OTC 7L 3s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2016-08-28 20:58:23 UTC.
- The original revision id was 590307874.
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Original Wikitext content:
Omnitetrachordal MODMOS scale
[[7L 3s|7L+3s]]
10 tones (4+2+4)
[[Mohajira]] / [[Neutral third scales|neutral-thirds]] [[MODMOS]]; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s
[[Gallery of omnitetrachordal scales#perfect|P]] = 2.5872804832
[[Gallery of omnitetrachordal scales#Q|Q]] = 7.8650213288 (4/3 = 3L+0.5s)
L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)
s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)
9/8 = L+s (171.43 to 240.00 cents)
4/3 = 3L+s (480.00 to 514.29 cents)
MOS generator = 2L+s (342.86 to 360.00 cents)
notable EDOs: 17, 24, 27, 31, 37, 41
{{ sLLsLLsLLL }} (MOS, not OTC)
{{ || }}
{{ sLLLsLsLLL }} (OTC MODMOS) - chain of 8 generators, 2 orphaned notes
(Note: both MOS and OTC have two chains of five 3/2s.)
all modes:
|| {{ Ls LLLs LLLs }} || || {{ LsLL LsLL Ls }} ||
|| {{ sL LLsL LLsL }} || || {{ sLLL sLLL sL }} ||
|| || || {{ LLLs LLLs Ls }} ||
|| || || {{ LLsL LLsL sL }} ||
|| || {{ LsLL Ls LsLL }} || ||
|| || {{ sLLL sL sLLL }} || ||
|| || {{ LLLs Ls LLLs }} || ||
|| || {{ LLsL sL LLsL }} || ||
|| {{ Ls LsLL LsLL }} || || ||
|| {{ sL sLLL sLLL }} || || ||
[[image:10_07_03_sLLL_sL_sLLL.png]]
===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]
Original HTML content:
<html><head><title>OTC 7L 3s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%203s">7L+3s</a><br />
10 tones (4+2+4)<br />
<br />
<a class="wiki_link" href="/Mohajira">Mohajira</a> / <a class="wiki_link" href="/Neutral%20third%20scales">neutral-thirds</a> <a class="wiki_link" href="/MODMOS">MODMOS</a>; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 2.5872804832<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 7.8650213288 (4/3 = 3L+0.5s)<br />
<br />
L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)<br />
s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)<br />
<br />
9/8 = L+s (171.43 to 240.00 cents)<br />
4/3 = 3L+s (480.00 to 514.29 cents)<br />
MOS generator = 2L+s (342.86 to 360.00 cents)<br />
<br />
notable EDOs: 17, 24, 27, 31, 37, 41<br />
<br />
<tt> sLLsLLsLLL </tt> (MOS, not OTC)<br />
<tt> || </tt> <br />
<tt> sLLLsLsLLL </tt> (OTC MODMOS) - chain of 8 generators, 2 orphaned notes<br />
<br />
(Note: both MOS and OTC have two chains of five 3/2s.)<br />
<br />
all modes:<br />
<table class="wiki_table">
<tr>
<td><tt> Ls LLLs LLLs </tt><br />
</td>
<td><br />
</td>
<td><tt> LsLL LsLL Ls </tt><br />
</td>
</tr>
<tr>
<td><tt> sL LLsL LLsL </tt><br />
</td>
<td><br />
</td>
<td><tt> sLLL sLLL sL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLLs LLLs Ls </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLsL LLsL sL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLL Ls LsLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLLL sL sLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLs Ls LLLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLsL sL LLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Ls LsLL LsLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sL sLLL sLLL </tt><br />
</td>
<td><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></body></html>