [|1 0 0 0 0 0&gt;, |5/4 0 0 -3/8 0 3/8&gt;, |0 0 1 0 0 0&gt;,
 |7/8 0 1 7/16 0 -7/16&gt;, |5/4 0 1 1/8 0 -1/8&gt;,
 |7/8 0 1 -9/16 0 9/16&gt;]
 Eigenmonzos: 2, 5, 13/7
 Map: [&lt;1 2 0 0 1 2|, &lt;0 -6 0 7 2 -9|, &lt;0 0 1 1 1 1|]
 Generators: 2, 21/20, 5
 EDOs: 58, 72, 87, 130, 217, 289
 Badness: 0.000540
-[[Spectrum of a temperament|Spectrum]]: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7
+[[Spectrum_of_a_temperament|Spectrum]]: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7
 =Varuna=
@@ Line 53: / Line 58: @@
 Map: [&lt;2 0 0 9 12|, &lt;0 1 0 -4 -6|, &lt;0 0 1 2 3|]
 EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320
 Generators: 99/70, 3, 5
 Badness: 0.000419
@@ Line 63: / Line 71: @@
 Map: [&lt;8 0 -11 14|, &lt;0 3 7 2|]
 EDOs: 72, 176, 248, 320
 Badness: 0.1023
@@ Line 72: / Line 82: @@
 Map: [&lt;8 0 -11 14 15|, &lt;0 3 7 2 3|]
 EDOs: 72, 176, 248, 320
 Badness: 0.0302
@@ Line 81: / Line 93: @@
 Map: [&lt;8 0 -11 14 15 -38|, &lt;0 3 7 2 3 16|]
 EDOs: 72, 248, 320
 Badness: 0.0276
-</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;Werckismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:14:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;a href="#Rank four"&gt;Rank four&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#History"&gt;History&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Varuna"&gt;Varuna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt; | &lt;a href="#Octowerck"&gt;Octowerck&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Rank four"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Rank four&lt;/h1&gt;
-These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.&lt;br /&gt;
-&lt;br /&gt;
-Minimax tuning&lt;br /&gt;
-[|1 0 0 0 0&amp;gt;, |1/2 2/3 1/6 -1/3 1/6&amp;gt;, |0 0 1 0 0&amp;gt;, &lt;br /&gt;
-|1 -2/3 1/3 1/3 1/3&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 5, 11, 9/7&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 0 0 0 -3|, &amp;lt;0 1 0 0 2|, &amp;lt;0 0 1 0 -1|, &amp;lt;0 0 0 1 2|]&lt;br /&gt;
-EDOs: 72, 118, 130, 159, 171, 190, 248, 289, 320&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="History"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;History&lt;/h1&gt;
-Commas: 441/400, 4000/3993&lt;br /&gt;
-&lt;br /&gt;
-Minimax tuning&lt;br /&gt;
-[|1 0 0 0 0&amp;gt;, |4/17 12/17 0 -6/17 6/17&amp;gt;, &lt;br /&gt;
-|-27/17 4/17 0 -2/17 19/17&amp;gt;, &lt;br /&gt;
-|8/17 -10/17 0 5/17 12/17&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 11, 9/7&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 2 0 0 1|, &amp;lt;0 -6 0 7 2|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
-Generators: 2, 21/20, 5&lt;br /&gt;
-EDOs: 58, 72, 130, 202, 217, 289, 491&lt;br /&gt;
-Badness: 0.000604&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="History-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
-Commas: 364/363, 441/440, 1001/1000&lt;br /&gt;
-&lt;br /&gt;
-Minimax tuning&lt;br /&gt;
-[|1 0 0 0 0 0&amp;gt;, |5/4 0 0 -3/8 0 3/8&amp;gt;, |0 0 1 0 0 0&amp;gt;, &lt;br /&gt;
-|7/8 0 1 7/16 0 -7/16&amp;gt;, |5/4 0 1 1/8 0 -1/8&amp;gt;, &lt;br /&gt;
-|7/8 0 1 -9/16 0 9/16&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 5, 13/7&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 2 0 0 1 2|, &amp;lt;0 -6 0 7 2 -9|, &amp;lt;0 0 1 1 1 1|]&lt;br /&gt;
-Generators: 2, 21/20, 5&lt;br /&gt;
-EDOs: 58, 72, 87, 130, 217, 289&lt;br /&gt;
-Badness: 0.000540&lt;br /&gt;
-&lt;br /&gt;
-&lt;a class="wiki_link" href="/Spectrum%20of%20a%20temperament"&gt;Spectrum&lt;/a&gt;: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Varuna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Varuna&lt;/h1&gt;
-Commas: 441/440, 8019/8000&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;2 0 0 9 12|, &amp;lt;0 1 0 -4 -6|, &amp;lt;0 0 1 2 3|]&lt;br /&gt;
-EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320&lt;br /&gt;
-Generators: 99/70, 3, 5&lt;br /&gt;
-Badness: 0.000419&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Octowerck"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Octowerck&lt;/h1&gt;
-Commas: 420175/419904, 321489/320000&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~350/243 = 633.738&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;8 0 -11 14|, &amp;lt;0 3 7 2|]&lt;br /&gt;
-EDOs: 72, 176, 248, 320&lt;br /&gt;
-Badness: 0.1023&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="Octowerck-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;11-limit&lt;/h2&gt;
-Commas: 441/440, 8019/8000, 41503/41472&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~121/84 = 633.355&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;8 0 -11 14 15|, &amp;lt;0 3 7 2 3|]&lt;br /&gt;
-EDOs: 72, 176, 248, 320&lt;br /&gt;
-Badness: 0.0302&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Octowerck-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;13-limit&lt;/h2&gt;
-Commas: 441/440, 729/728, 1001/1000, 6656/6655&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~75/52 = 633.742&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;8 0 -11 14 15 -38|, &amp;lt;0 3 7 2 3 16|]&lt;br /&gt;
-EDOs: 72, 248, 320&lt;br /&gt;
-Badness: 0.0276&lt;/body&gt;&lt;/html&gt;</pre></div>