OTC 7L 14s

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This revision was by author spt3125 and made on 2016-09-01 20:43:29 UTC.
The original revision id was 590811256.
The revision comment was:

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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 14s|7L+14s]]
21 tones (9+3+9)

[[Apotome family|whitewood]]; requires high L/s; 2 forms

[[Gallery of omnitetrachordal scales#Q|Q]]<span style="vertical-align: sub;">2</span> ``=`` 3.2777408456 (4/3 = 3L+5.5s)
[[Gallery of omnitetrachordal scales#perfect|P]] = 8.5554816911
Q<span style="vertical-align: sub;">1</span> ``=`` 13.8332225367 (4/3 = 3L+4.5s)

L = 57.14 to 171.43 cents (106.47 cents @ Q<span style="vertical-align: sub;">2</span>, 138.95 cents @ P, 149.77 cents @ Q<span style="vertical-align: sub;">1</span>)
s = 0.00 to 57.14 cents (32.48 cents @ Q<span style="vertical-align: sub;">1</span>, 16.24 cents @ P, 10.83 cents @ Q<span style="vertical-align: sub;">2</span>)

9/8 = L+4s (171.43 to 285.71 cents)
4/3 = 3L+5s (457.14 to 514.29 cents)
MOS generator: s (0.00 to 57.14 cents)
MOS period: 1/7 octave (171.43 cents)

notable EDOs: 42, 49, 56

{{ ssLssLssLssLssLssLssL }} (MOS, not OTC)
{{  ||  ||  | |    |   | }}
{{ sLssssLsLLssssLsLLsss }} (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o

{{ ssLssLssLssLssLssLssL }} (MOS, not OTC)
{{  ||  || |   |    | |  }}
{{ sLssssLssssLLsLssssLL }} (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o

{{ ssssLssssLsLLssssLsLL }} (form 1) 
{{           ||      ||  }}
{{ ssssLssssLLsLssssLLsL }} (form 2)

all modes, form 1:
|| {{ ssssL ssssLsLL ssssLsLL }} || || ||
|| {{ sssLs sssLsLLs sssLsLLs }} || || ||
|| {{ ssLss ssLsLLss ssLsLLss }} || || ||
|| {{ sLsss sLsLLsss sLsLLsss }} || || ||
|| {{ Lssss LsLLssss LsLLssss }} || || {{ LssssLsL LssssLsL Lssss }} ||
|| {{ ssssL sLLssssL sLLssssL }} || || {{ ssssLsLL ssssLsLL ssssL }} ||
|| {{ sssLs LLssssLs LLssssLs }} || || {{ sssLsLLs sssLsLLs sssLs }} ||
|| || || {{ ssLsLLss ssLsLLss ssLss }} ||
|| || || {{ sLsLLsss sLsLLsss sLsss }} ||
|| || || {{ LsLLssss LsLLssss Lssss }} ||
|| || || {{ sLLssssL sLLssssL ssssL }} ||
|| || || {{ LLssssLs LLssssLs sssLs }} ||
|| || {{ LssssLsL Lssss LssssLsL }} || ||
|| || {{ ssssLsLL ssssL ssssLsLL }} || ||
|| || {{ sssLsLLs sssLs sssLsLLs }} || ||
|| || {{ ssLsLLss ssLss ssLsLLss }} || ||
|| || {{ sLsLLsss sLsss sLsLLsss }} || ||
|| || {{ LsLLssss Lssss LsLLssss }} || ||
|| || {{ sLLssssL ssssL sLLssssL }} || ||
|| || {{ LLssssLs sssLs LLssssLs }} || ||
|| {{ Lssss LssssLsL LssssLsL }} || || ||

all modes, form 2:
|| {{ ssssL ssssLLsL ssssLLsL }} || || ||
|| {{ sssLs sssLLsLs sssLLsLs }} || || ||
|| {{ ssLss ssLLsLss ssLLsLss }} || || ||
|| {{ sLsss sLLsLsss sLLsLsss }} || || {{ sLssssLL sLssssLL sLsss }} ||
|| {{ Lssss LLsLssss LLsLssss }} || || {{ LssssLLs LssssLLs Lssss }} ||
|| {{ ssssL LsLssssL LsLssssL }} || || {{ ssssLLsL ssssLLsL ssssL }} ||
|| || || {{ sssLLsLs sssLLsLs sssLs }} ||
|| || || {{ ssLLsLss ssLLsLss ssLss }} ||
|| || || {{ sLLsLsss sLLsLsss sLsss }} ||
|| || || {{ LLsLssss LLsLssss Lssss }} ||
|| || || {{ LsLssssL LsLssssL ssssL }} ||
|| || {{ sLssssLL sLsss sLssssLL }} || ||
|| || {{ LssssLLs Lssss LssssLLs }} || ||
|| || {{ ssssLLsL ssssL ssssLLsL }} || ||
|| || {{ sssLLsLs sssLs sssLLsLs }} || ||
|| || {{ ssLLsLss ssLss ssLLsLss }} || ||
|| || {{ sLLsLsss sLsss sLLsLsss }} || ||
|| || {{ LLsLssss Lssss LLsLssss }} || ||
|| || {{ LsLssssL ssssL LsLssssL }} || ||
|| {{ sLsss sLssssLL sLssssLL }} || || ||
|| {{ Lssss LssssLLs LssssLLs }} || || ||

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

Original HTML content:

<html><head><title>OTC 7L 14s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2014s">7L+14s</a><br />
21 tones (9+3+9)<br />
<br />
<a class="wiki_link" href="/Apotome%20family">whitewood</a>; requires high L/s; 2 forms<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a><span style="vertical-align: sub;">2</span> <!-- ws:start:WikiTextRawRule:00:``=`` -->=<!-- ws:end:WikiTextRawRule:00 --> 3.2777408456 (4/3 = 3L+5.5s)<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 8.5554816911<br />
Q<span style="vertical-align: sub;">1</span> <!-- ws:start:WikiTextRawRule:01:``=`` -->=<!-- ws:end:WikiTextRawRule:01 --> 13.8332225367 (4/3 = 3L+4.5s)<br />
<br />
L = 57.14 to 171.43 cents (106.47 cents @ Q<span style="vertical-align: sub;">2</span>, 138.95 cents @ P, 149.77 cents @ Q<span style="vertical-align: sub;">1</span>)<br />
s = 0.00 to 57.14 cents (32.48 cents @ Q<span style="vertical-align: sub;">1</span>, 16.24 cents @ P, 10.83 cents @ Q<span style="vertical-align: sub;">2</span>)<br />
<br />
9/8 = L+4s (171.43 to 285.71 cents)<br />
4/3 = 3L+5s (457.14 to 514.29 cents)<br />
MOS generator: s (0.00 to 57.14 cents)<br />
MOS period: 1/7 octave (171.43 cents)<br />
<br />
notable EDOs: 42, 49, 56<br />
<br />
<tt> ssLssLssLssLssLssLssL </tt> (MOS, not OTC)<br />
<tt>  ||  ||  | |    |   | </tt><br />
<tt> sLssssLsLLssssLsLLsss </tt> (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o<br />
<br />
<tt> ssLssLssLssLssLssLssL </tt> (MOS, not OTC)<br />
<tt>  ||  || |   |    | |  </tt><br />
<tt> sLssssLssssLLsLssssLL </tt> (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o<br />
<br />
<tt> ssssLssssLsLLssssLsLL </tt> (form 1) <br />
<tt>           ||      ||  </tt><br />
<tt> ssssLssssLLsLssssLLsL </tt> (form 2)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><tt> ssssL ssssLsLL ssssLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssLs sssLsLLs sssLsLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLss ssLsLLss ssLsLLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsss sLsLLsss sLsLLsss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lssss LsLLssss LsLLssss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssssLsL LssssLsL Lssss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssssL sLLssssL sLLssssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssssLsLL ssssLsLL ssssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssLs LLssssLs LLssssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsLLs sssLsLLs sssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLLss ssLsLLss ssLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLLsss sLsLLsss sLsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLssss LsLLssss Lssss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssssL sLLssssL ssssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLssssLs LLssssLs sssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssssLsL Lssss LssssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssssLsLL ssssL ssssLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsLLs sssLs sssLsLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLLss ssLss ssLsLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLLsss sLsss sLsLLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLssss Lssss LsLLssss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssssL ssssL sLLssssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssssLs sssLs LLssssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lssss LssssLsL LssssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <td><tt> ssssL ssssLLsL ssssLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssLs sssLLsLs sssLLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLss ssLLsLss ssLLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsss sLLsLsss sLLsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssssLL sLssssLL sLsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lssss LLsLssss LLsLssss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssssLLs LssssLLs Lssss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssssL LsLssssL LsLssssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssssLLsL ssssLLsL ssssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssLLsLs sssLLsLs sssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLsLss ssLLsLss ssLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsLsss sLLsLsss sLsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLssss LLsLssss Lssss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLssssL LsLssssL ssssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssssLL sLsss sLssssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssssLLs Lssss LssssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssssLLsL ssssL ssssLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLLsLs sssLs sssLLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLsLss ssLss ssLLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsLsss sLsss sLLsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLssss Lssss LLsLssss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLssssL ssssL LsLssssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsss sLssssLL sLssssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lssss LssssLLs LssssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->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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