OTC 7L 17s

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This revision was by author spt3125 and made on 2016-09-01 21:20:21 UTC.
The original revision id was 590812694.
The revision comment was:

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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 17s|7L+17s]]
24 tones (10+4+10)

[[mohajira]] / [[Neutral third scales|neutral-thirds]]; 2 forms; imperfect; best at low L/s

[[Gallery of omnitetrachordal scales#perfect|P]] = 0.5872804832
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.8650213288 (4/3 = 3L+6.5s)

L = 50.00 to 171.43 cents (121.23 cents @ Q)
s = 0.00 to 50.00 cents (20.67 cents @ Q)

9/8 = L+3s (171.43 to 200.00 cents)
4/3 = 3L+7s (500.00 to 514.29 cents)
MOS generator = 2L+5s (342.86 to 350.00 cents)

notable EDOs: 31, 38, 45, 55, 69

{{ sssLssLsssLssLsssLssLssL }} (MOS, not OTC)
{{       ||                 }}
{{ sssLsssLssLssLsssLssLssL }} (OTC MODMOS, form 1) - gc 22; 2o

{{ sssLssLsssLssLsssLssLssL }} (MOS, not OTC)
{{       ||  ||        ||   }}
{{ sssLsssLsssLsLsssLsssLsL }} (OTC MODMOS, form 2) - gc 18; 6o

{{ sssLsssLssLssLsssLssLssL }} (OTC MODMOS, form 1)
{{           ||        ||   }}
{{ sssLsssLsssLsLsssLsssLsL }} (OTC MODMOS, form 2)

all modes, form 1:
|| {{ sssL sssLssLssL sssLssLssL }} || || ||
|| {{ ssLs ssLssLssLs ssLssLssLs }} || || {{ ssLsssLssL ssLsssLssL ssLs }} ||
|| {{ sLss sLssLssLss sLssLssLss }} || || {{ sLsssLssLs sLsssLssLs sLss }} ||
|| {{ Lsss LssLssLsss LssLssLsss }} || || {{ LsssLssLss LsssLssLss Lsss }} ||
|| {{ sssL ssLssLsssL ssLssLsssL }} || || {{ sssLssLssL sssLssLssL sssL }} ||
|| {{ ssLs sLssLsssLs sLssLsssLs }} || || {{ ssLssLssLs ssLssLssLs ssLs }} ||
|| {{ sLss LssLsssLss LssLsssLss }} || || {{ sLssLssLss sLssLssLss sLss }} ||
|| || || {{ LssLssLsss LssLssLsss Lsss }} ||
|| || || {{ ssLssLsssL ssLssLsssL sssL }} ||
|| || || {{ sLssLsssLs sLssLsssLs ssLs }} ||
|| || || {{ LssLsssLss LssLsssLss sLss }} ||
|| || {{ ssLsssLssL ssLs ssLsssLssL }} || ||
|| || {{ sLsssLssLs sLss sLsssLssLs }} || ||
|| || {{ LsssLssLss Lsss LsssLssLss }} || ||
|| || {{ sssLssLssL sssL sssLssLssL }} || ||
|| || {{ ssLssLssLs ssLs ssLssLssLs }} || ||
|| || {{ sLssLssLss sLss sLssLssLss }} || ||
|| || {{ LssLssLsss Lsss LssLssLsss }} || ||
|| || {{ ssLssLsssL sssL ssLssLsssL }} || ||
|| || {{ sLssLsssLs ssLs sLssLsssLs }} || ||
|| || {{ LssLsssLss sLss LssLsssLss }} || ||
|| {{ ssLs ssLsssLssL ssLsssLssL }} || || ||
|| {{ sLss sLsssLssLs sLsssLssLs }} || || ||
|| {{ Lsss LsssLssLss LsssLssLss }} || || ||

all modes, form 2:
|| {{ sssL sssLsssLsL sssLsssLsL }} || || ||
|| {{ ssLs ssLsssLsLs ssLsssLsLs }} || || ||
|| {{ sLss sLsssLsLss sLsssLsLss }} || || {{ sLsssLsssL sLsssLsssL sLss }} ||
|| {{ Lsss LsssLsLsss LsssLsLsss }} || || {{ LsssLsssLs LsssLsssLs Lsss }} ||
|| {{ sssL sssLsLsssL sssLsLsssL }} || || {{ sssLsssLsL sssLsssLsL sssL }} ||
|| {{ ssLs ssLsLsssLs ssLsLsssLs }} || || {{ ssLsssLsLs ssLsssLsLs ssLs }} ||
|| {{ sLss sLsLsssLss sLsLsssLss }} || || {{ sLsssLsLss sLsssLsLss sLss }} ||
|| {{ Lsss LsLsssLsss LsLsssLsss }} || || {{ LsssLsLsss LsssLsLsss Lsss }} ||
|| {{ sssL sLsssLsssL sLsssLsssL }} || || {{ sssLsLsssL sssLsLsssL sssL }} ||
|| {{ ssLs LsssLsssLs LsssLsssLs }} || || {{ ssLsLsssLs ssLsLsssLs ssLs }} ||
|| || || {{ sLsLsssLss sLsLsssLss sLss }} ||
|| || || {{ LsLsssLsss LsLsssLsss Lsss }} ||
|| || {{ sLsssLsssL sLss sLsssLsssL }} || {{ sLsssLsssL sLsssLsssL sssL }} ||
|| || {{ LsssLsssLs Lsss LsssLsssLs }} || {{ LsssLsssLs LsssLsssLs ssLs }} ||
|| || {{ sssLsssLsL sssL sssLsssLsL }} || ||
|| || {{ ssLsssLsLs ssLs ssLsssLsLs }} || ||
|| || {{ sLsssLsLss sLss sLsssLsLss }} || ||
|| || {{ LsssLsLsss Lsss LsssLsLsss }} || ||
|| || {{ sssLsLsssL sssL sssLsLsssL }} || ||
|| || {{ ssLsLsssLs ssLs ssLsLsssLs }} || ||
|| || {{ sLsLsssLss sLss sLsLsssLss }} || ||
|| || {{ LsLsssLsss Lsss LsLsssLsss }} || ||
|| {{ sLss sLsssLsssL sLsssLsssL }} || {{ sLsssLsssL sssL sLsssLsssL }} || ||
|| {{ Lsss LsssLsssLs LsssLsssLs }} || {{ LsssLsssLs ssLs LsssLsssLs }} || ||

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

Original HTML content:

<html><head><title>OTC 7L 17s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2017s">7L+17s</a><br />
24 tones (10+4+10)<br />
<br />
<a class="wiki_link" href="/mohajira">mohajira</a> / <a class="wiki_link" href="/Neutral%20third%20scales">neutral-thirds</a>; 2 forms; imperfect; best at low L/s<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 0.5872804832<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 5.8650213288 (4/3 = 3L+6.5s)<br />
<br />
L = 50.00 to 171.43 cents (121.23 cents @ Q)<br />
s = 0.00 to 50.00 cents (20.67 cents @ Q)<br />
<br />
9/8 = L+3s (171.43 to 200.00 cents)<br />
4/3 = 3L+7s (500.00 to 514.29 cents)<br />
MOS generator = 2L+5s (342.86 to 350.00 cents)<br />
<br />
notable EDOs: 31, 38, 45, 55, 69<br />
<br />
<tt> sssLssLsssLssLsssLssLssL </tt> (MOS, not OTC)<br />
<tt>       ||                 </tt><br />
<tt> sssLsssLssLssLsssLssLssL </tt> (OTC MODMOS, form 1) - gc 22; 2o<br />
<br />
<tt> sssLssLsssLssLsssLssLssL </tt> (MOS, not OTC)<br />
<tt>       ||  ||        ||   </tt><br />
<tt> sssLsssLsssLsLsssLsssLsL </tt> (OTC MODMOS, form 2) - gc 18; 6o<br />
<br />
<tt> sssLsssLssLssLsssLssLssL </tt> (OTC MODMOS, form 1)<br />
<tt>           ||        ||   </tt><br />
<tt> sssLsssLsssLsLsssLsssLsL </tt> (OTC MODMOS, form 2)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sssL sssLssLssL sssLssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLssLssLs ssLssLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssLssL ssLsssLssL ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLssLssLss sLssLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLssLs sLsssLssLs sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LssLssLsss LssLssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLssLss LsssLssLss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL ssLssLsssL ssLssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLssLssL sssLssLssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs sLssLsssLs sLssLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLssLs ssLssLssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss LssLsssLss LssLsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLssLss sLssLssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLssLsss LssLssLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLsssL ssLssLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLsssLs sLssLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsssLss LssLsssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssLssL ssLs ssLsssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLssLs sLss sLsssLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLssLss Lsss LsssLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLssLssL sssL sssLssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLssLs ssLs ssLssLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLssLss sLss sLssLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLssLsss Lsss LssLssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLsssL sssL ssLssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLsssLs ssLs sLssLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsssLss sLss LssLsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsssLssL ssLsssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLssLs sLsssLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLssLss LsssLssLss </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 sssLsssLsL sssLsssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsssLsLs ssLsssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLsLss sLsssLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLsssL sLsssLsssL sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLsLsss LsssLsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsssLs LsssLsssLs Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLsLsssL sssLsLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsssLsL sssLsssLsL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsLsssLs ssLsLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssLsLs ssLsssLsLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsLsssLss sLsLsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLsLss sLsssLsLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsLsssLsss LsLsssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsLsss LsssLsLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sLsssLsssL sLsssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsLsssL sssLsLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs LsssLsssLs LsssLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLsssLs ssLsLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsssLss sLsLsssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsssLsss LsLsssLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLsssL sLss sLsssLsssL </tt><br />
</td>
        <td><tt> sLsssLsssL sLsssLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsssLs Lsss LsssLsssLs </tt><br />
</td>
        <td><tt> LsssLsssLs LsssLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsssLsL sssL sssLsssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssLsLs ssLs ssLsssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLsLss sLss sLsssLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsLsss Lsss LsssLsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsLsssL sssL sssLsLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLsssLs ssLs ssLsLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsssLss sLss sLsLsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsssLsss Lsss LsLsssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLsssL sLsssLsssL </tt><br />
</td>
        <td><tt> sLsssLsssL sssL sLsssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLsssLs LsssLsssLs </tt><br />
</td>
        <td><tt> LsssLsssLs ssLs LsssLsssLs </tt><br />
</td>
        <td><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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