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OTC 7L 15s

Revision as of 20:48, 1 September 2016 by Wikispaces>spt3125 (**Imported revision 590811450 - Original comment: **)
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The original revision id was 590811450.
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Original Wikitext content:

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

[[Porcupine]]; 3 forms

[[Gallery of omnitetrachordal scales#perfect|P]] = 2.3809207248
[[Gallery of omnitetrachordal scales#Q|Q]] = 7.6586615703 (4/3 = 3L+5.5s)

L = 54.55 to 171.43 cents (89.68 cents @ P, 133.95 cents @ Q)
s = 0.00 to 54.55 cents (38.15 cents @ P, 17.49 cents @ Q)

9/8 = L+3s (171.43 to 218.18 cents)
4/3 = 3L+6s (490.91 to 514.29 cents)
MOS generator = L+2s (163.64 to 171.43 cents)

notable EDOs: 29, 36, 43, 50, 51

{{ LssLssLssLssLssLssLsss }} (MOS, not OTC)
{{      ||       ||       }}
{{ LssLsLsssLssLsLsssLsss }} (OTC MODMOS, form 1) - gc 16,2,2; 2o

{{ LssLssLssLssLssLssLsss }} (MOS, not OTC)
{{    ||       ||         }}
{{ LsssLsLssLsssLsLssLsss }} (OTC MODMOS, form 2) - gc 16,2,2; 2o

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

{{ LssLsLsssLssLsLsssLsss }} (form 1)
{{    ||||     ||||       }}
{{ LsssLsLssLsssLsLssLsss }} (form 2)
{{      ||       ||       }}
{{ LsssLLsssLsssLLsssLsss }} (form 3)
{{    ||       ||         }}
{{ LssLsLsssLssLsLsssLsss }} (form 1)

all modes, form 1:
|| || || {{ LssLsLsss LssLsLsss Lsss }} ||
|| || || {{ ssLsLsssL ssLsLsssL sssL }} ||
|| || || {{ sLsLsssLs sLsLsssLs ssLs }} ||
|| || || {{ LsLsssLss LsLsssLss sLss }} ||
|| || {{ sLsssLssL sLss sLsssLssL }} || ||
|| || {{ LsssLssLs Lsss LsssLssLs }} || ||
|| || {{ sssLssLsL sssL sssLssLsL }} || ||
|| || {{ ssLssLsLs ssLs ssLssLsLs }} || ||
|| || {{ sLssLsLss sLss sLssLsLss }} || ||
|| || {{ LssLsLsss Lsss LssLsLsss }} || ||
|| || {{ ssLsLsssL sssL ssLsLsssL }} || ||
|| || {{ sLsLsssLs ssLs sLsLsssLs }} || ||
|| || {{ LsLsssLss sLss LsLsssLss }} || ||
|| {{ sLss sLsssLssL sLsssLssL }} || || ||
|| {{ Lsss LsssLssLs LsssLssLs }} || || ||
|| {{ sssL sssLssLsL sssLssLsL }} || || ||
|| {{ ssLs ssLssLsLs ssLssLsLs }} || || ||
|| {{ sLss sLssLsLss sLssLsLss }} || || {{ sLsssLssL sLsssLssL sLss }} ||
|| {{ Lsss LssLsLsss LssLsLsss }} || || {{ LsssLssLs LsssLssLs Lsss }} ||
|| {{ sssL ssLsLsssL ssLsLsssL }} || || {{ sssLssLsL sssLssLsL sssL }} ||
|| {{ ssLs sLsLsssLs sLsLsssLs }} || || {{ ssLssLsLs ssLssLsLs ssLs }} ||
|| {{ sLss LsLsssLss LsLsssLss }} || || {{ sLssLsLss sLssLsLss sLss }} ||

all modes, form 2:
|| {{ Lsss LsLssLsss LsLssLsss }} || || {{ LsssLsLss LsssLsLss Lsss }} ||
|| {{ sssL sLssLsssL sLssLsssL }} || || {{ sssLsLssL sssLsLssL sssL }} ||
|| {{ ssLs LssLsssLs LssLsssLs }} || || {{ ssLsLssLs ssLsLssLs ssLs }} ||
|| || || {{ sLsLssLss sLsLssLss sLss }} ||
|| || || {{ LsLssLsss LsLssLsss Lsss }} ||
|| || || {{ sLssLsssL sLssLsssL sssL }} ||
|| || || {{ LssLsssLs LssLsssLs ssLs }} ||
|| || {{ ssLsssLsL ssLs ssLsssLsL }} || ||
|| || {{ sLsssLsLs sLss sLsssLsLs }} || ||
|| || {{ LsssLsLss Lsss LsssLsLss }} || ||
|| || {{ sssLsLssL sssL sssLsLssL }} || ||
|| || {{ ssLsLssLs ssLs ssLsLssLs }} || ||
|| || {{ sLsLssLss sLss sLsLssLss }} || ||
|| || {{ LsLssLsss Lsss LsLssLsss }} || ||
|| || {{ sLssLsssL sssL sLssLsssL }} || ||
|| || {{ LssLsssLs ssLs LssLsssLs }} || ||
|| {{ ssLs ssLsssLsL ssLsssLsL }} || || ||
|| {{ sLss sLsssLsLs sLsssLsLs }} || || ||
|| {{ Lsss LsssLsLss LsssLsLss }} || || ||
|| {{ sssL sssLsLssL sssLsLssL }} || || ||
|| {{ ssLs ssLsLssLs ssLsLssLs }} || || {{ ssLsssLsL ssLsssLsL ssLs }} ||
|| {{ sLss sLsLssLss sLsLssLss }} || || {{ sLsssLsLs sLsssLsLs sLss }} ||

all modes, form 3:
|| {{ Lsss LLsssLsss LLsssLsss }} || || {{ LsssLLsss LsssLLsss Lsss }} ||
|| {{ sssL LsssLsssL LsssLsssL }} || || {{ sssLLsssL sssLLsssL sssL }} ||
|| || || {{ ssLLsssLs ssLLsssLs ssLs }} ||
|| || || {{ sLLsssLss sLLsssLss sLss }} ||
|| || || {{ LLsssLsss LLsssLsss Lsss }} ||
|| || {{ LsssLsssL Lsss LsssLsssL }} || {{ LsssLsssL LsssLsssL sssL }} ||
|| || {{ sssLsssLL sssL sssLsssLL }} || ||
|| || {{ ssLsssLLs ssLs ssLsssLLs }} || ||
|| || {{ sLsssLLss sLss sLsssLLss }} || ||
|| || {{ LsssLLsss Lsss LsssLLsss }} || ||
|| || {{ sssLLsssL sssL sssLLsssL }} || ||
|| || {{ ssLLsssLs ssLs ssLLsssLs }} || ||
|| || {{ sLLsssLss sLss sLLsssLss }} || ||
|| || {{ LLsssLsss Lsss LLsssLsss }} || ||
|| {{ Lsss LsssLsssL LsssLsssL }} || {{ LsssLsssL sssL LsssLsssL }} || ||
|| {{ sssL sssLsssLL sssLsssLL }} || || ||
|| {{ ssLs ssLsssLLs ssLsssLLs }} || || ||
|| {{ sLss sLsssLLss sLsssLLss }} || || ||
|| {{ Lsss LsssLLsss LsssLLsss }} || || {{ LsssLsssL LsssLsssL Lsss }} ||
|| {{ sssL sssLLsssL sssLLsssL }} || || {{ sssLsssLL sssLsssLL sssL }} ||
|| {{ ssLs ssLLsssLs ssLLsssLs }} || || {{ ssLsssLLs ssLsssLLs ssLs }} ||
|| {{ sLss sLLsssLss sLLsssLss }} || || {{ sLsssLLss sLsssLLss sLss }} ||

[[image:22_07_15_sssLsssLL_sssL_sssLsssLL.png]]

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

Original HTML content:

<html><head><title>OTC 7L 15s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2015s">7L+15s</a><br />
22 tones (9+4+9)<br />
<br />
<a class="wiki_link" href="/Porcupine">Porcupine</a>; 3 forms<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 2.3809207248<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 7.6586615703 (4/3 = 3L+5.5s)<br />
<br />
L = 54.55 to 171.43 cents (89.68 cents @ P, 133.95 cents @ Q)<br />
s = 0.00 to 54.55 cents (38.15 cents @ P, 17.49 cents @ Q)<br />
<br />
9/8 = L+3s (171.43 to 218.18 cents)<br />
4/3 = 3L+6s (490.91 to 514.29 cents)<br />
MOS generator = L+2s (163.64 to 171.43 cents)<br />
<br />
notable EDOs: 29, 36, 43, 50, 51<br />
<br />
<tt> LssLssLssLssLssLssLsss </tt> (MOS, not OTC)<br />
<tt>      ||       ||       </tt><br />
<tt> LssLsLsssLssLsLsssLsss </tt> (OTC MODMOS, form 1) - gc 16,2,2; 2o<br />
<br />
<tt> LssLssLssLssLssLssLsss </tt> (MOS, not OTC)<br />
<tt>    ||       ||         </tt><br />
<tt> LsssLsLssLsssLsLssLsss </tt> (OTC MODMOS, form 2) - gc 16,2,2; 2o<br />
<br />
<tt> LssLssLssLssLssLssLsss </tt> (MOS, not OTC)<br />
<tt>    ||||     ||||       </tt><br />
<tt> LsssLLsssLsssLLsssLsss </tt> (OTC MODMOS, form 3) - gc 10,2,2,2,2; 4o<br />
<br />
<tt> LssLsLsssLssLsLsssLsss </tt> (form 1)<br />
<tt>    ||||     ||||       </tt><br />
<tt> LsssLsLssLsssLsLssLsss </tt> (form 2)<br />
<tt>      ||       ||       </tt><br />
<tt> LsssLLsssLsssLLsssLsss </tt> (form 3)<br />
<tt>    ||       ||         </tt><br />
<tt> LssLsLsssLssLsLsssLsss </tt> (form 1)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsLsss LssLsLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLsssL ssLsLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsssLs sLsLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsssLss LsLsssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLssL sLss sLsssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLssLs Lsss LsssLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLssLsL sssL sssLssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLsLs ssLs ssLssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLsLss sLss sLssLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsLsss Lsss LssLsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLsssL sssL ssLsLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsssLs ssLs sLsLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsssLss sLss LsLsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLssL sLsssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLssLs LsssLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLssLsL sssLssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLssLsLs ssLssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLssLsLss sLssLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLssL sLsssLssL sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LssLsLsss LssLsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLssLs LsssLssLs Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL ssLsLsssL ssLsLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLssLsL sssLssLsL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs sLsLsssLs sLsLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLsLs ssLssLsLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss LsLsssLss LsLsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLsLss sLssLsLss sLss </tt><br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td><tt> Lsss LsLssLsss LsLssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsLss LsssLsLss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sLssLsssL sLssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsLssL sssLsLssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs LssLsssLs LssLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLssLs ssLsLssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLssLss sLsLssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLssLsss LsLssLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLsssL sLssLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsssLs LssLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssLsL ssLs ssLsssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLsLs sLss sLsssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsLss Lsss LsssLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsLssL sssL sssLsLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLssLs ssLs ssLsLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLssLss sLss sLsLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLssLsss Lsss LsLssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLsssL sssL sLssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsssLs ssLs LssLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsssLsL ssLsssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLsLs sLsssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLsLss LsssLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLsLssL sssLsLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsLssLs ssLsLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssLsL ssLsssLsL ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsLssLss sLsLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLsLs sLsssLsLs sLss </tt><br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td><tt> Lsss LLsssLsss LLsssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLLsss LsssLLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL LsssLsssL LsssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLLsssL sssLLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLsssLs ssLLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsssLss sLLsssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsssLsss LLsssLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsssL Lsss LsssLsssL </tt><br />
</td>
        <td><tt> LsssLsssL LsssLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsssLL sssL sssLsssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssLLs ssLs ssLsssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLLss sLss sLsssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLLsss Lsss LsssLLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLLsssL sssL sssLLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLsssLs ssLs ssLLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsssLss sLss sLLsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsssLsss Lsss LLsssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLsssL LsssLsssL </tt><br />
</td>
        <td><tt> LsssLsssL sssL LsssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLsssLL sssLsssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsssLLs ssLsssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLLss sLsssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLLsss LsssLLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsssL LsssLsssL Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLLsssL sssLLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsssLL sssLsssLL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLLsssLs ssLLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssLLs ssLsssLLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLLsssLss sLLsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLLss sLsssLLss sLss </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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