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OTC 7L 12s

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Original Wikitext content:

Omnitetrachordal MOS scale
[[7L 12s|7L+12s]]
19 tones (8+3+8)

[[Meantone family#Flattone|Flattone]] MOS; [[{$page}#perfect|P]]<0 (oddly, neither this scale nor its [[{$page}#dual|dual]] can be tuned with a perfect 3/2!)

P = -0.2063597584
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.0713810872 (4/3 = 3L+4.5s)

L = 63.16 to 171.43 cents (128.12 cents @ Q)
s = 0.00 to 63.16 cents (25.26 cents @ Q)

9/8 = L+2s (171.43 to 189.47 cents)
4/3 = 3L+5s (505.26 to 514.29 cents)
generator = 4/3

notable EDOs: 26, 33, 40, 45

symmetric mode: {{ sLssLsLssLssLsLssLs }}

all modes:
|| {{ sLs sLsLssLs sLsLssLs }} || || {{ sLssLsLs sLssLsLs sLs }} ||
|| {{ Lss LsLssLss LsLssLss }} || || {{ LssLsLss LssLsLss Lss }} ||
|| {{ ssL sLssLssL sLssLssL }} || || {{ ssLsLssL ssLsLssL ssL }} ||
|| {{ sLs LssLssLs LssLssLs }} || || {{ sLsLssLs sLsLssLs sLs }} ||
|| || || {{ LsLssLss LsLssLss Lss }} ||
|| || {{ sLssLssL sLs sLssLssL }} || {{ sLssLssL sLssLssL ssL }} ||
|| || {{ LssLssLs Lss LssLssLs }} || {{ LssLssLs LssLssLs sLs }} ||
|| || {{ ssLssLsL ssL ssLssLsL }} || ||
|| || {{ sLssLsLs sLs sLssLsLs }} || ||
|| || {{ LssLsLss Lss LssLsLss }} || ||
|| || {{ ssLsLssL ssL ssLsLssL }} || ||
|| || {{ sLsLssLs sLs sLsLssLs }} || ||
|| || {{ LsLssLss Lss LsLssLss }} || ||
|| {{ sLs sLssLssL sLssLssL }} || {{ sLssLssL ssL sLssLssL }} || ||
|| {{ Lss LssLssLs LssLssLs }} || {{ LssLssLs sLs LssLssLs }} || ||
|| {{ ssL ssLssLsL ssLssLsL }} || || ||
|| {{ sLs sLssLsLs sLssLsLs }} || || {{ sLssLssL sLssLssL sLs }} ||
|| {{ Lss LssLsLss LssLsLss }} || || {{ LssLssLs LssLssLs Lss }} ||
|| {{ ssL ssLsLssL ssLsLssL }} || || {{ ssLssLsL ssLssLsL ssL }} ||

[[image:19_07_12_LssLsLss_Lss_LssLsLss.png]]

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

===References===
* Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [[http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685|3685]] and [[http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987|10987]].

Original HTML content:

<html><head><title>OTC 7L 12s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/7L%2012s">7L+12s</a><br />
19 tones (8+3+8)<br />
<br />
<a class="wiki_link" href="/Meantone%20family#Flattone">Flattone</a> MOS; <!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#perfect|P]] --><a class="wiki_link" href="/OTC%207L%2012s#perfect">P</a><!-- ws:end:WikiTextVariableComponentRule:01 -->&lt;0 (oddly, neither this scale nor its <!-- ws:start:WikiTextVariableComponentRule:03:[[{$page}#dual|dual]] --><a class="wiki_link" href="/OTC%207L%2012s#dual">dual</a><!-- ws:end:WikiTextVariableComponentRule:03 --> can be tuned with a perfect 3/2!)<br />
<br />
P = -0.2063597584<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 5.0713810872 (4/3 = 3L+4.5s)<br />
<br />
L = 63.16 to 171.43 cents (128.12 cents @ Q)<br />
s = 0.00 to 63.16 cents (25.26 cents @ Q)<br />
<br />
9/8 = L+2s (171.43 to 189.47 cents)<br />
4/3 = 3L+5s (505.26 to 514.29 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 26, 33, 40, 45<br />
<br />
symmetric mode: <tt> sLssLsLssLssLsLssLs </tt><br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLs sLsLssLs sLsLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLsLs sLssLsLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LsLssLss LsLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsLss LssLsLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL sLssLssL sLssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLssL ssLsLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs LssLssLs LssLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLssLs sLsLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLssLss LsLssLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLssL sLs sLssLssL </tt><br />
</td>
        <td><tt> sLssLssL sLssLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLssLs Lss LssLssLs </tt><br />
</td>
        <td><tt> LssLssLs LssLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLsL ssL ssLssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLsLs sLs sLssLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsLss Lss LssLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLssL ssL ssLsLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLssLs sLs sLsLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLssLss Lss LsLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLssL sLssLssL </tt><br />
</td>
        <td><tt> sLssLssL ssL sLssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLssLs LssLssLs </tt><br />
</td>
        <td><tt> LssLssLs sLs LssLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLssLsL ssLssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLsLs sLssLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLssL sLssLssL sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LssLsLss LssLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLssLs LssLssLs Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLsLssL ssLsLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLsL ssLssLsL ssL </tt><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextLocalImageRule:172:&lt;img src=&quot;/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png" alt="19_07_12_LssLsLss_Lss_LssLsLss.png" title="19_07_12_LssLsLss_Lss_LssLsLss.png" /><!-- ws:end:WikiTextLocalImageRule:172 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:4 -->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><br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc1"><a name="x--References"></a><!-- ws:end:WikiTextHeadingRule:6 -->References</h3>
<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow">3685</a> and <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow">10987</a>.</li></ul></body></html>
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