Graph-theoretic properties of scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-04-15 17:47:01 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-04-15 18:13:20 UTC</tt>.<br>

: The original revision id was <tt>~~502714724~~</tt>.<br>

: The original revision id was <tt>502717984</tt>.<br>

: The revision comment was: <tt></tt><br>

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Elfjove7 has three maximal cliques, the pentad 02345 and the two tetrads 0135 and 0246. The scale is a tempering of the transversal 1-8/7-11/9-4/3-3/2-18/11-7/4-2, and so the maximal cliques are temperings of 1-11/9-4/3-3/2-18/11, 1-8/7-4/3-18/11 and 1-11/9-3/2-7/4, which are essentially tempered chords.

Elfjove7 has an edge and vertex connectivity of 3, a radius ~~on1~~ with a diameter of 2, and is of genus 1.

Elfjove7 has an edge and vertex connectivity of 3, a radius of 1 with a diameter of 2, and is of genus 1.

[[image: elfjove7.png]]

[[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's Rations]] by Handrew Heathwaite

=Eight note scales=

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Elfjove7 has three maximal cliques, the pentad 02345 and the two tetrads 0135 and 0246. The scale is a tempering of the transversal 1-8/7-11/9-4/3-3/2-18/11-7/4-2, and so the maximal cliques are temperings of 1-11/9-4/3-3/2-18/11, 1-8/7-4/3-18/11 and 1-11/9-3/2-7/4, which are essentially tempered chords.<br />

<br />

Elfjove7 has an edge and vertex connectivity of 3, a radius ~~on1~~ with a diameter of 2, and is of genus 1.<br />

Elfjove7 has an edge and vertex connectivity of 3, a radius of 1 with a diameter of 2, and is of genus 1.<br />

<br />

<a class="wiki_link" href="http://image.wikispaces.com/%20elfjove7.png">image/ elfjove7.png</a><br />

<br />

[[<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's" rel="nofollow">http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's</a> Rations]] by Handrew Heathwaite<br />

<br />

<h1 id="toc14"><a name="Eight note scales"></a>Eight note scales</h1>

@@ 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>2014-04-15 17:47:01 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-04-15 18:13:20 UTC</tt>.<br>
-: The original revision id was <tt>502714724</tt>.<br>
+: The original revision id was <tt>502717984</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 104: / Line 104: @@
 Elfjove7 has three maximal cliques, the pentad 02345 and the two tetrads 0135 and 0246. The scale is a tempering of the transversal 1-8/7-11/9-4/3-3/2-18/11-7/4-2, and so the maximal cliques are temperings of 1-11/9-4/3-3/2-18/11, 1-8/7-4/3-18/11 and 1-11/9-3/2-7/4, which are essentially tempered chords.
-Elfjove7 has an edge and vertex connectivity of 3, a radius on1 with a diameter of 2, and is of genus 1.
+Elfjove7 has an edge and vertex connectivity of 3, a radius of 1 with a diameter of 2, and is of genus 1.
 [[image: elfjove7.png]]
+[[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's Rations]] by Handrew Heathwaite
 =Eight note scales=
@@ Line 336: / Line 339: @@
 Elfjove7 has three maximal cliques, the pentad 02345 and the two tetrads 0135 and 0246. The scale is a tempering of the transversal 1-8/7-11/9-4/3-3/2-18/11-7/4-2, and so the maximal cliques are temperings of 1-11/9-4/3-3/2-18/11, 1-8/7-4/3-18/11 and 1-11/9-3/2-7/4, which are essentially tempered chords.&lt;br /&gt;
 &lt;br /&gt;
-Elfjove7 has an edge and vertex connectivity of 3, a radius on1 with a diameter of 2, and is of genus 1.&lt;br /&gt;
+Elfjove7 has an edge and vertex connectivity of 3, a radius of 1 with a diameter of 2, and is of genus 1.&lt;br /&gt;
+&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="http://image.wikispaces.com/%20elfjove7.png"&gt;image/ elfjove7.png&lt;/a&gt;&lt;br /&gt;
+&lt;br /&gt;
+[[&lt;!-- ws:start:WikiTextUrlRule:361:http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's --&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's" rel="nofollow"&gt;http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/jupiter's%20rations.mp3Jupiter's&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:361 --&gt; Rations]] by Handrew Heathwaite&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Eight note scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Eight note scales&lt;/h1&gt;