Subgroup temperaments: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 251260030 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 258599756 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-27 08:37:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>258599756</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">Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on [[Chromatic pairs]]. | <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">Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on [[Chromatic pairs]]. | ||
=2.3.7= | |||
==[[Slendric]]== | |||
Comma: 1029/1024 | |||
POTE generator: ~8/7 = 233.688 | |||
Map: [<1 1 3|, <0 3 -1|] | |||
EDOs: 5, 21, 26, 31, 36, 77, 113, 190 | |||
Badness: 0.00461 | |||
=2.5.7.11= | =2.5.7.11= | ||
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<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>Subgroup temperaments</title></head><body>Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on <a class="wiki_link" href="/Chromatic%20pairs">Chromatic pairs</a>.<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>Subgroup temperaments</title></head><body>Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on <a class="wiki_link" href="/Chromatic%20pairs">Chromatic pairs</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x2.3.7-Slendric"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Slendric">Slendric</a></h2> | |||
Comma: 1029/1024<br /> | |||
<br /> | |||
POTE generator: ~8/7 = 233.688<br /> | |||
<br /> | |||
Map: [&lt;1 1 3|, &lt;0 3 -1|]<br /> | |||
EDOs: 5, 21, 26, 31, 36, 77, 113, 190<br /> | |||
Badness: 0.00461<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule:4 -->2.5.7.11</h1> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x2.5.7.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:6 -->Larry</h2> | ||
Commas: 243/242, 4000/3993<br /> | Commas: 243/242, 4000/3993<br /> | ||
Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br /> | Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br /> | ||
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Badness: 0.0125<br /> | Badness: 0.0125<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:8 -->2.3.7.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:10 -->Ennea</h2> | ||
Commas: 41503/41472, 43923/43904<br /> | Commas: 41503/41472, 43923/43904<br /> | ||
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Badness: 0.00426<br /> | Badness: 0.00426<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:12 -->Supra</h2> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
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Badness: 0.00933<br /> | Badness: 0.00933<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:14 -->Skwares</h2> | ||
Commas: 99/98, 243/242<br /> | Commas: 99/98, 243/242<br /> | ||
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Badness: 0.0107<br /> | Badness: 0.0107<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x2.3.7.11-Hemif"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hemif</h2> | ||
Commas: 243/242, 896/891<br /> | Commas: 243/242, 896/891<br /> | ||
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Badness: 0.0109<br /> | Badness: 0.0109<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:18 -->2.9.7.11</h1> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:20 -->Machine</h2> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
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Badness: 0.00233<br /> | Badness: 0.00233<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:22 -->Apparatus</h2> | ||
Commas: 41503/41472, 322102/321489<br /> | Commas: 41503/41472, 322102/321489<br /> | ||
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Badness: 0.00263<br /> | Badness: 0.00263<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:24 -->Mechanism</h2> | ||
Commas: 896/891, 26411/26244<br /> | Commas: 896/891, 26411/26244<br /> | ||
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Revision as of 08:37, 27 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 2011-09-27 08:37:45 UTC.
- The original revision id was 258599756.
- 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:
Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on [[Chromatic pairs]]. =2.3.7= ==[[Slendric]]== Comma: 1029/1024 POTE generator: ~8/7 = 233.688 Map: [<1 1 3|, <0 3 -1|] EDOs: 5, 21, 26, 31, 36, 77, 113, 190 Badness: 0.00461 =2.5.7.11= ==Larry== Commas: 243/242, 4000/3993 Related temperaments: [[Gravity family#Gravity|gravity]], [[Gravity family#Harry|harry]] POTE generator: ~40/27 = 683.166 Map: [<1 5 12 12|, <0 -6 -17 -15|] EDOs: 7, 58, 65, 137, 202 Badness: 0.0125 =2.3.7.11= ==Ennea== Commas: 41503/41472, 43923/43904 POTE generator: ~99/98 = 17.6258 Sval map: [<9 0 11 24|, <0 2 2 1|] EDOs: 54, 63, 72, 135, 342, 477, 1089, 1566 Badness: 0.00426 ==Supra== Commas: 64/63, 99/98 [[POTE tuning|POTE generator]]: ~3/2 = 707.192 Sval map: [<1 0 6 13|, <0 1 -2 -6|] EDOs: 5, 12, 17, 39, 56 Badness: 0.00933 ==Skwares== Commas: 99/98, 243/242 POTE generator: ~9/7 = 425.244 Sval map: [<1 3 6 7|, <0 -4 -9 -10|] EDOs: 14, 17, 31, 48, 79, 127, 206 Badness: 0.0107 ==Hemif== Commas: 243/242, 896/891 POTE generator: ~11/9 = 351.535 Sval map: [<1 1 -1 2|, <0 2 13 5|] EDOs: 7, 17, 41, 58, 99 Badness: 0.0109 =2.9.7.11= ==Machine== Commas: 64/63, 99/98 [[POTE tuning|POTE generator]]: ~8/7 = 214.384 [[Smonzos and Svals|Sval map]]: [<1 0 6 13|, <0 1 -1 -3|] EDOs: 5, 6, 11, 17, 28 Badness: 0.00233 ==Apparatus== Commas: 41503/41472, 322102/321489 [[POTE tuning|POTE generator]]: ~77/72 = 115.570 [[Smonzos and Svals|Sval map]]: [<1 5 3 5|, <0 -19 -2 -16|] EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623 Badness: 0.00263 ==Mechanism== Commas: 896/891, 26411/26244 [[POTE tuning|POTE generator]]: ~9/7 = 438.465 [[Smonzos and Svals|Sval map]]: [<1 5 5 2|, <0 -5 -6 4|] EDOs: 8, 11, 30, 41, 52 Badness: 0.00439
Original HTML content:
<html><head><title>Subgroup temperaments</title></head><body>Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on <a class="wiki_link" href="/Chromatic%20pairs">Chromatic pairs</a>.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x2.3.7-Slendric"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Slendric">Slendric</a></h2> Comma: 1029/1024<br /> <br /> POTE generator: ~8/7 = 233.688<br /> <br /> Map: [<1 1 3|, <0 3 -1|]<br /> EDOs: 5, 21, 26, 31, 36, 77, 113, 190<br /> Badness: 0.00461<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule:4 -->2.5.7.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x2.5.7.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:6 -->Larry</h2> Commas: 243/242, 4000/3993<br /> Related temperaments: <a class="wiki_link" href="/Gravity%20family#Gravity">gravity</a>, <a class="wiki_link" href="/Gravity%20family#Harry">harry</a><br /> <br /> POTE generator: ~40/27 = 683.166<br /> <br /> Map: [<1 5 12 12|, <0 -6 -17 -15|]<br /> EDOs: 7, 58, 65, 137, 202<br /> Badness: 0.0125<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:8 -->2.3.7.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:10 -->Ennea</h2> Commas: 41503/41472, 43923/43904<br /> <br /> POTE generator: ~99/98 = 17.6258<br /> <br /> Sval map: [<9 0 11 24|, <0 2 2 1|]<br /> EDOs: 54, 63, 72, 135, 342, 477, 1089, 1566<br /> Badness: 0.00426<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:12 -->Supra</h2> Commas: 64/63, 99/98<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 707.192<br /> <br /> Sval map: [<1 0 6 13|, <0 1 -2 -6|]<br /> EDOs: 5, 12, 17, 39, 56<br /> Badness: 0.00933<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:14 -->Skwares</h2> Commas: 99/98, 243/242<br /> <br /> POTE generator: ~9/7 = 425.244<br /> <br /> Sval map: [<1 3 6 7|, <0 -4 -9 -10|]<br /> EDOs: 14, 17, 31, 48, 79, 127, 206<br /> Badness: 0.0107<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="x2.3.7.11-Hemif"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hemif</h2> Commas: 243/242, 896/891<br /> <br /> POTE generator: ~11/9 = 351.535<br /> <br /> Sval map: [<1 1 -1 2|, <0 2 13 5|]<br /> EDOs: 7, 17, 41, 58, 99<br /> Badness: 0.0109<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:18 -->2.9.7.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:20 -->Machine</h2> Commas: 64/63, 99/98<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 214.384<br /> <br /> <a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [<1 0 6 13|, <0 1 -1 -3|]<br /> EDOs: 5, 6, 11, 17, 28<br /> Badness: 0.00233<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:22 -->Apparatus</h2> Commas: 41503/41472, 322102/321489<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~77/72 = 115.570<br /> <br /> <a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [<1 5 3 5|, <0 -19 -2 -16|]<br /> EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623<br /> Badness: 0.00263<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:24 -->Mechanism</h2> Commas: 896/891, 26411/26244<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 438.465<br /> <br /> <a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [<1 5 5 2|, <0 -5 -6 4|]<br /> EDOs: 8, 11, 30, 41, 52<br /> Badness: 0.00439</body></html>