Tetrachord: Difference between revisions

Wikispaces>seraph57
**Imported revision 105683597 - Original comment: link to my blog entry**
Wikispaces>seraph57
**Imported revision 105691261 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:seraph57|seraph57]] and made on <tt>2009-11-27 18:06:57 UTC</tt>.<br>
: This revision was by author [[User:seraph57|seraph57]] and made on <tt>2009-11-27 19:42:54 UTC</tt>.<br>
: The original revision id was <tt>105683597</tt>.<br>
: The original revision id was <tt>105691261</tt>.<br>
: The revision comment was: <tt>link to my blog entry</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>
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>
<h4>Original Wikitext content:</h4>
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A composer may choose to treat other-than-perfect fourths as material for constructing tetrachords. Some of the low-number equal temperaments contain diminished or augmented fourths, but nothing resembling a perfect fourth: [[6edo]], [[8edo]], [[9edo]], [[11edo]], [[13edo]], [[16edo]]. Also, one may divide a just other-than-perfect fourth, such as 21/16, 43/32, 26/19, 11/8. At what point does the concept of "tetrachord" stop being useful?
A composer may choose to treat other-than-perfect fourths as material for constructing tetrachords. Some of the low-number equal temperaments contain diminished or augmented fourths, but nothing resembling a perfect fourth: [[6edo]], [[8edo]], [[9edo]], [[11edo]], [[13edo]], [[16edo]]. Also, one may divide a just other-than-perfect fourth, such as 21/16, 43/32, 26/19, 11/8. At what point does the concept of "tetrachord" stop being useful?


=Tetrachords And Non-Octave Scales=
=Tetrachords And Non-Octave Scales=  


An example:
An example with [[Carlos Gamma|Carlos Gamma]]:
[[http://www.seraph.it/dep/det/GloriousGuitars.mp3|Glorious Guitars]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html|blog entry]])
[[http://www.seraph.it/dep/det/GloriousGuitars.mp3|Glorious Guitars]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html|blog entry]])


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&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Tetrachords And Non-Octave Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Tetrachords And Non-Octave Scales&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Tetrachords And Non-Octave Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Tetrachords And Non-Octave Scales&lt;/h1&gt;
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An example:&lt;br /&gt;
An example with &lt;a class="wiki_link" href="/Carlos%20Gamma"&gt;Carlos Gamma&lt;/a&gt;:&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/GloriousGuitars.mp3" rel="nofollow"&gt;Glorious Guitars&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/GloriousGuitars.mp3" rel="nofollow"&gt;Glorious Guitars&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
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