OTC 15L 7s

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This revision was by author spt3125 and made on 2016-09-01 20:56:03 UTC.
The original revision id was 590811776.
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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[15L 7s|15L+7s]]
22 tones (9+4+9)

[[porcupine]]; imperfect

[[Gallery of omnitetrachordal scales#perfect|P]] = 0.4200055842
[[Gallery of omnitetrachordal scales#Q|Q]] = 2.6366862114 (4/3 = 6L+3.5s)

L = 54.55 to 80.00 cents (67.97 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)

9/8 = 3L+s (218.18 to 240.00 cents)
4/3 = 6L+3s (480.00 to 490.91 cents)
MOS generator = 2L+s (160.00 to 163.64 cents)

notable EDOs: 37, 52b, 59

{{ sLLsLLsLLsLLsLLsLLsLLL }} (MOS, not OTC)
{{    ||||     ||||       }}
{{ sLLLssLLLsLLLssLLLsLLL }} (OTC MODMOS) - gc 10,2,2,2,2; 4o

all modes:
|| {{ sLLL ssLLLsLLL ssLLLsLLL }} || || {{ sLLLssLLL sLLLssLLL sLLL }} ||
|| {{ LLLs sLLLsLLLs sLLLsLLLs }} || || {{ LLLssLLLs LLLssLLLs LLLs }} ||
|| || || {{ LLssLLLsL LLssLLLsL LLsL }} ||
|| || || {{ LssLLLsLL LssLLLsLL LsLL }} ||
|| || || {{ ssLLLsLLL ssLLLsLLL sLLL }} ||
|| || {{ sLLLsLLLs sLLL sLLLsLLLs }} || {{ sLLLsLLLs sLLLsLLLs LLLs }} ||
|| || {{ LLLsLLLss LLLs LLLsLLLss }} || ||
|| || {{ LLsLLLssL LLsL LLsLLLssL }} || ||
|| || {{ LsLLLssLL LsLL LsLLLssLL }} || ||
|| || {{ sLLLssLLL sLLL sLLLssLLL }} || ||
|| || {{ LLLssLLLs LLLs LLLssLLLs }} || ||
|| || {{ LLssLLLsL LLsL LLssLLLsL }} || ||
|| || {{ LssLLLsLL LsLL LssLLLsLL }} || ||
|| || {{ ssLLLsLLL sLLL ssLLLsLLL }} || ||
|| {{ sLLL sLLLsLLLs sLLLsLLLs }} || {{ sLLLsLLLs LLLs sLLLsLLLs }} || ||
|| {{ LLLs LLLsLLLss LLLsLLLss }} || || ||
|| {{ LLsL LLsLLLssL LLsLLLssL }} || || ||
|| {{ LsLL LsLLLssLL LsLLLssLL }} || || ||
|| {{ sLLL sLLLssLLL sLLLssLLL }} || || {{ sLLLsLLLs sLLLsLLLs sLLL }} ||
|| {{ LLLs LLLssLLLs LLLssLLLs }} || || {{ LLLsLLLss LLLsLLLss LLLs }} ||
|| {{ LLsL LLssLLLsL LLssLLLsL }} || || {{ LLsLLLssL LLsLLLssL LLsL }} ||
|| {{ LsLL LssLLLsLL LssLLLsLL }} || || {{ LsLLLssLL LsLLLssLL LsLL }} ||

[[image:22_15_07_LLLsLLLss_LLLs_LLLsLLLss.png]]

===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]

Original HTML content:

<html><head><title>OTC 15L 7s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/15L%207s">15L+7s</a><br />
22 tones (9+4+9)<br />
<br />
<a class="wiki_link" href="/porcupine">porcupine</a>; imperfect<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 0.4200055842<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 2.6366862114 (4/3 = 6L+3.5s)<br />
<br />
L = 54.55 to 80.00 cents (67.97 cents @ Q)<br />
s = 0.00 to 54.55 cents (25.78 cents @ Q)<br />
<br />
9/8 = 3L+s (218.18 to 240.00 cents)<br />
4/3 = 6L+3s (480.00 to 490.91 cents)<br />
MOS generator = 2L+s (160.00 to 163.64 cents)<br />
<br />
notable EDOs: 37, 52b, 59<br />
<br />
<tt> sLLsLLsLLsLLsLLsLLsLLL </tt> (MOS, not OTC)<br />
<tt>    ||||     ||||       </tt><br />
<tt> sLLLssLLLsLLLssLLLsLLL </tt> (OTC MODMOS) - gc 10,2,2,2,2; 4o<br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLLL ssLLLsLLL ssLLLsLLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLssLLL sLLLssLLL sLLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLLs sLLLsLLLs sLLLsLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLLssLLLs LLLssLLLs LLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLLLsL LLssLLLsL LLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLLsLL LssLLLsLL LsLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLLsLLL ssLLLsLLL sLLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLsLLLs sLLL sLLLsLLLs </tt><br />
</td>
        <td><tt> sLLLsLLLs sLLLsLLLs LLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLsLLLss LLLs LLLsLLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLLLssL LLsL LLsLLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLLssLL LsLL LsLLLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLssLLL sLLL sLLLssLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLssLLLs LLLs LLLssLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLLLsL LLsL LLssLLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLLsLL LsLL LssLLLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLLsLLL sLLL ssLLLsLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLL sLLLsLLLs sLLLsLLLs </tt><br />
</td>
        <td><tt> sLLLsLLLs LLLs sLLLsLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLLs LLLsLLLss LLLsLLLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLsL LLsLLLssL LLsLLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLL LsLLLssLL LsLLLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLL sLLLssLLL sLLLssLLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLsLLLs sLLLsLLLs sLLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLLs LLLssLLLs LLLssLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLLsLLLss LLLsLLLss LLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLsL LLssLLLsL LLssLLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLLLssL LLsLLLssL LLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLL LssLLLsLL LssLLLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLLssLL LsLLLssLL LsLL </tt><br />
</td>
    </tr>
</table>

<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:0 -->See also</h3>
<ul><li><a class="wiki_link" href="/Omnitetrachordality">Omnitetrachordality</a></li><li><a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales">Gallery of omnitetrachordal scales</a></li></ul></body></html>
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