Dicot-meantone tetrachord arena - Revision history

BudjarnLambeth: Added links to dead end page

2024-01-09T05:13:46Z

Added links to dead end page

← Older revision		Revision as of 05:13, 9 January 2024
Line 1:		Line 1:
	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.		There are nine divisions of the [[tetrachord]] in the [[dicot]]-[[meantone]] arena. Six of them are dicot-meantone-[[mavila]] [[Wakalix\|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.

	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:Wakalixes]]		[[Category:Wakalixes]]
	[[category:Todo:add definition‏‎]]		[[category:Todo:add definition‏‎]]

Fredg999: Categories

2023-01-13T01:58:06Z

Spt3125: category:Todo:add definition‏‎

2018-12-10T20:16:59Z

category:Todo:add definition‏‎

← Older revision		Revision as of 20:16, 10 December 2018
Line 1:		Line 1:
	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.		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.

			[[category:Todo:add definition‏‎]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
Line 1:		Line 1:
	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		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.
	~~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 19:18:56 UTC</tt>.<br>~~
	~~: The original revision id was <tt>320007372</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>~~
	~~<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. 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>~~
	~~<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. 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>

Wikispaces>genewardsmith: Imported revision 320007372 - Original comment:

2012-04-12T19:18:56Z

**Imported revision 320007372 - Original comment: **

← Older revision		Revision as of 19:18, 12 April 2012
Line 1:		Line 1:
	<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~~:03~~ UTC</tt>.<br>		: 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>~~320002134~~</tt>.<br>		: 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>

Wikispaces>genewardsmith: Imported revision 320002134 - Original comment:

2012-04-12T18:56:03Z

**Imported revision 320002134 - Original comment: **

← Older revision		Revision as of 18:56, 12 April 2012
Line 1:		Line 1:
	<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 18:55:03 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-04-12 18:56:03 UTC</tt>.<br>
	: The original revision id was <tt>~~320001954~~</tt>.<br>		: The original revision id was <tt>320002134</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 diatonic aka 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.
	</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 diatonic aka 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.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 320001954 - Original comment:

2012-04-12T18:55:03Z

**Imported revision 320001954 - Original comment: **

← Older revision		Revision as of 18:55, 12 April 2012
Line 1:		Line 1:
	<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 18:45:58 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-04-12 18:55:03 UTC</tt>.<br>
	: The original revision id was <tt>~~320000154~~</tt>.<br>		: The original revision id was <tt>320001954</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.		<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 diatonic aka intense diatonic set of steps.

	</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.</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 diatonic aka intense diatonic set of steps.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 320000154 - Original comment:

2012-04-12T18:45:58Z

**Imported revision 320000154 - Original comment: **

← Older revision		Revision as of 18:45, 12 April 2012
Line 1:		Line 1:
	<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 18:37:58 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-04-12 18:45:58 UTC</tt>.<br>
	: The original revision id was <tt>~~319998326~~</tt>.<br>		: The original revision id was <tt>320000154</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-~~meaantone~~-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.		<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.

	</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-~~meaantone~~-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.</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.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 319998326 - Original comment:

2012-04-12T18:37:58Z

**Imported revision 319998326 - Original comment: **

New page

<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>2012-04-12 18:37:58 UTC</tt>.<br>
: The original revision id was <tt>319998326</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>
<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-meaantone-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.

</pre></div>
<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-meaantone-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.</body></html></pre></div>

← Older revision		Revision as of 01:58, 13 January 2023
Line 1:		Line 1:
	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.		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.

			[[Category:7-limit]]
			[[Category:Wakalixes]]
	[[category:Todo:add definition‏‎]]		[[category:Todo:add definition‏‎]]

Dicot-meantone tetrachord arena - Revision history

BudjarnLambeth: Added links to dead end page

Fredg999: Categories

Spt3125: category:Todo:add definition‏‎

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 320007372 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 320002134 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 320001954 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 320000154 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 319998326 - Original comment: **

Wikispaces>genewardsmith: Imported revision 320007372 - Original comment:

Wikispaces>genewardsmith: Imported revision 320002134 - Original comment:

Wikispaces>genewardsmith: Imported revision 320001954 - Original comment:

Wikispaces>genewardsmith: Imported revision 320000154 - Original comment:

Wikispaces>genewardsmith: Imported revision 319998326 - Original comment: