Bug family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2012-03-~~10 18~~:16:41 UTC</tt>.<br>

: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-04-13 20:13:24 UTC</tt>.<br>

: The original revision id was <tt>~~309696428~~</tt>.<br>

: The original revision id was <tt>320340942</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>

<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">[[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 approximately 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.

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=

Comma: 27/25

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Line 20:

Badness: 0.0328

=Beep=

Commas: 21/20, 27/25

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Line 30:

Badness: 0.0186

==Pentoid==

Commas: 21/20, 27/25, 99/98

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Badness: 0.0226

==Pento==

Commas: 21/20, 27/25, 45/44

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Badness: 0.0228

=Mite=

Commas: 27/25, 28/25

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Wedgie: <<2 3 6 0 4 6||

EDOs: 1cdd, 5

Badness: 0.0548

Badness: 0.0548</pre></div>

</pre></div>

<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><a href="#Bug">Bug</a> | <a href="#Beep">Beep</a> | <a href="#Mite">Mite</a>

~~<br />~~

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 />

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 />

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 />

<h1 id="toc0"><a name="Bug"></a>Bug</h1>

Comma: 27/25<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 260.388<br />

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<br />

<h1 id="toc1"><a name="Beep"></a>Beep</h1>

Commas: 21/20, 27/25<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.395<br />

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<br />

<h2 id="toc2"><a name="Beep-Pentoid"></a>Pentoid</h2>

Commas: 21/20, 27/25, 99/98<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 264.312<br />

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<br />

<h2 id="toc3"><a name="Beep-Pento"></a>Pento</h2>

Commas: 21/20, 27/25, 45/44<br />

<br />

POTE generator: ~6/5 = 265.847<br />

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<br />

<h1 id="toc4"><a name="Mite"></a>Mite</h1>

Commas: 27/25, 28/25<br />

<br />

POTE generator: ~6/5 = 240.712<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-03-10 18:16:41 UTC</tt>.<br>
+: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-04-13 20:13:24 UTC</tt>.<br>
-: The original revision id was <tt>309696428</tt>.<br>
+: The original revision id was <tt>320340942</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>
 <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">[[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 approximately one step of [[9edo]]. 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 [[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.
-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&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 [[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=
 Comma: 27/25
@@ Line 21: / Line 20: @@
 Badness: 0.0328
 =Beep=
 Commas: 21/20, 27/25
@@ Line 31: / Line 30: @@
 Badness: 0.0186
 ==Pentoid==
 Commas: 21/20, 27/25, 99/98
@@ Line 40: / Line 39: @@
 Badness: 0.0226
 ==Pento==
 Commas: 21/20, 27/25, 45/44
@@ Line 49: / Line 48: @@
 Badness: 0.0228
 =Mite=
 Commas: 27/25, 28/25
@@ Line 57: / Line 56: @@
 Wedgie: &lt;&lt;2 3 6 0 4 6||
 EDOs: 1cdd, 5
-Badness: 0.0548
+Badness: 0.0548</pre></div>
-</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Bug family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:10:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;a href="#Bug"&gt;Bug&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Beep"&gt;Beep&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt; | &lt;a href="#Mite"&gt;Mite&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:16 --&gt;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 &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;. The monzo for 27/25 is |0 3 -2&amp;gt;, the dual of which is &amp;lt;&amp;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;amp;5 temperament, and &lt;a class="wiki_link" href="/14edo"&gt;14edo&lt;/a&gt; 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.&lt;br /&gt;
-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 &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt;. The monzo for 27/25 is |0 3 -2&amp;gt;, the dual of which is &amp;lt;&amp;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;amp;5 temperament, and &lt;a class="wiki_link" href="/14edo"&gt;14edo&lt;/a&gt; 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.&lt;br /&gt;
 &lt;br /&gt;
 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 &lt;a class="wiki_link" href="/Ragismic%20microtemperaments"&gt;ennealimmal&lt;/a&gt; tempering is, we can reconstruct 7-limit JI.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Bug"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Bug&lt;/h1&gt;
-Comma: 27/25&lt;br /&gt;
+ Comma: 27/25&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE temperament&lt;/a&gt;: 260.388&lt;br /&gt;
@@ Line 76: / Line 73: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Beep"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Beep&lt;/h1&gt;
-Commas: 21/20, 27/25&lt;br /&gt;
+ Commas: 21/20, 27/25&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE temperament&lt;/a&gt;: 263.395&lt;br /&gt;
@@ Line 86: / Line 83: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Beep-Pentoid"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pentoid&lt;/h2&gt;
-Commas: 21/20, 27/25, 99/98&lt;br /&gt;
+ Commas: 21/20, 27/25, 99/98&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE temperament&lt;/a&gt;: 264.312&lt;br /&gt;
@@ Line 95: / Line 92: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Beep-Pento"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Pento&lt;/h2&gt;
-Commas: 21/20, 27/25, 45/44&lt;br /&gt;
+ Commas: 21/20, 27/25, 45/44&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~6/5 = 265.847&lt;br /&gt;
@@ Line 104: / Line 101: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Mite"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Mite&lt;/h1&gt;
-Commas: 27/25, 28/25&lt;br /&gt;
+ Commas: 27/25, 28/25&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~6/5 = 240.712&lt;br /&gt;