17edo tetrachords: Difference between revisions

Revision as of 15:52, 29 April 2009

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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?) || used in ||
|| 1-3-3 || do ra me fa || phyrgian || diatonic (phrygian) ||
|| 1-4-2 || do ra mu fa ||   ||   ||
|| 1-5-1 || do ra mi fa || balkan ||   ||
|| 2-2-3 || do ru me fa ||   || [[17edo neutral scale]] (led) ||
|| 2-3-2 || do ru mu fa ||   || [[17edo neutral scale]] (bish, fish, jwl) ||
|| 2-4-1 || do ru mi fa ||   ||   ||
|| 3-1-3 || do re me fa || aolian || diatonic (aolian, dorian) ; [[scorp]] (mode 3) ||
|| 3-2-2 || do re mu fa ||   || [[17edo neutral scale]] (dril, gil, kleeth) ||
|| 3-3-1 || do re mi fa || ionian || diatonic (ionian, mixolydian) ||

Another way of showing them:
||   || ra || ru || re ||
|| me || 1-3-3 || 2-2-3 || 3-1-3 ||
|| mu || 1-4-2 || 2-3-2 || 3-2-2 ||
|| mi || 1-5-1 || 2-4-1 || 3-3-1 ||

Original HTML content:

<html><head><title>17edo tetrachords</title></head><body>A &quot;17edo tetrachord,&quot; 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:&lt;h3&gt; --><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:&lt;h3&gt; --><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:&lt;h3&gt; --><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>
        <td>used in<br />
</td>
    </tr>
    <tr>
        <td>1-3-3<br />
</td>
        <td>do ra me fa<br />
</td>
        <td>phyrgian<br />
</td>
        <td>diatonic (phrygian)<br />
</td>
    </tr>
    <tr>
        <td>1-4-2<br />
</td>
        <td>do ra mu fa<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-5-1<br />
</td>
        <td>do ra mi fa<br />
</td>
        <td>balkan<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-2-3<br />
</td>
        <td>do ru me fa<br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a> (led)<br />
</td>
    </tr>
    <tr>
        <td>2-3-2<br />
</td>
        <td>do ru mu fa<br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a> (bish, fish, jwl)<br />
</td>
    </tr>
    <tr>
        <td>2-4-1<br />
</td>
        <td>do ru mi fa<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-1-3<br />
</td>
        <td>do re me fa<br />
</td>
        <td>aolian<br />
</td>
        <td>diatonic (aolian, dorian) ; <a class="wiki_link" href="/scorp">scorp</a> (mode 3)<br />
</td>
    </tr>
    <tr>
        <td>3-2-2<br />
</td>
        <td>do re mu fa<br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a> (dril, gil, kleeth)<br />
</td>
    </tr>
    <tr>
        <td>3-3-1<br />
</td>
        <td>do re mi fa<br />
</td>
        <td>ionian<br />
</td>
        <td>diatonic (ionian, mixolydian)<br />
</td>
    </tr>
</table>

<br />
Another way of showing them:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td>ra<br />
</td>
        <td>ru<br />
</td>
        <td>re<br />
</td>
    </tr>
    <tr>
        <td>me<br />
</td>
        <td>1-3-3<br />
</td>
        <td>2-2-3<br />
</td>
        <td>3-1-3<br />
</td>
    </tr>
    <tr>
        <td>mu<br />
</td>
        <td>1-4-2<br />
</td>
        <td>2-3-2<br />
</td>
        <td>3-2-2<br />
</td>
    </tr>
    <tr>
        <td>mi<br />
</td>
        <td>1-5-1<br />
</td>
        <td>2-4-1<br />
</td>
        <td>3-3-1<br />
</td>
    </tr>
</table>

</body></html>

17edo tetrachords: Difference between revisions

Revision as of 15:52, 29 April 2009

IMPORTED REVISION FROM WIKISPACES

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