17edo tetrachords
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2009-04-29 15:40:45 UTC.
- The original revision id was 70459387.
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Original Wikitext content:
A "17edo tetrachord," for the purposes of this naming system, will mean a set of four pitches in [[17edo]] that span a perfect fourth (seven degrees) and include one of each of these: # 'The unison' in 17edo means 0 (degrees of 17edo) and has the solfege name 'do'. # 'Seconds' in 17edo include 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second). # 'Thirds' in 17edo include 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third). # 'The perfect fourth' in 17edo means 7 (fa). ===Correspondance:=== || degrees || cents || name || solfege || || 0 || 0 || unison || do || || 1 || 71 || minor second (a.k.a third-tone) || ra || || 2 || 141 || neutral second (a.k.a. two-thirds-tone) || ru || || 3 || 212 || major second (a.k.a. tone) || re || || 4 || 282 || minor third (a.k.a. subminor third) || me || || 5 || 353 || neutral third || mu || || 6 || 424 || major third (a.k.a. supermajor third) || mi || || 7 || 494 || perfect fourth || fa || ===Tetrachord notation=== Tetrachord notation will show three steps (as degrees of 17edo) separated by hyphens. For instance, tetrachord 3-3-1 consists of 0 (do), the unison, a given; 3 (re), a note 3 degrees up from 0 (do), a second; 6 (mi), a note 3 degrees up from 3 (mi), a third; and 7 (fa), the perfect fourth. The numbers in a tetrachord name will always add to 7. ===The tetrachords=== || tetrachord notation || solfege || name (suggestions?) || || 1-3-3 || do ra me fa || phrygian || || 1-4-2 || do ra mu fa || || || 1-5-1 || do ra mi fa || balkan || || 2-2-3 || do ru me fa || || || 2-3-2 || do ru mu fa || || || 2-4-1 || do ru mi fa || || || 3-1-3 || do re me fa || aolian || || 3-2-2 || do re mu fa || || || 3-3-1 || do re mi fa || ionian ||
Original HTML content:
<html><head><title>17edo tetrachords</title></head><body>A "17edo tetrachord," for the purposes of this naming system, will mean a set of four pitches in <a class="wiki_link" href="/17edo">17edo</a> that span a perfect fourth (seven degrees) and include one of each of these:<br />
<br />
<ol><li>'The unison' in 17edo means 0 (degrees of 17edo) and has the solfege name 'do'.</li><li>'Seconds' in 17edo include 1 (ra, a minor second), 2 (ru, a neutral second), and 3 (re, a major second).</li><li>'Thirds' in 17edo include 4 (me, a minor third), 5 (mu, a neutral third), and 6 (mi, a major third).</li><li>'The perfect fourth' in 17edo means 7 (fa).</li></ol><br />
<!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Correspondance:"></a><!-- ws:end:WikiTextHeadingRule:0 -->Correspondance:</h3>
<table class="wiki_table">
<tr>
<td>degrees<br />
</td>
<td>cents<br />
</td>
<td>name<br />
</td>
<td>solfege<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
<td>unison<br />
</td>
<td>do<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>71<br />
</td>
<td>minor second (a.k.a third-tone)<br />
</td>
<td>ra<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>141<br />
</td>
<td>neutral second (a.k.a. two-thirds-tone)<br />
</td>
<td>ru<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>212<br />
</td>
<td>major second (a.k.a. tone)<br />
</td>
<td>re<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>282<br />
</td>
<td>minor third (a.k.a. subminor third)<br />
</td>
<td>me<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>353<br />
</td>
<td>neutral third<br />
</td>
<td>mu<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>424<br />
</td>
<td>major third (a.k.a. supermajor third)<br />
</td>
<td>mi<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>494<br />
</td>
<td>perfect fourth<br />
</td>
<td>fa<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x--Tetrachord notation"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrachord notation</h3>
<br />
Tetrachord notation will show three steps (as degrees of 17edo) separated by hyphens.<br />
<br />
For instance, tetrachord 3-3-1 consists of<br />
0 (do), the unison, a given;<br />
3 (re), a note 3 degrees up from 0 (do), a second;<br />
6 (mi), a note 3 degrees up from 3 (mi), a third; and<br />
7 (fa), the perfect fourth.<br />
<br />
The numbers in a tetrachord name will always add to 7.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x--The tetrachords"></a><!-- ws:end:WikiTextHeadingRule:4 -->The tetrachords</h3>
<br />
<table class="wiki_table">
<tr>
<td>tetrachord notation<br />
</td>
<td>solfege<br />
</td>
<td>name (suggestions?)<br />
</td>
</tr>
<tr>
<td>1-3-3<br />
</td>
<td>do ra me fa<br />
</td>
<td>phrygian<br />
</td>
</tr>
<tr>
<td>1-4-2<br />
</td>
<td>do ra mu fa<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>1-5-1<br />
</td>
<td>do ra mi fa<br />
</td>
<td>balkan<br />
</td>
</tr>
<tr>
<td>2-2-3<br />
</td>
<td>do ru me fa<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>2-3-2<br />
</td>
<td>do ru mu fa<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>2-4-1<br />
</td>
<td>do ru mi fa<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>3-1-3<br />
</td>
<td>do re me fa<br />
</td>
<td>aolian<br />
</td>
</tr>
<tr>
<td>3-2-2<br />
</td>
<td>do re mu fa<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>3-3-1<br />
</td>
<td>do re mi fa<br />
</td>
<td>ionian<br />
</td>
</tr>
</table>
</body></html>