Diamond function: Difference between revisions

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The Diamond can also be thought of as being formed by the common tone modulations of all the elements in a set. It is also known as a Lambdoma

The scale steps of the tonality diamond are superparticular ratios, but they are not very evenly distributed. Filling in the gaps, as Harry Partch did with the 11-limit diamond to create a constant structure for his famous Genesis scale, is one way to go about constructing a just intonation scale. A constant structure is where each occurrence of a ratio will always have the same number of scale steps. While this is not completely possible with the 11-limit diamond, Partch was able to do so except in two places. This makes his 43 tone scale related to a 41 tone constant structure with two alternates.

=Scales=
[[diamond5]]
[[diamond7]]
[[diamond9]]
[[diamond11]]
[[diamond13]]
[[diamond15]]

[[diamond9plus-marvel]]

=Music=
[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/GWS%20Scale%20Study-ModernJazzAtTheCrystalBall%20.mp3|Modern Jazz at the Crystal Call]] by Norbert Oldani in the 7-limit diamond.
==see also== 
* [[http://en.wikipedia.org/wiki/Tonality_diamond|Tonality diamond -- Wikipedia]]

Original HTML content:

<html><head><title>Diamonds</title></head><body>The Diamond can also be thought of as being formed by the common tone modulations of all the elements in a set. It is also known as a Lambdoma<br />
<br />
The scale steps of the tonality diamond are superparticular ratios, but they are not very evenly distributed. Filling in the gaps, as Harry Partch did with the 11-limit diamond to create a constant structure for his famous Genesis scale, is one way to go about constructing a just intonation scale. A constant structure is where each occurrence of a ratio will always have the same number of scale steps. While this is not completely possible with the 11-limit diamond, Partch was able to do so except in two places. This makes his 43 tone scale related to a 41 tone constant structure with two alternates.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
<a class="wiki_link" href="/diamond5">diamond5</a><br />
<a class="wiki_link" href="/diamond7">diamond7</a><br />
<a class="wiki_link" href="/diamond9">diamond9</a><br />
<a class="wiki_link" href="/diamond11">diamond11</a><br />
<a class="wiki_link" href="/diamond13">diamond13</a><br />
<a class="wiki_link" href="/diamond15">diamond15</a><br />
<br />
<a class="wiki_link" href="/diamond9plus-marvel">diamond9plus-marvel</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music</h1>
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/GWS%20Scale%20Study-ModernJazzAtTheCrystalBall%20.mp3" rel="nofollow">Modern Jazz at the Crystal Call</a> by Norbert Oldani in the 7-limit diamond.<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Music-see also"></a><!-- ws:end:WikiTextHeadingRule:4 -->see also</h2>
 <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow">Tonality diamond -- Wikipedia</a></li></ul></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:genewardsmith|genewardsmith]] and made on <tt>2011-07-06 19:30:37 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-06 19:35:05 UTC</tt>.<br>
-: The original revision id was <tt>240276831</tt>.<br>
+: The original revision id was <tt>240277337</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 20: / Line 20: @@
 [[diamond9plus-marvel]]
+=Music=
+[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/GWS%20Scale%20Study-ModernJazzAtTheCrystalBall%20.mp3|Modern Jazz at the Crystal Call]] by Norbert Oldani in the 7-limit diamond.
 ==see also==
 * [[http://en.wikipedia.org/wiki/Tonality_diamond|Tonality diamond -- Wikipedia]]</pre></div>
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 &lt;a class="wiki_link" href="/diamond9plus-marvel"&gt;diamond9plus-marvel&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="Scales-see also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;see also&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Music&lt;/h1&gt;
+&lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/GWS%20Scale%20Study-ModernJazzAtTheCrystalBall%20.mp3" rel="nofollow"&gt;Modern Jazz at the Crystal Call&lt;/a&gt; by Norbert Oldani in the 7-limit diamond.&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Music-see also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;see also&lt;/h2&gt;
   &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow"&gt;Tonality diamond -- Wikipedia&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Diamond function: Difference between revisions

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