Sensipent family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 212006708 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 212007488 - Original comment: ** |
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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>2011-03-19 14: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-19 14:43:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>212007488</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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=Sensi | =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. | 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. | ||
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EDOs: 46, 103, 149 | EDOs: 46, 103, 149 | ||
Badness: 0.0424 | Badness: 0.0424 | ||
Badness:</pre></div> | |||
==13-limit== | |||
Commas: 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|] | |||
EDOs: 46, 103, 149 | |||
Badness: 0.0258 | |||
==17-limit==</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"><html><head><title>Sensipent family</title></head><body><!-- ws:start:WikiTextTocRule: | <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>Sensipent family</title></head><body><!-- ws:start:WikiTextTocRule:24:&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:24 --><!-- ws:start:WikiTextTocRule:25: --><a href="#Sensipent">Sensipent</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- 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: --> | <a href="#Heinz">Heinz</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:37 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensipent"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensipent</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Sensipent"></a><!-- ws:end:WikiTextHeadingRule:0 -->Sensipent</h1> | ||
Comma: 78732/78125<br /> | Comma: 78732/78125<br /> | ||
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<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Sensi | <!-- 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 13-limit 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 /> | 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. <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 /> | <br /> | ||
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Badness: 0.0256<br /> | Badness: 0.0256<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensi | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Sensi-Sensor"></a><!-- ws:end:WikiTextHeadingRule:4 -->Sensor</h2> | ||
Commas: 126/125, 245/243, 385/384<br /> | Commas: 126/125, 245/243, 385/384<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0379<br /> | Badness: 0.0379<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Sensi | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Sensi-Sensor-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h3> | ||
Commas: 91/90, 126/125, 169/168, 385/384<br /> | Commas: 91/90, 126/125, 169/168, 385/384<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0256<br /> | Badness: 0.0256<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Sensi | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Sensi-Sensis"></a><!-- ws:end:WikiTextHeadingRule:8 -->Sensis</h2> | ||
Commas: 56/55, 100/99, 245/243<br /> | Commas: 56/55, 100/99, 245/243<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0287<br /> | Badness: 0.0287<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Sensi | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Sensi-Sensis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h3> | ||
Commas: 56/55, 78/77, 91/90, 100/99<br /> | Commas: 56/55, 78/77, 91/90, 100/99<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0200<br /> | Badness: 0.0200<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Sensi | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Sensi-Sensus"></a><!-- ws:end:WikiTextHeadingRule:12 -->Sensus</h2> | ||
Commas: 126/125, 176/175, 245/243<br /> | Commas: 126/125, 176/175, 245/243<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0295<br /> | Badness: 0.0295<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Sensi | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Sensi-Sensus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3> | ||
Commas: 91/90, 126/125, 169/168, 352/351<br /> | Commas: 91/90, 126/125, 169/168, 352/351<br /> | ||
<br /> | <br /> | ||
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EDOs: 46, 103, 149<br /> | EDOs: 46, 103, 149<br /> | ||
Badness: 0.0424<br /> | Badness: 0.0424<br /> | ||
Badness:</body></html></pre></div> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Heinz-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2> | |||
Commas: 351/350, 385/384, 441/440, 847/845<br /> | |||
<br /> | |||
POTE generator: ~11/8 = 547.629<br /> | |||
<br /> | |||
Map: [&lt;1 13 17 -1 4 -5|, &lt;0 -21 -27 7 -1 16|]<br /> | |||
EDOs: 46, 103, 149<br /> | |||
Badness: 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> | |||
</body></html></pre></div> | |||