OTC 5L 17s

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This revision was by author spt3125 and made on 2016-09-02 21:50:16 UTC.
The original revision id was 590989148.
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Original Wikitext content:

Omnitetrachordal MOS scale
[[5L 17s|5L+17s]]
22 tones (9+4+9)

[[superpyth]]; imperfect; best at low L/s

[[Gallery of omnitetrachordal scales#perfect|P]] = -0.7399832473
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.9100586343 (4/3 = 2L+7.5s)

L = 54.55 to 240.00 cents (152.35 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)

9/8 = L+3s (218.18 to 240.00 cents)
4/3 = 2L+7s (480.00 to 490.91 cents)
generator = 4/3

notable EDOs: 27, 32, 37, 49

all modes:
|| || || {{ ssssLsssL ssssLsssL sssL }} ||
|| || {{ sssLsssLs sssL sssLsssLs }} || {{ sssLsssLs sssLsssLs ssLs }} ||
|| || {{ ssLsssLss ssLs ssLsssLss }} || {{ ssLsssLss ssLsssLss sLss }} ||
|| || {{ sLsssLsss sLss sLsssLsss }} || {{ sLsssLsss sLsssLsss Lsss }} ||
|| || {{ LsssLssss Lsss LsssLssss }} || ||
|| || {{ sssLssssL sssL sssLssssL }} || ||
|| || {{ ssLssssLs ssLs ssLssssLs }} || ||
|| || {{ sLssssLss sLss sLssssLss }} || ||
|| || {{ LssssLsss Lsss LssssLsss }} || ||
|| || {{ ssssLsssL sssL ssssLsssL }} || ||
|| {{ sssL sssLsssLs sssLsssLs }} || {{ sssLsssLs ssLs sssLsssLs }} || ||
|| {{ ssLs ssLsssLss ssLsssLss }} || {{ ssLsssLss sLss ssLsssLss }} || ||
|| {{ sLss sLsssLsss sLsssLsss }} || {{ sLsssLsss Lsss sLsssLsss }} || ||
|| {{ Lsss LsssLssss LsssLssss }} || || ||
|| {{ sssL sssLssssL sssLssssL }} || || {{ sssLsssLs sssLsssLs sssL }} ||
|| {{ ssLs ssLssssLs ssLssssLs }} || || {{ ssLsssLss ssLsssLss ssLs }} ||
|| {{ sLss sLssssLss sLssssLss }} || || {{ sLsssLsss sLsssLsss sLss }} ||
|| {{ Lsss LssssLsss LssssLsss }} || || {{ LsssLssss LsssLssss Lsss }} ||
|| {{ sssL ssssLsssL ssssLsssL }} || || {{ sssLssssL sssLssssL sssL }} ||
|| {{ ssLs sssLsssLs sssLsssLs }} || || {{ ssLssssLs ssLssssLs ssLs }} ||
|| {{ sLss ssLsssLss ssLsssLss }} || || {{ sLssssLss sLssssLss sLss }} ||
|| {{ Lsss sLsssLsss sLsssLsss }} || || {{ LssssLsss LssssLsss Lsss }} ||

[[image:22_05_17_LsssLssss_Lsss_LsssLssss.png]]

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

Original HTML content:

<html><head><title>OTC 5L 17s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/5L%2017s">5L+17s</a><br />
22 tones (9+4+9)<br />
<br />
<a class="wiki_link" href="/superpyth">superpyth</a>; imperfect; best at low L/s<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = -0.7399832473<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 5.9100586343 (4/3 = 2L+7.5s)<br />
<br />
L = 54.55 to 240.00 cents (152.35 cents @ Q)<br />
s = 0.00 to 54.55 cents (25.78 cents @ Q)<br />
<br />
9/8 = L+3s (218.18 to 240.00 cents)<br />
4/3 = 2L+7s (480.00 to 490.91 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 27, 32, 37, 49<br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssssLsssL ssssLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsssLs sssL sssLsssLs </tt><br />
</td>
        <td><tt> sssLsssLs sssLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssLss ssLs ssLsssLss </tt><br />
</td>
        <td><tt> ssLsssLss ssLsssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLsss sLss sLsssLsss </tt><br />
</td>
        <td><tt> sLsssLsss sLsssLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLssss Lsss LsssLssss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLssssL sssL sssLssssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssssLs ssLs ssLssssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssssLss sLss sLssssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssssLsss Lsss LssssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssssLsssL sssL ssssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLsssLs sssLsssLs </tt><br />
</td>
        <td><tt> sssLsssLs ssLs sssLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsssLss ssLsssLss </tt><br />
</td>
        <td><tt> ssLsssLss sLss ssLsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLsss sLsssLsss </tt><br />
</td>
        <td><tt> sLsssLsss Lsss sLsssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLssss LsssLssss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLssssL sssLssssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsssLs sssLsssLs sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLssssLs ssLssssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssLss ssLsssLss ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLssssLss sLssssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLsss sLsssLsss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LssssLsss LssssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLssss LsssLssss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL ssssLsssL ssssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLssssL sssLssssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs sssLsssLs sssLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssssLs ssLssssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss ssLsssLss ssLsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssssLss sLssssLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss sLsssLsss sLsssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssssLsss LssssLsss Lsss </tt><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>