OTC 7L 10s

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This revision was by author spt3125 and made on 2016-08-31 20:42:55 UTC.
The original revision id was 590700390.
The revision comment was:

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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 10s|7L+10s]]
17 tones (7+3+7)

[[Mohajira]] / [[Neutral third scales|neutral-thirds]] MODMOS; 2 forms

[[Gallery of omnitetrachordal scales#perfect|P]] = 1.5872804832
[[Gallery of omnitetrachordal scales#Q|Q]] = 6.8650213288 (4/3 = 3L+3.5s)

L = 70.59 to 171.43 cents (90.22 cents @ P, 141.90 cents @ Q)
s = 0.00 to 70.59 cents (56.84 cents @ P, 20.67 cents @ Q)

9/8 = L+2s (171.43 to 211.76 cents)
4/3 = 3L+4s (494.12 to 514.29 cents)
MOS generator = 2L+3s (342.9 to 352.9 cents)

notable EDOs: 24, 31, 41, 65

{{ ssLsLssLsLssLsLsL }} (MOS, not OTC)
{{     ||            }}
{{ ssLssLsLsLssLsLsL }} (OTC MODMOS, form 1) - gc 15; 2o


{{ ssLsLssLsLssLsLsL }} (MOS, not OTC)
{{    || ||     ||   }}
{{ ssLLssLssLssLLssL }} (OTC MODMOS, form 2) - gc 11; 6o


{{ sLsLsLssLssLsLsLs }} (OTC MODMOS, form 1)
{{    ||       ||    }}
{{ sLssLLssLssLLssLs }} (OTC MODMOS, form 2)


symmetric modes:
{{ sLsLsLssLssLsLsLs }} (form 1)
{{ sLssLLssLssLLssLs }} (form 2)


all modes, form 1:
|| || {{ sLsLsLs sLs sLsLsLs }} || ||
|| || {{ LsLsLss Lss LsLsLss }} || ||
|| || {{ sLsLssL ssL sLsLssL }} || ||
|| || {{ LsLssLs sLs LsLssLs }} || ||
|| {{ sLs sLssLsL sLssLsL }} || || ||
|| {{ Lss LssLsLs LssLsLs }} || || ||
|| {{ ssL ssLsLsL ssLsLsL }} || || ||
|| {{ sLs sLsLsLs sLsLsLs }} || || {{ sLssLsL sLssLsL sLs }} ||
|| {{ Lss LsLsLss LsLsLss }} || || {{ LssLsLs LssLsLs Lss }} ||
|| {{ ssL sLsLssL sLsLssL }} || || {{ ssLsLsL ssLsLsL ssL }} ||
|| {{ sLs LsLssLs LsLssLs }} || || {{ sLsLsLs sLsLsLs sLs }} ||
|| || || {{ LsLsLss LsLsLss Lss }} ||
|| || || {{ sLsLssL sLsLssL ssL }} ||
|| || || {{ LsLssLs LsLssLs sLs }} ||
|| || {{ sLssLsL sLs sLssLsL }} || ||
|| || {{ LssLsLs Lss LssLsLs }} || ||
|| || {{ ssLsLsL ssL ssLsLsL }} || ||


all modes, form 2:
|| {{ sLs sLLssLs sLLssLs }} || || {{ sLssLLs sLssLLs sLs }} ||
|| {{ Lss LLssLss LLssLss }} || || {{ LssLLss LssLLss Lss }} ||
|| {{ ssL LssLssL LssLssL }} || || {{ ssLLssL ssLLssL ssL }} ||
|| || || {{ sLLssLs sLLssLs sLs }} ||
|| || || {{ LLssLss LLssLss Lss }} ||
|| || {{ LssLssL Lss LssLssL }} || {{ LssLssL LssLssL ssL }} ||
|| || {{ ssLssLL ssL ssLssLL }} || ||
|| || {{ sLssLLs sLs sLssLLs }} || ||
|| || {{ LssLLss Lss LssLLss }} || ||
|| || {{ ssLLssL ssL ssLLssL }} || ||
|| || {{ sLLssLs sLs sLLssLs }} || ||
|| || {{ LLssLss Lss LLssLss }} || ||
|| {{ Lss LssLssL LssLssL }} || {{ LssLssL ssL LssLssL }} || ||
|| {{ ssL ssLssLL ssLssLL }} || || ||
|| {{ sLs sLssLLs sLssLLs }} || || ||
|| {{ Lss LssLLss LssLLss }} || || {{ LssLssL LssLssL Lss }} ||
|| {{ ssL ssLLssL ssLLssL }} || || {{ ssLssLL ssLssLL ssL }} ||

[[image:17_07_10_LssLssL_ssL_LssLssL.png]]

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

Original HTML content:

<html><head><title>OTC 7L 10s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2010s">7L+10s</a><br />
17 tones (7+3+7)<br />
<br />
<a class="wiki_link" href="/Mohajira">Mohajira</a> / <a class="wiki_link" href="/Neutral%20third%20scales">neutral-thirds</a> MODMOS; 2 forms<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.5872804832<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 6.8650213288 (4/3 = 3L+3.5s)<br />
<br />
L = 70.59 to 171.43 cents (90.22 cents @ P, 141.90 cents @ Q)<br />
s = 0.00 to 70.59 cents (56.84 cents @ P, 20.67 cents @ Q)<br />
<br />
9/8 = L+2s (171.43 to 211.76 cents)<br />
4/3 = 3L+4s (494.12 to 514.29 cents)<br />
MOS generator = 2L+3s (342.9 to 352.9 cents)<br />
<br />
notable EDOs: 24, 31, 41, 65<br />
<br />
<tt> ssLsLssLsLssLsLsL </tt> (MOS, not OTC)<br />
<tt>     ||            </tt><br />
<tt> ssLssLsLsLssLsLsL </tt> (OTC MODMOS, form 1) - gc 15; 2o<br />
<br />
<br />
<tt> ssLsLssLsLssLsLsL </tt> (MOS, not OTC)<br />
<tt>    || ||     ||   </tt><br />
<tt> ssLLssLssLssLLssL </tt> (OTC MODMOS, form 2) - gc 11; 6o<br />
<br />
<br />
<tt> sLsLsLssLssLsLsLs </tt> (OTC MODMOS, form 1)<br />
<tt>    ||       ||    </tt><br />
<tt> sLssLLssLssLLssLs </tt> (OTC MODMOS, form 2)<br />
<br />
<br />
symmetric modes:<br />
<tt> sLsLsLssLssLsLsLs </tt> (form 1)<br />
<tt> sLssLLssLssLLssLs </tt> (form 2)<br />
<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLs sLs sLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLss Lss LsLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLssL ssL sLsLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLssLs sLs LsLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLsL sLssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLsLs LssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLsLsL ssLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLsLsLs sLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLsL sLssLsL sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LsLsLss LsLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsLs LssLsLs Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL sLsLssL sLsLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLsL ssLsLsL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs LsLssLs LsLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLs sLsLsLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLss LsLsLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLssL sLsLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLssLs LsLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLsL sLs sLssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsLs Lss LssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLsL ssL ssLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td><tt> sLs sLLssLs sLLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLLs sLssLLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LLssLss LLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLss LssLLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL LssLssL LssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLssL ssLLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssLs sLLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLss LLssLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLssL Lss LssLssL </tt><br />
</td>
        <td><tt> LssLssL LssLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLL ssL ssLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLLs sLs sLssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLss Lss LssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLssL ssL ssLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssLs sLs sLLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLss Lss LLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLssL LssLssL </tt><br />
</td>
        <td><tt> LssLssL ssL LssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLssLL ssLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLLs sLssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLLss LssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLssL LssLssL Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLLssL ssLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLL ssLssLL ssL </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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