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Wikispaces>Praimhin
**Imported revision 588772188 - Original comment: **
Wikispaces>Praimhin
**Imported revision 588772210 - Original comment: **
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<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:Praimhin|Praimhin]] and made on <tt>2016-08-04 01:28:30 UTC</tt>.<br>
: This revision was by author [[User:Praimhin|Praimhin]] and made on <tt>2016-08-04 01:29:28 UTC</tt>.<br>
: The original revision id was <tt>588772188</tt>.<br>
: The original revision id was <tt>588772210</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">The **Hendrix diamond** is the tonality diamond generated from the ratios 1/1, 13/12, 5/4, 3/2 and 13/8.
<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">The **13-****Hendrix diamond** is the tonality diamond generated from the ratios 1/1, 13/12, 5/4, 3/2 and 13/8.
||~  ||~  ||~  ||~  ||~  ||~  ||
||~  ||~  ||~  ||~  ||~  ||~  ||
||~  || 1/1 || 13/12 || 5/4 || 3/2 || 13/8 ||
||~  || 1/1 || 13/12 || 5/4 || 3/2 || 13/8 ||
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==Symmetry group==  
==Symmetry group==  


The symmetry group of the Hendrix diamond has 16 elements. Its generators are:
The symmetry group of the 13-Hendrix diamond has 16 elements. Its generators are:
* 3:2, 5:4, 13:8 → 13:12, 5:3, 13:9
* 3:2, 5:4, 13:8 → 13:12, 5:3, 13:9
* 3:2, 5:4, 13:8 → 3:2, 15:13, 18:13
* 3:2, 5:4, 13:8 → 3:2, 15:13, 18:13
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[to be included]</pre></div>
[to be included]</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;13-Hendrix diamond&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;Hendrix diamond&lt;/strong&gt; is the tonality diamond generated from the ratios 1/1, 13/12, 5/4, 3/2 and 13/8.&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;13-Hendrix diamond&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;13-&lt;/strong&gt;&lt;strong&gt;Hendrix diamond&lt;/strong&gt; is the tonality diamond generated from the ratios 1/1, 13/12, 5/4, 3/2 and 13/8.&lt;br /&gt;




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&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Symmetry group"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Symmetry group&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Symmetry group"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Symmetry group&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
The symmetry group of the Hendrix diamond has 16 elements. Its generators are:&lt;br /&gt;
The symmetry group of the 13-Hendrix diamond has 16 elements. Its generators are:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;3:2, 5:4, 13:8 → 13:12, 5:3, 13:9&lt;/li&gt;&lt;li&gt;3:2, 5:4, 13:8 → 3:2, 15:13, 18:13&lt;/li&gt;&lt;li&gt;3:2, 5:4, 13:8 → 4:3, 8:5, 16:13&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;3:2, 5:4, 13:8 → 13:12, 5:3, 13:9&lt;/li&gt;&lt;li&gt;3:2, 5:4, 13:8 → 3:2, 15:13, 18:13&lt;/li&gt;&lt;li&gt;3:2, 5:4, 13:8 → 4:3, 8:5, 16:13&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Symmetry group-Orbits and Invariant Subsets"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Orbits and Invariant Subsets&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Symmetry group-Orbits and Invariant Subsets"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Orbits and Invariant Subsets&lt;/h3&gt;
  [to be included]&lt;/body&gt;&lt;/html&gt;</pre></div>
  [to be included]&lt;/body&gt;&lt;/html&gt;</pre></div>
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