Starling family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 160319825 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 165407325 - 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>2010-09- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-25 21:44:35 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>165407325</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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Angle(6/5, 5/4) = 100.364 degrees | Angle(6/5, 5/4) = 100.364 degrees | ||
Map to lattice: [<0 1 0 -2|, <0 1 1 1|] | Map to lattice: [<0 1 0 -2|, <0 1 1 1|] | ||
EDOs 77, 108, 185</pre></div> | EDOs 77, 108, 185 | ||
==11 limit children== | |||
Commas: 126/125, 176/175 | |||
7 and 9 limit minimax | |||
[|1 0 0 0 0>, |0 1 0 0 0>, |1/3 2/3 0 1/3 0>, | |||
|0 0 0 1 0>, |-10/3 4/3 0 5/3 0>] | |||
Eigenmonzos: 2, 7/6, 4/3 | |||
Lattice basis 5/4 length 0.8576 6/5 length 0.9314 | |||
Angle(5/4, 6/5) = 74.6239 degrees | |||
Map to lattice: [<0 1 1 1 3|, <0 1 0 -2 -2|] | |||
Map: [<1 0 0 -1 -5|, <0 1 0 -2 -2|, <0 0 1 3 5|] | |||
Generators: 2, 3, 5 | |||
Edos: 58, 89</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>Starling family</title></head><body>The head of the starling family is starling, which tempers out 126/125, the starling comma or septimal semicomma. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/77edo">77edo</a>. Other possible tunings are <a class="wiki_link" href="/108edo">108edo</a> and <a class="wiki_link" href="/185edo">185edo</a>. <br /> | <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>Starling family</title></head><body>The head of the starling family is starling, which tempers out 126/125, the starling comma or septimal semicomma. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/77edo">77edo</a>. Other possible tunings are <a class="wiki_link" href="/108edo">108edo</a> and <a class="wiki_link" href="/185edo">185edo</a>. <br /> | ||
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Angle(6/5, 5/4) = 100.364 degrees<br /> | Angle(6/5, 5/4) = 100.364 degrees<br /> | ||
Map to lattice: [&lt;0 1 0 -2|, &lt;0 1 1 1|]<br /> | Map to lattice: [&lt;0 1 0 -2|, &lt;0 1 1 1|]<br /> | ||
EDOs 77, 108, 185</body></html></pre></div> | EDOs 77, 108, 185<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11 limit children</h2> | |||
Commas: 126/125, 176/175<br /> | |||
<br /> | |||
7 and 9 limit minimax<br /> | |||
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |1/3 2/3 0 1/3 0&gt;, <br /> | |||
|0 0 0 1 0&gt;, |-10/3 4/3 0 5/3 0&gt;]<br /> | |||
Eigenmonzos: 2, 7/6, 4/3<br /> | |||
<br /> | |||
Lattice basis 5/4 length 0.8576 6/5 length 0.9314<br /> | |||
Angle(5/4, 6/5) = 74.6239 degrees<br /> | |||
Map to lattice: [&lt;0 1 1 1 3|, &lt;0 1 0 -2 -2|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -1 -5|, &lt;0 1 0 -2 -2|, &lt;0 0 1 3 5|]<br /> | |||
Generators: 2, 3, 5<br /> | |||
Edos: 58, 89</body></html></pre></div> | |||