Dicot-meantone tetrachord arena

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Revision as of 18:56, 12 April 2012 by Wikispaces>genewardsmith (**Imported revision 320002134 - Original comment: **)
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This revision was by author genewardsmith and made on 2012-04-12 18:56:03 UTC.
The original revision id was 320002134.
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:

There are nine divisions of the tetrachord in the dicot-meantone arena. Six of them are dicot-meantone-mavila wakalixes: 9/8-5/4-4/3, 9/8-6/5-4/3, 10/9-5/4-4/3, 10/9-32/27-4/3, 16/15-6/5-4/3, 16/15-32/27-4/3. The other three do not generate the full 5-limit: 10/9-6/5-4/3, 10/9-100/81-4/3, 27/25-6/5-4/3. These all generate the 4/3.8/5 subgroup, and are the rotations of the steps 10/9-27/25-10/9. The others rotate 9/8-10/9-16/15, the Didymos diatonic aka Ptolemy intense diatonic set of steps.

Original HTML content:

<html><head><title>dicot-meantone tetrachord arena</title></head><body>There are nine divisions of the tetrachord in the dicot-meantone arena. Six of them are dicot-meantone-mavila wakalixes: 9/8-5/4-4/3, 9/8-6/5-4/3, 10/9-5/4-4/3, 10/9-32/27-4/3, 16/15-6/5-4/3, 16/15-32/27-4/3. The other three do not generate the full 5-limit: 10/9-6/5-4/3, 10/9-100/81-4/3, 27/25-6/5-4/3. These all generate the 4/3.8/5 subgroup, and are the rotations of the steps 10/9-27/25-10/9. The others rotate 9/8-10/9-16/15, the Didymos diatonic aka Ptolemy intense diatonic set of steps.</body></html>
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