Gravity family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 251255716 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 287767474 - 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>2011-09-06 14:07:45 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-20 15:59:01 UTC</tt>.<br>
: The original revision id was <tt>251255716</tt>.<br>
: The original revision id was <tt>287767474</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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EDOs: 58, 72, 130
EDOs: 58, 72, 130
Badness: 0.0130
Badness: 0.0130
=Gravid=
Commas: 126/125, 1605632/1594323
POTE generator: ~27/20 = 517.140
Map: [&lt;1 5 12 25|, &lt;0 -6 -17 -39|]
Wedgie: &lt;&lt;6 17 39 13 45 43||
EDOs: 58, 123, 181c
Badness: 0.1312
==11-limit==
Commas: 126/125, 243/242, 896/891
POTE generator: ~27/20 = 517.155
Map: [&lt;1 5 12 25 12|, &lt;0 -6 -17 -39 -15|]
EDOs: 58, 123, 181ce, 239ce
Badness: 0.0473


</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gravity family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:8:&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:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;a href="#Gravity"&gt;Gravity&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt; | &lt;a href="#Harry"&gt;Harry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;
<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;Gravity family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&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:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Gravity"&gt;Gravity&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Harry"&gt;Harry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Gravid"&gt;Gravid&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Gravity"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Gravity&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Gravity"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Gravity&lt;/h1&gt;
The gravity family tempers out &lt;a class="wiki_link" href="/graviton"&gt;graviton&lt;/a&gt;, the 5-limit comma 129140163/128000000 = |-13 17 -6&amp;gt;. The graviton equals (81/80)^4/(25/24), so that four 81/80 commas come to a chromatic semitone. The generator of gravity temperament is a grave fifth of 40/27, and hence the name. It is part of the Mavila -&amp;gt; Dicot -&amp;gt; Porcupine -&amp;gt; Tetracot -&amp;gt; Amity continuum, whereby (81/80)^n = 25/24.&lt;br /&gt;
The gravity family tempers out &lt;a class="wiki_link" href="/graviton"&gt;graviton&lt;/a&gt;, the 5-limit comma 129140163/128000000 = |-13 17 -6&amp;gt;. The graviton equals (81/80)^4/(25/24), so that four 81/80 commas come to a chromatic semitone. The generator of gravity temperament is a grave fifth of 40/27, and hence the name. It is part of the Mavila -&amp;gt; Dicot -&amp;gt; Porcupine -&amp;gt; Tetracot -&amp;gt; Amity continuum, whereby (81/80)^n = 25/24.&lt;br /&gt;
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Map: [&amp;lt;2 4 7 7 9 11|, &amp;lt;0 -6 -17 -10 -15 -26|]&lt;br /&gt;
Map: [&amp;lt;2 4 7 7 9 11|, &amp;lt;0 -6 -17 -10 -15 -26|]&lt;br /&gt;
EDOs: 58, 72, 130&lt;br /&gt;
EDOs: 58, 72, 130&lt;br /&gt;
Badness: 0.0130&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.0130&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Gravid"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Gravid&lt;/h1&gt;
Commas: 126/125, 1605632/1594323&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~27/20 = 517.140&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 12 25|, &amp;lt;0 -6 -17 -39|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;6 17 39 13 45 43||&lt;br /&gt;
EDOs: 58, 123, 181c&lt;br /&gt;
Badness: 0.1312&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Gravid-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;11-limit&lt;/h2&gt;
Commas: 126/125, 243/242, 896/891&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~27/20 = 517.155&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 12 25 12|, &amp;lt;0 -6 -17 -39 -15|]&lt;br /&gt;
EDOs: 58, 123, 181ce, 239ce&lt;br /&gt;
Badness: 0.0473&lt;/body&gt;&lt;/html&gt;</pre></div>