Subgroup temperaments: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>genewardsmith **Imported revision 284055114 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 322353290 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-18 19:09:16 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>322353290</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> | ||
| Line 178: | Line 178: | ||
Sval map: [<1 0 2 -1|, <0 5 3 6|] | Sval map: [<1 0 2 -1|, <0 5 3 6|] | ||
EDOs: 8, 11, 30, 41, 93, 134c, 175c | EDOs: 8, 11, 30, 41, 93, 134c, 175c | ||
Badness: 0.00245</pre></div> | Badness: 0.00245 | ||
=2.9.21= | |||
==A-team== | |||
Commas: 1029/1024 | |||
POTE generator: ~21/16 = 467.756 | |||
Sval map: [<1 2 4|, <0 3 1|] | |||
EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c | |||
Badness: 0.000246 | |||
</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>Subgroup temperaments</title></head><body><!-- ws:start:WikiTextTocRule: | <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><!-- ws:start:WikiTextTocRule:52:&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:52 --><!-- ws:start:WikiTextTocRule:53: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#x2.5.7.11">2.5.7.11</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#x2.9.21">2.9.21</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:79 -->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="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7</h1> | ||
| Line 352: | Line 365: | ||
Sval map: [&lt;1 0 2 -1|, &lt;0 5 3 6|]<br /> | Sval map: [&lt;1 0 2 -1|, &lt;0 5 3 6|]<br /> | ||
EDOs: 8, 11, 30, 41, 93, 134c, 175c<br /> | EDOs: 8, 11, 30, 41, 93, 134c, 175c<br /> | ||
Badness: 0.00245</body></html></pre></div> | Badness: 0.00245<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="x2.9.21"></a><!-- ws:end:WikiTextHeadingRule:48 -->2.9.21</h1> | |||
<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="x2.9.21-A-team"></a><!-- ws:end:WikiTextHeadingRule:50 -->A-team</h2> | |||
Commas: 1029/1024<br /> | |||
<br /> | |||
POTE generator: ~21/16 = 467.756<br /> | |||
<br /> | |||
Sval map: [&lt;1 2 4|, &lt;0 3 1|]<br /> | |||
EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c<br /> | |||
Badness: 0.000246</body></html></pre></div> | |||
Revision as of 19:09, 18 April 2012
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 2012-04-18 19:09:16 UTC.
- The original revision id was 322353290.
- 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]] 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= ==[[Semiphore and Godzilla|Semiphore]]== Comma: 49/48 POTE generator: ~8/7~7/6 = 250.385 Map: [<1 2 3|, <0 -2 -1|] EDOs: 5, 19, 24 ==Archy== Archy can be thought of as "no-5's [[dominant]]" or "no-5's [[superpyth]]". The name comes from the fact that it tempers out 64/63, the Archytas comma. Comma: 64/63 POTE generator: ~4/3 = 490.678 Map: [<1 2 2|, <0 -1 2|] EDOs: 5, 12, 17, 22, 27, 137bc ==[[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 =2.3.11= ==Neutraltet== Neutraltet can be thought of as 2.3.11 version of either [[mohajira]] or [[maqamic]], and is the temperament optimizing the [[neutral tetrad]]. Comma: 243/242 POTE generator: ~11/9 = 350.525 Map: [<1 1 2|, <0 2 5|] EDOs: 7, 10, 17, 24, 41, 65, 89, 202, 291, 380 [[xenharmonic/neutraltet7|Seven note albitonic scale]] [[xenharmonic/neutraltet10|Ten note chromatic scale]] [[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]] =2.3.5.11= ==Porcupine== Commas: 55/54, 100/99 POTE generator: 164.078 Map: [<1 2 3 4|, <0 -3 -5 -4|] EDOs: 7, 15, 22, 37 ==Mohaha== Commas: 81/80, 121/120 POTE generator: 348.094 Map: [<1 1 0 2|, <0 2 8 5|] EDOs: 7, 10, 17, 24, 31 =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 =2.5.7.11= ==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 =2.9.7.11= ==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 =2.9.15.7.11.13= ==Stacks (aka 2magic)== Commas: 100/99, 105/104, 144/143, 196/195 POTE generator: ~9/7 = 438.977 Sval map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] EDOs: 11, 30, 41 Badness: 0.00602 ===2.9.15.7.11 stacks=== Commas: 100/99, 225/224, 245/243 POTE generator: ~9/7 =438.443 Sval map: [<1 0 2 -1 6|, <0 5 3 6 -4|] EDOs: 8, 11, 30, 41, 52 Badness: 0.00371 ===2.9.15.7 stacks=== Commas: 225/224, 245/243 POTE generator: ~9/7 = 438.850 Sval map: [<1 0 2 -1|, <0 5 3 6|] EDOs: 8, 11, 30, 41, 93, 134c, 175c Badness: 0.00245 =2.9.21= ==A-team== Commas: 1029/1024 POTE generator: ~21/16 = 467.756 Sval map: [<1 2 4|, <0 3 1|] EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c Badness: 0.000246
Original HTML content:
<html><head><title>Subgroup temperaments</title></head><body><!-- ws:start:WikiTextTocRule:52:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#x2.5.7.11">2.5.7.11</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#x2.9.21">2.9.21</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> <!-- ws:end:WikiTextTocRule:79 -->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> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x2.3.7-Semiphore"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Semiphore%20and%20Godzilla">Semiphore</a></h2> Comma: 49/48<br /> <br /> POTE generator: ~8/7~7/6 = 250.385<br /> <br /> Map: [<1 2 3|, <0 -2 -1|]<br /> EDOs: 5, 19, 24<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x2.3.7-Archy"></a><!-- ws:end:WikiTextHeadingRule:4 -->Archy</h2> Archy can be thought of as "no-5's <a class="wiki_link" href="/dominant">dominant</a>" or "no-5's <a class="wiki_link" href="/superpyth">superpyth</a>". The name comes from the fact that it tempers out 64/63, the Archytas comma.<br /> <br /> Comma: 64/63<br /> <br /> POTE generator: ~4/3 = 490.678<br /> <br /> Map: [<1 2 2|, <0 -1 2|]<br /> EDOs: 5, 12, 17, 22, 27, 137bc<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x2.3.7-Slendric"></a><!-- ws:end:WikiTextHeadingRule:6 --><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:8:<h1> --><h1 id="toc4"><a name="x2.3.11"></a><!-- ws:end:WikiTextHeadingRule:8 -->2.3.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x2.3.11-Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:10 -->Neutraltet</h2> Neutraltet can be thought of as 2.3.11 version of either <a class="wiki_link" href="/mohajira">mohajira</a> or <a class="wiki_link" href="/maqamic">maqamic</a>, and is the temperament optimizing the <a class="wiki_link" href="/neutral%20tetrad">neutral tetrad</a>.<br /> <br /> Comma: 243/242<br /> <br /> POTE generator: ~11/9 = 350.525<br /> <br /> Map: [<1 1 2|, <0 2 5|]<br /> EDOs: 7, 10, 17, 24, 41, 65, 89, 202, 291, 380<br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10">Ten note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:12 -->2.3.5.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="x2.3.5.11-Porcupine"></a><!-- ws:end:WikiTextHeadingRule:14 -->Porcupine</h2> Commas: 55/54, 100/99<br /> <br /> POTE generator: 164.078<br /> <br /> Map: [<1 2 3 4|, <0 -3 -5 -4|]<br /> EDOs: 7, 15, 22, 37<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohaha</h2> Commas: 81/80, 121/120<br /> <br /> POTE generator: 348.094<br /> <br /> Map: [<1 1 0 2|, <0 2 8 5|]<br /> EDOs: 7, 10, 17, 24, 31<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:18 -->2.3.7.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:20 -->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:22:<h2> --><h2 id="toc11"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:22 -->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:24:<h2> --><h2 id="toc12"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:24 -->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:26:<h2> --><h2 id="toc13"><a name="x2.3.7.11-Hemif"></a><!-- ws:end:WikiTextHeadingRule:26 -->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:28:<h1> --><h1 id="toc14"><a name="x2.5.7.11"></a><!-- ws:end:WikiTextHeadingRule:28 -->2.5.7.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h2> --><h2 id="toc15"><a name="x2.5.7.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:30 -->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:32:<h1> --><h1 id="toc16"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:32 -->2.9.7.11</h1> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h2> --><h2 id="toc17"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:34 -->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:36:<h2> --><h2 id="toc18"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:36 -->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:38:<h2> --><h2 id="toc19"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:38 -->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<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h1> --><h1 id="toc20"><a name="x2.9.15.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:40 -->2.9.15.7.11.13</h1> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h2> --><h2 id="toc21"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)"></a><!-- ws:end:WikiTextHeadingRule:42 -->Stacks (aka 2magic)</h2> Commas: 100/99, 105/104, 144/143, 196/195<br /> <br /> POTE generator: ~9/7 = 438.977<br /> <br /> Sval map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]<br /> EDOs: 11, 30, 41<br /> Badness: 0.00602<br /> <br /> <!-- ws:start:WikiTextHeadingRule:44:<h3> --><h3 id="toc22"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7.11 stacks"></a><!-- ws:end:WikiTextHeadingRule:44 -->2.9.15.7.11 stacks</h3> Commas: 100/99, 225/224, 245/243<br /> <br /> POTE generator: ~9/7 =438.443<br /> <br /> Sval map: [<1 0 2 -1 6|, <0 5 3 6 -4|]<br /> EDOs: 8, 11, 30, 41, 52<br /> Badness: 0.00371<br /> <br /> <!-- ws:start:WikiTextHeadingRule:46:<h3> --><h3 id="toc23"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7 stacks"></a><!-- ws:end:WikiTextHeadingRule:46 -->2.9.15.7 stacks</h3> Commas: 225/224, 245/243<br /> <br /> POTE generator: ~9/7 = 438.850<br /> <br /> Sval map: [<1 0 2 -1|, <0 5 3 6|]<br /> EDOs: 8, 11, 30, 41, 93, 134c, 175c<br /> Badness: 0.00245<br /> <br /> <!-- ws:start:WikiTextHeadingRule:48:<h1> --><h1 id="toc24"><a name="x2.9.21"></a><!-- ws:end:WikiTextHeadingRule:48 -->2.9.21</h1> <!-- ws:start:WikiTextHeadingRule:50:<h2> --><h2 id="toc25"><a name="x2.9.21-A-team"></a><!-- ws:end:WikiTextHeadingRule:50 -->A-team</h2> Commas: 1029/1024<br /> <br /> POTE generator: ~21/16 = 467.756<br /> <br /> Sval map: [<1 2 4|, <0 3 1|]<br /> EDOs: 5, 13, 18, 41, 59, 254c, 313c, 372c, 472c, 490c<br /> Badness: 0.000246</body></html>