Sensipent family: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
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?**
Line 1: Line 1:
<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>
Line 9: Line 9:


=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
Line 34: Line 34:
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;
Line 166: Line 166:
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>

Revision as of 15:43, 25 March 2011

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2011-03-25 15:43:12 UTC.
The original revision id was 214067788.
The revision comment was: links added, does anybody know where (/if) the definition of Badness can be found in this wiki?

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]

=Sensipent=
[[Comma]]: 78732/78125

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

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


=Sensi=
Sensi tempers out 686/675, 245/243 and 4375/4374 in addition to 126/125, and can be described as the 19&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

7-limit minimax
[|1 0 0 0>, |1/13 0 0 7/13>, |5/13 0 0 9/13>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7

9-limit minimax
[|1 0 0 0>, |2/5 14/5 -7/5 0>, 
|4/5 18/5 -9/5 0>, |3/5 26/5 -13/5 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 9/5

[[POTE tuning|POTE generator]]: ~9/7 = 443.383
Algebraic generator: Calista, the [[Algebraic number|real root]] of x^7-2x^2-1, at 340.6467 cents. 

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

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

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

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

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

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

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

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

[[POTE tuning|POTE generator]]:  443.962

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

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

[[POTE tuning|POTE generator]]: 443.945

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[[Map]]: [<1 13 17 -1 4 -5 3 -5|, <0 -21 -27 7 -1 16 2 17|]
[[EDO]]s: 46, 57, 103, [[252edo|252]]
[[Badness]]: 0.0190

Original HTML content:

<html><head><title>Sensipent family</title></head><body><!-- ws:start:WikiTextTocRule:26:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><a href="#Sensipent">Sensipent</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Heinz">Heinz</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: -->
<!-- ws:end:WikiTextTocRule:40 --><br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensipent"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensipent</h1>
<a class="wiki_link" href="/Comma">Comma</a>: 78732/78125<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 162/125 =<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8|, &lt;0 -7 -9|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/65edo">65</a>, <a class="wiki_link" href="/539edo">539</a><br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:2 -->Sensi</h1>
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 <a class="wiki_link" href="/13-limit">13-limit</a> sensi tempers out 91/90. 22/17, in the middle, is even closer to the generator. <a class="wiki_link" href="/46edo">46edo</a> is an excellent sensi tuning, and MOS of size 11, 19 and 27 are available.<br />
<br />
<a class="wiki_link" href="/Comma">Commas</a>: 126/125, 245/243<br />
<br />
7-limit minimax<br />
[|1 0 0 0&gt;, |1/13 0 0 7/13&gt;, |5/13 0 0 9/13&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7<br />
<br />
9-limit minimax<br />
[|1 0 0 0&gt;, |2/5 14/5 -7/5 0&gt;, <br />
|4/5 18/5 -9/5 0&gt;, |3/5 26/5 -13/5 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 9/5<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 443.383<br />
Algebraic generator: Calista, the <a class="wiki_link" href="/Algebraic%20number">real root</a> of x^7-2x^2-1, at 340.6467 cents. <br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 14/9<br />
<a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/249edo">249</a>, <a class="wiki_link" href="/295edo">295</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0256<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensi-Sensor"></a><!-- ws:end:WikiTextHeadingRule:4 -->Sensor</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 126/125, 245/243, 385/384<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 443.294<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 -6|, &lt;0 -7 -9 -13 15|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 8, 19, 27, 46, 111, 157<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0379<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Sensi-Sensor-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h3>
<a class="wiki_link" href="/Comma">Comma</a>s: 91/90, 126/125, 169/168, 385/384<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 443.321<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 -6 10|, &lt;0 -7 -9 -13 15 -10|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/8edo">8</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/46edo">46</a>, <a class="wiki_link" href="/157edo">157</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0256<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Sensi-Sensis"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensis</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 56/55, 100/99, 245/243<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:  443.962<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 6|, &lt;0 -7 -9 -13 -4|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/27edo">27</a>, <a class="wiki_link" href="/73edo">73</a>, <a class="wiki_link" href="/100edo">100</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0287<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Sensi-Sensis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h3>
<a class="wiki_link" href="/Comma">Comma</a>s: 56/55, 78/77, 91/90, 100/99<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 443.945<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 19, 27, 73, 100<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0200<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Sensi-Sensus"></a><!-- ws:end:WikiTextHeadingRule:12 -->Sensus</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 126/125, 176/175, 245/243<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~9/7 = 443.626<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 23|, &lt;0 -7 -9 -13 -31|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 8, 19, 27, 46, 165<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0295<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Sensi-Sensus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3>
<a class="wiki_link" href="/Comma">Comma</a>s: 91/90, 126/125, 169/168, 352/351<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~9/7 = 443.559<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 6 8 11 23 10|, &lt;0 -7 -9 -13 -31 -10|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 8, 19, 27, 46, <a class="wiki_link" href="/303edo">303</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0208<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Heinz"></a><!-- ws:end:WikiTextHeadingRule:16 -->Heinz</h1>
<a class="wiki_link" href="/Comma">Comma</a>s: 78732/78125, 1029/1024<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~48/35 = 546.815<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1|, &lt;0 -21 -27 7|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 46, <a class="wiki_link" href="/103edo">103</a>, <a class="wiki_link" href="/149edo">149</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.1154<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Heinz-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 385/384, 441/440, 88208/87500<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.631<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4|, &lt;0 -21 -27 7 -1|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 46, 103, 149<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0424<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Heinz-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 351/350, 385/384, 441/440, 847/845<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.629<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 46, 57, 103, 149<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0258<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Heinz-17-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->17-limit</h2>
<a class="wiki_link" href="/Comma">Comma</a>s: 273/272, 351/350, 385/384, 441/440, 847/845<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.635<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4 -5 3|, &lt;0 -21 -27 7 -1 16 2|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 46, <a class="wiki_link" href="/57edo">57</a>, 103, 149<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0185<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Heinz-19-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->19-limit</h2>
<a class="wiki_link" href="/Commas">Commas</a>: 171/170, 209/208, 351/350, 385/384, 441/440, 969/968<br />
<br />
<a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~11/8 = 547.614<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 13 17 -1 4 -5 3 -5|, &lt;0 -21 -27 7 -1 16 2 17|]<br />
<a class="wiki_link" href="/EDO">EDO</a>s: 46, 57, 103, <a class="wiki_link" href="/252edo">252</a><br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0190</body></html>