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Wikispaces>genewardsmith
**Imported revision 264267457 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 264271370 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-10-13 00:57:13 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-13 01:28:53 UTC</tt>.<br>
: The original revision id was <tt>264267457</tt>.<br>
: The original revision id was <tt>264271370</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>
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[1, 655360/531441, 81920/59049, 1280/729]]
[1, 655360/531441, 81920/59049, 1280/729]]


If c is a chord identifier, [c[1] c[2] c[3]], c[2] and c[3] integers and 0 &lt; c[1] &lt; 72, then if u = n - 6c[2] - 9c[3] and v = u mod 4 we may define note(n, c) = 2^((u-v)/4) 3^c[2] 5^c[3] chords(c[1]). The steps of the 71 chords are as follows:


* 5-limit JI
6/5-5/4-6/5-10/9
* 7-limit JI
5/4-6/5-7/6-8/7
6/5-5/4-8/7-7/6
9/7-7/6-6/5-10/9
7/6-9/7-10/9-6/5
7/6-9/7-7/6-8/7
* 11-limit JI
5/4-6/5-11/9-12/11
6/5-5/4-12/11-11/9
9/7-7/6-12/11-11/9
7/6-9/7-11/9-12/11
9/8-11/9-14/11-8/7
14/11-11/9-9/8-8/7
5/4-11/10-14/11-8/7
5/4-8/7-14/11-11/10
11/10-14/11-9/7-10/9
* 13-limit JI
15/13-13/11-11/9-6/5
11/9-13/11-15/13-6/5
9/8-11/9-13/11-16/13
13/11-11/9-9/8-16/13
15/13-13/10-10/9-6/5
13/10-15/13-6/5-10/9
10/9-9/8-16/13-13/10
5/4-11/10-13/11-16/13
13/11-11/10-5/4-16/13
9/7-14/11-11/10-10/9
9/8-10/9-13/10-16/13
* 441/440 tempered
5/4-8/7-11/9-8/7
9/8-14/11-11/10-14/11
11/9-9/8-14/11-8/7
9/8-11/9-8/7-14/11
9/8-8/7-11/9-14/11
9/8-14/11-11/9-8/7
8/7-11/9-9/7-10/9
9/7-11/9-8/7-10/9
* 896/891 tempered
9/8-11/9-9/8-9/7
9/8-11/9-9/7-9/8
11/9-9/8-9/8-9/7
* 196/195 tempered
7/6-6/5-7/6-16/13
* 352/351 tempered
9/8-13/10-5/4-12/11
11/9-16/13-9/8-13/11
15/13-13/10-9/8-13/11
9/8-10/9-16/13-13/10
5/4-13/10-9/8-12/11
13/10-9/8-16/13-10/9
11/9-16/13-10/9-6/5
9/8-13/10-10/9-16/13
11/9-16/13-11/9-12/11
16/13-11/9-9/8-13/11
16/13-11/9-13/11-9/8
16/13-11/9-6/5-10/9
11/9-16/13-13/11-9/8
13/10-15/13-13/11-9/8
10/9-9/8-13/10-16/13
* 364/363 tempered
13/11-14/11-8/7-7/6
13/11-14/11-11/9-12/11
11/9-13/11-12/11-14/11
13/11-14/11-12/11-11/9
12/11-13/11-11/9-14/11
14/11-13/11-12/11-11/9
14/11-13/11-7/6-8/7
13/11-7/6-13/11-16/13
14/11-13/11-11/9-12/11
* {196/195, 352/351} tempered
11/9-16/13-7/6-8/7
16/13-11/9-8/7-7/6
* {196/195, 363/363} tempered
7/6-13/11-13/11-16/13
13/11-13/11-7/6-16/13
* {352/351, 364/363] tempered
7/6-9/7-9/8-13/11
14/11-13/11-9/8-13/11
9/7-7/6-13/11-9/8
* Pele {196/195, 352/351, 364/363} tempered
13/11-14/11-9/8-13/11
14/11-13/11-13/11-9/8]]:


=5et tablets=
=5et tablets=
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[1, 655360/531441, 81920/59049, 1280/729]]&lt;br /&gt;
[1, 655360/531441, 81920/59049, 1280/729]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If c is a chord identifier, [c[1] c[2] c[3]], c[2] and c[3] integers and 0 &amp;lt; c[1] &amp;lt; 72, then if u = n - 6c[2] - 9c[3] and v = u mod 4 we may define note(n, c) = 2^((u-v)/4) 3^c[2] 5^c[3] chords(c[1]). The steps of the 71 chords are as follows:&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;5-limit JI&lt;/li&gt;&lt;/ul&gt;6/5-5/4-6/5-10/9&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;7-limit JI&lt;/li&gt;&lt;/ul&gt;5/4-6/5-7/6-8/7&lt;br /&gt;
6/5-5/4-8/7-7/6&lt;br /&gt;
9/7-7/6-6/5-10/9&lt;br /&gt;
7/6-9/7-10/9-6/5&lt;br /&gt;
7/6-9/7-7/6-8/7&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;11-limit JI&lt;/li&gt;&lt;/ul&gt;5/4-6/5-11/9-12/11&lt;br /&gt;
6/5-5/4-12/11-11/9&lt;br /&gt;
9/7-7/6-12/11-11/9&lt;br /&gt;
7/6-9/7-11/9-12/11&lt;br /&gt;
9/8-11/9-14/11-8/7&lt;br /&gt;
14/11-11/9-9/8-8/7&lt;br /&gt;
5/4-11/10-14/11-8/7&lt;br /&gt;
5/4-8/7-14/11-11/10&lt;br /&gt;
11/10-14/11-9/7-10/9&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;13-limit JI&lt;/li&gt;&lt;/ul&gt;15/13-13/11-11/9-6/5&lt;br /&gt;
11/9-13/11-15/13-6/5&lt;br /&gt;
9/8-11/9-13/11-16/13&lt;br /&gt;
13/11-11/9-9/8-16/13&lt;br /&gt;
15/13-13/10-10/9-6/5&lt;br /&gt;
13/10-15/13-6/5-10/9&lt;br /&gt;
10/9-9/8-16/13-13/10&lt;br /&gt;
5/4-11/10-13/11-16/13&lt;br /&gt;
13/11-11/10-5/4-16/13&lt;br /&gt;
9/7-14/11-11/10-10/9&lt;br /&gt;
9/8-10/9-13/10-16/13&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;441/440 tempered&lt;/li&gt;&lt;/ul&gt;5/4-8/7-11/9-8/7&lt;br /&gt;
9/8-14/11-11/10-14/11&lt;br /&gt;
11/9-9/8-14/11-8/7&lt;br /&gt;
9/8-11/9-8/7-14/11&lt;br /&gt;
9/8-8/7-11/9-14/11&lt;br /&gt;
9/8-14/11-11/9-8/7&lt;br /&gt;
8/7-11/9-9/7-10/9&lt;br /&gt;
9/7-11/9-8/7-10/9&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;896/891 tempered&lt;/li&gt;&lt;/ul&gt;9/8-11/9-9/8-9/7&lt;br /&gt;
9/8-11/9-9/7-9/8&lt;br /&gt;
11/9-9/8-9/8-9/7&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;196/195 tempered&lt;/li&gt;&lt;/ul&gt;7/6-6/5-7/6-16/13&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;352/351 tempered&lt;/li&gt;&lt;/ul&gt;9/8-13/10-5/4-12/11&lt;br /&gt;
11/9-16/13-9/8-13/11&lt;br /&gt;
15/13-13/10-9/8-13/11&lt;br /&gt;
9/8-10/9-16/13-13/10&lt;br /&gt;
5/4-13/10-9/8-12/11&lt;br /&gt;
13/10-9/8-16/13-10/9&lt;br /&gt;
11/9-16/13-10/9-6/5&lt;br /&gt;
9/8-13/10-10/9-16/13&lt;br /&gt;
11/9-16/13-11/9-12/11&lt;br /&gt;
16/13-11/9-9/8-13/11&lt;br /&gt;
16/13-11/9-13/11-9/8&lt;br /&gt;
16/13-11/9-6/5-10/9&lt;br /&gt;
11/9-16/13-13/11-9/8&lt;br /&gt;
13/10-15/13-13/11-9/8&lt;br /&gt;
10/9-9/8-13/10-16/13&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;364/363 tempered&lt;/li&gt;&lt;/ul&gt;13/11-14/11-8/7-7/6&lt;br /&gt;
13/11-14/11-11/9-12/11&lt;br /&gt;
11/9-13/11-12/11-14/11&lt;br /&gt;
13/11-14/11-12/11-11/9&lt;br /&gt;
12/11-13/11-11/9-14/11&lt;br /&gt;
14/11-13/11-12/11-11/9&lt;br /&gt;
14/11-13/11-7/6-8/7&lt;br /&gt;
13/11-7/6-13/11-16/13&lt;br /&gt;
14/11-13/11-11/9-12/11&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;{196/195, 352/351} tempered&lt;/li&gt;&lt;/ul&gt;11/9-16/13-7/6-8/7&lt;br /&gt;
16/13-11/9-8/7-7/6&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;{196/195, 363/363} tempered&lt;/li&gt;&lt;/ul&gt;7/6-13/11-13/11-16/13&lt;br /&gt;
13/11-13/11-7/6-16/13&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;{352/351, 364/363] tempered&lt;/li&gt;&lt;/ul&gt;7/6-9/7-9/8-13/11&lt;br /&gt;
14/11-13/11-9/8-13/11&lt;br /&gt;
9/7-7/6-13/11-9/8&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Pele {196/195, 352/351, 364/363} tempered&lt;/li&gt;&lt;/ul&gt;13/11-14/11-9/8-13/11&lt;br /&gt;
14/11-13/11-13/11-9/8]]:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x5et tablets"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;5et tablets&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x5et tablets"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;5et tablets&lt;/h1&gt;
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