Starling family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 165423171 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 165435135 - Original comment: ** |
||
| 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>2010-09-26 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-26 05:51:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>165435135</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> | ||
| Line 36: | Line 36: | ||
Map: [<1 0 0 -1 -5|, <0 1 0 -2 -2|, <0 0 1 3 5|] | Map: [<1 0 0 -1 -5|, <0 1 0 -2 -2|, <0 0 1 3 5|] | ||
Generators: 2, 3, 5 | Generators: 2, 3, 5 | ||
Edos: 31, 46, 58, 89</pre></div> | Edos: 31, 46, 58, 89 | ||
===Thrasher=== | |||
Commas: 126/125, 100/99 | |||
11-limit minimax | |||
[|1 0 0 0 0>, |1 3/4 0 1/4 -3/8>, | |||
|1 1/2 0 1/2 -1/4>, |0 0 0 1 0>, | |||
|2 -1/2 0 1/2 1/4>] | |||
Eigenmonzos: 2, 8/7, 11/9 | |||
Lattice basis: 6/5 length 0.9089 5/4 length 1.2007 | |||
Angle(6/5, 5/4) = 98.8447 | |||
Map to lattice: [<0 1 0 -2 -2|, <0 1 1 1 0|] | |||
Map: [<1 0 0 -1 2|, <0 1 0 -2 -2|, <0 0 1 3 2|] | |||
Generators: 2, 3, 5 | |||
Edos: 12, 15, 19, 34</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 /> | ||
| Line 68: | Line 85: | ||
Map: [&lt;1 0 0 -1 -5|, &lt;0 1 0 -2 -2|, &lt;0 0 1 3 5|]<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 /> | Generators: 2, 3, 5<br /> | ||
Edos: 31, 46, 58, 89</body></html></pre></div> | Edos: 31, 46, 58, 89<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-11 limit children-Thrasher"></a><!-- ws:end:WikiTextHeadingRule:6 -->Thrasher</h3> | |||
Commas: 126/125, 100/99<br /> | |||
<br /> | |||
11-limit minimax<br /> | |||
[|1 0 0 0 0&gt;, |1 3/4 0 1/4 -3/8&gt;, <br /> | |||
|1 1/2 0 1/2 -1/4&gt;, |0 0 0 1 0&gt;, <br /> | |||
|2 -1/2 0 1/2 1/4&gt;]<br /> | |||
Eigenmonzos: 2, 8/7, 11/9<br /> | |||
<br /> | |||
Lattice basis: 6/5 length 0.9089 5/4 length 1.2007<br /> | |||
Angle(6/5, 5/4) = 98.8447<br /> | |||
Map to lattice: [&lt;0 1 0 -2 -2|, &lt;0 1 1 1 0|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -1 2|, &lt;0 1 0 -2 -2|, &lt;0 0 1 3 2|]<br /> | |||
Generators: 2, 3, 5<br /> | |||
Edos: 12, 15, 19, 34</body></html></pre></div> | |||