Tetrachord: Difference between revisions
Wikispaces>hstraub **Imported revision 318988708 - 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:hstraub|hstraub]] and made on <tt>2012-04-10 | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2012-04-10 06:13:53 UTC</tt>.<br> | ||
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//Tetrachords are modules from which more complex scalar and harmonic structures may be built. These structures range from the simple heptatonic scales known to the classical civilizations of the eastern Medditterranean to experimental gamuts with many tones. Furthermore, the traditional scales of much of the world's music, including that of Europe, the [[Arabic, Turkish, Persian|Near East]], the Catholic and Orthodox churches, Iran and India, are still based on tetrachords. Tetrachords are thus basic to an understanding of much of the world's music.// | //Tetrachords are modules from which more complex scalar and harmonic structures may be built. These structures range from the simple heptatonic scales known to the classical civilizations of the eastern Medditterranean to experimental gamuts with many tones. Furthermore, the traditional scales of much of the world's music, including that of Europe, the [[Arabic, Turkish, Persian|Near East]], the Catholic and Orthodox churches, Iran and India, are still based on tetrachords. Tetrachords are thus basic to an understanding of much of the world's music.// | ||
Related pages: [[22edo tetrachords]], [[17edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]] | Related pages: [[22edo tetrachords]], [[17edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]], [[Armodue armonia#Creating%20scales%20with%20Armodue:%20modal%20systems-Modal%20systems%20based%20on%20tetrachords%20and%20pentachords|16edo tetrachords]] | ||
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Note that these tetrachords are all rotations of each other, and in terms of Greek genera, they are all "diatonic" (because the largest interval, or characteristic interval, at 240 cents, is less than 250 cents). | Note that these tetrachords are all rotations of each other, and in terms of Greek genera, they are all "diatonic" (because the largest interval, or characteristic interval, at 240 cents, is less than 250 cents). | ||
See also: [[17edo tetrachords]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]] (tetrachords of [[31edo]]). If you'd like to wrestle some tetrachords out of an equal temperament, please consider making a page for them and linking to that page from here! | See also: [[Armodue armonia#Creating%20scales%20with%20Armodue:%20modal%20systems-Modal%20systems%20based%20on%20tetrachords%20and%20pentachords|16edo tetrachords]], [[17edo tetrachords]], [[22edo tetrachords]], [[Tricesimoprimal Tetrachordal Tesseract]] (tetrachords of [[31edo]]). If you'd like to wrestle some tetrachords out of an equal temperament, please consider making a page for them and linking to that page from here! | ||
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<em>Tetrachords are modules from which more complex scalar and harmonic structures may be built. These structures range from the simple heptatonic scales known to the classical civilizations of the eastern Medditterranean to experimental gamuts with many tones. Furthermore, the traditional scales of much of the world's music, including that of Europe, the <a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">Near East</a>, the Catholic and Orthodox churches, Iran and India, are still based on tetrachords. Tetrachords are thus basic to an understanding of much of the world's music.</em><br /> | <em>Tetrachords are modules from which more complex scalar and harmonic structures may be built. These structures range from the simple heptatonic scales known to the classical civilizations of the eastern Medditterranean to experimental gamuts with many tones. Furthermore, the traditional scales of much of the world's music, including that of Europe, the <a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">Near East</a>, the Catholic and Orthodox churches, Iran and India, are still based on tetrachords. Tetrachords are thus basic to an understanding of much of the world's music.</em><br /> | ||
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Related pages: <a class="wiki_link" href="/22edo%20tetrachords">22edo tetrachords</a>, <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>, <a class="wiki_link" href="/Tricesimoprimal%20Tetrachordal%20Tesseract">Tricesimoprimal Tetrachordal Tesseract</a><br /> | Related pages: <a class="wiki_link" href="/22edo%20tetrachords">22edo tetrachords</a>, <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>, <a class="wiki_link" href="/Tricesimoprimal%20Tetrachordal%20Tesseract">Tricesimoprimal Tetrachordal Tesseract</a>, <a class="wiki_link" href="/Armodue%20armonia#Creating%20scales%20with%20Armodue:%20modal%20systems-Modal%20systems%20based%20on%20tetrachords%20and%20pentachords">16edo tetrachords</a><br /> | ||
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<!-- ws:start:WikiTextTocRule:30:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><a href="#Ancient Greek Genera">Ancient Greek Genera</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Ajnas (tetrachords in middle-eastern music)">Ajnas (tetrachords in middle-eastern music)</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Tetrachords Generalized">Tetrachords Generalized</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Tetrachords in equal temperaments">Tetrachords in equal temperaments</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --> | <a href="#Dividing Other-Than-Perfect Fourths">Dividing Other-Than-Perfect Fourths</a><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#Tetrachords And Non-Octave Scales">Tetrachords And Non-Octave Scales</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | <!-- ws:start:WikiTextTocRule:30:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><a href="#Ancient Greek Genera">Ancient Greek Genera</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Ajnas (tetrachords in middle-eastern music)">Ajnas (tetrachords in middle-eastern music)</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Tetrachords Generalized">Tetrachords Generalized</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Tetrachords in equal temperaments">Tetrachords in equal temperaments</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --> | <a href="#Dividing Other-Than-Perfect Fourths">Dividing Other-Than-Perfect Fourths</a><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --> | <a href="#Tetrachords And Non-Octave Scales">Tetrachords And Non-Octave Scales</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | ||
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Note that these tetrachords are all rotations of each other, and in terms of Greek genera, they are all &quot;diatonic&quot; (because the largest interval, or characteristic interval, at 240 cents, is less than 250 cents).<br /> | Note that these tetrachords are all rotations of each other, and in terms of Greek genera, they are all &quot;diatonic&quot; (because the largest interval, or characteristic interval, at 240 cents, is less than 250 cents).<br /> | ||
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See also: <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>, <a class="wiki_link" href="/22edo%20tetrachords">22edo tetrachords</a>, <a class="wiki_link" href="/Tricesimoprimal%20Tetrachordal%20Tesseract">Tricesimoprimal Tetrachordal Tesseract</a> (tetrachords of <a class="wiki_link" href="/31edo">31edo</a>). If you'd like to wrestle some tetrachords out of an equal temperament, please consider making a page for them and linking to that page from here!<br /> | See also: <a class="wiki_link" href="/Armodue%20armonia#Creating%20scales%20with%20Armodue:%20modal%20systems-Modal%20systems%20based%20on%20tetrachords%20and%20pentachords">16edo tetrachords</a>, <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>, <a class="wiki_link" href="/22edo%20tetrachords">22edo tetrachords</a>, <a class="wiki_link" href="/Tricesimoprimal%20Tetrachordal%20Tesseract">Tricesimoprimal Tetrachordal Tesseract</a> (tetrachords of <a class="wiki_link" href="/31edo">31edo</a>). If you'd like to wrestle some tetrachords out of an equal temperament, please consider making a page for them and linking to that page from here!<br /> | ||
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