Schismatic 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-~~17 00~~:40:15 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-05 16:27:21 UTC</tt>.<br>

: The original revision id was <tt>~~188868111~~</tt>.<br>

: The original revision id was <tt>191235002</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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The second comma of the [[Normal lists|normal comma list]] defines which 7-limit family member we are looking at. Adding |25 -14 0 -1> gives garibaldi, |-44 26 0 1> grackle, |6 -2 0 -1> schism and |-59 39 0 -1> pontiac; these all have a fifth as generator. Bischismic adds |-69 40 0 2> and has a fifth generator with a half-octave period. Guiron adds 1029/1024 = |-10 1 0 3>, with an 8/7 generator, three of which give the fifth, and term adds |-94 54 0 3> with a 1/3 octave period. Sesquiquartififths adds |-35 15 0 4> and slices the fifth in four.

===Garibaldi===

==Garibaldi==

Commas: 225/224, 3125/3087

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[[edo|Edos]]: [[41edo|41]], [[53edo|53]], [[94edo|94]], [[135edo|135]]

===Guiron===

==Guiron==

Commas: 1029/1024, 10976/10935

[[Comma|Commas]]: 1029/1024, 10976/10935

7-limit ~~minimax~~

[[Minimax tuning]]:

~~Eigenmonzos~~: 2, 5/4

7+9 limit: [|1 0 0 0>, |15/8 0 -1/8 0>,

|0 0 1 0>, |65/24 0 1/24 0>]

~~9-limit minimax~~

[[Eigenmonzo|Eigenmonzos]]: 2, 5/4

Eigenmonzos: 2, 5/4

[[POTE tuning|POTE generator]]: 233.930

Map: [<1 1 7 3|, <0 3 -24 -1|]

Wedgie: <<3 -24 -1 -45 -10 65||

EDOs: 36, 41, 77, 118

Badness: 0.0475

11-limit

===11-limit===

Commas: 385/384, 441/440, 10976/10935

[[Comma|Commas]]: 385/384, 441/440, 10976/10935

11-~~limit minimax~~

[[Minimax tuning]]:

Eigenmonzos: 2, 5/4

[|1 0 0 0 0>, |15/8 0 -1/8 0 0>,

|0 0 1 0 0>, |65/24 0 1/24 0 0>,

|37/6 0 -7/6 0 0>]

[[Eigenmonzo|Eigenmonzos]]: 2, 5/4

[[POTE tuning|POTE generator]]: 233.931

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Map: [<1 1 7 3 -2|, <0 3 -24 -1 28|]

[[edo|Edos]]: [[41edo|41]], [[77edo|77]], [[118edo|118]], [[159edo|159]], [[200edo|200]]

Badness: 0.0266

===Pontiac===

==Pontiac==

Commas: 32805/32768, 4375/4374

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Map: [<1 0 15 -59|, <0 1 -8 39|]

Wedgie: <<1 -8 39 -15 59 113||

[[edo|Edos]]: [[53edo|53]], [[118edo|118]], [[171edo|171]], [[1079edo|1079]], [[1250edo|1250]], [[1421edo|1421]]

Badness: 0.0141

===Grackle===

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Map: [<1 0 15 -44|, <0 1 -8 -26|]

Wedgie: <<1 -8 -26 -15 -44 -38||

[[edo|Edos]]: [[77edo|77]], [[89edo|89]], [[101edo|101]]

Badness: 0.070

===Bischismic===

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Map: [<2 0 30 69|, <0 1 -8 -20|]

Wedgie: <<2 -16 -40 -30 -69 -48||

[[edo|Edos]]: [[118edo|118]], [[130edo|130]], [[248edo|248]], [[378edo|378]], [[508edo|508]]

Badness: 0.0547

===Term===

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Map: [<3 0 45 94|, <0 1 -8 -18|]

Wedgie: <<3 -24 -54 -45 -94 -58||

[[edo|Edos]]: [[171edo|171]], [[1038edo|1038]], [[1209edo|1209]]

Badness: 0.0200

===Sesquiquartififths===

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Map: [<1 1 7 5|, <0 4 -32 -15|]

[[edo|Edos]]: [[171edo|171]], [[643edo|643]]</pre></div>

Wedgie: <<4 -32 -15 -60 -35 55||

[[edo|Edos]]: [[171edo|171]], [[643edo|643]]

Badness: 0.0112</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>Schismatic family</title></head><body>The 5-limit parent comma for the schismatic family is the schisma of 32805/32768, which is the amount by which the Pythagorean comma exceeds the Didymus comma (81/80), or alternatively put, the difference between a just major third and a just diminished fourth. Its <a class="wiki_link" href="/monzo">monzo</a> is |-15 8 1&gt;, and flipping that yields &lt;&lt;1 -8 -15|| for the <a class="wiki_link" href="/Wedgies%20and%20Multivals">wedgie</a>. This tells us the generator is a fifth and that we will need eight fourths in succession to reach the pitch class of a major third. In fact, 10 = (4/3)^8 * 32805/32768. <br />

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The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 7-limit family member we are looking at. Adding |25 -14 0 -1&gt; gives garibaldi, |-44 26 0 1&gt; grackle, |6 -2 0 -1&gt; schism and |-59 39 0 -1&gt; pontiac; these all have a fifth as generator. Bischismic adds |-69 40 0 2&gt; and has a fifth generator with a half-octave period. Guiron adds 1029/1024 = |-10 1 0 3&gt;, with an 8/7 generator, three of which give the fifth, and term adds |-94 54 0 3&gt; with a 1/3 octave period. Sesquiquartififths adds |-35 15 0 4&gt; and slices the fifth in four.<br />

<br />

<h3 id="toc1"><a name="x~~-Seven limit children~~-Garibaldi"></a>Garibaldi</h3>

<h2 id="toc1"><a name="x-Garibaldi"></a>Garibaldi</h2>

Commas: 225/224, 3125/3087<br />

<br />

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<br />

<h3 id="toc2"><a name="x~~-Seven limit children~~-Guiron"></a>Guiron</h3>

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

~~Commas: 1029/1024, 10976/10935~~<br />

<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 10976/10935<br />

<br />

~~7-limit minimax<br~~ /~~>~~

~~Eigenmonzos: 2~~, 5/4<br />

<br />

9-~~limit minimax~~<br />

<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />

Eigenmonzos: 2, 5/4<br />

7+9 limit: [|1 0 0 0&gt;, |15/8 0 -1/8 0&gt;, <br />

|0 0 1 0&gt;, |65/24 0 1/24 0&gt;]<br />

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 233.930<br />

<br />

Map: [&lt;1 1 7 3|, &lt;0 3 -24 -1|]<br />

Wedgie: &lt;&lt;3 -24 -1 -45 -10 65||<br />

EDOs: 36, 41, 77, 118<br />

Badness: 0.0475<br />

<br />

11-limit<br />

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

Commas: 385/384, 441/440, 10976/10935<br />

<a class="wiki_link" href="/Comma">Commas</a>: 385/384, 441/440, 10976/10935<br />

<br />

11-~~limit minimax~~<br />

<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />

Eigenmonzos: 2, 5/4<br />

[|1 0 0 0 0&gt;, |15/8 0 -1/8 0 0&gt;, <br />

|0 0 1 0 0&gt;, |65/24 0 1/24 0 0&gt;, <br />

|37/6 0 -7/6 0 0&gt;]<br />

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 233.931<br />

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Map: [&lt;1 1 7 3 -2|, &lt;0 3 -24 -1 28|]<br />

Badness: 0.0266<br />

<br />

<h3 id="~~toc3~~"><a name="x~~-Seven limit children~~-Pontiac"></a>Pontiac</h3>

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

Commas: 32805/32768, 4375/4374<br />

<br />

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<br />

Map: [&lt;1 0 15 -59|, &lt;0 1 -8 39|]<br />

Wedgie: &lt;&lt;1 -8 39 -15 59 113||<br />

Badness: 0.0141<br />

<br />

<h3 id="~~toc4~~"><a name="x-~~Seven limit children~~-Grackle"></a>Grackle</h3>

<h3 id="toc5"><a name="x-Pontiac-Grackle"></a>Grackle</h3>

Commas: 126/125, 32805/32768<br />

<br />

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<br />

Map: [&lt;1 0 15 -44|, &lt;0 1 -8 -26|]<br />

Wedgie: &lt;&lt;1 -8 -26 -15 -44 -38||<br />

Badness: 0.070<br />

<br />

<h3 id="~~toc5~~"><a name="x-~~Seven limit children~~-Bischismic"></a>Bischismic</h3>

<h3 id="toc6"><a name="x-Pontiac-Bischismic"></a>Bischismic</h3>

Commas: 3136/3125, 32805/32768<br />

<br />

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<br />

Map: [&lt;2 0 30 69|, &lt;0 1 -8 -20|]<br />

Wedgie: &lt;&lt;2 -16 -40 -30 -69 -48||<br />

Badness: 0.0547<br />

<br />

<h3 id="~~toc6~~"><a name="x-~~Seven limit children~~-Term"></a>Term</h3>

<h3 id="toc7"><a name="x-Pontiac-Term"></a>Term</h3>

Commas: 32805/32768, 250047/250000<br />

<br />

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<br />

Map: [&lt;3 0 45 94|, &lt;0 1 -8 -18|]<br />

Wedgie: &lt;&lt;3 -24 -54 -45 -94 -58||<br />

Badness: 0.0200<br />

<br />

<h3 id="~~toc7~~"><a name="x-~~Seven limit children~~-Sesquiquartififths"></a>Sesquiquartififths</h3>

<h3 id="toc8"><a name="x-Pontiac-Sesquiquartififths"></a>Sesquiquartififths</h3>

Commas: 2401/2400, 32805/32768<br />

<br />

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<br />

Map: [&lt;1 1 7 5|, &lt;0 4 -32 -15|]<br />

Wedgie: &lt;&lt;4 -32 -15 -60 -35 55||<br />

Badness: 0.0112</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>2010-12-17 00:40:15 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-05 16:27:21 UTC</tt>.<br>
-: The original revision id was <tt>188868111</tt>.<br>
+: The original revision id was <tt>191235002</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: @@
 The second comma of the [[Normal lists|normal comma list]] defines which 7-limit family member we are looking at. Adding |25 -14 0 -1&gt; gives garibaldi, |-44 26 0 1&gt; grackle, |6 -2 0 -1&gt; schism and |-59 39 0 -1&gt; pontiac; these all have a fifth as generator. Bischismic adds |-69 40 0 2&gt; and has a fifth generator with a half-octave period. Guiron adds 1029/1024 = |-10 1 0 3&gt;, with an 8/7 generator, three of which give the fifth, and term adds |-94 54 0 3&gt; with a 1/3 octave period. Sesquiquartififths adds |-35 15 0 4&gt; and slices the fifth in four.
-===Garibaldi===
+==Garibaldi==
 Commas: 225/224, 3125/3087
@@ Line 48: / Line 48: @@
 [[edo|Edos]]: [[41edo|41]], [[53edo|53]], [[94edo|94]], [[135edo|135]]
-===Guiron===
+==Guiron==
-Commas: 1029/1024, 10976/10935
+[[Comma|Commas]]: 1029/1024, 10976/10935
--limit minimax
+[[Minimax tuning]]:
-Eigenmonzos: 2, 5/4
++9 limit: [|1 0 0 0&gt;, |15/8 0 -1/8 0&gt;,
+|0 0 1 0&gt;, |65/24 0 1/24 0&gt;]
--limit minimax
+[[Eigenmonzo|Eigenmonzos]]: 2, 5/4
-Eigenmonzos: 2, 5/4
 [[POTE tuning|POTE generator]]: 233.930
 Map: [&lt;1 1 7 3|, &lt;0 3 -24 -1|]
+Wedgie: &lt;&lt;3 -24 -1 -45 -10 65||
 EDOs: 36, 41, 77, 118
+Badness: 0.0475
--limit
+===11-limit===
-Commas: 385/384, 441/440, 10976/10935
+[[Comma|Commas]]: 385/384, 441/440, 10976/10935
--limit minimax
+[[Minimax tuning]]:
-Eigenmonzos: 2, 5/4
+[|1 0 0 0 0&gt;, |15/8 0 -1/8 0 0&gt;,
+|0 0 1 0 0&gt;, |65/24 0 1/24 0 0&gt;,
+|37/6 0 -7/6 0 0&gt;]
+[[Eigenmonzo|Eigenmonzos]]: 2, 5/4
 [[POTE tuning|POTE generator]]: 233.931
@@ Line 72: / Line 76: @@
 Map: [&lt;1 1 7 3 -2|, &lt;0 3 -24 -1 28|]
 [[edo|Edos]]: [[41edo|41]], [[77edo|77]], [[118edo|118]], [[159edo|159]], [[200edo|200]]
+Badness: 0.0266
-===Pontiac===
+==Pontiac==
 Commas: 32805/32768, 4375/4374
@@ Line 89: / Line 94: @@
 Map: [&lt;1 0 15 -59|, &lt;0 1 -8 39|]
+Wedgie: &lt;&lt;1 -8 39 -15 59 113||
 [[edo|Edos]]: [[53edo|53]], [[118edo|118]], [[171edo|171]], [[1079edo|1079]], [[1250edo|1250]], [[1421edo|1421]]
+Badness: 0.0141
 ===Grackle===
@@ Line 103: / Line 110: @@
 Map: [&lt;1 0 15 -44|, &lt;0 1 -8 -26|]
+Wedgie: &lt;&lt;1 -8 -26 -15 -44 -38||
 [[edo|Edos]]: [[77edo|77]], [[89edo|89]], [[101edo|101]]
+Badness: 0.070
 ===Bischismic===
@@ Line 117: / Line 126: @@
 Map: [&lt;2 0 30 69|, &lt;0 1 -8 -20|]
+Wedgie: &lt;&lt;2 -16 -40 -30 -69 -48||
 [[edo|Edos]]: [[118edo|118]], [[130edo|130]], [[248edo|248]], [[378edo|378]], [[508edo|508]]
+Badness: 0.0547
 ===Term===
@@ Line 131: / Line 142: @@
 Map: [&lt;3 0 45 94|, &lt;0 1 -8 -18|]
+Wedgie: &lt;&lt;3 -24 -54 -45 -94 -58||
 [[edo|Edos]]: [[171edo|171]], [[1038edo|1038]], [[1209edo|1209]]
+Badness: 0.0200
 ===Sesquiquartififths===
@@ Line 145: / Line 158: @@
 Map: [&lt;1 1 7 5|, &lt;0 4 -32 -15|]
-[[edo|Edos]]: [[171edo|171]], [[643edo|643]]</pre></div>
+Wedgie: &lt;&lt;4 -32 -15 -60 -35 55||
+[[edo|Edos]]: [[171edo|171]], [[643edo|643]]
+Badness: 0.0112</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;Schismatic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 5-limit parent comma for the schismatic family is the schisma of 32805/32768, which is the amount by which the Pythagorean comma exceeds the Didymus comma (81/80), or alternatively put, the difference between a just major third and a just diminished fourth. Its &lt;a class="wiki_link" href="/monzo"&gt;monzo&lt;/a&gt; is |-15 8 1&amp;gt;, and flipping that yields &amp;lt;&amp;lt;1 -8 -15|| for the &lt;a class="wiki_link" href="/Wedgies%20and%20Multivals"&gt;wedgie&lt;/a&gt;. This tells us the generator is a fifth and that we will need eight fourths in succession to reach the pitch class of a major third. In fact, 10 = (4/3)^8 * 32805/32768. &lt;br /&gt;
@@ Line 159: / Line 174: @@
 The second comma of the &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; defines which 7-limit family member we are looking at. Adding |25 -14 0 -1&amp;gt; gives garibaldi, |-44 26 0 1&amp;gt; grackle, |6 -2 0 -1&amp;gt; schism and |-59 39 0 -1&amp;gt; pontiac; these all have a fifth as generator. Bischismic adds |-69 40 0 2&amp;gt; and has a fifth generator with a half-octave period. Guiron adds 1029/1024 = |-10 1 0 3&amp;gt;, with an 8/7 generator, three of which give the fifth, and term adds |-94 54 0 3&amp;gt; with a 1/3 octave period. Sesquiquartififths adds |-35 15 0 4&amp;gt; and slices the fifth in four.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Seven limit children-Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Garibaldi&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Garibaldi&lt;/h2&gt;
 Commas: 225/224, 3125/3087&lt;br /&gt;
 &lt;br /&gt;
@@ Line 189: / Line 204: @@
 &lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/135edo"&gt;135&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Seven limit children-Guiron"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Guiron&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Guiron"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Guiron&lt;/h2&gt;
-Commas: 1029/1024, 10976/10935&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 1029/1024, 10976/10935&lt;br /&gt;
-&lt;br /&gt;
--limit minimax&lt;br /&gt;
-Eigenmonzos: 2, 5/4&lt;br /&gt;
 &lt;br /&gt;
--limit minimax&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
-Eigenmonzos: 2, 5/4&lt;br /&gt;
++9 limit: [|1 0 0 0&amp;gt;, |15/8 0 -1/8 0&amp;gt;, &lt;br /&gt;
+|0 0 1 0&amp;gt;, |65/24 0 1/24 0&amp;gt;]&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 233.930&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 7 3|, &amp;lt;0 3 -24 -1|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;3 -24 -1 -45 -10 65||&lt;br /&gt;
 EDOs: 36, 41, 77, 118&lt;br /&gt;
+Badness: 0.0475&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-Guiron-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;11-limit&lt;/h3&gt;
-Commas: 385/384, 441/440, 10976/10935&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 385/384, 441/440, 10976/10935&lt;br /&gt;
 &lt;br /&gt;
--limit minimax&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
-Eigenmonzos: 2, 5/4&lt;br /&gt;
+[|1 0 0 0 0&amp;gt;, |15/8 0 -1/8 0 0&amp;gt;, &lt;br /&gt;
+|0 0 1 0 0&amp;gt;, |65/24 0 1/24 0 0&amp;gt;, &lt;br /&gt;
+|37/6 0 -7/6 0 0&amp;gt;]&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 233.931&lt;br /&gt;
@@ Line 213: / Line 232: @@
 Map: [&amp;lt;1 1 7 3 -2|, &amp;lt;0 3 -24 -1 28|]&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;, &lt;a class="wiki_link" href="/200edo"&gt;200&lt;/a&gt;&lt;br /&gt;
+Badness: 0.0266&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-Seven limit children-Pontiac"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Pontiac&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Pontiac"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Pontiac&lt;/h2&gt;
 Commas: 32805/32768, 4375/4374&lt;br /&gt;
 &lt;br /&gt;
@@ Line 230: / Line 250: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 0 15 -59|, &amp;lt;0 1 -8 39|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;1 -8 39 -15 59 113||&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/171edo"&gt;171&lt;/a&gt;, &lt;a class="wiki_link" href="/1079edo"&gt;1079&lt;/a&gt;, &lt;a class="wiki_link" href="/1250edo"&gt;1250&lt;/a&gt;, &lt;a class="wiki_link" href="/1421edo"&gt;1421&lt;/a&gt;&lt;br /&gt;
+Badness: 0.0141&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-Seven limit children-Grackle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Grackle&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Pontiac-Grackle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Grackle&lt;/h3&gt;
 Commas: 126/125, 32805/32768&lt;br /&gt;
 &lt;br /&gt;
@@ Line 244: / Line 266: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 0 15 -44|, &amp;lt;0 1 -8 -26|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;1 -8 -26 -15 -44 -38||&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/89edo"&gt;89&lt;/a&gt;, &lt;a class="wiki_link" href="/101edo"&gt;101&lt;/a&gt;&lt;br /&gt;
+Badness: 0.070&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Seven limit children-Bischismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Bischismic&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-Pontiac-Bischismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Bischismic&lt;/h3&gt;
 Commas: 3136/3125, 32805/32768&lt;br /&gt;
 &lt;br /&gt;
@@ Line 258: / Line 282: @@
 &lt;br /&gt;
 Map: [&amp;lt;2 0 30 69|, &amp;lt;0 1 -8 -20|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;2 -16 -40 -30 -69 -48||&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/130edo"&gt;130&lt;/a&gt;, &lt;a class="wiki_link" href="/248edo"&gt;248&lt;/a&gt;, &lt;a class="wiki_link" href="/378edo"&gt;378&lt;/a&gt;, &lt;a class="wiki_link" href="/508edo"&gt;508&lt;/a&gt;&lt;br /&gt;
+Badness: 0.0547&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-Seven limit children-Term"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Term&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Pontiac-Term"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Term&lt;/h3&gt;
 Commas: 32805/32768, 250047/250000&lt;br /&gt;
 &lt;br /&gt;
@@ Line 272: / Line 298: @@
 &lt;br /&gt;
 Map: [&amp;lt;3 0 45 94|, &amp;lt;0 1 -8 -18|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;3 -24 -54 -45 -94 -58||&lt;br /&gt;
 &lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171&lt;/a&gt;, &lt;a class="wiki_link" href="/1038edo"&gt;1038&lt;/a&gt;, &lt;a class="wiki_link" href="/1209edo"&gt;1209&lt;/a&gt;&lt;br /&gt;
+Badness: 0.0200&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Seven limit children-Sesquiquartififths"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Sesquiquartififths&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Pontiac-Sesquiquartififths"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Sesquiquartififths&lt;/h3&gt;
 Commas: 2401/2400, 32805/32768&lt;br /&gt;
 &lt;br /&gt;
@@ Line 286: / Line 314: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 1 7 5|, &amp;lt;0 4 -32 -15|]&lt;br /&gt;
-&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171&lt;/a&gt;, &lt;a class="wiki_link" href="/643edo"&gt;643&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+Wedgie: &amp;lt;&amp;lt;4 -32 -15 -60 -35 55||&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/171edo"&gt;171&lt;/a&gt;, &lt;a class="wiki_link" href="/643edo"&gt;643&lt;/a&gt;&lt;br /&gt;
+Badness: 0.0112&lt;/body&gt;&lt;/html&gt;</pre></div>