OTC 2L 5s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2016-08-28 20:40:55 UTC.
- The original revision id was 590306924.
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Original Wikitext content:
Omnitetrachordal MOS scale
[[2L 5s|2L+5s]]
7 tones (3+1+3)
The [[Mavila Temperament Modal Harmony|mavila]] diatonic scale. [[Gallery of omnitetrachordal scales#dual|Dual]] of [[OTC 5L 2s|OTC 5L+2s]]. "Best" for low values of L/s.
[[Gallery of omnitetrachordal scales#perfect|P]] = 0.4424745962
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.3849491924 (4/3 = L+1.5s)
L = 171.43 to 600.00 cents (345.11 cents @ Q)
s = 0.00 to 171.43 cents (101.96 cents @ Q)
9/8 = s (0.00 to 171.43 cents)
4/3 = L+2s (514.29 to 600.00 cents)
generator = 4/3
notable EDOs: 9, 11, 16, 23
symmetric mode: {{ sLsssLs }}
all modes:
|| || {{ Lss s Lss }} || ||
|| {{ s ssL ssL }} || || ||
|| {{ s sLs sLs }} || || {{ ssL ssL s }} ||
|| {{ s Lss Lss }} || || {{ sLs sLs s }} ||
|| || || {{ Lss Lss s }} ||
|| || {{ ssL s ssL }} || ||
|| || {{ sLs s sLs }} || ||
[[image:07_02_05_sLs_s_sLs.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 2L 5s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/2L%205s">2L+5s</a><br />
7 tones (3+1+3)<br />
<br />
The <a class="wiki_link" href="/Mavila%20Temperament%20Modal%20Harmony">mavila</a> diatonic scale. <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#dual">Dual</a> of <a class="wiki_link" href="/OTC%205L%202s">OTC 5L+2s</a>. "Best" for low values of L/s.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 0.4424745962<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 3.3849491924 (4/3 = L+1.5s)<br />
<br />
L = 171.43 to 600.00 cents (345.11 cents @ Q)<br />
s = 0.00 to 171.43 cents (101.96 cents @ Q)<br />
<br />
9/8 = s (0.00 to 171.43 cents)<br />
4/3 = L+2s (514.29 to 600.00 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 9, 11, 16, 23<br />
<br />
symmetric mode: <tt> sLsssLs </tt><br />
<br />
all modes:<br />
<table class="wiki_table">
<tr>
<td><br />
</td>
<td><tt> Lss s Lss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> s ssL ssL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> s sLs sLs </tt><br />
</td>
<td><br />
</td>
<td><tt> ssL ssL s </tt><br />
</td>
</tr>
<tr>
<td><tt> s Lss Lss </tt><br />
</td>
<td><br />
</td>
<td><tt> sLs sLs s </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> Lss Lss s </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssL s ssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLs s sLs </tt><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextLocalImageRule:72:<img src="/file/view/07_02_05_sLs_s_sLs.png/589273778/07_02_05_sLs_s_sLs.png" alt="" title="" /> --><img src="/file/view/07_02_05_sLs_s_sLs.png/589273778/07_02_05_sLs_s_sLs.png" alt="07_02_05_sLs_s_sLs.png" title="07_02_05_sLs_s_sLs.png" /><!-- ws:end:WikiTextLocalImageRule:72 --><br />
<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>