Sensipent family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 212084506 - Original comment: **
Wikispaces>xenwolf
**Imported revision 214067788 - Original comment: links added, does anybody know where (/if) the definition of Badness can be found in this wiki?**
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2011-03-20 03:23:49 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-03-25 15:43:12 UTC</tt>.<br>
: The original revision id was <tt>212084506</tt>.<br>
: The original revision id was <tt>214067788</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>links added, does anybody know where (/if) the definition of Badness can be found in this wiki?</tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<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>
<h4>Original Wikitext content:</h4>
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=Sensipent=
=Sensipent=
Comma: 78732/78125
[[Comma]]: 78732/78125


[[POTE tuning|POTE generator]]: 162/125 =
[[POTE tuning|POTE generator]]: 162/125 =


Map: [&lt;1 6 8|, &lt;0 -7 -9|]
[[Map]]: [&lt;1 6 8|, &lt;0 -7 -9|]
EDOs: 8, 19, 46, 65, 539
[[EDO]]s: [[8edo|8]], [[19edo|19]], [[46edo|46]], [[65edo|65]], [[539edo|539]]




=Sensi=
=Sensi=
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as 13-limit sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;27 temperament. It has as a generator half of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as [[13-limit]] sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. [[46edo]] is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.


[[Comma|Commas]]: 126/125, 245/243
[[Comma|Commas]]: 126/125, 245/243
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Algebraic generator: Calista, the [[Algebraic number|real root]] of x^7-2x^2-1, at 340.6467 cents.  
Algebraic generator: Calista, the [[Algebraic number|real root]] of x^7-2x^2-1, at 340.6467 cents.  


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
[[Map]]: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
[[Generator|Generators]]: 2, 14/9
[[Generator|Generators]]: 2, 14/9
EDOs: 19, 27, 46, 249, 295
[[EDO]]s: [[19edo|19]], [[27edo|27]], [[46edo|46]], [[249edo|249]], [[295edo|295]]
Badness: 0.0256
[[Badness]]: 0.0256


==Sensor==
==Sensor==
Commas: 126/125, 245/243, 385/384
[[Comma]]s: 126/125, 245/243, 385/384


[[POTE tuning|POTE generator]]: ~9/7 = 443.294
[[POTE tuning|POTE generator]]: ~9/7 = 443.294


Map: [&lt;1 6 8 11 -6|, &lt;0 -7 -9 -13 15|]
[[Map]]: [&lt;1 6 8 11 -6|, &lt;0 -7 -9 -13 15|]
EDOs: 8, 19, 27, 46, 111, 157
[[EDO]]s: 8, 19, 27, 46, 111, 157
Badness: 0.0379
[[Badness]]: 0.0379


===13-limit===
===13-limit===
Commas: 91/90, 126/125, 169/168, 385/384
[[Comma]]s: 91/90, 126/125, 169/168, 385/384


[[POTE tuning|POTE generator]]: ~9/7 = 443.321
[[POTE tuning|POTE generator]]: ~9/7 = 443.321


Map: [&lt;1 6 8 11 -6 10|, &lt;0 -7 -9 -13 15 -10|]
[[Map]]: [&lt;1 6 8 11 -6 10|, &lt;0 -7 -9 -13 15 -10|]
EDOs: 8, 19, 27, 46, 157
[[EDO]]s: [[8edo|8]], [[19edo|19]], [[27edo|27]], [[46edo|46]], [[157edo|157]]
Badness: 0.0256
[[Badness]]: 0.0256


==Sensis==
==Sensis==
Commas: 56/55, 100/99, 245/243
[[Comma]]s: 56/55, 100/99, 245/243


[[POTE tuning|POTE generator]]:  443.962
[[POTE tuning|POTE generator]]:  443.962


Map: [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]
[[Map]]: [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]
EDOs: 19, 27, 73, 100
[[EDO]]s: [[19edo|19]], [[27edo|27]], [[73edo|73]], [[100edo|100]]
Badness: 0.0287
[[Badness]]: 0.0287


===13-limit===
===13-limit===
Commas: 56/55, 78/77, 91/90, 100/99
[[Comma]]s: 56/55, 78/77, 91/90, 100/99


[[POTE tuning|POTE generator]]: 443.945
[[POTE tuning|POTE generator]]: 443.945


Map: [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]
[[Map]]: [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]
EDOs: 19, 27, 73, 100
[[EDO]]s: 19, 27, 73, 100
Badness: 0.0200
[[Badness]]: 0.0200


==Sensus==
==Sensus==
Commas: 126/125, 176/175, 245/243
[[Comma]]s: 126/125, 176/175, 245/243


POTE generator: ~9/7 = 443.626
[[POTE generator]]: ~9/7 = 443.626


Map: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]
[[Map]]: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]
EDOs: 8, 19, 27, 46, 165
[[EDO]]s: 8, 19, 27, 46, 165
Badness: 0.0295
[[Badness]]: 0.0295


===13-limit===
===13-limit===
Commas: 91/90, 126/125, 169/168, 352/351
[[Comma]]s: 91/90, 126/125, 169/168, 352/351


POTE generator: ~9/7 = 443.559
[[POTE generator]]: ~9/7 = 443.559


Map: [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]
[[Map]]: [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]
EDOs: 8, 19, 27, 46, 303
[[EDO]]s: 8, 19, 27, 46, [[303edo|303]]
Badness: 0.0208
[[Badness]]: 0.0208


=Heinz=
=Heinz=
Commas: 78732/78125, 1029/1024
[[Comma]]s: 78732/78125, 1029/1024


POTE generator: ~48/35 = 546.815
[[POTE generator]]: ~48/35 = 546.815


Map: [&lt;1 13 17 -1|, &lt;0 -21 -27 7|]
[[Map]]: [&lt;1 13 17 -1|, &lt;0 -21 -27 7|]
EDOs: 46, 103, 149
[[EDO]]s: 46, [[103edo|103]], [[149edo|149]]
Badness: 0.1154
[[Badness]]: 0.1154


==11-limit==
==11-limit==
Commas: 385/384, 441/440, 88208/87500
[[Comma]]s: 385/384, 441/440, 88208/87500


POTE generator: ~11/8 = 547.631
[[POTE generator]]: ~11/8 = 547.631


Map: [&lt;1 13 17 -1 4|, &lt;0 -21 -27 7 -1|]
[[Map]]: [&lt;1 13 17 -1 4|, &lt;0 -21 -27 7 -1|]
EDOs: 46, 103, 149
[[EDO]]s: 46, 103, 149
Badness: 0.0424
[[Badness]]: 0.0424


==13-limit==
==13-limit==
Commas: 351/350, 385/384, 441/440, 847/845
[[Comma]]s: 351/350, 385/384, 441/440, 847/845


POTE generator: ~11/8 = 547.629
[[POTE generator]]: ~11/8 = 547.629


Map: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]
[[Map]]: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]
EDOs: 46, 57, 103, 149
[[EDO]]s: 46, 57, 103, 149
Badness: 0.0258
[[Badness]]: 0.0258


==17-limit==
==17-limit==
Commas: 273/272, 351/350, 385/384, 441/440, 847/845
[[Comma]]s: 273/272, 351/350, 385/384, 441/440, 847/845


POTE generator: ~11/8 = 547.635
[[POTE generator]]: ~11/8 = 547.635


Map: [&lt;1 13 17 -1 4 -5 3|, &lt;0 -21 -27 7 -1 16 2|]
[[Map]]: [&lt;1 13 17 -1 4 -5 3|, &lt;0 -21 -27 7 -1 16 2|]
EDOs: 46, 57, 103, 149
[[EDO]]s: 46, [[57edo|57]], 103, 149
Badness: 0.0185
[[Badness]]: 0.0185


==19-limit==
==19-limit==
Commas: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968
[[Commas]]: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968


POTE generator: ~11/8 = 547.614
[[POTE generator]]: ~11/8 = 547.614


Map: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]
[[Map]]: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]
EDOs: 46, 57, 103, 252
[[EDO]]s: 46, 57, 103, [[252edo|252]]
Badness: 0.0190</pre></div>
[[Badness]]: 0.0190</pre></div>
<h4>Original HTML content:</h4>
<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;Sensipent family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:26:&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:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;a href="#Sensipent"&gt;Sensipent&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt; | &lt;a href="#Heinz"&gt;Heinz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;
<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;Sensipent family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:26:&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:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;a href="#Sensipent"&gt;Sensipent&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt; | &lt;a href="#Heinz"&gt;Heinz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;
&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensipent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensipent&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Sensipent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sensipent&lt;/h1&gt;
Comma: 78732/78125&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 78732/78125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 162/125 =&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 162/125 =&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8|, &amp;lt;0 -7 -9|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8|, &amp;lt;0 -7 -9|]&lt;br /&gt;
EDOs: 8, 19, 46, 65, 539&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/65edo"&gt;65&lt;/a&gt;, &lt;a class="wiki_link" href="/539edo"&gt;539&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&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="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sensi&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Sensi&lt;/h1&gt;
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;amp;27 temperament. It has as a generator half of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as 13-limit sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt; is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.&lt;br /&gt;
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&amp;amp;27 temperament. It has as a generator half of a slightly wide major sixth, which gives an interval sharp of 9/7 and flat of 13/10, both of which can be used to identify it, as &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt; is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 245/243&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 126/125, 245/243&lt;br /&gt;
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Algebraic generator: Calista, the &lt;a class="wiki_link" href="/Algebraic%20number"&gt;real root&lt;/a&gt; of x^7-2x^2-1, at 340.6467 cents. &lt;br /&gt;
Algebraic generator: Calista, the &lt;a class="wiki_link" href="/Algebraic%20number"&gt;real root&lt;/a&gt; of x^7-2x^2-1, at 340.6467 cents. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 14/9&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 14/9&lt;br /&gt;
EDOs: 19, 27, 46, 249, 295&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/249edo"&gt;249&lt;/a&gt;, &lt;a class="wiki_link" href="/295edo"&gt;295&lt;/a&gt;&lt;br /&gt;
Badness: 0.0256&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0256&lt;br /&gt;
&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="Sensi-Sensor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Sensor&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Sensi-Sensor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Sensor&lt;/h2&gt;
Commas: 126/125, 245/243, 385/384&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 126/125, 245/243, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.294&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.294&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 -6|, &amp;lt;0 -7 -9 -13 15|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 -6|, &amp;lt;0 -7 -9 -13 15|]&lt;br /&gt;
EDOs: 8, 19, 27, 46, 111, 157&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 8, 19, 27, 46, 111, 157&lt;br /&gt;
Badness: 0.0379&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0379&lt;br /&gt;
&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="Sensi-Sensor-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="Sensi-Sensor-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h3&gt;
Commas: 91/90, 126/125, 169/168, 385/384&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 91/90, 126/125, 169/168, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.321&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.321&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 -6 10|, &amp;lt;0 -7 -9 -13 15 -10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 -6 10|, &amp;lt;0 -7 -9 -13 15 -10|]&lt;br /&gt;
EDOs: 8, 19, 27, 46, 157&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/8edo"&gt;8&lt;/a&gt;, &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46&lt;/a&gt;, &lt;a class="wiki_link" href="/157edo"&gt;157&lt;/a&gt;&lt;br /&gt;
Badness: 0.0256&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0256&lt;br /&gt;
&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="Sensi-Sensis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Sensis&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Sensi-Sensis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Sensis&lt;/h2&gt;
Commas: 56/55, 100/99, 245/243&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 56/55, 100/99, 245/243&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;:  443.962&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;:  443.962&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 6|, &amp;lt;0 -7 -9 -13 -4|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 6|, &amp;lt;0 -7 -9 -13 -4|]&lt;br /&gt;
EDOs: 19, 27, 73, 100&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/27edo"&gt;27&lt;/a&gt;, &lt;a class="wiki_link" href="/73edo"&gt;73&lt;/a&gt;, &lt;a class="wiki_link" href="/100edo"&gt;100&lt;/a&gt;&lt;br /&gt;
Badness: 0.0287&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0287&lt;br /&gt;
&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="Sensi-Sensis-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Sensi-Sensis-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h3&gt;
Commas: 56/55, 78/77, 91/90, 100/99&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 56/55, 78/77, 91/90, 100/99&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 443.945&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 443.945&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 6 10|, &amp;lt;0 -7 -9 -13 -4 -10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 6 10|, &amp;lt;0 -7 -9 -13 -4 -10|]&lt;br /&gt;
EDOs: 19, 27, 73, 100&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 19, 27, 73, 100&lt;br /&gt;
Badness: 0.0200&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0200&lt;br /&gt;
&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="Sensi-Sensus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Sensus&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Sensi-Sensus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Sensus&lt;/h2&gt;
Commas: 126/125, 176/175, 245/243&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 126/125, 176/175, 245/243&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.626&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.626&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 23|, &amp;lt;0 -7 -9 -13 -31|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 23|, &amp;lt;0 -7 -9 -13 -31|]&lt;br /&gt;
EDOs: 8, 19, 27, 46, 165&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 8, 19, 27, 46, 165&lt;br /&gt;
Badness: 0.0295&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0295&lt;br /&gt;
&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="Sensi-Sensus-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="Sensi-Sensus-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h3&gt;
Commas: 91/90, 126/125, 169/168, 352/351&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 91/90, 126/125, 169/168, 352/351&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.559&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~9/7 = 443.559&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11 23 10|, &amp;lt;0 -7 -9 -13 -31 -10|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 6 8 11 23 10|, &amp;lt;0 -7 -9 -13 -31 -10|]&lt;br /&gt;
EDOs: 8, 19, 27, 46, 303&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 8, 19, 27, 46, &lt;a class="wiki_link" href="/303edo"&gt;303&lt;/a&gt;&lt;br /&gt;
Badness: 0.0208&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0208&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Heinz"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Heinz&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Heinz"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Heinz&lt;/h1&gt;
Commas: 78732/78125, 1029/1024&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 78732/78125, 1029/1024&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~48/35 = 546.815&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~48/35 = 546.815&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 13 17 -1|, &amp;lt;0 -21 -27 7|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1|, &amp;lt;0 -21 -27 7|]&lt;br /&gt;
EDOs: 46, 103, 149&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, &lt;a class="wiki_link" href="/103edo"&gt;103&lt;/a&gt;, &lt;a class="wiki_link" href="/149edo"&gt;149&lt;/a&gt;&lt;br /&gt;
Badness: 0.1154&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.1154&lt;br /&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="Heinz-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Heinz-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;11-limit&lt;/h2&gt;
Commas: 385/384, 441/440, 88208/87500&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 385/384, 441/440, 88208/87500&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 547.631&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.631&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 13 17 -1 4|, &amp;lt;0 -21 -27 7 -1|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4|, &amp;lt;0 -21 -27 7 -1|]&lt;br /&gt;
EDOs: 46, 103, 149&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 103, 149&lt;br /&gt;
Badness: 0.0424&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0424&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Heinz-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Heinz-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;13-limit&lt;/h2&gt;
Commas: 351/350, 385/384, 441/440, 847/845&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 351/350, 385/384, 441/440, 847/845&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 547.629&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.629&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 13 17 -1 4 -5|, &amp;lt;0 -21 -27 7 -1 16|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4 -5|, &amp;lt;0 -21 -27 7 -1 16|]&lt;br /&gt;
EDOs: 46, 57, 103, 149&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 57, 103, 149&lt;br /&gt;
Badness: 0.0258&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0258&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Heinz-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;17-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Heinz-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;17-limit&lt;/h2&gt;
Commas: 273/272, 351/350, 385/384, 441/440, 847/845&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s: 273/272, 351/350, 385/384, 441/440, 847/845&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 547.635&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.635&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 13 17 -1 4 -5 3|, &amp;lt;0 -21 -27 7 -1 16 2|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4 -5 3|, &amp;lt;0 -21 -27 7 -1 16 2|]&lt;br /&gt;
EDOs: 46, 57, 103, 149&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, &lt;a class="wiki_link" href="/57edo"&gt;57&lt;/a&gt;, 103, 149&lt;br /&gt;
Badness: 0.0185&lt;br /&gt;
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0185&lt;br /&gt;
&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="Heinz-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;19-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Heinz-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;19-limit&lt;/h2&gt;
Commas: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968&lt;br /&gt;
&lt;a class="wiki_link" href="/Commas"&gt;Commas&lt;/a&gt;: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 547.614&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~11/8 = 547.614&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 13 17 -1 4 -5 3 -5|, &amp;lt;0 -21 -27 7 -1 16 2 17|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Map"&gt;Map&lt;/a&gt;: [&amp;lt;1 13 17 -1 4 -5 3 -5|, &amp;lt;0 -21 -27 7 -1 16 2 17|]&lt;br /&gt;
EDOs: 46, 57, 103, 252&lt;br /&gt;
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 46, 57, 103, &lt;a class="wiki_link" href="/252edo"&gt;252&lt;/a&gt;&lt;br /&gt;
Badness: 0.0190&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/Badness"&gt;Badness&lt;/a&gt;: 0.0190&lt;/body&gt;&lt;/html&gt;</pre></div>