Porcupine rank three family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.  
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>2012-01-13 01:02:52 UTC</tt>.<br>
: The original revision id was <tt>291887545</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>
<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">These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.  


==Sonic==
==Sonic==
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Map: [&lt;1 2 3 0 4|, &lt;0 -3 -5 0 -4|, &lt;0 0 0 1 0|]
Map: [&lt;1 2 3 0 4|, &lt;0 -3 -5 0 -4|, &lt;0 0 0 1 0|]
Generators: ~10/9 = 164.078, ~7 = 3367.841
Generators: ~10/9 = 164.078, ~7 = 3367.841
EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce
EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce
Badness: 0.000523
Badness: 0.000523


Line 20: Line 16:


Map: [&lt;1 2 3 0 0], &lt;0 -3 -5 0 5|, &lt;0 0 0 1 1|]
Map: [&lt;1 2 3 0 0], &lt;0 -3 -5 0 5|, &lt;0 0 0 1 1|]
POTE generators: ~10/9 = 161.519, ~7 = 3371.046
POTE generators: ~10/9 = 161.519, ~7 = 3371.046
EDOs: 15, 37e, 52be
EDOs: 15, 37e, 52be
Badness: 0.001973</pre></div>
 
<h4>Original HTML content:</h4>
Badness: 0.001973
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Porcupine rank three family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. &lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Sonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Sonic&lt;/h2&gt;
Commas: 55/54, 100/99&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 0 4|, &amp;lt;0 -3 -5 0 -4|, &amp;lt;0 0 0 1 0|]&lt;br /&gt;
Generators: ~10/9 = 164.078, ~7 = 3367.841&lt;br /&gt;
EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce&lt;br /&gt;
Badness: 0.000523&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Tikal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Tikal&lt;/h2&gt;
Commas: 56/55, 250/243&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 0 0], &amp;lt;0 -3 -5 0 5|, &amp;lt;0 0 0 1 1|]&lt;br /&gt;
POTE generators: ~10/9 = 161.519, ~7 = 3371.046&lt;br /&gt;
EDOs: 15, 37e, 52be&lt;br /&gt;
Badness: 0.001973&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.

Sonic

Commas: 55/54, 100/99

Map: [<1 2 3 0 4|, <0 -3 -5 0 -4|, <0 0 0 1 0|]

Generators: ~10/9 = 164.078, ~7 = 3367.841

EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce

Badness: 0.000523

Tikal

Commas: 56/55, 250/243

Map: [<1 2 3 0 0], <0 -3 -5 0 5|, <0 0 0 1 1|]

POTE generators: ~10/9 = 161.519, ~7 = 3371.046

EDOs: 15, 37e, 52be

Badness: 0.001973