Sensipent family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 302855630 - Original comment: ** |
Wikispaces>Sarzadoce **Imported revision 314130236 - 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: | : This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2012-03-23 20:10:43 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>314130236</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | <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;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | ||
=Sensipent= | =Sensipent= | ||
[[Comma]]: 78732/78125 = |2 9 -7> | [[Comma]]: 78732/78125 = |2 9 -7> | ||
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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 the size 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. The name "sensi" is a play on the words "semi-" and "sixth." | ||
[[Comma|Commas]]: 126/125, 245/243 | [[Comma|Commas]]: 126/125, 245/243 | ||
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[[Map]]: [<1 6 8 11 23|, <0 -7 -9 -13 -31|] | [[Map]]: [<1 6 8 11 23|, <0 -7 -9 -13 -31|] | ||
[[EDO]]s: 46, 119c, 165c | [[EDO]]s: 46, 119c, 165c | ||
[[Badness]]: 0.0295 | [[Badness]]: 0.0295 | ||
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See [[Chords of sensus]] for a listing of chords. | See [[Chords of sensus]] for a listing of chords. | ||
=Hemisensi= | =Hemisensi= | ||
Commas: 126/125, 243/242, 245/242 | Commas: 126/125, 243/242, 245/242 | ||
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Badness: 0.0487 | Badness: 0.0487 | ||
=Sensei= | =Sensei= | ||
Commas: 225/224, 78732/78125 | Commas: 225/224, 78732/78125 | ||
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[[Map]]: [<1 13 17 -1 4 -5 3 -5|, <0 -21 -27 7 -1 16 2 17|] | [[Map]]: [<1 13 17 -1 4 -5 3 -5|, <0 -21 -27 7 -1 16 2 17|] | ||
[[EDO]]s: 46, 103h, 149h, 252efh | [[EDO]]s: 46, 103h, 149h, 252efh | ||
[[Badness]]: 0.0190 | [[Badness]]: 0.0190</pre></div> | ||
</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:30:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 1em;"><a href="#Sensipent">Sensipent</a></div> | <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:30:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 1em;"><a href="#Sensipent">Sensipent</a></div> | ||
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<!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 2em;"><a href="#Heinz-19-limit">19-limit</a></div> | <!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 2em;"><a href="#Heinz-19-limit">19-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --></div> | <!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --></div> | ||
<!-- ws:end:WikiTextTocRule:46 --> | <!-- ws:end:WikiTextTocRule:46 --><!-- 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> | |||
<a class="wiki_link" href="/Comma">Comma</a>: 78732/78125 = |2 9 -7&gt;<br /> | <a class="wiki_link" href="/Comma">Comma</a>: 78732/78125 = |2 9 -7&gt;<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:2 -->Sensi</h1> | <!-- 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 /> | 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 the size 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. The name &quot;sensi&quot; is a play on the words &quot;semi-&quot; and &quot;sixth.&quot;<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 126/125, 245/243<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 126/125, 245/243<br /> | ||
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<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="/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: 46, 119c, 165c <br /> | <a class="wiki_link" href="/EDO">EDO</a>s: 46, 119c, 165c<br /> | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0295<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0295<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hemisensi"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hemisensi</h1> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hemisensi"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hemisensi</h1> | ||
Commas: 126/125, 243/242, 245/242<br /> | Commas: 126/125, 243/242, 245/242<br /> | ||
<br /> | <br /> | ||
POTE generator: ~25/22 = 221.605<br /> | POTE generator: ~25/22 = 221.605<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Sensei"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sensei</h1> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Sensei"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sensei</h1> | ||
Commas: 225/224, 78732/78125<br /> | Commas: 225/224, 78732/78125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~125/81 = 757.245<br /> | POTE generator: ~125/81 = 757.245<br /> | ||