17edo tetrachords: Difference between revisions

Wikispaces>hstraub
**Imported revision 522926090 - Original comment: **
Wikispaces>hstraub
**Imported revision 522926172 - 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>2014-09-19 04:38:21 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2014-09-19 04:39:57 UTC</tt>.<br>
: The original revision id was <tt>522926090</tt>.<br>
: The original revision id was <tt>522926172</tt>.<br>
: The revision comment was: <tt></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>
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===correspondance:===  
===correspondance:===  
|| degrees || cents || name || solfege ||
||~ degrees ||~ cents ||~ name ||~ solfege ||
|| 0 || 0 || unison || do ||
|| 0 || 0 || unison || do ||
|| 1 || 71 || minor second (a.k.a third-tone) || ra ||
|| 1 || 71 || minor second (a.k.a third-tone) || ra ||
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We have 9 primary tetrachords in 17edo.
We have 9 primary tetrachords in 17edo.


|| tetrachord notation || solfege || name (suggestions?) || used in ||
||~ tetrachord notation ||~ solfege ||~ name (suggestions?) ||~ used in ||
|| 1-3-3 || do ra me fa || phrygian || diatonic (phrygian) ||
|| 1-3-3 || do ra me fa || phrygian || diatonic (phrygian) ||
|| 1-4-2 || do ra mu fa ||  ||  ||
|| 1-4-2 || do ra mu fa ||  ||  ||
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Another way of showing them:
Another way of showing them:
||  || ra || ru || re ||
||~   ||~ ra ||~ ru ||~ re ||
|| me || 1-3-3 || 2-2-3 || 3-1-3 ||
|| me || 1-3-3 || 2-2-3 || 3-1-3 ||
|| mu || 1-4-2 || 2-3-2 || 3-2-2 ||
|| mu || 1-4-2 || 2-3-2 || 3-2-2 ||
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Thus, by allowing multiples seconds or multiple thirds, we add 6 new tetrachords to our 9 primary tetrachords, for a total of 15. Our new ones:
Thus, by allowing multiples seconds or multiple thirds, we add 6 new tetrachords to our 9 primary tetrachords, for a total of 15. Our new ones:


|| tetrachord notation || solfege || name (suggestions?) || used in ||
||~ tetrachord notation ||~ solfege ||~ name (suggestions?) ||~ used in ||
|| 1-1-5 || do ra ru fa ||  ||  ||
|| 1-1-5 || do ra ru fa ||  ||  ||
|| 1-2-4 || do ra re fa ||  ||  ||
|| 1-2-4 || do ra re fa ||  ||  ||
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;degrees&lt;br /&gt;
         &lt;th&gt;degrees&lt;br /&gt;
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         &lt;td&gt;cents&lt;br /&gt;
         &lt;th&gt;cents&lt;br /&gt;
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         &lt;td&gt;name&lt;br /&gt;
         &lt;th&gt;name&lt;br /&gt;
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         &lt;td&gt;solfege&lt;br /&gt;
         &lt;th&gt;solfege&lt;br /&gt;
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     &lt;/tr&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;tetrachord notation&lt;br /&gt;
         &lt;th&gt;tetrachord notation&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;solfege&lt;br /&gt;
         &lt;th&gt;solfege&lt;br /&gt;
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         &lt;td&gt;name (suggestions?)&lt;br /&gt;
         &lt;th&gt;name (suggestions?)&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;used in&lt;br /&gt;
         &lt;th&gt;used in&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;th&gt;&lt;br /&gt;
&lt;/td&gt;
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         &lt;td&gt;ra&lt;br /&gt;
         &lt;th&gt;ra&lt;br /&gt;
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         &lt;td&gt;ru&lt;br /&gt;
         &lt;th&gt;ru&lt;br /&gt;
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         &lt;td&gt;re&lt;br /&gt;
         &lt;th&gt;re&lt;br /&gt;
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&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;tetrachord notation&lt;br /&gt;
         &lt;th&gt;tetrachord notation&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;solfege&lt;br /&gt;
         &lt;th&gt;solfege&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;name (suggestions?)&lt;br /&gt;
         &lt;th&gt;name (suggestions?)&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;used in&lt;br /&gt;
         &lt;th&gt;used in&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;