OTC 5L 16s

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This revision was by author spt3125 and made on 2016-09-02 21:46:53 UTC.
The original revision id was 590989076.
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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[5L 16s|5L+16s]]
21 tones (9+3+9)

[[Laconic Family|laconic / gorgo]]

[[Gallery of omnitetrachordal scales#perfect|P]] = 4.780050258
[[Gallery of omnitetrachordal scales#Q|Q]] = 11.4300921397 (4/3 = 2L+7.5s)

L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)
s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)

9/8 = L+2s (171.43 to 240.00 cents)
4/3 = 2L+7s (480.00 to 514.29 cents)
MOS generator = L+3s (228.57 to 240.00 cents)

notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77

{{ ssLsssLsssLssssLsssLs }} (MOS, not OTC)
{{  ||   ||       ||     }}
{{ sLsssssLssLsssssLssLs }} (OTC MODMOS) - gc 13,2,2; 4o

symmetric mode: {{ sLsssssLssLssLsssssLs }}

all modes:
|| || {{ sLsssssLs sLs sLsssssLs }} || ||
|| || {{ LsssssLss Lss LsssssLss }} || ||
|| || {{ sssssLssL ssL sssssLssL }} || ||
|| || {{ ssssLssLs sLs ssssLssLs }} || ||
|| || {{ sssLssLss Lss sssLssLss }} || ||
|| {{ ssL ssLssLsss ssLssLsss }} || || ||
|| {{ sLs sLssLssss sLssLssss }} || || ||
|| {{ Lss LssLsssss LssLsssss }} || || ||
|| {{ ssL ssLsssssL ssLsssssL }} || || {{ ssLssLsss ssLssLsss ssL }} ||
|| {{ sLs sLsssssLs sLsssssLs }} || || {{ sLssLssss sLssLssss sLs }} ||
|| {{ Lss LsssssLss LsssssLss }} || || {{ LssLsssss LssLsssss Lss }} ||
|| {{ ssL sssssLssL sssssLssL }} || || {{ ssLsssssL ssLsssssL ssL }} ||
|| {{ sLs ssssLssLs ssssLssLs }} || || {{ sLsssssLs sLsssssLs sLs }} ||
|| {{ Lss sssLssLss sssLssLss }} || || {{ LsssssLss LsssssLss Lss }} ||
|| || || {{ sssssLssL sssssLssL ssL }} ||
|| || || {{ ssssLssLs ssssLssLs sLs }} ||
|| || || {{ sssLssLss sssLssLss Lss }} ||
|| || {{ ssLssLsss ssL ssLssLsss }} || ||
|| || {{ sLssLssss sLs sLssLssss }} || ||
|| || {{ LssLsssss Lss LssLsssss }} || ||
|| || {{ ssLsssssL ssL ssLsssssL }} || ||

[[image:21_05_16_sLsssssLs_sLs_sLsssssLs.png]]

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

Original HTML content:

<html><head><title>OTC 5L 16s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/5L%2016s">5L+16s</a><br />
21 tones (9+3+9)<br />
<br />
<a class="wiki_link" href="/Laconic%20Family">laconic / gorgo</a><br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 4.780050258<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 11.4300921397 (4/3 = 2L+7.5s)<br />
<br />
L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)<br />
s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)<br />
<br />
9/8 = L+2s (171.43 to 240.00 cents)<br />
4/3 = 2L+7s (480.00 to 514.29 cents)<br />
MOS generator = L+3s (228.57 to 240.00 cents)<br />
<br />
notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77<br />
<br />
<tt> ssLsssLsssLssssLsssLs </tt> (MOS, not OTC)<br />
<tt>  ||   ||       ||     </tt><br />
<tt> sLsssssLssLsssssLssLs </tt> (OTC MODMOS) - gc 13,2,2; 4o<br />
<br />
symmetric mode: <tt> sLsssssLssLssLsssssLs </tt><br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><tt> sLsssssLs sLs sLsssssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssssLss Lss LsssssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssssLssL ssL sssssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssssLssLs sLs ssssLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLssLss Lss sssLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLssLsss ssLssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLssss sLssLssss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLsssss LssLsssss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLsssssL ssLsssssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLsss ssLssLsss ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLsssssLs sLsssssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLssss sLssLssss sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LsssssLss LsssssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsssss LssLsssss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL sssssLssL sssssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssssL ssLsssssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs ssssLssLs ssssLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssssLs sLsssssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss sssLssLss sssLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssssLss LsssssLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssssLssL sssssLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssssLssLs ssssLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssLssLss sssLssLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLsss ssL ssLssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLssss sLs sLssLssss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsssss Lss LssLsssss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssssL ssL ssLsssssL </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>
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