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OTC 10L 12s

Revision as of 20:50, 1 September 2016 by Wikispaces>spt3125 (**Imported revision 590811548 - Original comment: **)
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This revision was by author spt3125 and made on 2016-09-01 20:50:38 UTC.
The original revision id was 590811548.
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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[10L 12s|10L+12s]]
22 tones (9+4+9)

[[pajara]]?; imperfect; best at low L/s

[[Gallery of omnitetrachordal scales#perfect|P]] = 0.1300083763
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.4550293172 (4/3 = 4L+5.5s)

L = 54.55 to 120.00 cents (89.07 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)

9/8 = 2L+2s (218.18 to 240.00 cents)
4/3 = 4L+5s (480.00 to 490.91 cents)
MOS generator = L+s (109.09 to 120.00 cents)
MOS period = 1/2 octave (600.00 cents)

notable EDOs: 32, 42, 54

{{ LsLsLsLsLssLsLsLsLsLss }} (MOS, not OTC)
{{           ||           }}
{{ LsLsLsLsLsLssLsLsLsLss }} (OTC MODMOS) - gc 11,11

all modes:
|| {{ LsLs LsLsLsLss LsLsLsLss }} || || ||
|| {{ sLsL sLsLsLssL sLsLsLssL }} || || ||
|| {{ LsLs LsLsLssLs LsLsLssLs }} || || ||
|| {{ sLsL sLsLssLsL sLsLssLsL }} || || {{ sLsLsLsLs sLsLsLsLs sLsL }} ||
|| {{ LsLs LsLssLsLs LsLssLsLs }} || || {{ LsLsLsLss LsLsLsLss LsLs }} ||
|| {{ sLsL sLssLsLsL sLssLsLsL }} || || {{ sLsLsLssL sLsLsLssL sLsL }} ||
|| {{ LsLs LssLsLsLs LssLsLsLs }} || || {{ LsLsLssLs LsLsLssLs LsLs }} ||
|| {{ sLsL ssLsLsLsL ssLsLsLsL }} || || {{ sLsLssLsL sLsLssLsL sLsL }} ||
|| {{ LsLs sLsLsLsLs sLsLsLsLs }} || || {{ LsLssLsLs LsLssLsLs LsLs }} ||
|| || || {{ sLssLsLsL sLssLsLsL sLsL }} ||
|| || || {{ LssLsLsLs LssLsLsLs LsLs }} ||
|| || || {{ ssLsLsLsL ssLsLsLsL sLsL }} ||
|| || {{ sLsLsLsLs sLsL sLsLsLsLs }} || {{ sLsLsLsLs sLsLsLsLs LsLs }} ||
|| || {{ LsLsLsLss LsLs LsLsLsLss }} || ||
|| || {{ sLsLsLssL sLsL sLsLsLssL }} || ||
|| || {{ LsLsLssLs LsLs LsLsLssLs }} || ||
|| || {{ sLsLssLsL sLsL sLsLssLsL }} || ||
|| || {{ LsLssLsLs LsLs LsLssLsLs }} || ||
|| || {{ sLssLsLsL sLsL sLssLsLsL }} || ||
|| || {{ LssLsLsLs LsLs LssLsLsLs }} || ||
|| || {{ ssLsLsLsL sLsL ssLsLsLsL }} || ||
|| {{ sLsL sLsLsLsLs sLsLsLsLs }} || {{ sLsLsLsLs LsLs sLsLsLsLs }} || ||

[[image:22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png]]

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

Original HTML content:

<html><head><title>OTC 10L 12s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/10L%2012s">10L+12s</a><br />
22 tones (9+4+9)<br />
<br />
<a class="wiki_link" href="/pajara">pajara</a>?; imperfect; best at low L/s<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 0.1300083763<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 3.4550293172 (4/3 = 4L+5.5s)<br />
<br />
L = 54.55 to 120.00 cents (89.07 cents @ Q)<br />
s = 0.00 to 54.55 cents (25.78 cents @ Q)<br />
<br />
9/8 = 2L+2s (218.18 to 240.00 cents)<br />
4/3 = 4L+5s (480.00 to 490.91 cents)<br />
MOS generator = L+s (109.09 to 120.00 cents)<br />
MOS period = 1/2 octave (600.00 cents)<br />
<br />
notable EDOs: 32, 42, 54<br />
<br />
<tt> LsLsLsLsLssLsLsLsLsLss </tt> (MOS, not OTC)<br />
<tt>           ||           </tt><br />
<tt> LsLsLsLsLsLssLsLsLsLss </tt> (OTC MODMOS) - gc 11,11<br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><tt> LsLs LsLsLsLss LsLsLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsLssL sLsLsLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLssLs LsLsLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLssLsL sLsLssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLsLs sLsLsLsLs sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLssLsLs LsLssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsLss LsLsLsLss LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLssLsLsL sLssLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLssL sLsLsLssL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LssLsLsLs LssLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLssLs LsLsLssLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL ssLsLsLsL ssLsLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLssLsL sLsLssLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs sLsLsLsLs sLsLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLssLsLs LsLssLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLsLsL sLssLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsLsLs LssLsLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLsLsL ssLsLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLsLs sLsL sLsLsLsLs </tt><br />
</td>
        <td><tt> sLsLsLsLs sLsLsLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsLss LsLs LsLsLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLssL sLsL sLsLsLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLssLs LsLs LsLsLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLssLsL sLsL sLsLssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLssLsLs LsLs LsLssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLsLsL sLsL sLssLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsLsLs LsLs LssLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLsLsL sLsL ssLsLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsLsLs sLsLsLsLs </tt><br />
</td>
        <td><tt> sLsLsLsLs LsLs sLsLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
</table>

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<!-- 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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