Gravity family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 287767474 - Original comment: ** |
Wikispaces>phylingual **Imported revision 339373198 - 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:phylingual|phylingual]] and made on <tt>2012-05-25 00:17:19 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>339373198</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">[[toc|flat]] | <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]] | ||
=Gravity= | |||
=Gravity= | The gravity family tempers out [[graviton]], the 5-limit comma 129140163/128000000 = |-13 17 -6>. 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 -> Dicot -> Porcupine -> Tetracot -> Amity -> ..... Meantone continuum, whereby (81/80)^n = 25/24. | ||
The gravity family tempers out [[graviton]], the 5-limit comma 129140163/128000000 = |-13 17 -6>. 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 -> Dicot -> Porcupine -> Tetracot -> Amity continuum, whereby (81/80)^n = 25/24. | |||
Comma: 129140163/128000000 | Comma: 129140163/128000000 | ||
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Badness: 0.0932 | Badness: 0.0932 | ||
=Harry= | =Harry= | ||
Commas: 2401/2400, 19683/19600 | Commas: 2401/2400, 19683/19600 | ||
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Badness: 0.0341 | Badness: 0.0341 | ||
==11-limit== | ==11-limit== | ||
Commas: 243/242, 441/440, 4000/3993 | Commas: 243/242, 441/440, 4000/3993 | ||
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Badness: 0.0159 | Badness: 0.0159 | ||
==13-limit== | ==13-limit== | ||
Commas: 243/242, 351/350, 441/440, 676/675 | Commas: 243/242, 351/350, 441/440, 676/675 | ||
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Badness: 0.0130 | Badness: 0.0130 | ||
=Gravid= | =Gravid= | ||
Commas: 126/125, 1605632/1594323 | Commas: 126/125, 1605632/1594323 | ||
| Line 57: | Line 56: | ||
Badness: 0.1312 | Badness: 0.1312 | ||
==11-limit== | ==11-limit== | ||
Commas: 126/125, 243/242, 896/891 | Commas: 126/125, 243/242, 896/891 | ||
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Map: [<1 5 12 25 12|, <0 -6 -17 -39 -15|] | Map: [<1 5 12 25 12|, <0 -6 -17 -39 -15|] | ||
EDOs: 58, 123, 181ce, 239ce | EDOs: 58, 123, 181ce, 239ce | ||
Badness: 0.0473 | 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"><html><head><title>Gravity 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="#Gravity">Gravity</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Harry">Harry</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: --> | <a href="#Gravid">Gravid</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <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>Gravity 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="#Gravity">Gravity</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Harry">Harry</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: --> | <a href="#Gravid">Gravid</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule:19 --> | <!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Gravity"></a><!-- ws:end:WikiTextHeadingRule:0 -->Gravity</h1> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Gravity"></a><!-- ws:end:WikiTextHeadingRule:0 -->Gravity</h1> | The gravity family tempers out <a class="wiki_link" href="/graviton">graviton</a>, the 5-limit comma 129140163/128000000 = |-13 17 -6&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 -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity -&gt; ..... Meantone continuum, whereby (81/80)^n = 25/24.<br /> | ||
The gravity family tempers out <a class="wiki_link" href="/graviton">graviton</a>, the 5-limit comma 129140163/128000000 = |-13 17 -6&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 -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity continuum, whereby (81/80)^n = 25/24.<br /> | |||
<br /> | <br /> | ||
Comma: 129140163/128000000<br /> | Comma: 129140163/128000000<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Harry"></a><!-- ws:end:WikiTextHeadingRule:2 -->Harry</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Harry"></a><!-- ws:end:WikiTextHeadingRule:2 -->Harry</h1> | ||
Commas: 2401/2400, 19683/19600<br /> | Commas: 2401/2400, 19683/19600<br /> | ||
<br /> | <br /> | ||
POTE generator: ~21/20 = 83.156<br /> | POTE generator: ~21/20 = 83.156<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Harry-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Harry-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | ||
Commas: 243/242, 441/440, 4000/3993<br /> | Commas: 243/242, 441/440, 4000/3993<br /> | ||
<br /> | <br /> | ||
POTE generator: ~21/20 = 83.167<br /> | POTE generator: ~21/20 = 83.167<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Harry-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Harry-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
Commas: 243/242, 351/350, 441/440, 676/675<br /> | Commas: 243/242, 351/350, 441/440, 676/675<br /> | ||
<br /> | <br /> | ||
POTE generator: ~21/20 = 83.116<br /> | POTE generator: ~21/20 = 83.116<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Gravid"></a><!-- ws:end:WikiTextHeadingRule:8 -->Gravid</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Gravid"></a><!-- ws:end:WikiTextHeadingRule:8 -->Gravid</h1> | ||
Commas: 126/125, 1605632/1594323<br /> | Commas: 126/125, 1605632/1594323<br /> | ||
<br /> | <br /> | ||
POTE generator: ~27/20 = 517.140<br /> | POTE generator: ~27/20 = 517.140<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Gravid-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Gravid-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit</h2> | ||
Commas: 126/125, 243/242, 896/891<br /> | Commas: 126/125, 243/242, 896/891<br /> | ||
<br /> | <br /> | ||
POTE generator: ~27/20 = 517.155<br /> | POTE generator: ~27/20 = 517.155<br /> | ||