Kleismic 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>2011-01-~~15 19~~:03:07 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-06 16:51:53 UTC</tt>.<br>

: The original revision id was <tt>~~193549270~~</tt>.<br>

: The original revision id was <tt>199139592</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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EDOs: [[15edo|15]], [[19edo|19]], [[53edo|53]], [[72edo|72]], [[269edo|269]], [[341edo|341]]

Badness: 0.0218

===13-limit===

[[Comma|Commas]]: 169/168, 225/224, 325/324, 540/539

[[POTE tuning|POTE generator]]: 316.738

Map: [<1 0 1 -3 9 0|, <0 6 5 22 -21 14|]

EDOs: [[15edo|15]], [[19edo|19]], [[53edo|53]], [[72edo|72]], [[197edo|197]], [[269edo|269]], [[466edo|466]]

Badness: 0.0169

==Countercata==

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Map: [<3 0 3 10|, <0 6 5 -2|]

Wedgie: <<18 15 -6 -18 -60 -56||

EDOs: 12, 15, 57, 72, 159, 231

Badness: 0.0563

EDOs: 72, 231

===11-limit===

Commas: 385/384, 441/440, 4000/3993

[[POTE tuning|POTE generator]]: 316.881

Map: [<3 0 3 10 8|, <0 6 5 -2 3|]

EDOs: 12, 15, 57, 72, 159, 231

Badness: 0.0193

===13-limit===

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

[[POTE tuning|POTE generator]]: 316.959

Map: [<3 0 3 10 8 0|, <0 6 5 -2 3 14|]

EDOs: 12, 15, 72, 87, 159, 867, 1026

Badness: 0.0157

==Quadritikleismic==

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Badness: 0.0218<br />

<br />

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

<h3 id="toc4"><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 />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 316.738<br />

<br />

Map: [&lt;1 0 1 -3 9 0|, &lt;0 6 5 22 -21 14|]<br />

EDOs: <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/197edo">197</a>, <a class="wiki_link" href="/269edo">269</a>, <a class="wiki_link" href="/466edo">466</a><br />

Badness: 0.0169<br />

<br />

<h2 id="toc5"><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 />

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

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

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

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

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

<br />

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<br />

Map: [&lt;3 0 3 10|, &lt;0 6 5 -2|]<br />

Wedgie: &lt;&lt;18 15 -6 -18 -60 -56||<br />

EDOs: 12, 15, 57, 72, 159, 231<br />

Badness: 0.0563<br />

<br />

<h3 id="toc9"><a name="x-Tritikleismic-11-limit"></a>11-limit</h3>

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

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 316.881<br />

<br />

Map: [&lt;3 0 3 10 8|, &lt;0 6 5 -2 3|]<br />

EDOs: 12, 15, 57, 72, 159, 231<br />

Badness: 0.0193<br />

<br />

<h3 id="toc10"><a name="x-Tritikleismic-13-limit"></a>13-limit</h3>

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

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 316.959<br />

<br />

EDOs: 72, ~~231~~<br />

Map: [&lt;3 0 3 10 8 0|, &lt;0 6 5 -2 3 14|]<br />

EDOs: 12, 15, 72, 87, 159, 867, 1026<br />

Badness: 0.0157<br />

<br />

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

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

Commas: 15625/15552, 2401/2400<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>2011-01-15 19:03:07 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-06 16:51:53 UTC</tt>.<br>
-: The original revision id was <tt>193549270</tt>.<br>
+: The original revision id was <tt>199139592</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 43: / Line 43: @@
 EDOs: [[15edo|15]], [[19edo|19]], [[53edo|53]], [[72edo|72]], [[269edo|269]], [[341edo|341]]
 Badness: 0.0218
+===13-limit===
+[[Comma|Commas]]: 169/168, 225/224, 325/324, 540/539
+[[POTE tuning|POTE generator]]: 316.738
+Map: [&lt;1 0 1 -3 9 0|, &lt;0 6 5 22 -21 14|]
+EDOs: [[15edo|15]], [[19edo|19]], [[53edo|53]], [[72edo|72]], [[197edo|197]], [[269edo|269]], [[466edo|466]]
+Badness: 0.0169
 ==Countercata==
@@ Line 83: / Line 92: @@
 Map: [&lt;3 0 3 10|, &lt;0 6 5 -2|]
+Wedgie: &lt;&lt;18 15 -6 -18 -60 -56||
+EDOs: 12, 15, 57, 72, 159, 231
+Badness: 0.0563
-EDOs: 72, 231
+===11-limit===
+Commas: 385/384, 441/440, 4000/3993
+[[POTE tuning|POTE generator]]: 316.881
+Map: [&lt;3 0 3 10 8|, &lt;0 6 5 -2 3|]
+EDOs: 12, 15, 57, 72, 159, 231
+Badness: 0.0193
+===13-limit===
+Commas: 325/324, 364/363, 441/440, 625/624
+[[POTE tuning|POTE generator]]: 316.959
+Map: [&lt;3 0 3 10 8 0|, &lt;0 6 5 -2 3 14|]
+EDOs: 12, 15, 72, 87, 159, 867, 1026
+Badness: 0.0157
 ==Quadritikleismic==
@@ Line 133: / Line 161: @@
 Badness: 0.0218&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-Countercata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Countercata&lt;/h2&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;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;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 316.738&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 1 -3 9 0|, &amp;lt;0 6 5 22 -21 14|]&lt;br /&gt;
+EDOs: &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="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/197edo"&gt;197&lt;/a&gt;, &lt;a class="wiki_link" href="/269edo"&gt;269&lt;/a&gt;, &lt;a class="wiki_link" href="/466edo"&gt;466&lt;/a&gt;&lt;br /&gt;
+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;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 15625/15552, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
@@ Line 143: / Line 180: @@
 Badness: 0.0521&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-Hemikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Hemikleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Hemikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Hemikleismic&lt;/h2&gt;
 Commas: 4000/3969, 6144/6125&lt;br /&gt;
 &lt;br /&gt;
@@ Line 151: / Line 188: @@
 EDOs: 53, 121&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="x-Clyde"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Clyde&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Clyde"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&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 166: / Line 203: @@
 &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:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Tritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Tritikleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Tritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Tritikleismic&lt;/h2&gt;
 Commas: 15625/15552, 1029/1024&lt;br /&gt;
 &lt;br /&gt;
@@ Line 172: / Line 209: @@
 &lt;br /&gt;
 Map: [&amp;lt;3 0 3 10|, &amp;lt;0 6 5 -2|]&lt;br /&gt;
+Wedgie: &amp;lt;&amp;lt;18 15 -6 -18 -60 -56||&lt;br /&gt;
+EDOs: 12, 15, 57, 72, 159, 231&lt;br /&gt;
+Badness: 0.0563&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-Tritikleismic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;11-limit&lt;/h3&gt;
+Commas: 385/384, 441/440, 4000/3993&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 316.881&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;3 0 3 10 8|, &amp;lt;0 6 5 -2 3|]&lt;br /&gt;
+EDOs: 12, 15, 57, 72, 159, 231&lt;br /&gt;
+Badness: 0.0193&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-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;13-limit&lt;/h3&gt;
+Commas: 325/324, 364/363, 441/440, 625/624&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 316.959&lt;br /&gt;
 &lt;br /&gt;
-EDOs: 72, 231&lt;br /&gt;
+Map: [&amp;lt;3 0 3 10 8 0|, &amp;lt;0 6 5 -2 3 14|]&lt;br /&gt;
+EDOs: 12, 15, 72, 87, 159, 867, 1026&lt;br /&gt;
+Badness: 0.0157&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-Quadritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Quadritikleismic&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Quadritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Quadritikleismic&lt;/h2&gt;
 Commas: 15625/15552, 2401/2400&lt;br /&gt;
 &lt;br /&gt;