Orwell tetrad: Difference between revisions

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<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:~~xenwolf~~|~~xenwolf~~]] and made on <tt>~~2011~~-10-~~19 03~~:06:36 UTC</tt>.<br>

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-03-14 08:49:51 UTC</tt>.<br>

: The original revision id was <tt>~~266274248~~</tt>.<br>

: The original revision id was <tt>544074014</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">The **orwell tetrad** is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7_6|7/6]] in size, and a major third, of approximately [[5_4|5/4]] in size, which closes at the octave since the [[orwell comma]], 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.

[[media type="file" key="OrwellTetrad22edo.mp3"]]

Orwell tetrad, in 22edo tuning

The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.

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[[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3|Swing, Swing, Swing]]</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>orwell tetrad</title></head><body>The <strong>orwell tetrad</strong> is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately <a class="wiki_link" href="/7_6">7/6</a> in size, and a major third, of approximately <a class="wiki_link" href="/5_4">5/4</a> in size, which closes at the octave since the <a class="wiki_link" href="/orwell%20comma">orwell comma</a>, 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137. <br />

<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>orwell tetrad</title></head><body>The <strong>orwell tetrad</strong> is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately <a class="wiki_link" href="/7_6">7/6</a> in size, and a major third, of approximately <a class="wiki_link" href="/5_4">5/4</a> in size, which closes at the octave since the <a class="wiki_link" href="/orwell%20comma">orwell comma</a>, 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.<br />

<br />

<embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252FOrwellTetrad22edo.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><br />

Orwell tetrad, in 22edo tuning<br />

<br />

The orwell tetrad can in a natural way be extended to the <a class="wiki_link" href="/11-limit">11-limit</a> as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit <a class="wiki_link" href="/orwell">orwell</a>. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the <a class="wiki_link" href="/Orwellismic%20family#Guanyin">guanyin</a> tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.<br />

@@ Line 1: / Line 1: @@
 <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:xenwolf|xenwolf]] and made on <tt>2011-10-19 03:06:36 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2015-03-14 08:49:51 UTC</tt>.<br>
-: The original revision id was <tt>266274248</tt>.<br>
+: The original revision id was <tt>544074014</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">The **orwell tetrad** is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately [[7_6|7/6]] in size, and a major third, of approximately [[5_4|5/4]] in size, which closes at the octave since the [[orwell comma]], 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.
+[[media type="file" key="OrwellTetrad22edo.mp3"]]
+Orwell tetrad, in 22edo tuning
 The orwell tetrad can in a natural way be extended to the [[11-limit]] as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit [[orwell]]. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the [[Orwellismic family#Guanyin|guanyin]] tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.
@@ Line 16: / Line 19: @@
 [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3|Swing, Swing, Swing]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;orwell tetrad&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;orwell tetrad&lt;/strong&gt; is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; in size, and a major third, of approximately &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; in size, which closes at the octave since the &lt;a class="wiki_link" href="/orwell%20comma"&gt;orwell comma&lt;/a&gt;, 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137. &lt;br /&gt;
+<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;orwell tetrad&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;strong&gt;orwell tetrad&lt;/strong&gt; is a four-note chord which in close position (reduced to the octave) consists of a chain of three subminor thirds, thirds of approximately &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; in size, and a major third, of approximately &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; in size, which closes at the octave since the &lt;a class="wiki_link" href="/orwell%20comma"&gt;orwell comma&lt;/a&gt;, 1728/1715, is tempered out; in other words, a 7/6-7/6-7/6-5/4 chord. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137.&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/OrwellTetrad22edo.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;OrwellTetrad22edo.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252FOrwellTetrad22edo.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
+Orwell tetrad, in 22edo tuning&lt;br /&gt;
 &lt;br /&gt;
 The orwell tetrad can in a natural way be extended to the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; as 1-7/6-11/8-8/5 by tempering out 99/98, a comma of 11-limit &lt;a class="wiki_link" href="/orwell"&gt;orwell&lt;/a&gt;. With a bit more accuracy, tempering out 176/175 and so also 540/539 allows it to be seen as the &lt;a class="wiki_link" href="/Orwellismic%20family#Guanyin"&gt;guanyin&lt;/a&gt; tetrad, a tempered version of 1-7/6-15/11-8/5. Equal temperaments with guanyin tetrads include 22, 31, 53, 58, 80 and 111. In orwell temperament, where 121/120 is tempered out, the guanyin and orwell tetrads are the same.&lt;br /&gt;