Subgroup temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 490767784 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 490782324 - 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>2014-02-20 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-02-20 12:28:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>490782324</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 48: | Line 48: | ||
EDOs: 5, 21, 26, 31, 36, 77, 113, 190 | EDOs: 5, 21, 26, 31, 36, 77, 113, 190 | ||
[[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents | [[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents | ||
==Lie== | |||
Comma: 177147/175616 | |||
[[Lp tuning|POL2 generator]]: ~81/56 = 633.525 | |||
Map: [<1 0 -3|, <0 3 11|] | |||
EDOs: 17, 36, 89, 125, 161, 358, 519b | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.3519 cents | |||
=2.3.11= | =2.3.11= | ||
| Line 354: | Line 363: | ||
[[Tp tuning#T2%20tuning|RMS error]]: 0.5379 cents</pre></div> | [[Tp tuning#T2%20tuning|RMS error]]: 0.5379 cents</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:78:&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:78 --><!-- ws:start:WikiTextTocRule:79: --><a href="#x2.3.7">2.3.7</a><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --> | <a href="#x2.3.11">2.3.11</a><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --> | <a href="#x2.3.7.11">2.3.7.11</a><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --> | <a href="#x2.3.7.11.13">2.3.7.11.13</a><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --> | <a href="#x2.3.5.11">2.3.5.11</a><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --> | <a href="#x2.9.7.11">2.9.7.11</a><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --> | <a href="#x2.9.15.7.11.13">2.9.15.7.11.13</a><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --><!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --><!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --><!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --> | <a href="#x2.9.21">2.9.21</a><!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --><!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --> | <a href="#x2.3.7/5.11/5.13/5">2.3.7/5.11/5.13/5</a><!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --><!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --> | <a href="#x2.3.7.11/5.13">2.3.7.11/5.13</a><!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:118 -->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 397: | Line 406: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x2.3.7-Lie"></a><!-- ws:end:WikiTextHeadingRule:8 -->Lie</h2> | ||
Comma: 177147/175616<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Lp%20tuning">POL2 generator</a>: ~81/56 = 633.525<br /> | |||
<br /> | |||
Map: [&lt;1 0 -3|, &lt;0 3 11|]<br /> | |||
EDOs: 17, 36, 89, 125, 161, 358, 519b<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3519 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="x2.3.11"></a><!-- ws:end:WikiTextHeadingRule:10 -->2.3.11</h1> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x2.3.11-Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:12 -->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 /> | 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 /> | <br /> | ||
| Line 417: | Line 435: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:14 -->2.3.5.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x2.3.5.11-Porkypine"></a><!-- ws:end:WikiTextHeadingRule:16 -->Porkypine</h2> | ||
Commas: 55/54, 100/99<br /> | Commas: 55/54, 100/99<br /> | ||
<br /> | <br /> | ||
| Line 431: | Line 449: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.287 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.287 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x2.3.5.11-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:18 -->Mohaha</h2> | ||
Commas: 81/80, 121/120<br /> | Commas: 81/80, 121/120<br /> | ||
<br /> | <br /> | ||
| Line 443: | Line 461: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.392 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.392 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x2.3.5.11-Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:20 -->Music</h3> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:22 -->2.3.7.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="x2.3.7.11-Ennea"></a><!-- ws:end:WikiTextHeadingRule:24 -->Ennea</h2> | ||
Commas: 41503/41472, 43923/43904<br /> | Commas: 41503/41472, 43923/43904<br /> | ||
<br /> | <br /> | ||
| Line 460: | Line 478: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0383 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0383 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x2.3.7.11-Supra"></a><!-- ws:end:WikiTextHeadingRule:26 -->Supra</h2> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
| Line 472: | Line 490: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:28 -->Skwares</h2> | ||
Commas: 99/98, 243/242<br /> | Commas: 99/98, 243/242<br /> | ||
<br /> | <br /> | ||
| Line 484: | Line 502: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.099 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.099 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="x2.3.7.11-Hemif (11 limit)"></a><!-- ws:end:WikiTextHeadingRule:30 -->Hemif (11 limit)</h2> | ||
Commas: 243/242, 896/891<br /> | Commas: 243/242, 896/891<br /> | ||
<br /> | <br /> | ||
| Line 496: | Line 514: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6108 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6108 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="x2.3.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:32 -->2.3.7.11.13</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x2.3.7.11.13-Suhajira"></a><!-- ws:end:WikiTextHeadingRule:34 -->Suhajira</h2> | ||
Commas: 64/63, 78/77, 144/143<br /> | Commas: 64/63, 78/77, 144/143<br /> | ||
<br /> | <br /> | ||
| Line 510: | Line 528: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.953 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.953 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x2.3.7.11.13-Hemif"></a><!-- ws:end:WikiTextHeadingRule:36 -->Hemif</h2> | ||
Commas: 144/143, 243/242, 364/363<br /> | Commas: 144/143, 243/242, 364/363<br /> | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a>, namo<br /> | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a>, namo<br /> | ||
| Line 523: | Line 541: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7167 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7167 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="x2.3.7.11.13-Skwares"></a><!-- ws:end:WikiTextHeadingRule:38 -->Skwares</h2> | ||
Commas: 78/77, 99/98, 243/242<br /> | Commas: 78/77, 99/98, 243/242<br /> | ||
<br /> | <br /> | ||
| Line 532: | Line 550: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.769 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.769 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="x2.3.7.11.13-Leapfrog"></a><!-- ws:end:WikiTextHeadingRule:40 -->Leapfrog</h2> | ||
Commas: 169/168, 352/351, 364/363<br /> | Commas: 169/168, 352/351, 364/363<br /> | ||
<br /> | <br /> | ||
| Line 544: | Line 562: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7541 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7541 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="x2.3.7.11.13-Bleu"></a><!-- ws:end:WikiTextHeadingRule:42 -->Bleu</h2> | ||
Group: 2.3.7.11.13<br /> | Group: 2.3.7.11.13<br /> | ||
Commas: 78/77, 99/98, 144/143<br /> | Commas: 78/77, 99/98, 144/143<br /> | ||
| Line 558: | Line 576: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.752 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.752 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="x2.3.7.11.13-Parapyth (Rank 3)"></a><!-- ws:end:WikiTextHeadingRule:44 -->Parapyth (Rank 3)</h2> | ||
Commas: 352/351, 364/363<br /> | Commas: 352/351, 364/363<br /> | ||
<br /> | <br /> | ||
| Line 571: | Line 589: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3789 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3789 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="x2.3.5.11"></a><!-- ws:end:WikiTextHeadingRule:46 -->2.3.5.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="x2.3.5.11-Larry"></a><!-- ws:end:WikiTextHeadingRule:48 -->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 /> | ||
| Line 586: | Line 604: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3025 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3025 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:50 -->2.9.7.11</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:52 -->Machine</h2> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
<br /> | <br /> | ||
| Line 600: | Line 618: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:54 -->Apparatus</h2> | ||
Commas: 41503/41472, 322102/321489<br /> | Commas: 41503/41472, 322102/321489<br /> | ||
<br /> | <br /> | ||
| Line 612: | Line 630: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0673 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0673 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:56 -->Mechanism</h2> | ||
Commas: 896/891, 26411/26244<br /> | Commas: 896/891, 26411/26244<br /> | ||
<br /> | <br /> | ||
| Line 624: | Line 642: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4262 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4262 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:58:&lt;h1&gt; --><h1 id="toc29"><a name="x2.9.15.7.11.13"></a><!-- ws:end:WikiTextHeadingRule:58 -->2.9.15.7.11.13</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)"></a><!-- ws:end:WikiTextHeadingRule:60 -->Stacks (aka 2magic)</h2> | ||
Commas: 100/99, 105/104, 144/143, 196/195<br /> | Commas: 100/99, 105/104, 144/143, 196/195<br /> | ||
<br /> | <br /> | ||
| Line 638: | Line 656: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.540 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.540 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:62:&lt;h3&gt; --><h3 id="toc31"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7.11 stacks"></a><!-- ws:end:WikiTextHeadingRule:62 -->2.9.15.7.11 stacks</h3> | ||
Commas: 100/99, 225/224, 245/243<br /> | Commas: 100/99, 225/224, 245/243<br /> | ||
<br /> | <br /> | ||
| Line 650: | Line 668: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.226 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.226 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:64:&lt;h3&gt; --><h3 id="toc32"><a name="x2.9.15.7.11.13-Stacks (aka 2magic)-2.9.15.7 stacks"></a><!-- ws:end:WikiTextHeadingRule:64 -->2.9.15.7 stacks</h3> | ||
Commas: 225/224, 245/243<br /> | Commas: 225/224, 245/243<br /> | ||
<br /> | <br /> | ||
| Line 662: | Line 680: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.074 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.074 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:66:&lt;h1&gt; --><h1 id="toc33"><a name="x2.9.21"></a><!-- ws:end:WikiTextHeadingRule:66 -->2.9.21</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:68:&lt;h2&gt; --><h2 id="toc34"><a name="x2.9.21-A-team"></a><!-- ws:end:WikiTextHeadingRule:68 -->A-team</h2> | ||
Commas: 1029/1024<br /> | Commas: 1029/1024<br /> | ||
<br /> | <br /> | ||
| Line 675: | Line 693: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:70:&lt;h1&gt; --><h1 id="toc35"><a name="x2.3.7/5.11/5.13/5"></a><!-- ws:end:WikiTextHeadingRule:70 -->2.3.7/5.11/5.13/5</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:72:&lt;h2&gt; --><h2 id="toc36"><a name="x2.3.7/5.11/5.13/5-Historical"></a><!-- ws:end:WikiTextHeadingRule:72 -->Historical</h2> | ||
Subgroup: 2.3.7/5.11/5.13/5<br /> | Subgroup: 2.3.7/5.11/5.13/5<br /> | ||
Commas: 364/363, 441/440, 1001/1000<br /> | Commas: 364/363, 441/440, 1001/1000<br /> | ||
| Line 689: | Line 707: | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2562 cents<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2562 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:74:&lt;h1&gt; --><h1 id="toc37"><a name="x2.3.7.11/5.13"></a><!-- ws:end:WikiTextHeadingRule:74 -->2.3.7.11/5.13</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:76:&lt;h2&gt; --><h2 id="toc38"><a name="x2.3.7.11/5.13-Hypnosis"></a><!-- ws:end:WikiTextHeadingRule:76 -->Hypnosis</h2> | ||
Subgroup: 2.3.7.11/5.13<br /> | Subgroup: 2.3.7.11/5.13<br /> | ||
Commas: 169/168, 540/539, 729/728<br /> | Commas: 169/168, 540/539, 729/728<br /> | ||