Parizek-miller hexagon

Revision as of 16:58, 28 February 2014 by Wikispaces>genewardsmith (**Imported revision 492781324 - Original comment: **)

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This revision was by author genewardsmith and made on 2014-02-28 16:58:28 UTC.
The original revision id was 492781324.
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Original Wikitext content:

The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

|| 1 || 21/20 || 9/8 || 7/6 || 5/4 || 21/16 || 7/5 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|| 2 || 21/20 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|| 3 || 15/14 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 63/40 || 5/3 || 7/4 || 15/8 || 2 ||
|| 4 || 15/14 || 9/8 || 7/6 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 7/4 || 15/8 || 2 ||
|| 5 || 15/14 || 9/8 || 25/21 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 7/4 || 15/8 || 2 ||
|| 6 || 15/14 || 9/8 || 25/21 || 5/4 || 21/16 || 10/7 || 3/2 || 45/28 || 5/3 || 25/14 || 15/8 || 2 ||

Original HTML content:

<html><head><title>parizek-miller hexagon</title></head><body>The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.<br />
<br />


<table class="wiki_table">
    <tr>
        <td>1<br />
</td>
        <td>21/20<br />
</td>
        <td>9/8<br />
</td>
        <td>7/6<br />
</td>
        <td>5/4<br />
</td>
        <td>21/16<br />
</td>
        <td>7/5<br />
</td>
        <td>3/2<br />
</td>
        <td>63/40<br />
</td>
        <td>5/3<br />
</td>
        <td>7/4<br />
</td>
        <td>15/8<br />
</td>
        <td>2<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>21/20<br />
</td>
        <td>9/8<br />
</td>
        <td>7/6<br />
</td>
        <td>5/4<br />
</td>
        <td>21/16<br />
</td>
        <td>10/7<br />
</td>
        <td>3/2<br />
</td>
        <td>63/40<br />
</td>
        <td>5/3<br />
</td>
        <td>7/4<br />
</td>
        <td>15/8<br />
</td>
        <td>2<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>15/14<br />
</td>
        <td>9/8<br />
</td>
        <td>7/6<br />
</td>
        <td>5/4<br />
</td>
        <td>21/16<br />
</td>
        <td>10/7<br />
</td>
        <td>3/2<br />
</td>
        <td>63/40<br />
</td>
        <td>5/3<br />
</td>
        <td>7/4<br />
</td>
        <td>15/8<br />
</td>
        <td>2<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>15/14<br />
</td>
        <td>9/8<br />
</td>
        <td>7/6<br />
</td>
        <td>5/4<br />
</td>
        <td>21/16<br />
</td>
        <td>10/7<br />
</td>
        <td>3/2<br />
</td>
        <td>45/28<br />
</td>
        <td>5/3<br />
</td>
        <td>7/4<br />
</td>
        <td>15/8<br />
</td>
        <td>2<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>15/14<br />
</td>
        <td>9/8<br />
</td>
        <td>25/21<br />
</td>
        <td>5/4<br />
</td>
        <td>21/16<br />
</td>
        <td>10/7<br />
</td>
        <td>3/2<br />
</td>
        <td>45/28<br />
</td>
        <td>5/3<br />
</td>
        <td>7/4<br />
</td>
        <td>15/8<br />
</td>
        <td>2<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>15/14<br />
</td>
        <td>9/8<br />
</td>
        <td>25/21<br />
</td>
        <td>5/4<br />
</td>
        <td>21/16<br />
</td>
        <td>10/7<br />
</td>
        <td>3/2<br />
</td>
        <td>45/28<br />
</td>
        <td>5/3<br />
</td>
        <td>25/14<br />
</td>
        <td>15/8<br />
</td>
        <td>2<br />
</td>
    </tr>
</table>

</body></html>