Sensamagic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 332701132 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 337137326 - 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>2012-05- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-18 14:12:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>337137326</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 11: | Line 11: | ||
=Bohpier= | =Bohpier= | ||
Comma: 1220703125/1162261467 | |||
POTE generator: ~27/25 = 146.476 | |||
Map: [<1 0 0|, <0 13 19|] | |||
EDOs: 8, 41, 131, 172, 213c | |||
Badness: 0.8605 | |||
==7-limit== | |||
[[Comma]]s: 245/243, 3125/3087 | [[Comma]]s: 245/243, 3125/3087 | ||
| Line 130: | Line 139: | ||
EDOs: 24 | EDOs: 24 | ||
Badness: 0.0499 | Badness: 0.0499 | ||
| Line 136: | Line 144: | ||
</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>Sensamagic clan</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>Sensamagic clan</title></head><body><!-- ws:start:WikiTextTocRule:28:&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:28 --><!-- ws:start:WikiTextTocRule:29: --><a href="#Bohpier">Bohpier</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Sensa">Sensa</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | <a href="#Salsa">Salsa</a><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Pycnic">Pycnic</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --> | <a href="#Cohemiripple">Cohemiripple</a><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:43 --><br /> | ||
The <em>sensamagic clan</em> tempers out the <a class="wiki_link" href="/sensamagic%20comma">sensamagic comma</a>, <a class="wiki_link" href="/245_243">245/243</a>, a <a class="wiki_link" href="/triprime%20comma">triprime comma</a> with no factors of 2. |0 -5 1 2&gt; to be exact. There are a number of <a class="wiki_link" href="/linear%20temperament">linear temperament</a>s in the <a class="wiki_link" href="/clan">clan</a> (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a <a class="wiki_link" href="/rank%20three%20temperament">rank three temperament</a> for which <a class="wiki_link" href="/283edo">283edo</a> is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>.<br /> | The <em>sensamagic clan</em> tempers out the <a class="wiki_link" href="/sensamagic%20comma">sensamagic comma</a>, <a class="wiki_link" href="/245_243">245/243</a>, a <a class="wiki_link" href="/triprime%20comma">triprime comma</a> with no factors of 2. |0 -5 1 2&gt; to be exact. There are a number of <a class="wiki_link" href="/linear%20temperament">linear temperament</a>s in the <a class="wiki_link" href="/clan">clan</a> (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a <a class="wiki_link" href="/rank%20three%20temperament">rank three temperament</a> for which <a class="wiki_link" href="/283edo">283edo</a> is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Bohpier"></a><!-- ws:end:WikiTextHeadingRule:0 -->Bohpier</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Bohpier"></a><!-- ws:end:WikiTextHeadingRule:0 -->Bohpier</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 245/243, 3125/3087<br /> | Comma: 1220703125/1162261467<br /> | ||
<br /> | |||
POTE generator: ~27/25 = 146.476<br /> | |||
<br /> | |||
Map: [&lt;1 0 0|, &lt;0 13 19|]<br /> | |||
EDOs: 8, 41, 131, 172, 213c<br /> | |||
Badness: 0.8605<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Bohpier-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2> | |||
<a class="wiki_link" href="/Comma">Comma</a>s: 245/243, 3125/3087<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~27/25 = 146.474<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~27/25 = 146.474<br /> | ||
| Line 151: | Line 168: | ||
<a class="wiki_link" href="/Badness">Badness</a>: 0.0682<br /> | <a class="wiki_link" href="/Badness">Badness</a>: 0.0682<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Bohpier-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | ||
Commas: 100/99, 245/243, 1344/1331<br /> | Commas: 100/99, 245/243, 1344/1331<br /> | ||
<br /> | <br /> | ||
| Line 160: | Line 177: | ||
Badness: 0.0339<br /> | Badness: 0.0339<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Bohpier-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
Commas: 100/99, 144/143, 245/243, 275/273<br /> | Commas: 100/99, 144/143, 245/243, 275/273<br /> | ||
<br /> | <br /> | ||
| Line 169: | Line 186: | ||
Badness: 0.0249<br /> | Badness: 0.0249<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Bohpier-Music"></a><!-- ws:end:WikiTextHeadingRule:8 -->Music</h2> | ||
By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:186:http://micro.soonlabel.com/bophier/bophier-1.mp3 --><a class="wiki_link_ext" href="http://micro.soonlabel.com/bophier/bophier-1.mp3" rel="nofollow">http://micro.soonlabel.com/bophier/bophier-1.mp3</a><!-- ws:end:WikiTextUrlRule:186 --><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:187:http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 --><a class="wiki_link_ext" href="http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3" rel="nofollow">http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3</a><!-- ws:end:WikiTextUrlRule:187 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Sensa"></a><!-- ws:end:WikiTextHeadingRule:10 -->Sensa</h1> | ||
Commas: 245/243, 65625/65536<br /> | Commas: 245/243, 65625/65536<br /> | ||
<br /> | <br /> | ||
| Line 184: | Line 201: | ||
Badness: 0.0887<br /> | Badness: 0.0887<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Sensa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> | ||
Commas: 245/243, 385/384, 4000/3993<br /> | Commas: 245/243, 385/384, 4000/3993<br /> | ||
<br /> | <br /> | ||
| Line 193: | Line 210: | ||
Badness: 0.0358<br /> | Badness: 0.0358<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Sensa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2> | ||
Commas: 245/243, 352/351, 385/384, 625/624<br /> | Commas: 245/243, 352/351, 385/384, 625/624<br /> | ||
<br /> | <br /> | ||
| Line 202: | Line 219: | ||
Badness: 0.0317<br /> | Badness: 0.0317<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Salsa"></a><!-- ws:end:WikiTextHeadingRule:16 -->Salsa</h1> | ||
Commas: 245/243, 32805/32768<br /> | Commas: 245/243, 32805/32768<br /> | ||
<br /> | <br /> | ||
| Line 212: | Line 229: | ||
Badness: 0.08015<br /> | Badness: 0.08015<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Salsa-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2> | ||
Commas: 243/242, 245/242, 385/384<br /> | Commas: 243/242, 245/242, 385/384<br /> | ||
<br /> | <br /> | ||
| Line 221: | Line 238: | ||
Badness: 0.0394<br /> | Badness: 0.0394<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Pycnic"></a><!-- ws:end:WikiTextHeadingRule:20 -->Pycnic</h1> | ||
The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being a cent sharp of it in the POTE tuning for instance. Pycnic has MOS of size 9, 11, 13, 15, 17... which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.<br /> | The fifth of pycnic in size is a meantone fifth, but four of them are not used to reach 5. This has the effect of making the Pythagorean major third, nominally 81/64, very close to 5/4 in tuning, being a cent sharp of it in the POTE tuning for instance. Pycnic has MOS of size 9, 11, 13, 15, 17... which contain these alternative thirds, leading to two kinds of major triads, an official one and a nominally Pythagorean one which is actually in better tune.<br /> | ||
<br /> | <br /> | ||
| Line 233: | Line 250: | ||
Badness: 0.0737<br /> | Badness: 0.0737<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Cohemiripple"></a><!-- ws:end:WikiTextHeadingRule:22 -->Cohemiripple</h1> | ||
Commas: 245/243, 1323/1250<br /> | Commas: 245/243, 1323/1250<br /> | ||
<br /> | <br /> | ||
| Line 243: | Line 260: | ||
Badness: 0.1902<br /> | Badness: 0.1902<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Cohemiripple-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2> | ||
Commas: 77/75, 243/242, 245/242<br /> | Commas: 77/75, 243/242, 245/242<br /> | ||
<br /> | <br /> | ||
| Line 252: | Line 269: | ||
Badness: 0.0827<br /> | Badness: 0.0827<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Cohemiripple-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2> | ||
Commas: 66/65, 77/75, 147/143, 351/350<br /> | Commas: 66/65, 77/75, 147/143, 351/350<br /> | ||
<br /> | <br /> | ||