Werckismic temperaments

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Revision as of 02:44, 13 December 2010 by Wikispaces>genewardsmith (**Imported revision 187632161 - Original comment: **)
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This revision was by author genewardsmith and made on 2010-12-13 02:44:19 UTC.
The original revision id was 187632161.
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:

These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.

Minimax tuning
[|1 0 0 0 0>, |1/2 2/3 1/6 -1/3 1/6>, |0 0 1 0 0>, 
|1 -2/3 1/3 1/3 1/3>, |0 0 0 0 1>]
Eigenmonzos: 2, 5, 11, 9/7

Map: [<1 0 0 0 -3|, <0 1 0 0 2|, <0 0 1 0 -1|, <0 0 0 1 2|]

==Babar==
Commas: 441/400, 4000/3993

Minimax tuning
[|1 0 0 0 0>, |4/17 12/17 0 -6/17 6/17>, 
|-27/17 4/17 0 -2/17 19/17>, 
|8/17 -10/17 0 5/17 12/17>, |0 0 0 0 1>]
Eigenmonzos: 2, 11, 9/7

Map: [<1 2 0 0 1|, <0 -6 0 7 2|, <0 0 1 1 1|]

Original HTML content:

<html><head><title>Werckismic temperaments</title></head><body>These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.<br />
<br />
Minimax tuning<br />
[|1 0 0 0 0&gt;, |1/2 2/3 1/6 -1/3 1/6&gt;, |0 0 1 0 0&gt;, <br />
|1 -2/3 1/3 1/3 1/3&gt;, |0 0 0 0 1&gt;]<br />
Eigenmonzos: 2, 5, 11, 9/7<br />
<br />
Map: [&lt;1 0 0 0 -3|, &lt;0 1 0 0 2|, &lt;0 0 1 0 -1|, &lt;0 0 0 1 2|]<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Babar"></a><!-- ws:end:WikiTextHeadingRule:0 -->Babar</h2>
Commas: 441/400, 4000/3993<br />
<br />
Minimax tuning<br />
[|1 0 0 0 0&gt;, |4/17 12/17 0 -6/17 6/17&gt;, <br />
|-27/17 4/17 0 -2/17 19/17&gt;, <br />
|8/17 -10/17 0 5/17 12/17&gt;, |0 0 0 0 1&gt;]<br />
Eigenmonzos: 2, 11, 9/7<br />
<br />
Map: [&lt;1 2 0 0 1|, &lt;0 -6 0 7 2|, &lt;0 0 1 1 1|]</body></html>