Tetrachord: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 87915917 - Original comment: ** |
Wikispaces>seraph57 **Imported revision 105683597 - Original comment: link to my blog entry** |
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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: | : This revision was by author [[User:seraph57|seraph57]] and made on <tt>2009-11-27 18:06:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>105683597</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>link to my blog entry</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= | |||
An example: | |||
[[http://www.seraph.it/dep/det/GloriousGuitars.mp3|Glorious Guitars]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html|blog entry]]) | |||
=More Than Three Divisions= | =More Than Three Divisions= | ||
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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: <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/11edo">11edo</a>, <a class="wiki_link" href="/13edo">13edo</a>, <a class="wiki_link" href="/16edo">16edo</a>. 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 &quot;tetrachord&quot; stop being useful?<br /> | 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: <a class="wiki_link" href="/6edo">6edo</a>, <a class="wiki_link" href="/8edo">8edo</a>, <a class="wiki_link" href="/9edo">9edo</a>, <a class="wiki_link" href="/11edo">11edo</a>, <a class="wiki_link" href="/13edo">13edo</a>, <a class="wiki_link" href="/16edo">16edo</a>. 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 &quot;tetrachord&quot; stop being useful?<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Tetrachords And Non-Octave Scales"></a><!-- ws:end:WikiTextHeadingRule:26 -->Tetrachords And Non-Octave Scales</h1> | |||
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An example:<br /> | |||
<a class="wiki_link_ext" href="http://www.seraph.it/dep/det/GloriousGuitars.mp3" rel="nofollow">Glorious Guitars</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/e8a36018d6b782c8ff7bc2416fa7ea5b-47.html" rel="nofollow">blog entry</a>)<br /> | |||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="More Than Three Divisions"></a><!-- ws:end:WikiTextHeadingRule:28 -->More Than Three Divisions</h1> | ||
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If you chop a fourth up into more than three steps, is it still useful to call it a &quot;tetrachord&quot;? I don't know, and barely care. If you find it useful, do it!</body></html></pre></div> | If you chop a fourth up into more than three steps, is it still useful to call it a &quot;tetrachord&quot;? I don't know, and barely care. If you find it useful, do it!</body></html></pre></div> | ||