2L 10s

Revision as of 15:10, 10 November 2015 by Wikispaces>JosephRuhf (**Imported revision 565944071 - Original comment: **)

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This revision was by author JosephRuhf and made on 2015-11-10 15:10:50 UTC.
The original revision id was 565944071.
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Original Wikitext content:

This MOS, being two periods of L s s s s s, is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.
|| 0/2 ||   ||   ||   ||   ||   || 0 ||
||   ||   ||   ||   || 1/20 ||   || 60 ||
||   ||   ||   || 1/18 ||   ||   || 66.667 ||
||   ||   ||   ||   || 2/34 ||   || 70.588 ||
||   ||   ||   ||   ||   ||   || 600/(5+pi) ||
||   ||   || 1/16 ||   ||   ||   || 75 ||
||   ||   ||   ||   ||   ||   || 600/(5+e) ||
||   ||   ||   ||   || 3/46 ||   || 78.261 ||
||   ||   ||   ||   ||   ||   || 600/(6+phi) ||
||   ||   ||   || 2/30 ||   ||   || 80 ||
||   ||   ||   ||   || 3/44 ||   || 81.818 ||
||   || 1/14 ||   ||   ||   ||   || 85.714 ||
||   ||   ||   ||   || 4/54 ||   || 88.889 ||
||   ||   ||   ||   ||   ||   || 600/(5+sqrt(3)) ||
||   ||   ||   || 3/40 ||   ||   || 90 ||
||   ||   ||   ||   ||   ||   || 600/(5+phi) ||
||   ||   ||   ||   || 5/66 ||   || 90.909 ||
||   ||   ||   ||   ||   ||   || 600/(5+pi/2) ||
||   ||   ||   ||   ||   || 7/92 || 91.304 ||
||   ||   || 2/26 ||   ||   ||   || 92.308 ||
||   ||   ||   ||   || 5/64 ||   || 93.75 ||
||   ||   ||   || 3/38 ||   ||   || 94.737 ||
||   ||   ||   ||   || 4/50 ||   || 96 ||
|| 1/12 ||   ||   ||   ||   ||   || 100 ||

Original HTML content:

<html><head><title>2L 10s</title></head><body>This MOS, being two periods of L s s s s s, is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.<br />


<table class="wiki_table">
    <tr>
        <td>0/2<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/20<br />
</td>
        <td><br />
</td>
        <td>60<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/18<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>66.667<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/34<br />
</td>
        <td><br />
</td>
        <td>70.588<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600/(5+pi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/16<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>75<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600/(5+e)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/46<br />
</td>
        <td><br />
</td>
        <td>78.261<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600/(6+phi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/30<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>80<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/44<br />
</td>
        <td><br />
</td>
        <td>81.818<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1/14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>85.714<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/54<br />
</td>
        <td><br />
</td>
        <td>88.889<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600/(5+sqrt(3))<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/40<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>90<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600/(5+phi)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/66<br />
</td>
        <td><br />
</td>
        <td>90.909<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600/(5+pi/2)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/92<br />
</td>
        <td>91.304<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/26<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>92.308<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/64<br />
</td>
        <td><br />
</td>
        <td>93.75<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/38<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>94.737<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/50<br />
</td>
        <td><br />
</td>
        <td>96<br />
</td>
    </tr>
    <tr>
        <td>1/12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
    </tr>
</table>

</body></html>