OTC 7L 6s

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IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author spt3125 and made on 2016-08-28 22:25:23 UTC.
The original revision id was 590312920.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 6s|7L+6s]]
13 tones (5+3+5)

[[Tetracot family|Tetracot]] MODMOS.  Best tuned at high values of L/s.

[[Gallery of omnitetrachordal scales#perfect|P]] = 5.1745609664
[[Gallery of omnitetrachordal scales#Q|Q]] = 10.4523018119 (4/3 = 3L+1.5s)

L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)

9/8 = L+2s (171.43 to 276.92 cents)
4/3 = 3L+2s (461.54 to 514.29 cents)
MOS generator = L+s (171.4 to 184.6 cents)

notable EDOs: 20, 27, 34, 41

{{ sLsLsLsLsLsLL }} (MOS, not OTC)
{{  || || ||     }}
{{ ssLLLssLssLLL }} (OTC MODMOS) - gc 3,3,3; 4o

symmetric mode: {{ sLLLssLssLLLs }}

all modes:
|| || {{ ssLLL ssL ssLLL }} || ||
|| || {{ sLLLs sLs sLLLs }} || ||
|| || {{ LLLss Lss LLLss }} || ||
|| || {{ LLssL ssL LLssL }} || ||
|| {{ Lss LssLL LssLL }} || || ||
|| {{ ssL ssLLL ssLLL }} || || ||
|| {{ sLs sLLLs sLLLs }} || || ||
|| {{ Lss LLLss LLLss }} || || {{ LssLL LssLL Lss }} ||
|| {{ ssL LLssL LLssL }} || || {{ ssLLL ssLLL ssL }} ||
|| || || {{ sLLLs sLLLs sLs }} ||
|| || || {{ LLLss LLLss Lss }} ||
|| || || {{ LLssL LLssL ssL }} ||
|| || {{ LssLL Lss LssLL }} || ||

[[image:13_07_06_ssLLL_ssL_ssLLL.png]]

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

Original HTML content:

<html><head><title>OTC 7L 6s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%206s">7L+6s</a><br />
13 tones (5+3+5)<br />
<br />
<a class="wiki_link" href="/Tetracot%20family">Tetracot</a> MODMOS.  Best tuned at high values of L/s.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 5.1745609664<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 10.4523018119 (4/3 = 3L+1.5s)<br />
<br />
L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)<br />
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)<br />
<br />
9/8 = L+2s (171.43 to 276.92 cents)<br />
4/3 = 3L+2s (461.54 to 514.29 cents)<br />
MOS generator = L+s (171.4 to 184.6 cents)<br />
<br />
notable EDOs: 20, 27, 34, 41<br />
<br />
<tt> sLsLsLsLsLsLL </tt> (MOS, not OTC)<br />
<tt>  || || ||     </tt><br />
<tt> ssLLLssLssLLL </tt> (OTC MODMOS) - gc 3,3,3; 4o<br />
<br />
symmetric mode: <tt> sLLLssLssLLLs </tt><br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><tt> ssLLL ssL ssLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLs sLs sLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLss Lss LLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssL ssL LLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLL LssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLLL ssLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLLLs sLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LLLss LLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLL LssLL Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL LLssL LLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLL ssLLL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLs sLLLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLss LLLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLssL LLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLL Lss LssLL </tt><br />
</td>
        <td><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>