Meantone family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 203591192 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 203960604 - 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>2011-02- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-22 09:22:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>203960604</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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Badness: 0.0137 | Badness: 0.0137 | ||
== | ==Unidecimal meantone== | ||
Commas: 81/80, 126/125, 99/98 | Commas: 81/80, 126/125, 99/98 | ||
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Badness: 0.0170 | Badness: 0.0170 | ||
==Meanpop== | |||
Commas: 81/80, 126/125, 385/384 | Commas: 81/80, 126/125, 385/384 | ||
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EDOs: 12, 19, 31, 81, 112 | EDOs: 12, 19, 31, 81, 112 | ||
Badness: 0.0215 | Badness: 0.0215 | ||
===Tridecimal meantone=== | |||
Commas: 66/65, 81/80, 99/98, 105/104 | |||
POTE generator: ~3/2 = 696.642 | |||
Map: Map: [<1 0 -4 -13 -25 -20|, <0 1 4 10 18 15|] | |||
EDOs: 12, 19, 31, 267, 298 | |||
Badness: 0.0180 | |||
==Flattone== | ==Flattone== | ||
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Badness: 0.0137<br /> | Badness: 0.0137<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Unidecimal meantone"></a><!-- ws:end:WikiTextHeadingRule:4 -->Unidecimal meantone</h2> | ||
Commas: 81/80, 126/125, 99/98<br /> | Commas: 81/80, 126/125, 99/98<br /> | ||
<br /> | <br /> | ||
| Line 302: | Line 311: | ||
Badness: 0.0170<br /> | Badness: 0.0170<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Meanpop"></a><!-- ws:end:WikiTextHeadingRule:6 -->Meanpop</h2> | ||
Commas: 81/80, 126/125, 385/384<br /> | Commas: 81/80, 126/125, 385/384<br /> | ||
<br /> | <br /> | ||
| Line 319: | Line 328: | ||
Badness: 0.0215<br /> | Badness: 0.0215<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id=" | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-Meanpop-Tridecimal meantone"></a><!-- ws:end:WikiTextHeadingRule:8 -->Tridecimal meantone</h3> | ||
Commas: 66/65, 81/80, 99/98, 105/104<br /> | |||
<br /> | |||
POTE generator: ~3/2 = 696.642<br /> | |||
<br /> | |||
Map: Map: [&lt;1 0 -4 -13 -25 -20|, &lt;0 1 4 10 18 15|]<br /> | |||
EDOs: 12, 19, 31, 267, 298<br /> | |||
Badness: 0.0180<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Flattone"></a><!-- ws:end:WikiTextHeadingRule:10 -->Flattone</h2> | |||
Commas: 81/80, 525/512<br /> | Commas: 81/80, 525/512<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0386<br /> | Badness: 0.0386<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Dominant"></a><!-- ws:end:WikiTextHeadingRule:12 -->Dominant</h2> | ||
Commas: 36/35, 64/63<br /> | Commas: 36/35, 64/63<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0207<br /> | Badness: 0.0207<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x-Sharptone"></a><!-- ws:end:WikiTextHeadingRule:14 -->Sharptone</h2> | ||
Commas: 21/20, 28/27<br /> | Commas: 21/20, 28/27<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0248<br /> | Badness: 0.0248<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x-Injera"></a><!-- ws:end:WikiTextHeadingRule:16 -->Injera</h2> | ||
Commas: 50/49, 81/80<br /> | Commas: 50/49, 81/80<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0311<br /> | Badness: 0.0311<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x-Godzilla"></a><!-- ws:end:WikiTextHeadingRule:18 -->Godzilla</h2> | ||
Commas: 49/48, 81/80<br /> | Commas: 49/48, 81/80<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0267<br /> | Badness: 0.0267<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x-Mohajira"></a><!-- ws:end:WikiTextHeadingRule:20 -->Mohajira</h2> | ||
Commas: 81/80, 6144/6125<br /> | Commas: 81/80, 6144/6125<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0557<br /> | Badness: 0.0557<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="x-Mohajira-11-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->11-limit</h3> | ||
Commas: 81/80, 121/120, 176/175<br /> | Commas: 81/80, 121/120, 176/175<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0261<br /> | Badness: 0.0261<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x-Mothra"></a><!-- ws:end:WikiTextHeadingRule:24 -->Mothra</h2> | ||
Commas: 81/80, 1029/1024<br /> | Commas: 81/80, 1029/1024<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0371<br /> | Badness: 0.0371<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="x-Mothra-11-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->11-limit</h3> | ||
Commas: 81/80, 99/98, 385/384<br /> | Commas: 81/80, 99/98, 385/384<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0256<br /> | Badness: 0.0256<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x-Squares"></a><!-- ws:end:WikiTextHeadingRule:28 -->Squares</h2> | ||
Commas: 81/80, 2401/2400<br /> | Commas: 81/80, 2401/2400<br /> | ||
<br /> | <br /> | ||
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Music:<br /> | Music:<br /> | ||
By Chris Vaisvil<br /> | By Chris Vaisvil<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:327:http://tinyurl.com/25kv7cq --><a class="wiki_link_ext" href="http://tinyurl.com/25kv7cq" rel="nofollow">http://tinyurl.com/25kv7cq</a><!-- ws:end:WikiTextUrlRule:327 --><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:328:http://tinyurl.com/24cbxse --><a class="wiki_link_ext" href="http://tinyurl.com/24cbxse" rel="nofollow">http://tinyurl.com/24cbxse</a><!-- ws:end:WikiTextUrlRule:328 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="x-Squares-11-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->11-limit</h3> | ||
Commas: 81/80, 385/384, 1375/1372<br /> | Commas: 81/80, 385/384, 1375/1372<br /> | ||
<br /> | <br /> | ||
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Badness: 0.0568<br /> | Badness: 0.0568<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="x-Liese"></a><!-- ws:end:WikiTextHeadingRule:32 -->Liese</h2> | ||
Commas: 81/80, 686/675<br /> | Commas: 81/80, 686/675<br /> | ||
<br /> | <br /> | ||