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OTC 7L 13s

Revision as of 20:31, 1 September 2016 by Wikispaces>spt3125 (**Imported revision 590810870 - Original comment: **)
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The original revision id was 590810870.
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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 13s|7L+13s]]
20 tones (8+4+8)

[[Tetracot family|Tetracot]] MODMOS.  Comes in 3 forms!

[[Gallery of omnitetrachordal scales#perfect|P]] = 4.1745609664
[[Gallery of omnitetrachordal scales#Q|Q]] = 9.4523018119 (4/3 = 3L+4.5s)

L = 60.00 to 171.43 cents (118.65 cents @ P, 143.28 cents @ Q)
s = 0.00 to 60.00 cents (28.42 cents @ P, 15.16 cents @ Q)

9/8 = L+3s (171.43 to 240.00 cents)
4/3 = 3L+5s (480.00 to 514.29 cents)
MOS generator = L+2s (171.43 to 180.00 cents)

notable EDOs: 27, 34, 41, 61, 75

{{ ssLssLssLssLssLssLsL }} (MOS, not OTC)
{{      || ||||      || }}
{{ ssLsssLssLLsssLssLLs }} (OTC MODMOS, form 1) - gc 9,3,2,2,2; 2o

{{ ssLssLssLssLssLssLsL }} (MOS, not OTC)
{{      ||   ||    |||| }}
{{ ssLsssLsLsLsssLsLsLs }} (OTC MODMOS, form 2) - gc 10,3,3; 4o

{{ ssLssLssLssLssLssLsL }} (MOS, not OTC)
{{      |||| ||     ||  }}
{{ ssLsssLLssLsssLsssLL }} (OTC MODMOS, form 3) - gc 9,3,2,2,2; 2o

{{ sssLsssLssLLsssLssLL }} (form 1)
{{          ||      ||  }}
{{ sssLsssLsLsLsssLsLsL }} (form 2)
{{         ||      ||   }}
{{ sssLsssLLssLsssLLssL }} (form 3)
{{         | |     | |  }}
{{ sssLsssLssLLsssLssLL }} (form 1)

all modes, form 1:
|| {{ sssL sssLssLL sssLssLL }} || || ||
|| {{ ssLs ssLssLLs ssLssLLs }} || || ||
|| {{ sLss sLssLLss sLssLLss }} || || ||
|| {{ Lsss LssLLsss LssLLsss }} || || {{ LsssLssL LsssLssL Lsss }} ||
|| {{ sssL ssLLsssL ssLLsssL }} || || {{ sssLssLL sssLssLL sssL }} ||
|| {{ ssLs sLLsssLs sLLsssLs }} || || {{ ssLssLLs ssLssLLs ssLs }} ||
|| {{ sLss LLsssLss LLsssLss }} || || {{ sLssLLss sLssLLss sLss }} ||
|| || || {{ LssLLsss LssLLsss Lsss }} ||
|| || || {{ ssLLsssL ssLLsssL sssL }} ||
|| || || {{ sLLsssLs sLLsssLs ssLs }} ||
|| || || {{ LLsssLss LLsssLss sLss }} ||
|| || {{ LsssLssL Lsss LsssLssL }} || ||
|| || {{ sssLssLL sssL sssLssLL }} || ||
|| || {{ ssLssLLs ssLs ssLssLLs }} || ||
|| || {{ sLssLLss sLss sLssLLss }} || ||
|| || {{ LssLLsss Lsss LssLLsss }} || ||
|| || {{ ssLLsssL sssL ssLLsssL }} || ||
|| || {{ sLLsssLs ssLs sLLsssLs }} || ||
|| || {{ LLsssLss sLss LLsssLss }} || ||
|| {{ Lsss LsssLssL LsssLssL }} || || ||

all modes, form 2:
|| {{ sssL sssLsLsL sssLsLsL }} || || ||
|| {{ ssLs ssLsLsLs ssLsLsLs }} || || ||
|| {{ sLss sLsLsLss sLsLsLss }} || || {{ sLsssLsL sLsssLsL sLss }} ||
|| {{ Lsss LsLsLsss LsLsLsss }} || || {{ LsssLsLs LsssLsLs Lsss }} ||
|| {{ sssL sLsLsssL sLsLsssL }} || || {{ sssLsLsL sssLsLsL sssL }} ||
|| {{ ssLs LsLsssLs LsLsssLs }} || || {{ ssLsLsLs ssLsLsLs ssLs }} ||
|| || || {{ sLsLsLss sLsLsLss sLss }} ||
|| || || {{ LsLsLsss LsLsLsss Lsss }} ||
|| || || {{ sLsLsssL sLsLsssL sssL }} ||
|| || || {{ LsLsssLs LsLsssLs ssLs }} ||
|| || {{ sLsssLsL sLss sLsssLsL }} || ||
|| || {{ LsssLsLs Lsss LsssLsLs }} || ||
|| || {{ sssLsLsL sssL sssLsLsL }} || ||
|| || {{ ssLsLsLs ssLs ssLsLsLs }} || ||
|| || {{ sLsLsLss sLss sLsLsLss }} || ||
|| || {{ LsLsLsss Lsss LsLsLsss }} || ||
|| || {{ sLsLsssL sssL sLsLsssL }} || ||
|| || {{ LsLsssLs ssLs LsLsssLs }} || ||
|| {{ sLss sLsssLsL sLsssLsL }} || || ||
|| {{ Lsss LsssLsLs LsssLsLs }} || || ||

all modes, form 3:
|| {{ sssL sssLLssL sssLLssL }} || || ||
|| {{ ssLs ssLLssLs ssLLssLs }} || || {{ ssLsssLL ssLsssLL ssLs }} ||
|| {{ sLss sLLssLss sLLssLss }} || || {{ sLsssLLs sLsssLLs sLss }} ||
|| {{ Lsss LLssLsss LLssLsss }} || || {{ LsssLLss LsssLLss Lsss }} ||
|| {{ sssL LssLsssL LssLsssL }} || || {{ sssLLssL sssLLssL sssL }} ||
|| || || {{ ssLLssLs ssLLssLs ssLs }} ||
|| || || {{ sLLssLss sLLssLss sLss }} ||
|| || || {{ LLssLsss LLssLsss Lsss }} ||
|| || || {{ LssLsssL LssLsssL sssL }} ||
|| || {{ ssLsssLL ssLs ssLsssLL }} || ||
|| || {{ sLsssLLs sLss sLsssLLs }} || ||
|| || {{ LsssLLss Lsss LsssLLss }} || ||
|| || {{ sssLLssL sssL sssLLssL }} || ||
|| || {{ ssLLssLs ssLs ssLLssLs }} || ||
|| || {{ sLLssLss sLss sLLssLss }} || ||
|| || {{ LLssLsss Lsss LLssLsss }} || ||
|| || {{ LssLsssL sssL LssLsssL }} || ||
|| {{ ssLs ssLsssLL ssLsssLL }} || || ||
|| {{ sLss sLsssLLs sLsssLLs }} || || ||
|| {{ Lsss LsssLLss LsssLLss }} || || ||

[[image:20_07_13_LsssLssL_Lsss_LsssLssL.png]]

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

Original HTML content:

<html><head><title>OTC 7L 13s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2013s">7L+13s</a><br />
20 tones (8+4+8)<br />
<br />
<a class="wiki_link" href="/Tetracot%20family">Tetracot</a> MODMOS.  Comes in 3 forms!<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 4.1745609664<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 9.4523018119 (4/3 = 3L+4.5s)<br />
<br />
L = 60.00 to 171.43 cents (118.65 cents @ P, 143.28 cents @ Q)<br />
s = 0.00 to 60.00 cents (28.42 cents @ P, 15.16 cents @ Q)<br />
<br />
9/8 = L+3s (171.43 to 240.00 cents)<br />
4/3 = 3L+5s (480.00 to 514.29 cents)<br />
MOS generator = L+2s (171.43 to 180.00 cents)<br />
<br />
notable EDOs: 27, 34, 41, 61, 75<br />
<br />
<tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC)<br />
<tt>      || ||||      || </tt><br />
<tt> ssLsssLssLLsssLssLLs </tt> (OTC MODMOS, form 1) - gc 9,3,2,2,2; 2o<br />
<br />
<tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC)<br />
<tt>      ||   ||    |||| </tt><br />
<tt> ssLsssLsLsLsssLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,3,3; 4o<br />
<br />
<tt> ssLssLssLssLssLssLsL </tt> (MOS, not OTC)<br />
<tt>      |||| ||     ||  </tt><br />
<tt> ssLsssLLssLsssLsssLL </tt> (OTC MODMOS, form 3) - gc 9,3,2,2,2; 2o<br />
<br />
<tt> sssLsssLssLLsssLssLL </tt> (form 1)<br />
<tt>          ||      ||  </tt><br />
<tt> sssLsssLsLsLsssLsLsL </tt> (form 2)<br />
<tt>         ||      ||   </tt><br />
<tt> sssLsssLLssLsssLLssL </tt> (form 3)<br />
<tt>         | |     | |  </tt><br />
<tt> sssLsssLssLLsssLssLL </tt> (form 1)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sssL sssLssLL sssLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLssLLs ssLssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLssLLss sLssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LssLLsss LssLLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLssL LsssLssL Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL ssLLsssL ssLLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLssLL sssLssLL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs sLLsssLs sLLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLLs ssLssLLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss LLsssLss LLsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLLss sLssLLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLsss LssLLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLsssL ssLLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsssLs sLLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsssLss LLsssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLssL Lsss LsssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLssLL sssL sssLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLLs ssLs ssLssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLLss sLss sLssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLsss Lsss LssLLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLsssL sssL ssLLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsssLs ssLs sLLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsssLss sLss LLsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLssL LsssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td><tt> sssL sssLsLsL sssLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsLsLs ssLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsLsLss sLsLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLsL sLsssLsL sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsLsLsss LsLsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsLs LsssLsLs Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sLsLsssL sLsLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsLsL sssLsLsL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs LsLsssLs LsLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLsLs ssLsLsLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLss sLsLsLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsss LsLsLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsssL sLsLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsssLs LsLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLsL sLss sLsssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsLs Lsss LsssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsLsL sssL sssLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLsLs ssLs ssLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLss sLss sLsLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsss Lsss LsLsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsssL sssL sLsLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsssLs ssLs LsLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLsL sLsssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLsLs LsssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
all modes, form 3:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sssL sssLLssL sssLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLLssLs ssLLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssLL ssLsssLL ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLLssLss sLLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLLs sLsssLLs sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LLssLsss LLssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLLss LsssLLss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL LssLsssL LssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLLssL sssLLssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLssLs ssLLssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssLss sLLssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLsss LLssLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsssL LssLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssLL ssLs ssLsssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLLs sLss sLsssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLLss Lsss LsssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLLssL sssL sssLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLssLs ssLs ssLLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssLss sLss sLLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLsss Lsss LLssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsssL sssL LssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsssLL ssLsssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLLs sLsssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLLss LsssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
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<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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