Orwell tetrad
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2011-10-19 03:05:53 UTC.
- The original revision id was 266274146.
- 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:
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. 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 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. <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>