OTC 5L 9s

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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 22:27:13 UTC.
The original revision id was 590313048.
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
[[5L 9s|5L+9s]]
14 tones (6+2+6)

temperaments: [[Semaphore and Godzilla|Semaphore / godzilla]]

[[Gallery of omnitetrachordal scales#perfect|P]] = 3.5200335053
[[Gallery of omnitetrachordal scales#Q|Q]] = 10.170075387 (4/3 = 2L+4.5s)

L = 85.71 to 240.00 cents (158.80 cents @ P, 203.91 cents @ Q)
s = 0.00 to 85.71 cents (45.11 cents @ P, 20.05 cents @ Q)

9/8 = L+s (171.43 to 240.00 cents)
4/3 = 2L+4s (480.00 to 514.29 cents)
MOS generator = L+2s (240.00 to 257.14 cents)

notable EDOs: 19, 24, 29, 33, 34, 53

{{ ssLssLssLssLsL }} ([[MOS]], not OTC)
{{   ||    ||     }}
{{ sssLsLsssLsLsL }} (OTC [[MODMOS]]) - gc 10, 4o

all modes:
|| || || {{ sssLsL sssLsL sL }} ||
|| || || {{ ssLsLs ssLsLs Ls }} ||
|| || {{ sLsLss sL sLsLss }} || ||
|| || {{ LsLsss Ls LsLsss }} || ||
|| || {{ sLsssL sL sLsssL }} || ||
|| || {{ LsssLs Ls LsssLs }} || ||
|| || {{ sssLsL sL sssLsL }} || ||
|| || {{ ssLsLs Ls ssLsLs }} || ||
|| {{ sL sLsLss sLsLss }} || || ||
|| {{ Ls LsLsss LsLsss }} || || ||
|| {{ sL sLsssL sLsssL }} || || {{ sLsLss sLsLss sL }} ||
|| {{ Ls LsssLs LsssLs }} || || {{ LsLsss LsLsss Ls }} ||
|| {{ sL sssLsL sssLsL }} || || {{ sLsssL sLsssL sL }} ||
|| {{ Ls ssLsLs ssLsLs }} || || {{ LsssLs LsssLs Ls }} ||

[[image:14_05_09_LsssLs_Ls_LsssLs.png]]

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

Original HTML content:

<html><head><title>OTC 5L 9s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/5L%209s">5L+9s</a><br />
14 tones (6+2+6)<br />
<br />
temperaments: <a class="wiki_link" href="/Semaphore%20and%20Godzilla">Semaphore / godzilla</a><br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 3.5200335053<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 10.170075387 (4/3 = 2L+4.5s)<br />
<br />
L = 85.71 to 240.00 cents (158.80 cents @ P, 203.91 cents @ Q)<br />
s = 0.00 to 85.71 cents (45.11 cents @ P, 20.05 cents @ Q)<br />
<br />
9/8 = L+s (171.43 to 240.00 cents)<br />
4/3 = 2L+4s (480.00 to 514.29 cents)<br />
MOS generator = L+2s (240.00 to 257.14 cents)<br />
<br />
notable EDOs: 19, 24, 29, 33, 34, 53<br />
<br />
<tt> ssLssLssLssLsL </tt> (<a class="wiki_link" href="/MOS">MOS</a>, not OTC)<br />
<tt>   ||    ||     </tt><br />
<tt> sssLsLsssLsLsL </tt> (OTC <a class="wiki_link" href="/MODMOS">MODMOS</a>) - gc 10, 4o<br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsL sssLsL sL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLs ssLsLs Ls </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLss sL sLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsss Ls LsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssL sL sLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLs Ls LsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsL sL sssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLs Ls ssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sL sLsLss sLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Ls LsLsss LsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sL sLsssL sLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLss sLsLss sL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Ls LsssLs LsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsss LsLsss Ls </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sL sssLsL sssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssL sLsssL sL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Ls ssLsLs ssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLs LsssLs Ls </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>