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OTC 7L 8s

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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 8s|7L+8s]]
15 tones (6+3+6)

[[Porcupine]], 2 forms

[[Gallery of omnitetrachordal scales#perfect|P]] = 3.3809207248
[[Gallery of omnitetrachordal scales#Q|Q]] = 8.6586615703 (4/3 = 3L+2.5s)

L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)
s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)

9/8 = L+2s (171.43 to 240.00 cents)
4/3 = 3L+3s (480.00 to 514.29 cents)
MOS generator = L+s (160.0 to 171.4 cents)

notable EDOs: 22, 29, 36, 37, 43, 65


{{ LsLsLsLsLsLsLss }} (MOS, not OTC)
{{    ||    ||     }}
{{ LsLLssLsLLssLss }} (OTC MODMOS, form 1)


{{ LsLsLsLsLsLsLss }} (MOS, not OTC)
{{   ||    ||      }}
{{ LssLLsLssLLsLss }} (OTC MODMOS, form 2)


{{ LsLLssLsLLssLss }} (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans
{{   | |   | |     }}
{{ LssLLsLssLLsLss }} (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans


all modes, form 1:
|| {{ Lss LsLLss LsLLss }} || || {{ LssLsL LssLsL Lss }} ||
|| {{ ssL sLLssL sLLssL }} || || {{ ssLsLL ssLsLL ssL }} ||
|| {{ sLs LLssLs LLssLs }} || || {{ sLsLLs sLsLLs sLs }} ||
|| || || {{ LsLLss LsLLss Lss }} ||
|| || || {{ sLLssL sLLssL ssL }} ||
|| || || {{ LLssLs LLssLs sLs }} ||
|| || {{ LssLsL Lss LssLsL }} || ||
|| || {{ ssLsLL ssL ssLsLL }} || ||
|| || {{ sLsLLs sLs sLsLLs }} || ||
|| || {{ LsLLss Lss LsLLss }} || ||
|| || {{ sLLssL ssL sLLssL }} || ||
|| || {{ LLssLs sLs LLssLs }} || ||
|| {{ Lss LssLsL LssLsL }} || || ||
|| {{ ssL ssLsLL ssLsLL }} || || ||
|| {{ sLs sLsLLs sLsLLs }} || || ||

all modes, form 2:
|| {{ sLs sLLsLs sLLsLs }} || || {{ sLssLL sLssLL sLs }} ||
|| {{ Lss LLsLss LLsLss }} || || {{ LssLLs LssLLs Lss }} ||
|| {{ ssL LsLssL LsLssL }} || || {{ ssLLsL ssLLsL ssL }} ||
|| || || {{ sLLsLs sLLsLs sLs }} ||
|| || || {{ LLsLss LLsLss Lss }} ||
|| || || {{ LsLssL LsLssL ssL }} ||
|| || {{ sLssLL sLs sLssLL }} || ||
|| || {{ LssLLs Lss LssLLs }} || ||
|| || {{ ssLLsL ssL ssLLsL }} || ||
|| || {{ sLLsLs sLs sLLsLs }} || ||
|| || {{ LLsLss Lss LLsLss }} || ||
|| || {{ LsLssL ssL LsLssL }} || ||
|| {{ sLs sLssLL sLssLL }} || || ||
|| {{ Lss LssLLs LssLLs }} || || ||
|| {{ ssL ssLLsL ssLLsL }} || || ||

[[image:15_07_08_ssLsLL_ssL_ssLsLL.png]]

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

Original HTML content:

<html><head><title>OTC 7L 8s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%208s">7L+8s</a><br />
15 tones (6+3+6)<br />
<br />
<a class="wiki_link" href="/Porcupine">Porcupine</a>, 2 forms<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 3.3809207248<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 8.6586615703 (4/3 = 3L+2.5s)<br />
<br />
L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)<br />
s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)<br />
<br />
9/8 = L+2s (171.43 to 240.00 cents)<br />
4/3 = 3L+3s (480.00 to 514.29 cents)<br />
MOS generator = L+s (160.0 to 171.4 cents)<br />
<br />
notable EDOs: 22, 29, 36, 37, 43, 65<br />
<br />
<br />
<tt> LsLsLsLsLsLsLss </tt> (MOS, not OTC)<br />
<tt>    ||    ||     </tt><br />
<tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1)<br />
<br />
<br />
<tt> LsLsLsLsLsLsLss </tt> (MOS, not OTC)<br />
<tt>   ||    ||      </tt><br />
<tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2)<br />
<br />
<br />
<tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans<br />
<tt>   | |   | |     </tt><br />
<tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans<br />
<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><tt> Lss LsLLss LsLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsL LssLsL Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL sLLssL sLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLL ssLsLL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs LLssLs LLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLLs sLsLLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLss LsLLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssL sLLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLs LLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsL Lss LssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLL ssL ssLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLLs sLs sLsLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLss Lss LsLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssL ssL sLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLs sLs LLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLsL LssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLsLL ssLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLsLLs sLsLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
all modes, form 2:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLs sLLsLs sLLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLL sLssLL sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LLsLss LLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLs LssLLs Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL LsLssL LsLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLsL ssLLsL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsLs sLLsLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLss LLsLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLssL LsLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLL sLs sLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLs Lss LssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLsL ssL ssLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsLs sLs sLLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLss Lss LLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLssL ssL LsLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLL sLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLLs LssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLLsL ssLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><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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