Bug family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 191305922 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 298710832 - 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> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-05 21:16:34 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>298710832</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">The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or one step of [[9edo]]. The monzo for 27/25 is |0 3 -2>, the dual of which is <<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&5 temperament, and [[14edo]] 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. | <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|flat]] | ||
The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or one step of [[9edo]]. The monzo for 27/25 is |0 3 -2>, the dual of which is <<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&5 temperament, and [[14edo]] 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. | |||
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 [[Ragismic microtemperaments|ennealimmal]] tempering is, we can reconstruct 7-limit JI. | 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 [[Ragismic microtemperaments|ennealimmal]] tempering is, we can reconstruct 7-limit JI. | ||
=Bug= | |||
Comma: 27/25 | Comma: 27/25 | ||
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Badness: 0.0328 | Badness: 0.0328 | ||
=Beep= | |||
Commas: 21/20, 27/25 | Commas: 21/20, 27/25 | ||
| Line 29: | Line 31: | ||
Badness: 0.0186 | Badness: 0.0186 | ||
==Pentoid== | |||
Commas: 21/20, 27/25, 99/98 | Commas: 21/20, 27/25, 99/98 | ||
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EDOs: 4, 5, 9, 50, 59 | EDOs: 4, 5, 9, 50, 59 | ||
Badness: 0.0226 | Badness: 0.0226 | ||
=Mite= | |||
Commas: 27/25, 28/25 | |||
POTE generator: ~6/5 = 240.712 | |||
Map: [<1 0 0 -2|, <0 2 3 6|] | |||
Wedgie: <<2 3 6 0 4 6|| | |||
EDOs: 1cdd, 5 | |||
Badness: 0.0548 | |||
</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>Bug family</title></head><body>The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or 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 /> | <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:8:&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:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Bug">Bug</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <a href="#Beep">Beep</a><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Mite">Mite</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | ||
<!-- ws:end:WikiTextTocRule:13 --><br /> | |||
The 5-limit parent of the bug family is bug, a temperament of sorts which tempers out 27/25, the large limma, or 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 /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Bug"></a><!-- ws:end:WikiTextHeadingRule:0 -->Bug</h1> | ||
Comma: 27/25<br /> | Comma: 27/25<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0328<br /> | Badness: 0.0328<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Beep"></a><!-- ws:end:WikiTextHeadingRule:2 -->Beep</h1> | ||
Commas: 21/20, 27/25<br /> | Commas: 21/20, 27/25<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0186<br /> | Badness: 0.0186<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Beep-Pentoid"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentoid</h2> | ||
Commas: 21/20, 27/25, 99/98<br /> | Commas: 21/20, 27/25, 99/98<br /> | ||
<br /> | <br /> | ||
| Line 69: | Line 84: | ||
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 /> | ||
EDOs: 4, 5, 9, 50, 59<br /> | EDOs: 4, 5, 9, 50, 59<br /> | ||
Badness: 0.0226</body></html></pre></div> | Badness: 0.0226<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Mite"></a><!-- ws:end:WikiTextHeadingRule:6 -->Mite</h1> | |||
Commas: 27/25, 28/25<br /> | |||
<br /> | |||
POTE generator: ~6/5 = 240.712<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -2|, &lt;0 2 3 6|]<br /> | |||
Wedgie: &lt;&lt;2 3 6 0 4 6||<br /> | |||
EDOs: 1cdd, 5<br /> | |||
Badness: 0.0548</body></html></pre></div> | |||