Keemic family: Difference between revisions

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**Imported revision 247703145 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 306237162 - 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>2011-08-22 12:49:44 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-29 00:31:25 UTC</tt>.<br>
: The original revision id was <tt>247703145</tt>.<br>
: The original revision id was <tt>306237162</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>
<h4>Original Wikitext content:</h4>
<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 [[planar temperament]]s tempering out the keema, 875/864.
<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">[[toc|flat]]


These are the [[planar temperament]]s tempering out the keema, 875/864.
=Supermagic=
Comma: 875/864
Comma: 875/864


Line 26: Line 29:


Scales: [[keemic15]]
Scales: [[keemic15]]
==11-limit==
Commas: 100/99, 385/384
Map: [&lt;1 0 0 5 2|, &lt;0 1 0 3 -2|, &lt;0 0 1 -3 2|]
EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce
Badness: 0.000641
=Supernatural=
Commas: 225/224, 245/243
Map:[&lt;1 0 2 -1 0|, &lt;0 5 1 12 0|, &lt;0 0 0 0 1|]
EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde
Badness: 0.000888
</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Keemic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;These are the &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;s tempering out the keema, 875/864.&lt;br /&gt;
<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;Keemic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Supermagic"&gt;Supermagic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Supernatural"&gt;Supernatural&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
These are the &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;s tempering out the keema, 875/864.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Supermagic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Supermagic&lt;/h1&gt;
Comma: 875/864&lt;br /&gt;
Comma: 875/864&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;: 7 864/125&lt;br /&gt;
&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;: 7 864/125&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/keemic15"&gt;keemic15&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Scales: &lt;a class="wiki_link" href="/keemic15"&gt;keemic15&lt;/a&gt;&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="Supermagic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
Commas: 100/99, 385/384&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 5 2|, &amp;lt;0 1 0 3 -2|, &amp;lt;0 0 1 -3 2|]&lt;br /&gt;
EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce&lt;br /&gt;
Badness: 0.000641&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Supernatural"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Supernatural&lt;/h1&gt;
Commas: 225/224, 245/243&lt;br /&gt;
&lt;br /&gt;
Map:[&amp;lt;1 0 2 -1 0|, &amp;lt;0 5 1 12 0|, &amp;lt;0 0 0 0 1|]&lt;br /&gt;
EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde&lt;br /&gt;
Badness: 0.000888&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:31, 29 February 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 2012-02-29 00:31:25 UTC.
The original revision id was 306237162.
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]]

These are the [[planar temperament]]s tempering out the keema, 875/864.

=Supermagic=
Comma: 875/864

7 and 9 limit minimax
[|1 0 0 0>, |0 1 0 0>, |5/4 3/4 1/4 -1/4>, 
|5/4 3/4 -3/4 3/4>]
Eigenmonzos: 2, 4/3, 7/5

Lattice basis: 6/5 length=0.8879 3/2 length=1.3391
Angle(6/5, 3/2) = 77.834
Map to lattice: [<0 0 -1 3|, <0 1 1 0|]

Map: [<1 0 0 5|, <0 1 0 3|, <0 0 1 -3|]
Generators: 2, 3, 5
Edos: 7, 8, 15, 18, 19, 22, 26, 34, 37, 41, 56, 60

[[Projection pair]]: 7 864/125

Scales: [[keemic15]]

==11-limit==
Commas: 100/99, 385/384

Map: [<1 0 0 5 2|, <0 1 0 3 -2|, <0 0 1 -3 2|]
EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce
Badness: 0.000641

=Supernatural=
Commas: 225/224, 245/243

Map:[<1 0 2 -1 0|, <0 5 1 12 0|, <0 0 0 0 1|]
EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde
Badness: 0.000888

Original HTML content:

<html><head><title>Keemic family</title></head><body><!-- ws:start:WikiTextTocRule:6:&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:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Supermagic">Supermagic</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Supernatural">Supernatural</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><br />
These are the <a class="wiki_link" href="/planar%20temperament">planar temperament</a>s tempering out the keema, 875/864.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Supermagic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Supermagic</h1>
Comma: 875/864<br />
<br />
7 and 9 limit minimax<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |5/4 3/4 1/4 -1/4&gt;, <br />
|5/4 3/4 -3/4 3/4&gt;]<br />
Eigenmonzos: 2, 4/3, 7/5<br />
<br />
Lattice basis: 6/5 length=0.8879 3/2 length=1.3391<br />
Angle(6/5, 3/2) = 77.834<br />
Map to lattice: [&lt;0 0 -1 3|, &lt;0 1 1 0|]<br />
<br />
Map: [&lt;1 0 0 5|, &lt;0 1 0 3|, &lt;0 0 1 -3|]<br />
Generators: 2, 3, 5<br />
Edos: 7, 8, 15, 18, 19, 22, 26, 34, 37, 41, 56, 60<br />
<br />
<a class="wiki_link" href="/Projection%20pair">Projection pair</a>: 7 864/125<br />
<br />
Scales: <a class="wiki_link" href="/keemic15">keemic15</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Supermagic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 100/99, 385/384<br />
<br />
Map: [&lt;1 0 0 5 2|, &lt;0 1 0 3 -2|, &lt;0 0 1 -3 2|]<br />
EDOs: 7, 15, 19, 22, 37, 41, 63, 104, 145c, 201ce, 242ce, 264bce, 305bce<br />
Badness: 0.000641<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Supernatural"></a><!-- ws:end:WikiTextHeadingRule:4 -->Supernatural</h1>
Commas: 225/224, 245/243<br />
<br />
Map:[&lt;1 0 2 -1 0|, &lt;0 5 1 12 0|, &lt;0 0 0 0 1|]<br />
EDOs: 19, 22, 41, 82e, 101cd, 104, 123ce, 142cd, 224cde, 265cde<br />
Badness: 0.000888</body></html>