OTC 12L 2s
IMPORTED REVISION FROM WIKISPACES
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Original Wikitext content:
Omnitetrachordal MODMOS scale
[[12L 2s|12L+2s]]
14 tones (6+2+6)
[[Injera]] MODMOS. Imperfect (P<0); best for L/s >= 1.5
[[Gallery of omnitetrachordal scales#perfect|P]] = -8.6918120831
[[Gallery of omnitetrachordal scales#Q|Q]] = 16.8836241662 (4/3 = 5L+0.5s)
L = 85.71 to 100.00 cents (99.02 cents @ Q)
s = 0.00 to 85.71 cents (5.87 cents @ Q)
9/8 = 2L (171.43 to 200.00 cents)
4/3 = 5L+s (500.00 to 514.28 cents)
MOS generator = L (85.7 to 100.0 cents)
MOS [[periods and generators|period]] = 1/2 octave (600.00 cents)
notable EDOs: 26, 38, 40, 50
{{ LLLLLLsLLLLLLs }} (MOS, not OTC)
{{ || }}
{{ LLLLLLLsLLLLLs }} (OTC MODMOS) - gc 8,6
all modes:
|| {{ LL LLLLLs LLLLLs }} || || ||
|| {{ LL LLLLsL LLLLsL }} || || ||
|| {{ LL LLLsLL LLLsLL }} || || {{ LLLLLs LLLLLs LL }} ||
|| {{ LL LLsLLL LLsLLL }} || || {{ LLLLsL LLLLsL LL }} ||
|| {{ LL LsLLLL LsLLLL }} || || {{ LLLsLL LLLsLL LL }} ||
|| {{ LL sLLLLL sLLLLL }} || || {{ LLsLLL LLsLLL LL }} ||
|| || || {{ LsLLLL LsLLLL LL }} ||
|| || || {{ sLLLLL sLLLLL LL }} ||
|| || {{ LLLLLs LL LLLLLs }} || ||
|| || {{ LLLLsL LL LLLLsL }} || ||
|| || {{ LLLsLL LL LLLsLL }} || ||
|| || {{ LLsLLL LL LLsLLL }} || ||
|| || {{ LsLLLL LL LsLLLL }} || ||
|| || {{ sLLLLL LL sLLLLL }} || ||
[[image:14_12_02_sLLLLL_LL_sLLLLL.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 12L 2s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/12L%202s">12L+2s</a><br />
14 tones (6+2+6)<br />
<br />
<a class="wiki_link" href="/Injera">Injera</a> MODMOS. Imperfect (P<0); best for L/s >= 1.5<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = -8.6918120831<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 16.8836241662 (4/3 = 5L+0.5s)<br />
<br />
L = 85.71 to 100.00 cents (99.02 cents @ Q)<br />
s = 0.00 to 85.71 cents (5.87 cents @ Q)<br />
<br />
9/8 = 2L (171.43 to 200.00 cents)<br />
4/3 = 5L+s (500.00 to 514.28 cents)<br />
MOS generator = L (85.7 to 100.0 cents)<br />
MOS <a class="wiki_link" href="/periods%20and%20generators">period</a> = 1/2 octave (600.00 cents)<br />
<br />
notable EDOs: 26, 38, 40, 50<br />
<br />
<tt> LLLLLLsLLLLLLs </tt> (MOS, not OTC)<br />
<tt> || </tt><br />
<tt> LLLLLLLsLLLLLs </tt> (OTC MODMOS) - gc 8,6<br />
<br />
all modes:<br />
<table class="wiki_table">
<tr>
<td><tt> LL LLLLLs LLLLLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> LL LLLLsL LLLLsL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> LL LLLsLL LLLsLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLLLLs LLLLLs LL </tt><br />
</td>
</tr>
<tr>
<td><tt> LL LLsLLL LLsLLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLLLsL LLLLsL LL </tt><br />
</td>
</tr>
<tr>
<td><tt> LL LsLLLL LsLLLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLLsLL LLLsLL LL </tt><br />
</td>
</tr>
<tr>
<td><tt> LL sLLLLL sLLLLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLsLLL LLsLLL LL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LsLLLL LsLLLL LL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLLLLL sLLLLL LL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLLLs LL LLLLLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLLsL LL LLLLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLsLL LL LLLsLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLsLLL LL LLsLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLLLL LL LsLLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLLLLL LL sLLLLL </tt><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:0:<h3> --><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><br />
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x--References"></a><!-- ws:end:WikiTextHeadingRule:2 -->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>