OTC 12L 3s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2016-08-31 20:40:32 UTC.
- The original revision id was 590700274.
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Original Wikitext content:
Omnitetrachordal MODMOS scale
[[12L 3s|12L+3s]]
15 tones (6+3+6)
temperament: [[augmented]]
[[Gallery of omnitetrachordal scales#perfect|P]] = 12.5377181246
[[Gallery of omnitetrachordal scales#Q|Q]] = 38.1131543739 (4/3 = 5L+0.5s)
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)
9/8 = 2L+s (200.00 to 240.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS period = 1/3 octave (400.00 cents)
notable EDOs: 27, 39, 51
{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
{{ || || }}
{{ LLLLLsLLsLLLLLs }} (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5
symmetric mode: {{ LsLLLLLsLLLLLsL }}
all modes:
|| {{ LLs LLLLLs LLLLLs }} || || {{ LLsLLL LLsLLL LLs }} ||
|| {{ LsL LLLLsL LLLLsL }} || || {{ LsLLLL LsLLLL LsL }} ||
|| {{ sLL LLLsLL LLLsLL }} || || {{ sLLLLL sLLLLL sLL }} ||
|| || || {{ LLLLLs LLLLLs LLs }} ||
|| || || {{ LLLLsL LLLLsL LsL }} ||
|| || || {{ LLLsLL LLLsLL sLL }} ||
|| || {{ LLsLLL LLs LLsLLL }} || ||
|| || {{ LsLLLL LsL LsLLLL }} || ||
|| || {{ sLLLLL sLL sLLLLL }} || ||
|| || {{ LLLLLs LLs LLLLLs }} || ||
|| || {{ LLLLsL LsL LLLLsL }} || ||
|| || {{ LLLsLL sLL LLLsLL }} || ||
|| {{ LLs LLsLLL LLsLLL }} || || ||
|| {{ LsL LsLLLL LsLLLL }} || || ||
|| {{ sLL sLLLLL sLLLLL }} || || ||
[[image:15_12_03_LLLLLs_LLs_LLLLLs.png]]
===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]
Original HTML content:
<html><head><title>OTC 12L 3s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/12L%203s">12L+3s</a><br />
15 tones (6+3+6)<br />
<br />
temperament: <a class="wiki_link" href="/augmented">augmented</a><br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 12.5377181246<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 38.1131543739 (4/3 = 5L+0.5s)<br />
<br />
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)<br />
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)<br />
<br />
9/8 = 2L+s (200.00 to 240.00 cents)<br />
4/3 = 5L+s (480.00 to 500.00 cents)<br />
MOS generator = L (80.0 to 100.0 cents)<br />
MOS period = 1/3 octave (400.00 cents)<br />
<br />
notable EDOs: 27, 39, 51<br />
<br />
<tt> LLLLsLLLLsLLLLs </tt> (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5<br />
<tt> || || </tt><br />
<tt> LLLLLsLLsLLLLLs </tt> (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5<br />
<br />
symmetric mode: <tt> LsLLLLLsLLLLLsL </tt><br />
<br />
all modes:<br />
<table class="wiki_table">
<tr>
<td><tt> LLs LLLLLs LLLLLs </tt><br />
</td>
<td><br />
</td>
<td><tt> LLsLLL LLsLLL LLs </tt><br />
</td>
</tr>
<tr>
<td><tt> LsL LLLLsL LLLLsL </tt><br />
</td>
<td><br />
</td>
<td><tt> LsLLLL LsLLLL LsL </tt><br />
</td>
</tr>
<tr>
<td><tt> sLL LLLsLL LLLsLL </tt><br />
</td>
<td><br />
</td>
<td><tt> sLLLLL sLLLLL sLL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLLLLs LLLLLs LLs </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLLLsL LLLLsL LsL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLLsLL LLLsLL sLL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLsLLL LLs LLsLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLLLL LsL LsLLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLLLLL sLL sLLLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLLLs LLs LLLLLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLLsL LsL LLLLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLsLL sLL LLLsLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> LLs LLsLLL LLsLLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> LsL LsLLLL LsLLLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sLL sLLLLL sLLLLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
<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></body></html>