OTC 17L 5s

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This revision was by author spt3125 and made on 2016-09-04 15:20:53 UTC.
The original revision id was 591038744.
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Original Wikitext content:

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

[[superpyth]]; imperfect (P<0)

[[Gallery of omnitetrachordal scales#perfect|P]] = -1.3513819449
[[Gallery of omnitetrachordal scales#Q|Q]] = 7.6353645871 (4/3 = 7L+2.5s)

L = 54.55 to 70.59 cents (67.97 cents @ Q)
s = 0.00 to 54.55 cents (8.90 cents @ Q)

9/8 = 3L+s (211.76 to 218.18 cents)
4/3 = 7L+2s (490.91 to 494.12 cents)
generator = 4/3

notable EDOs: 39, 56, 61, 73, 83

all modes:
|| {{ sLLL sLLLsLLLL sLLLsLLLL }} || || ||
|| {{ LLLs LLLsLLLLs LLLsLLLLs }} || || {{ LLLsLLLsL LLLsLLLsL LLLs }} ||
|| {{ LLsL LLsLLLLsL LLsLLLLsL }} || || {{ LLsLLLsLL LLsLLLsLL LLsL }} ||
|| {{ LsLL LsLLLLsLL LsLLLLsLL }} || || {{ LsLLLsLLL LsLLLsLLL LsLL }} ||
|| {{ sLLL sLLLLsLLL sLLLLsLLL }} || || {{ sLLLsLLLL sLLLsLLLL sLLL }} ||
|| {{ LLLs LLLLsLLLs LLLLsLLLs }} || || {{ LLLsLLLLs LLLsLLLLs LLLs }} ||
|| {{ LLsL LLLsLLLsL LLLsLLLsL }} || || {{ LLsLLLLsL LLsLLLLsL LLsL }} ||
|| {{ LsLL LLsLLLsLL LLsLLLsLL }} || || {{ LsLLLLsLL LsLLLLsLL LsLL }} ||
|| {{ sLLL LsLLLsLLL LsLLLsLLL }} || || {{ sLLLLsLLL sLLLLsLLL sLLL }} ||
|| || || {{ LLLLsLLLs LLLLsLLLs LLLs }} ||
|| || {{ LLLsLLLsL LLLs LLLsLLLsL }} || {{ LLLsLLLsL LLLsLLLsL LLsL }} ||
|| || {{ LLsLLLsLL LLsL LLsLLLsLL }} || {{ LLsLLLsLL LLsLLLsLL LsLL }} ||
|| || {{ LsLLLsLLL LsLL LsLLLsLLL }} || {{ LsLLLsLLL LsLLLsLLL sLLL }} ||
|| || {{ sLLLsLLLL sLLL sLLLsLLLL }} || ||
|| || {{ LLLsLLLLs LLLs LLLsLLLLs }} || ||
|| || {{ LLsLLLLsL LLsL LLsLLLLsL }} || ||
|| || {{ LsLLLLsLL LsLL LsLLLLsLL }} || ||
|| || {{ sLLLLsLLL sLLL sLLLLsLLL }} || ||
|| || {{ LLLLsLLLs LLLs LLLLsLLLs }} || ||
|| {{ LLLs LLLsLLLsL LLLsLLLsL }} || {{ LLLsLLLsL LLsL LLLsLLLsL }} || ||
|| {{ LLsL LLsLLLsLL LLsLLLsLL }} || {{ LLsLLLsLL LsLL LLsLLLsLL }} || ||
|| {{ LsLL LsLLLsLLL LsLLLsLLL }} || {{ LsLLLsLLL sLLL LsLLLsLLL }} || ||

[[image:22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png]]

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

Original HTML content:

<html><head><title>OTC 17L 5s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/17L%205s">17L+5s</a><br />
22 tones (9+4+9)<br />
<br />
<a class="wiki_link" href="/superpyth">superpyth</a>; imperfect (P&lt;0)<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = -1.3513819449<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 7.6353645871 (4/3 = 7L+2.5s)<br />
<br />
L = 54.55 to 70.59 cents (67.97 cents @ Q)<br />
s = 0.00 to 54.55 cents (8.90 cents @ Q)<br />
<br />
9/8 = 3L+s (211.76 to 218.18 cents)<br />
4/3 = 7L+2s (490.91 to 494.12 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 39, 56, 61, 73, 83<br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLLL sLLLsLLLL sLLLsLLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLLs LLLsLLLLs LLLsLLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLLsLLLsL LLLsLLLsL LLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLsL LLsLLLLsL LLsLLLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLLLsLL LLsLLLsLL LLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLL LsLLLLsLL LsLLLLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLLsLLL LsLLLsLLL LsLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLL sLLLLsLLL sLLLLsLLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLsLLLL sLLLsLLLL sLLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLLs LLLLsLLLs LLLLsLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLLsLLLLs LLLsLLLLs LLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLsL LLLsLLLsL LLLsLLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLLLLsL LLsLLLLsL LLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLL LLsLLLsLL LLsLLLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLLLsLL LsLLLLsLL LsLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLL LsLLLsLLL LsLLLsLLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLLsLLL sLLLLsLLL sLLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLLsLLLs LLLLsLLLs LLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLsLLLsL LLLs LLLsLLLsL </tt><br />
</td>
        <td><tt> LLLsLLLsL LLLsLLLsL LLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLLLsLL LLsL LLsLLLsLL </tt><br />
</td>
        <td><tt> LLsLLLsLL LLsLLLsLL LsLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLLsLLL LsLL LsLLLsLLL </tt><br />
</td>
        <td><tt> LsLLLsLLL LsLLLsLLL sLLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLsLLLL sLLL sLLLsLLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLsLLLLs LLLs LLLsLLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLLLLsL LLsL LLsLLLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLLLsLL LsLL LsLLLLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLLsLLL sLLL sLLLLsLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLLsLLLs LLLs LLLLsLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLLs LLLsLLLsL LLLsLLLsL </tt><br />
</td>
        <td><tt> LLLsLLLsL LLsL LLLsLLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLsL LLsLLLsLL LLsLLLsLL </tt><br />
</td>
        <td><tt> LLsLLLsLL LsLL LLsLLLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLL LsLLLsLLL LsLLLsLLL </tt><br />
</td>
        <td><tt> LsLLLsLLL sLLL LsLLLsLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextLocalImageRule:186:&lt;img src=&quot;/file/view/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png/591038520/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png/591038520/22_17_05_LLLLsLLLs%20LLLs%20LLLLsLLLs.png" alt="22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png" title="22_17_05_LLLLsLLLs LLLs LLLLsLLLs.png" /><!-- ws:end:WikiTextLocalImageRule:186 --><br />
<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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