Orwell tetrad
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Original Wikitext content:
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. The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using [[orwell9-12|this scale]]. Examples of music retuned in this way are given below: [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3|Scarlatti K404]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3|Reger Fantasie op135b]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3|Swing, Swing, Swing]]
Original HTML content:
<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 /> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/OrwellTetrad22edo.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;OrwellTetrad22edo.mp3&quot;" title="Local Media File"height="20" width="240"/> --><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><!-- ws:end:WikiTextMediaRule:0 --><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 /> <br /> The tetrad can be extended to a 15-limit nonad, the orwell-tempered version of 1-11/10-7/6-9/7-11/8-3/2-8/5-7/4-15/8, with steps of size 11/10-15/14-11/10-15/14-11/10-15/14-11/10-15/14-15/14. The orwell nonad is the same as the Orwell[9] MOS, considered as a chord. Since it can be considered to be a chord, it is possible to retune music from 12edo to Orwell[9] by using <a class="wiki_link" href="/orwell9-12">this scale</a>. Examples of music retuned in this way are given below:<br /> <br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3" rel="nofollow">Scarlatti K404</a><br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3" rel="nofollow">Reger Fantasie op135b</a><br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3" rel="nofollow">Swing, Swing, Swing</a></body></html>