Thirteen limit tetrads - Revision history

FloraC: Recategorize; +todo

2023-05-23T12:01:23Z

Recategorize; +todo

← Older revision		Revision as of 12:01, 23 May 2023
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	There are four [[13-limit]] [[Tetrad\|tetrads]] with smallest [[Step\|steps]] all larger than [[11/10]]; these are the [[Otonality and utonality\|otonal]] chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their [[Otonality and utonality\|utonal]] counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.		There are four [[13-limit]] [[Tetrad\|tetrads]] with smallest [[Step\|steps]] all larger than [[11/10]]; these are the [[Otonality and utonality\|otonal]] chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their [[Otonality and utonality\|utonal]] counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.

	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:~~tetrad~~]]		[[Category:Tetrads]]
	~~[[Category:todo:expand]]~~
			{{Todo\| review \| discuss title }}

BudjarnLambeth: Added links (as requested by the to:do notice)

2023-04-20T08:04:16Z

Added links (as requested by the to:do notice)

← Older revision		Revision as of 08:04, 20 April 2023
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	There are four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.		There are four [[13-limit]] [[Tetrad\|tetrads]] with smallest [[Step\|steps]] all larger than [[11/10]]; these are the [[Otonality and utonality\|otonal]] chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their [[Otonality and utonality\|utonal]] counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.
	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:tetrad]]		[[Category:tetrad]]
	~~[[Category:todo:add_links]]~~
	[[Category:todo:expand]]		[[Category:todo:expand]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		There are four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:13-limit]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-08-04 02:58:27 UTC</tt>.<br>~~		[[Category:tetrad]]
	~~: The original revision id was <tt>244259483</tt>.<br>~~		[[Category:todo:add_links]]
	~~: The revision comment was: <tt></tt><br>~~		[[Category:todo:expand]]
	~~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 four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.~~</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>thirteen limit tetrads</title></head><body>There are four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 244259483 - Original comment:

2011-08-04T02:58:27Z

**Imported revision 244259483 - 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>2011-08-04 02:58:27 UTC</tt>.<br>
: The original revision id was <tt>244259483</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 four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.</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>thirteen limit tetrads</title></head><body>There are four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.</body></html></pre></div>

Thirteen limit tetrads - Revision history

FloraC: Recategorize; +todo

BudjarnLambeth: Added links (as requested by the to:do notice)

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 244259483 - Original comment: **

Wikispaces>genewardsmith: Imported revision 244259483 - Original comment: