Structure metric: Difference between revisions

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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:genewardsmith|genewardsmith]] and made on <tt>2015-11-09 11:58:55 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-11-09 12:30:13 UTC</tt>.<br>

: The original revision id was <tt>~~565735207~~</tt>.<br>

: The original revision id was <tt>565741481</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>

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p = 1.3652790 [[centaur]]

p = 1.5709365 [[zarlino]]

p = 1.8225500 [[zeus7tri]]

p = 1.5865859 Cps([2,3,5,7,9,11], 3), the eikosany

p = 1.6426289 [[mandala]], the stellated hexany.

p = 1.8225500 [[zeus7tri]], [[diamond5]] the 5-limit tonality diamond; these are isomorphic

p = 1.8501138 [[raven]]

p = 1.9855771 [[blue-ji|blue]]

p = 2 exactly all MOS scales

p = 2 exactly all MOS scales, also [[diamond7]] the 7-limit tonality diamond

p = 2.1918973 [[shell5_3]]

p = 2.4079115 [[shell5-2]]

p = 2.7580875 Cps([2,3,5,7,11], 2) and Cps([2,3,5,7,11], 3), the 2)5 and 3)5 dekanys

p = 3.1062837 [[hexany]]

p = 4.4843144 otonal and utonal pentad

p = 6.9477267 otonal and utonal heptad

p = ∞ otonal and utonal tetrad; this implies the space is ultrametric

p = ∞ otonal and utonal tetrad; this implies the space is ultrametric</pre></div>

</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"><html><head><title>Structure metric</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Definition">Definition</a></div>

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p = 1.3652790 <a class="wiki_link" href="/centaur">centaur</a><br />

p = 1.5709365 <a class="wiki_link" href="/zarlino">zarlino</a><br />

p = 1.8225500 <a class="wiki_link" href="/zeus7tri">zeus7tri</a><br />

p = 1.5865859 Cps([2,3,5,7,9,11], 3), the eikosany<br />

p = 1.6426289 <a class="wiki_link" href="/mandala">mandala</a>, the stellated hexany.<br />

p = 1.8225500 <a class="wiki_link" href="/zeus7tri">zeus7tri</a>, <a class="wiki_link" href="/diamond5">diamond5</a> the 5-limit tonality diamond; these are isomorphic<br />

p = 1.8501138 <a class="wiki_link" href="/raven">raven</a><br />

p = 1.9855771 <a class="wiki_link" href="/blue-ji">blue</a><br />

p = 2 exactly all MOS scales<br />

p = 2 exactly all MOS scales, also <a class="wiki_link" href="/diamond7">diamond7</a> the 7-limit tonality diamond<br />

p = 2.1918973 <a class="wiki_link" href="/shell5_3">shell5_3</a><br />

p = 2.4079115 <a class="wiki_link" href="/shell5-2">shell5-2</a><br />

p = 2.7580875 Cps([2,3,5,7,11], 2) and Cps([2,3,5,7,11], 3), the 2)5 and 3)5 dekanys<br />

p = 3.1062837 <a class="wiki_link" href="/hexany">hexany</a><br />

@@ Line 1: / Line 1: @@
 <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:genewardsmith|genewardsmith]] and made on <tt>2015-11-09 11:58:55 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-11-09 12:30:13 UTC</tt>.<br>
-: The original revision id was <tt>565735207</tt>.<br>
+: The original revision id was <tt>565741481</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>
@@ Line 56: / Line 56: @@
 p = 1.3652790 [[centaur]]
 p = 1.5709365 [[zarlino]]
-p = 1.8225500 [[zeus7tri]]
+p = 1.5865859 Cps([2,3,5,7,9,11], 3), the eikosany
+p = 1.6426289 [[mandala]], the stellated hexany.
+p = 1.8225500 [[zeus7tri]], [[diamond5]] the 5-limit tonality diamond; these are isomorphic
 p = 1.8501138 [[raven]]
 p = 1.9855771 [[blue-ji|blue]]
-p = 2 exactly all MOS scales
+p = 2 exactly all MOS scales, also [[diamond7]] the 7-limit tonality diamond
+p = 2.1918973 [[shell5_3]]
+p = 2.4079115 [[shell5-2]]
 p = 2.7580875 Cps([2,3,5,7,11], 2) and Cps([2,3,5,7,11], 3), the 2)5 and 3)5 dekanys
 p = 3.1062837 [[hexany]]
 p = 4.4843144 otonal and utonal pentad
 p = 6.9477267 otonal and utonal heptad
-p = ∞ otonal and utonal tetrad; this implies the space is ultrametric
+p = ∞ otonal and utonal tetrad; this implies the space is ultrametric</pre></div>
-</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;Structure metric&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Definition"&gt;Definition&lt;/a&gt;&lt;/div&gt;
@@ Line 123: / Line 126: @@
 p = 1.3652790 &lt;a class="wiki_link" href="/centaur"&gt;centaur&lt;/a&gt;&lt;br /&gt;
 p = 1.5709365 &lt;a class="wiki_link" href="/zarlino"&gt;zarlino&lt;/a&gt;&lt;br /&gt;
-p = 1.8225500 &lt;a class="wiki_link" href="/zeus7tri"&gt;zeus7tri&lt;/a&gt;&lt;br /&gt;
+p = 1.5865859 Cps([2,3,5,7,9,11], 3), the eikosany&lt;br /&gt;
+p = 1.6426289 &lt;a class="wiki_link" href="/mandala"&gt;mandala&lt;/a&gt;, the stellated hexany.&lt;br /&gt;
+p = 1.8225500 &lt;a class="wiki_link" href="/zeus7tri"&gt;zeus7tri&lt;/a&gt;, &lt;a class="wiki_link" href="/diamond5"&gt;diamond5&lt;/a&gt; the 5-limit tonality diamond; these are isomorphic&lt;br /&gt;
 p = 1.8501138 &lt;a class="wiki_link" href="/raven"&gt;raven&lt;/a&gt;&lt;br /&gt;
 p = 1.9855771 &lt;a class="wiki_link" href="/blue-ji"&gt;blue&lt;/a&gt;&lt;br /&gt;
-p = 2 exactly all MOS scales&lt;br /&gt;
+p = 2 exactly all MOS scales, also &lt;a class="wiki_link" href="/diamond7"&gt;diamond7&lt;/a&gt; the 7-limit tonality diamond&lt;br /&gt;
+p = 2.1918973 &lt;a class="wiki_link" href="/shell5_3"&gt;shell5_3&lt;/a&gt;&lt;br /&gt;
+p = 2.4079115 &lt;a class="wiki_link" href="/shell5-2"&gt;shell5-2&lt;/a&gt;&lt;br /&gt;
 p = 2.7580875 Cps([2,3,5,7,11], 2) and Cps([2,3,5,7,11], 3), the 2)5 and 3)5 dekanys&lt;br /&gt;
 p = 3.1062837 &lt;a class="wiki_link" href="/hexany"&gt;hexany&lt;/a&gt;&lt;br /&gt;