Subgroup temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 354768988 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 356336484 - 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>2012- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-08-04 13:38:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>356336484</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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EDOs: 14, 29, 72, 101, 130, 159 | EDOs: 14, 29, 72, 101, 130, 159 | ||
[[Lp tuning#L2 tuning|L2 error]]: 0.6274 cents | [[Lp tuning#L2 tuning|L2 error]]: 0.6274 cents | ||
=2.3.7.11/5.13= | |||
==Hypnosis== | |||
Subgroup: 2.3.7.11/5.13 | |||
Commas: 169/168, 540/539, 729/728 | |||
Related temperament: [[Swetismic temperaments#Hypnos-13-limit|hypnos]], [[Hemifamity temperaments#Tricot-13-limit|tricot]] | |||
[[Gencom]]: [2 13/9; 169/168, 540/539, 729/728] | |||
Gencom map: [<1 0 -4 -3 4 0|, <0 3 13/2 11 -13/2 7|] | |||
Sval map: [<1 0 -3 8 0|, <0 3 11 -13 7|] | |||
EDOs: 17, 36, 118e, 125e, 161e, 197e | |||
[[Lp tuning#L2 tuning|L2 error]]: 1.317 | |||
</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>Subgroup temperaments</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>Subgroup temperaments</title></head><body><!-- ws:start:WikiTextTocRule:62:&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:62 --><!-- ws:start:WikiTextTocRule:63: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#x2.5.7.11">2.5.7.11</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --> | <a href="#x2.9.21">2.9.21</a><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --> | <a href="#x2.3.7/5.11/5.13/5">2.3.7/5.11/5.13/5</a><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --> | <a href="#x2.3.7.11/5.13">2.3.7.11/5.13</a><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | ||
< | <!-- ws:end:WikiTextTocRule:94 -->Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on <a class="wiki_link" href="/Chromatic%20pairs">Chromatic pairs</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | ||
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Sval map: [&lt;1 2 0 1 2|, &lt;0 -6 7 2 -9|]<br /> | Sval map: [&lt;1 2 0 1 2|, &lt;0 -6 7 2 -9|]<br /> | ||
EDOs: 14, 29, 72, 101, 130, 159<br /> | EDOs: 14, 29, 72, 101, 130, 159<br /> | ||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6274 cents</body></html></pre></div> | <a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 0.6274 cents<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:58:&lt;h1&gt; --><h1 id="toc29"><a name="x2.3.7.11/5.13"></a><!-- ws:end:WikiTextHeadingRule:58 -->2.3.7.11/5.13</h1> | |||
<!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="x2.3.7.11/5.13-Hypnosis"></a><!-- ws:end:WikiTextHeadingRule:60 -->Hypnosis</h2> | |||
<br /> | |||
Subgroup: 2.3.7.11/5.13<br /> | |||
Commas: 169/168, 540/539, 729/728<br /> | |||
Related temperament: <a class="wiki_link" href="/Swetismic%20temperaments#Hypnos-13-limit">hypnos</a>, <a class="wiki_link" href="/Hemifamity%20temperaments#Tricot-13-limit">tricot</a><br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/9; 169/168, 540/539, 729/728]<br /> | |||
Gencom map: [&lt;1 0 -4 -3 4 0|, &lt;0 3 13/2 11 -13/2 7|]<br /> | |||
<br /> | |||
Sval map: [&lt;1 0 -3 8 0|, &lt;0 3 11 -13 7|]<br /> | |||
EDOs: 17, 36, 118e, 125e, 161e, 197e<br /> | |||
<a class="wiki_link" href="/Lp%20tuning#L2 tuning">L2 error</a>: 1.317</body></html></pre></div> | |||