Bug family: Difference between revisions
Wikispaces>phylingual **Imported revision 320340942 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 323899832 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-04-22 15:46:19 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>323899832</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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Commas: 21/20, 27/25 | Commas: 21/20, 27/25 | ||
[[POTE tuning|POTE temperament]]: 263.395 | [[POTE tuning|POTE temperament]]: ~6/5 = 263.395 | ||
Map: [<1 0 0 2|, <0 2 3 1|] | Map: [<1 0 0 2|, <0 2 3 1|] | ||
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Commas: 21/20, 27/25, 99/98 | Commas: 21/20, 27/25, 99/98 | ||
[[POTE tuning|POTE temperament]]: 264.312 | [[POTE tuning|POTE temperament]]: ~6/5 = 264.312 | ||
Map: [<1 0 0 2 5|, <0 2 3 1 -2|] | Map: [<1 0 0 2 5|, <0 2 3 1 -2|] | ||
EDOs: 4, 5, 9, 50, 59 | EDOs: 4, 5, 9, 50, 59 | ||
Badness: 0.0226 | Badness: 0.0226 | ||
==13-limit== | |||
Commas: 21/20, 26/25, 27/25, 33/32 | |||
POTE generator: ~6/5 = 263.935 | |||
Map: [<1 0 0 2 5 -1|, <0 2 3 1 -2 6|] | |||
EDOs: 5,9, 32bcde, 41bcdef, 50bcdef | |||
Badness: 0.0212 | |||
==Pento== | ==Pento== | ||
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Badness: 0.0548</pre></div> | Badness: 0.0548</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>Bug 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>Bug family</title></head><body><!-- ws:start:WikiTextTocRule:12:&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:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Bug">Bug</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Beep">Beep</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Mite">Mite</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:19 -->The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or approximately one step of <a class="wiki_link" href="/9edo">9edo</a>. The monzo for 27/25 is |0 3 -2&gt;, the dual of which is &lt;&lt;2 3 0||. The generator for bug is 5/3, two of which give the 3, and three of which give the 5. Bug may be described as the 4&amp;5 temperament, and <a class="wiki_link" href="/14edo">14edo</a> is a good bug tuning, though wide latitude in these matters is possible. 4, 5, or 9 note MOS are a place to start with it.<br /> | ||
<br /> | <br /> | ||
Bug has a 7-limit extension, beep, via the normal comma list [27/25, 36/35] which can also be obtained by adding 21/20. Beep has the curious property that if we know what the beep tempering is, and we know what the <a class="wiki_link" href="/Ragismic%20microtemperaments">ennealimmal</a> tempering is, we can reconstruct 7-limit JI.<br /> | Bug has a 7-limit extension, beep, via the normal comma list [27/25, 36/35] which can also be obtained by adding 21/20. Beep has the curious property that if we know what the beep tempering is, and we know what the <a class="wiki_link" href="/Ragismic%20microtemperaments">ennealimmal</a> tempering is, we can reconstruct 7-limit JI.<br /> | ||
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Commas: 21/20, 27/25<br /> | Commas: 21/20, 27/25<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.395<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~6/5 = 263.395<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 2|, &lt;0 2 3 1|]<br /> | Map: [&lt;1 0 0 2|, &lt;0 2 3 1|]<br /> | ||
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Commas: 21/20, 27/25, 99/98<br /> | Commas: 21/20, 27/25, 99/98<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 264.312<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~6/5 = 264.312<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 2 5|, &lt;0 2 3 1 -2|]<br /> | Map: [&lt;1 0 0 2 5|, &lt;0 2 3 1 -2|]<br /> | ||
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Badness: 0.0226<br /> | Badness: 0.0226<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Beep-Pento"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Beep-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
Commas: 21/20, 26/25, 27/25, 33/32<br /> | |||
<br /> | |||
POTE generator: ~6/5 = 263.935<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 2 5 -1|, &lt;0 2 3 1 -2 6|]<br /> | |||
EDOs: 5,9, 32bcde, 41bcdef, 50bcdef<br /> | |||
Badness: 0.0212<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Beep-Pento"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pento</h2> | |||
Commas: 21/20, 27/25, 45/44<br /> | Commas: 21/20, 27/25, 45/44<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0228<br /> | Badness: 0.0228<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Mite"></a><!-- ws:end:WikiTextHeadingRule:10 -->Mite</h1> | ||
Commas: 27/25, 28/25<br /> | Commas: 27/25, 28/25<br /> | ||
<br /> | <br /> | ||