OTC 10L 14s

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This revision was by author spt3125 and made on 2016-09-01 21:23:49 UTC.
The original revision id was 590812844.
The revision comment was:

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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[10L 14s|10L+14s]]
24 tones (10+4+10)

anguirus, contorted srutal/pajara?  2 forms

[[Gallery of omnitetrachordal scales#perfect|P]] = 1.2600167527
[[Gallery of omnitetrachordal scales#Q|Q]] = 4.5850376935 (4/3 = 4L+6.5s)

L = 50.00 to 120.00 cents (56.84 cents @ P, 91.93 cents @ Q)
s = 0.00 to 50.00 cents (45.11 cents @ P, 20.05 cents @ Q)

9/8 = 2L+2s (200.00 to 240.00 cents)
4/3 = 4L+6s (480.00 to 500.00 cents)
MOS generator = 2L+3s (240.00 to 250.00 cents)
MOS period = 1/2 octave (600.00 cents)

notable EDOs: 34, 44, 58, 82, 92

{{ ssLsLssLsLsLssLsLssLsLsL }} (MOS, not OTC)
{{   |  | ||  |   || |  || 
{{ ssssLLssLLssssLLssLLssLL }} (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o

{{ ssLsLssLsLsLssLsLssLsLsL }} (MOS, not OTC)
{{  || ||        ||||       }}
{{ sLsssLsLsLsLsssLsLsLsLsL }} (OTC MODMOS, form 2) - gc 6,10; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o

{{ ssssLLssLLssssLLssLLssLL }} (OTC MODMOS, form 1)
{{    ||  ||    ||  ||  ||  }}
{{ sssLsLsLsLsssLsLsLsLsLsL }} (OTC MODMOS, form 2)

symmetric modes: 
{{ sLLssssLLssLLssLLssssLLs }} (form 1)
{{ LssLLssssLLssLLssssLLssL }} (form 1)
(none for form 2)

all modes, form 1:
|| || || {{ ssssLLssLL ssssLLssLL ssLL }} ||
|| || || {{ sssLLssLLs sssLLssLLs sLLs }} ||
|| || {{ ssLLssLLss ssLL ssLLssLLss }} || {{ ssLLssLLss ssLLssLLss LLss }} ||
|| || {{ sLLssLLsss sLLs sLLssLLsss }} || ||
|| || {{ LLssLLssss LLss LLssLLssss }} || ||
|| || {{ LssLLssssL LssL LssLLssssL }} || ||
|| || {{ ssLLssssLL ssLL ssLLssssLL }} || ||
|| || {{ sLLssssLLs sLLs sLLssssLLs }} || ||
|| || {{ LLssssLLss LLss LLssssLLss }} || ||
|| || {{ LssssLLssL LssL LssssLLssL }} || ||
|| || {{ ssssLLssLL ssLL ssssLLssLL }} || ||
|| || {{ sssLLssLLs sLLs sssLLssLLs }} || ||
|| {{ ssLL ssLLssLLss ssLLssLLss }} || {{ ssLLssLLss LLss ssLLssLLss }} || ||
|| {{ sLLs sLLssLLsss sLLssLLsss }} || || ||
|| {{ LLss LLssLLssss LLssLLssss }} || || ||
|| {{ LssL LssLLssssL LssLLssssL }} || || ||
|| {{ ssLL ssLLssssLL ssLLssssLL }} || || {{ ssLLssLLss ssLLssLLss ssLL }} ||
|| {{ sLLs sLLssssLLs sLLssssLLs }} || || {{ sLLssLLsss sLLssLLsss sLLs }} ||
|| {{ LLss LLssssLLss LLssssLLss }} || || {{ LLssLLssss LLssLLssss LLss }} ||
|| {{ LssL LssssLLssL LssssLLssL }} || || {{ LssLLssssL LssLLssssL LssL }} ||
|| {{ ssLL ssssLLssLL ssssLLssLL }} || || {{ ssLLssssLL ssLLssssLL ssLL }} ||
|| {{ sLLs sssLLssLLs sssLLssLLs }} || || {{ sLLssssLLs sLLssssLLs sLLs }} ||
|| {{ LLss ssLLssLLss ssLLssLLss }} || || {{ LLssssLLss LLssssLLss LLss }} ||
|| || || {{ LssssLLssL LssssLLssL LssL }} ||

all modes, form 2:
|| || || {{ sssLsLsLsL sssLsLsLsL sLsL }} ||
|| || || {{ ssLsLsLsLs ssLsLsLsLs LsLs }} ||
|| || {{ sLsLsLsLss sLsL sLsLsLsLss }} || ||
|| || {{ LsLsLsLsss LsLs LsLsLsLsss }} || ||
|| || {{ sLsLsLsssL sLsL sLsLsLsssL }} || ||
|| || {{ LsLsLsssLs LsLs LsLsLsssLs }} || ||
|| || {{ sLsLsssLsL sLsL sLsLsssLsL }} || ||
|| || {{ LsLsssLsLs LsLs LsLsssLsLs }} || ||
|| || {{ sLsssLsLsL sLsL sLsssLsLsL }} || ||
|| || {{ LsssLsLsLs LsLs LsssLsLsLs }} || ||
|| || {{ sssLsLsLsL sLsL sssLsLsLsL }} || ||
|| || {{ ssLsLsLsLs LsLs ssLsLsLsLs }} || ||
|| {{ sLsL sLsLsLsLss sLsLsLsLss }} || || ||
|| {{ LsLs LsLsLsLsss LsLsLsLsss }} || || ||
|| {{ sLsL sLsLsLsssL sLsLsLsssL }} || || ||
|| {{ LsLs LsLsLsssLs LsLsLsssLs }} || || ||
|| {{ sLsL sLsLsssLsL sLsLsssLsL }} || || {{ sLsLsLsLss sLsLsLsLss sLsL }} ||
|| {{ LsLs LsLsssLsLs LsLsssLsLs }} || || {{ LsLsLsLsss LsLsLsLsss LsLs }} ||
|| {{ sLsL sLsssLsLsL sLsssLsLsL }} || || {{ sLsLsLsssL sLsLsLsssL sLsL }} ||
|| {{ LsLs LsssLsLsLs LsssLsLsLs }} || || {{ LsLsLsssLs LsLsLsssLs LsLs }} ||
|| {{ sLsL sssLsLsLsL sssLsLsLsL }} || || {{ sLsLsssLsL sLsLsssLsL sLsL }} ||
|| {{ LsLs ssLsLsLsLs ssLsLsLsLs }} || || {{ LsLsssLsLs LsLsssLsLs LsLs }} ||
|| || || {{ sLsssLsLsL sLsssLsLsL sLsL }} ||
|| || || {{ LsssLsLsLs LsssLsLsLs LsLs }} ||

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

Original HTML content:

<html><head><title>OTC 10L 14s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/10L%2014s">10L+14s</a><br />
24 tones (10+4+10)<br />
<br />
anguirus, contorted srutal/pajara?  2 forms<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.2600167527<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 4.5850376935 (4/3 = 4L+6.5s)<br />
<br />
L = 50.00 to 120.00 cents (56.84 cents @ P, 91.93 cents @ Q)<br />
s = 0.00 to 50.00 cents (45.11 cents @ P, 20.05 cents @ Q)<br />
<br />
9/8 = 2L+2s (200.00 to 240.00 cents)<br />
4/3 = 4L+6s (480.00 to 500.00 cents)<br />
MOS generator = 2L+3s (240.00 to 250.00 cents)<br />
MOS period = 1/2 octave (600.00 cents)<br />
<br />
notable EDOs: 34, 44, 58, 82, 92<br />
<br />
<tt> ssLsLssLsLsLssLsLssLsLsL </tt> (MOS, not OTC)<br />
<tt>   |  | ||  |   || |  || <br />
{{ ssssLLssLLssssLLssLLssLL </tt> (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o<br />
<br />
<tt> ssLsLssLsLsLssLsLssLsLsL </tt> (MOS, not OTC)<br />
<tt>  || ||        ||||       </tt><br />
<tt> sLsssLsLsLsLsssLsLsLsLsL </tt> (OTC MODMOS, form 2) - gc 6,10; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o<br />
<br />
<tt> ssssLLssLLssssLLssLLssLL </tt> (OTC MODMOS, form 1)<br />
<tt>    ||  ||    ||  ||  ||  </tt><br />
<tt> sssLsLsLsLsssLsLsLsLsLsL </tt> (OTC MODMOS, form 2)<br />
<br />
symmetric modes: <br />
<tt> sLLssssLLssLLssLLssssLLs </tt> (form 1)<br />
<tt> LssLLssssLLssLLssssLLssL </tt> (form 1)<br />
(none for form 2)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssssLLssLL ssssLLssLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssLLssLLs sssLLssLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLssLLss ssLL ssLLssLLss </tt><br />
</td>
        <td><tt> ssLLssLLss ssLLssLLss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssLLsss sLLs sLLssLLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLLssss LLss LLssLLssss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLssssL LssL LssLLssssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLssssLL ssLL ssLLssssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssssLLs sLLs sLLssssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssssLLss LLss LLssssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssssLLssL LssL LssssLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssssLLssLL ssLL ssssLLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLLssLLs sLLs sssLLssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL ssLLssLLss ssLLssLLss </tt><br />
</td>
        <td><tt> ssLLssLLss LLss ssLLssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs sLLssLLsss sLLssLLsss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLssLLssss LLssLLssss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LssLLssssL LssLLssssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL ssLLssssLL ssLLssssLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLssLLss ssLLssLLss ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs sLLssssLLs sLLssssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssLLsss sLLssLLsss sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLssssLLss LLssssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLLssss LLssLLssss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LssssLLssL LssssLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLssssL LssLLssssL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL ssssLLssLL ssssLLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLssssLL ssLLssssLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs sssLLssLLs sssLLssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssssLLs sLLssssLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss ssLLssLLss ssLLssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLssssLLss LLssssLLss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssssLLssL LssssLLssL LssL </tt><br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsLsLsL sssLsLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLsLsLs ssLsLsLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLsLss sLsL sLsLsLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsLsss LsLs LsLsLsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLsssL sLsL sLsLsLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsssLs LsLs LsLsLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsssLsL sLsL sLsLsssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsssLsLs LsLs LsLsssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLsLsL sLsL sLsssLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsLsLs LsLs LsssLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsLsLsL sLsL sssLsLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLsLsLs LsLs ssLsLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsLsLss sLsLsLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLsLsss LsLsLsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsLsssL sLsLsLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLsssLs LsLsLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsssLsL sLsLsssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLsLss sLsLsLsLss sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsssLsLs LsLsssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsLsss LsLsLsLsss LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsssLsLsL sLsssLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLsssL sLsLsLsssL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsssLsLsLs LsssLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsssLs LsLsLsssLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sssLsLsLsL sssLsLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsssLsL sLsLsssLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs ssLsLsLsLs ssLsLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsssLsLs LsLsssLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLsLsL sLsssLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsLsLs LsssLsLsLs LsLs </tt><br />
</td>
    </tr>
</table>

<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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