Dicot-meantone tetrachord arena: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 320002134 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 320007372 - 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>2012-04-12 18:56 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-12 19:18:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>320007372</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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. The dicot-mavila arena has the same wakalixes, but instead of the 4/3.8/5 subgroup it has the three rotations of 16/15-75/64-16/15, generating 4/3.5/4. | ||
</pre></div> | </pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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></pre></div> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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. The dicot-mavila arena has the same wakalixes, but instead of the 4/3.8/5 subgroup it has the three rotations of 16/15-75/64-16/15, generating 4/3.5/4.</body></html></pre></div> | ||
Revision as of 19:18, 12 April 2012
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-04-12 19:18:56 UTC.
- The original revision id was 320007372.
- 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. The dicot-mavila arena has the same wakalixes, but instead of the 4/3.8/5 subgroup it has the three rotations of 16/15-75/64-16/15, generating 4/3.5/4.
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. The dicot-mavila arena has the same wakalixes, but instead of the 4/3.8/5 subgroup it has the three rotations of 16/15-75/64-16/15, generating 4/3.5/4.</body></html>