Gravity family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 251253910 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 251254808 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-06 14:05:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>251254808</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 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. | <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 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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</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>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 /> | <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:6:&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:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Bigravity">Bigravity</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | ||
<!-- ws:end:WikiTextTocRule:10 --><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 /> | ||
Revision as of 14:05, 6 September 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-09-06 14:05:07 UTC.
- The original revision id was 251254808.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] 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 POTE generator: ~40/27 = 683.156 Map: [<1 5 12|, <0 -6 -17|] EDOs: [[7edo|7]], [[58edo|58]], [[65edo|65]], [[137edo|137]], [[202edo|202]], [[267edo|267]], [[469edo|469]] Badness: 0.0932 =Bigravity= Commas: 2401/2400, 19683/19600 POTE generator: ~21/20 = 83.156 Map: [<2 4 7 7|, <0 -6 -17 -10|] Wedgie: <<12 34 20 26 -2 -49|| EDOs: 58, 72, 130, 202, 534 Badness: 0.0341 ==11-limit== Commas: 243/242, 441/440, 4000/3993 POTE generator: ~21/20 = 83.167 Map: [<2 4 7 7 9|, <0 -6 -17 -10 -15|] EDOs: 58, 72, 130, 202 Badness: 0.0159 ==13-limit== Commas: 243/242, 351/350, 441/440, 676/675 POTE generator: ~21/20 = 83.116 Map: [<2 4 7 7 9 11|, <0 -6 -17 -10 -15 -26|] EDOs: 58, 72, 130 Badness: 0.0130
Original HTML content:
<html><head><title>Gravity family</title></head><body><!-- ws:start:WikiTextTocRule:6:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Bigravity">Bigravity</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> <!-- ws:end:WikiTextTocRule:10 --><br /> The gravity family tempers out <a class="wiki_link" href="/graviton">graviton</a>, 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.<br /> <br /> Comma: 129140163/128000000<br /> <br /> POTE generator: ~40/27 = 683.156<br /> <br /> Map: [<1 5 12|, <0 -6 -17|]<br /> EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/65edo">65</a>, <a class="wiki_link" href="/137edo">137</a>, <a class="wiki_link" href="/202edo">202</a>, <a class="wiki_link" href="/267edo">267</a>, <a class="wiki_link" href="/469edo">469</a><br /> Badness: 0.0932<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Bigravity"></a><!-- ws:end:WikiTextHeadingRule:0 -->Bigravity</h1> Commas: 2401/2400, 19683/19600<br /> <br /> POTE generator: ~21/20 = 83.156<br /> <br /> Map: [<2 4 7 7|, <0 -6 -17 -10|]<br /> Wedgie: <<12 34 20 26 -2 -49||<br /> EDOs: 58, 72, 130, 202, 534<br /> Badness: 0.0341<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Bigravity-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 243/242, 441/440, 4000/3993<br /> <br /> POTE generator: ~21/20 = 83.167<br /> <br /> Map: [<2 4 7 7 9|, <0 -6 -17 -10 -15|]<br /> EDOs: 58, 72, 130, 202<br /> Badness: 0.0159<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Bigravity-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> Commas: 243/242, 351/350, 441/440, 676/675<br /> <br /> POTE generator: ~21/20 = 83.116<br /> <br /> Map: [<2 4 7 7 9 11|, <0 -6 -17 -10 -15 -26|]<br /> EDOs: 58, 72, 130<br /> Badness: 0.0130</body></html>