|
|
| (14 intermediate revisions by 9 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The '''orwell tetrad''' is a [[tetrad|four-note chord]] which in close position (reduced to the octave) consists of a chain of three [[subminor]] thirds, thirds of approximately [[7/6]] in size, and a major third, of approximately [[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. This chord contains two fifths that are flattened by [[36/35]], which is about a [[quartertone]]. Equal temperaments tempering out 1728/1715 and hence containing orwell tetrads include {{EDOs| 22, 26, 27, 31, 53, 58, 80, 84, 111 and 137 }}. |
| 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>
| |
| : The original revision id was <tt>266274248</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.
| |
|
| |
|
| 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.
| | [[File:OrwellTetrad22edo.mp3]] |
|
| |
|
| 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:
| | Orwell tetrad, in [[22edo]] tuning |
|
| |
|
| [[http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3|Scarlatti K404]]
| | 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 {{EDOs| 22, 31, 53, 58, 80 and 111 }}. In orwell temperament, where [[121/120]] is tempered out, the guanyin and orwell tetrads are the same. |
| [[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]]</pre></div>
| | The tetrad can be extended to a [[15-odd-limit]] ennead, the orwell-tempered version of |
| <h4>Original HTML content:</h4>
| | * 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. |
| <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 />
| | The orwell ennead 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 the [[orwell9-12]] scale. Examples of music retuned in this way are given below: |
| 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 />
| | == Sound examples == |
| 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 /> | | * [https://web.archive.org/web/20201127013259/http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/k404-orwell9.mp3 Scarlatti K404] |
| <br />
| | * [https://web.archive.org/web/20201127013106/http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/reger135b-fantasie-orwell9.mp3 Reger Fantasie op135b] |
| <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 />
| | * [https://web.archive.org/web/20201127012607/http://clones.soonlabel.com/public/micro/gene_ward_smith/transformers/swing-orwell9.mp3 Swing, Swing, Swing] |
| <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></pre></div>
| | == See also == |
| | * [[Chords of orwell]] |
| | |
| | [[Category:11-odd-limit chords]] |
| | [[Category:15-odd-limit chords]] |
| | [[Category:Essentially tempered chords]] |
| | [[Category:Guanyin]] |
| | [[Category:Orwell]] |
| | [[Category:Tetrads]] |
| | [[Category:Listen]] |