22edo tetrachords

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Revision as of 20:30, 7 August 2009 by Wikispaces>Andrew_Heathwaite (**Imported revision 83606701 - Original comment: **)
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This revision was by author Andrew_Heathwaite and made on 2009-08-07 20:30:43 UTC.
The original revision id was 83606701.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Chart of all possible [[22edo]] tetrachords (28 altogether):
|| 1-1-7 || 1-2-6 || 1-3-5 || 1-4-4 || 1-5-3 || 1-6-2 || 1-7-1 ||
|| 2-1-6 || 2-2-5 || 2-3-4 || 2-4-3 || 2-5-2 || 2-6-1 ||   ||
|| 3-1-5 || 3-2-4 || 3-3-3 || 3-4-2 || 3-5-1 ||   ||   ||
|| 4-1-4 || 4-2-3 || 4-3-2 || 4-4-1 ||   ||   ||   ||
|| 5-1-3 || 5-2-2 || 5-3-1 ||   ||   ||   ||   ||
|| 6-1-2 || 6-2-1 ||   ||   ||   ||   ||   ||
|| 7-1-1 ||   ||   ||   ||   ||   ||   ||

Primary tetrachords in bold - tetrachords containing exactly one second and one third (16 altogether):

|| tetrachord notation || interval names || [[22edo Solfege|solfege]] || notes ||
|| 1-1-7 || P1 d2 m2 P4 || do di ra fa ||   ||
|| 1-2-6 || P1 d2 N2 P4 || do di ru fa ||   ||
|| 1-3-5 || P1 d2 M2 P4 || do di re fa ||   ||
|| **1-4-4** || **P1 d2 sm3 P4** || **do di ma fa** || found in Superpyth Phrygian ||
|| **1-5-3** || **P1 d2 m3 P4** || **do di me fa** ||   ||
|| **1-6-2** || **P1 d2 M3 P4** || **do di mi fa** ||   ||
|| **1-7-1** || **P1 d2 SM3 P4** || **do di mo fa** ||   ||
|| 2-1-6 || P1 m2 N2 P4 || do ra ru fa ||   ||
|| 2-2-5 || P1 m2 M2 P4 || do ra re fa ||   ||
|| **2-3-4** || **P1 m2 sm3 P4** || **do ra ma fa** ||   ||
|| **2-4-3** || **P1 m2 m3 P4** || **do ra me fa** ||   ||
|| **2-5-2** || **P1 m2 M3 P4** || **do ra mi fa** ||   ||
|| **2-6-1** || **P1 m2 SM3 P4** || **do ra mo fa** ||   ||
|| 3-1-5 || P1 N2 M2 P4 || do ru re fa ||   ||
|| **3-2-4** || **P1 N2 sm3 P4** || **do ru ma fa** ||   ||
|| **3-3-3** || **P1 N2 m3 P4** || **do ru me fa** || perfectly even tetrachord - found in Porcupine tunings ||
|| **3-4-2** || **P1 N2 M3 P4** || **do ru mi fa** ||   ||
|| **3-5-1** || **P1 N2 SM3 P4** || **do ru mo fa** ||   ||
|| **4-1-4** || **P1 M2 sm3 P4** || **do re ma fa** || found in Superpyth Minor (& Dorian) ||
|| **4-2-3** || **P1 M2 m3 P4** || **do re me fa** ||   ||
|| **4-3-2** || **P1 M2 M3 P4** || **do re mi fa** ||   ||
|| **4-4-1** || **P1 M2 SM3 P4** || **do re mo fa** || found in Superpyth Major (& Mixolydian, & Lydian) ||
|| 5-1-3 || P1 sm3 m3 P4 || do ma me fa ||   ||
|| 5-2-2 || P1 sm3 M3 P4 || do ma mi fa ||   ||
|| 5-3-1 || P1 sm3 SM3 P4 || do ma mo fa ||   ||
|| 6-1-2 || P1 m3 M3 P4 || do me mi fa ||   ||
|| 6-2-1 || P1 m3 SM3 P4 || do me mo fa ||   ||
|| 7-1-1 || P1 M3 SM3 P4 || do mi mo fa ||   ||

Original HTML content:

<html><head><title>22edo tetrachords</title></head><body>Chart of all possible <a class="wiki_link" href="/22edo">22edo</a> tetrachords (28 altogether):<br />


<table class="wiki_table">
    <tr>
        <td>1-1-7<br />
</td>
        <td>1-2-6<br />
</td>
        <td>1-3-5<br />
</td>
        <td>1-4-4<br />
</td>
        <td>1-5-3<br />
</td>
        <td>1-6-2<br />
</td>
        <td>1-7-1<br />
</td>
    </tr>
    <tr>
        <td>2-1-6<br />
</td>
        <td>2-2-5<br />
</td>
        <td>2-3-4<br />
</td>
        <td>2-4-3<br />
</td>
        <td>2-5-2<br />
</td>
        <td>2-6-1<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-1-5<br />
</td>
        <td>3-2-4<br />
</td>
        <td>3-3-3<br />
</td>
        <td>3-4-2<br />
</td>
        <td>3-5-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4-1-4<br />
</td>
        <td>4-2-3<br />
</td>
        <td>4-3-2<br />
</td>
        <td>4-4-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5-1-3<br />
</td>
        <td>5-2-2<br />
</td>
        <td>5-3-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6-1-2<br />
</td>
        <td>6-2-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7-1-1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
Primary tetrachords in bold - tetrachords containing exactly one second and one third (16 altogether):<br />
<br />


<table class="wiki_table">
    <tr>
        <td>tetrachord notation<br />
</td>
        <td>interval names<br />
</td>
        <td><a class="wiki_link" href="/22edo%20Solfege">solfege</a><br />
</td>
        <td>notes<br />
</td>
    </tr>
    <tr>
        <td>1-1-7<br />
</td>
        <td>P1 d2 m2 P4<br />
</td>
        <td>do di ra fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-2-6<br />
</td>
        <td>P1 d2 N2 P4<br />
</td>
        <td>do di ru fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1-3-5<br />
</td>
        <td>P1 d2 M2 P4<br />
</td>
        <td>do di re fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>1-4-4</strong><br />
</td>
        <td><strong>P1 d2 sm3 P4</strong><br />
</td>
        <td><strong>do di ma fa</strong><br />
</td>
        <td>found in Superpyth Phrygian<br />
</td>
    </tr>
    <tr>
        <td><strong>1-5-3</strong><br />
</td>
        <td><strong>P1 d2 m3 P4</strong><br />
</td>
        <td><strong>do di me fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>1-6-2</strong><br />
</td>
        <td><strong>P1 d2 M3 P4</strong><br />
</td>
        <td><strong>do di mi fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>1-7-1</strong><br />
</td>
        <td><strong>P1 d2 SM3 P4</strong><br />
</td>
        <td><strong>do di mo fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-1-6<br />
</td>
        <td>P1 m2 N2 P4<br />
</td>
        <td>do ra ru fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2-2-5<br />
</td>
        <td>P1 m2 M2 P4<br />
</td>
        <td>do ra re fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>2-3-4</strong><br />
</td>
        <td><strong>P1 m2 sm3 P4</strong><br />
</td>
        <td><strong>do ra ma fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>2-4-3</strong><br />
</td>
        <td><strong>P1 m2 m3 P4</strong><br />
</td>
        <td><strong>do ra me fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>2-5-2</strong><br />
</td>
        <td><strong>P1 m2 M3 P4</strong><br />
</td>
        <td><strong>do ra mi fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>2-6-1</strong><br />
</td>
        <td><strong>P1 m2 SM3 P4</strong><br />
</td>
        <td><strong>do ra mo fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3-1-5<br />
</td>
        <td>P1 N2 M2 P4<br />
</td>
        <td>do ru re fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>3-2-4</strong><br />
</td>
        <td><strong>P1 N2 sm3 P4</strong><br />
</td>
        <td><strong>do ru ma fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>3-3-3</strong><br />
</td>
        <td><strong>P1 N2 m3 P4</strong><br />
</td>
        <td><strong>do ru me fa</strong><br />
</td>
        <td>perfectly even tetrachord - found in Porcupine tunings<br />
</td>
    </tr>
    <tr>
        <td><strong>3-4-2</strong><br />
</td>
        <td><strong>P1 N2 M3 P4</strong><br />
</td>
        <td><strong>do ru mi fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>3-5-1</strong><br />
</td>
        <td><strong>P1 N2 SM3 P4</strong><br />
</td>
        <td><strong>do ru mo fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>4-1-4</strong><br />
</td>
        <td><strong>P1 M2 sm3 P4</strong><br />
</td>
        <td><strong>do re ma fa</strong><br />
</td>
        <td>found in Superpyth Minor (&amp; Dorian)<br />
</td>
    </tr>
    <tr>
        <td><strong>4-2-3</strong><br />
</td>
        <td><strong>P1 M2 m3 P4</strong><br />
</td>
        <td><strong>do re me fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>4-3-2</strong><br />
</td>
        <td><strong>P1 M2 M3 P4</strong><br />
</td>
        <td><strong>do re mi fa</strong><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><strong>4-4-1</strong><br />
</td>
        <td><strong>P1 M2 SM3 P4</strong><br />
</td>
        <td><strong>do re mo fa</strong><br />
</td>
        <td>found in Superpyth Major (&amp; Mixolydian, &amp; Lydian)<br />
</td>
    </tr>
    <tr>
        <td>5-1-3<br />
</td>
        <td>P1 sm3 m3 P4<br />
</td>
        <td>do ma me fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5-2-2<br />
</td>
        <td>P1 sm3 M3 P4<br />
</td>
        <td>do ma mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5-3-1<br />
</td>
        <td>P1 sm3 SM3 P4<br />
</td>
        <td>do ma mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6-1-2<br />
</td>
        <td>P1 m3 M3 P4<br />
</td>
        <td>do me mi fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6-2-1<br />
</td>
        <td>P1 m3 SM3 P4<br />
</td>
        <td>do me mo fa<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7-1-1<br />
</td>
        <td>P1 M3 SM3 P4<br />
</td>
        <td>do mi mo fa<br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>
Retrieved from "https://en.xen.wiki/index.php?title=22edo_tetrachords&oldid=6859"