Mint temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 328409568 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 328706202 - 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>2012-05-02 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-02 12:05:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>328706202</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 176: | Line 176: | ||
Badness: 0.0323 | Badness: 0.0323 | ||
= = | =Slurpee= | ||
Comma: 177147/156250 | Comma: 177147/156250 | ||
| Line 194: | Line 194: | ||
EDOs: 16, 17c, 33, 50cd, 83bcd | EDOs: 16, 17c, 33, 50cd, 83bcd | ||
Badness: 0.1149 | Badness: 0.1149 | ||
</pre></div> | |||
==11-limit== | |||
Commas: 36/35, 121/120, 352/343 | |||
POTE generator: ~21/20 = 72.297 | |||
Map: [<1 2 3 3 4|, <0 -7 -11 -3 -9|] | |||
EDOs: 16, 17c, 33, 50cd, 83bcd | |||
Badness: 0.0505 | |||
==13-limit== | |||
Commas: 36/35. 66/65, 143/140, 352/343 | |||
POTE generator: ~21/20 = 72.409 | |||
Map: [<1 2 3 3 4 4|, <0 -7 -11 -3 -9 -5|] | |||
EDOs: 16, 17c, 33, 83bcd | |||
Badness: 0.0331</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>Mint 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>Mint temperaments</title></head><body><!-- ws:start:WikiTextTocRule:44:&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:44 --><!-- ws:start:WikiTextTocRule:45: --><a href="#Progression">Progression</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Ripple">Ripple</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Smate">Smate</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="#Subklei">Subklei</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Slurpee">Slurpee</a><!-- 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: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:67 --><br /> | ||
These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br /> | These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.<br /> | ||
<br /> | <br /> | ||
| Line 366: | Line 383: | ||
Badness: 0.0323<br /> | Badness: 0.0323<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><!-- ws:end:WikiTextHeadingRule:36 --> </h1> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Slurpee"></a><!-- ws:end:WikiTextHeadingRule:36 -->Slurpee</h1> | ||
Comma: 177147/156250 <br /> | Comma: 177147/156250 <br /> | ||
<br /> | <br /> | ||
| Line 375: | Line 392: | ||
Badness: 0.6893<br /> | Badness: 0.6893<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name=" | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Slurpee-7-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->7-limit</h2> | ||
Commas: 36/35, 51200/50421<br /> | Commas: 36/35, 51200/50421<br /> | ||
<br /> | <br /> | ||
| Line 383: | Line 400: | ||
Wedgie: &lt;&lt;7 11 3 1 -15 -24||<br /> | Wedgie: &lt;&lt;7 11 3 1 -15 -24||<br /> | ||
EDOs: 16, 17c, 33, 50cd, 83bcd<br /> | EDOs: 16, 17c, 33, 50cd, 83bcd<br /> | ||
Badness: 0.1149</body></html></pre></div> | Badness: 0.1149<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Slurpee-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> | |||
Commas: 36/35, 121/120, 352/343 <br /> | |||
<br /> | |||
POTE generator: ~21/20 = 72.297<br /> | |||
<br /> | |||
Map: [&lt;1 2 3 3 4|, &lt;0 -7 -11 -3 -9|]<br /> | |||
EDOs: 16, 17c, 33, 50cd, 83bcd<br /> | |||
Badness: 0.0505<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Slurpee-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> | |||
Commas: 36/35. 66/65, 143/140, 352/343<br /> | |||
<br /> | |||
POTE generator: ~21/20 = 72.409<br /> | |||
<br /> | |||
Map: [&lt;1 2 3 3 4 4|, &lt;0 -7 -11 -3 -9 -5|]<br /> | |||
EDOs: 16, 17c, 33, 83bcd<br /> | |||
Badness: 0.0331</body></html></pre></div> | |||