User:AthiTrydhen/13-Hendrix diamond: Difference between revisions

Revision as of 01:29, 4 August 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Praimhin and made on 2016-08-04 01:29:28 UTC.

The original revision id was 588772210.

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:

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 ||
||~   || 24/13 || 1/1 || 15/13 || 18/13 || 3/2 ||
||~   || 8/5 || 26/15 || 1/1 || 6/5 || 13/10 ||
||~   || 4/3 || 13/9 || 5/3 || 1/1 || 13/12 ||
||~   || 16/13 || 4/3 || 20/13 || 24/13 || 1/1 ||
All notes in the Hendrix diamond are also found in the [[15-limit tonality diamond]], because 1/1:13/12:5/4:3/2:13/8 is a 15-limit [[Anomalous Saturated Suspensions|anomalous saturated suspension]].

==Symmetry group== 

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 → 3:2, 15:13, 18:13
* 3:2, 5:4, 13:8 → 4:3, 8:5, 16:13

===Orbits and Invariant Subsets=== 
[to be included]

Original HTML content:

<html><head><title>13-Hendrix diamond</title></head><body>The <strong>13-</strong><strong>Hendrix diamond</strong> is the tonality diamond generated from the ratios 1/1, 13/12, 5/4, 3/2 and 13/8.<br />


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        <td>1/1<br />
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        <td>13/12<br />
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        <td>5/4<br />
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        <td>3/2<br />
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        <td>13/8<br />
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        <td>24/13<br />
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        <td>1/1<br />
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        <td>13/10<br />
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        <td>4/3<br />
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        <td>13/9<br />
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        <td>1/1<br />
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        <td>13/12<br />
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        <td>16/13<br />
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        <td>4/3<br />
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        <td>20/13<br />
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        <td>24/13<br />
</td>
        <td>1/1<br />
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</table>

All notes in the Hendrix diamond are also found in the <a class="wiki_link" href="/15-limit%20tonality%20diamond">15-limit tonality diamond</a>, because 1/1:13/12:5/4:3/2:13/8 is a 15-limit <a class="wiki_link" href="/Anomalous%20Saturated%20Suspensions">anomalous saturated suspension</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Symmetry group"></a><!-- ws:end:WikiTextHeadingRule:0 -->Symmetry group</h2>
 <br />
The symmetry group of the 13-Hendrix diamond has 16 elements. Its generators are:<br />
<ul><li>3:2, 5:4, 13:8 → 13:12, 5:3, 13:9</li><li>3:2, 5:4, 13:8 → 3:2, 15:13, 18:13</li><li>3:2, 5:4, 13:8 → 4:3, 8:5, 16:13</li></ul><br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Symmetry group-Orbits and Invariant Subsets"></a><!-- ws:end:WikiTextHeadingRule:2 -->Orbits and Invariant Subsets</h3>
 [to be included]</body></html>

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 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 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">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 ||
@@ Line 17: / Line 17: @@
 ==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 → 3:2, 15:13, 18:13
@@ Line 25: / Line 25: @@
 [to be included]</pre></div>
 <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;
@@ Line 119: / Line 119: @@
 &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;
-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;!-- 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>

User:AthiTrydhen/13-Hendrix diamond: Difference between revisions

Revision as of 01:29, 4 August 2016

IMPORTED REVISION FROM WIKISPACES

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Original HTML content:

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