OTC 10L 2s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2016-08-28 21:26:50 UTC.
- The original revision id was 590309064.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Omnitetrachordal MODMOS scale
[[10L 2s|10L+2s]]
12 tones (5+2+5)
[[Pajara]] MODMOS. Good for most any ratio of L to s.
[[Gallery of omnitetrachordal scales#perfect|P]] = 1.1300083763
L = 100.00 to 120.00 cents (101.95 cents @ P)
s = 0.00 to 100.00 cents (90.23 cents @ P)
9/8 = 2L (200.00 to 240.00 cents)
4/3 = 4L+s (480.00 to 500.00 cents)
MOS generator = L (100.00 to 120.00 cents)
MOS [[periods and generators|period]] = 1/2 octave (600.00 cents)
notable EDOs: 22, 32, 34, 46
{{ LLLLLsLLLLLs }} (MOS)
{{ || }}
{{ LLLLLLsLLLLs }} (OTC MODMOS) - gc 7,5
symmetric modes:
{{ LLLsLLLLsLLL }}
{{ LLsLLLLLLsLL }}
all modes:
|| {{ LL LLLLs LLLLs }} || || ||
|| {{ LL LLLsL LLLsL }} || || ||
|| {{ LL LLsLL LLsLL }} || || {{ LLLLs LLLLs LL }} ||
|| {{ LL LsLLL LsLLL }} || || {{ LLLsL LLLsL LL }} ||
|| {{ LL sLLLL sLLLL }} || || {{ LLsLL LLsLL LL }} ||
|| || || {{ LsLLL LsLLL LL }} ||
|| || || {{ sLLLL sLLLL LL }} ||
|| || {{ LLLLs LL LLLLs }} || ||
|| || {{ LLLsL LL LLLsL }} || ||
|| || {{ LLsLL LL LLsLL }} || ||
|| || {{ LsLLL LL LsLLL }} || ||
|| || {{ sLLLL LL sLLLL }} || ||
[[image:12_10_02_LLsLL_LL_LLsLL.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 10L 2s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/10L%202s">10L+2s</a><br />
12 tones (5+2+5)<br />
<br />
<a class="wiki_link" href="/Pajara">Pajara</a> MODMOS. Good for most any ratio of L to s.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.1300083763<br />
<br />
L = 100.00 to 120.00 cents (101.95 cents @ P)<br />
s = 0.00 to 100.00 cents (90.23 cents @ P)<br />
<br />
9/8 = 2L (200.00 to 240.00 cents)<br />
4/3 = 4L+s (480.00 to 500.00 cents)<br />
MOS generator = L (100.00 to 120.00 cents)<br />
MOS <a class="wiki_link" href="/periods%20and%20generators">period</a> = 1/2 octave (600.00 cents)<br />
<br />
notable EDOs: 22, 32, 34, 46<br />
<br />
<tt> LLLLLsLLLLLs </tt> (MOS)<br />
<tt> || </tt> <br />
<tt> LLLLLLsLLLLs </tt> (OTC MODMOS) - gc 7,5<br />
<br />
symmetric modes:<br />
<tt> LLLsLLLLsLLL </tt><br />
<tt> LLsLLLLLLsLL </tt><br />
<br />
all modes:<br />
<table class="wiki_table">
<tr>
<td><tt> LL LLLLs LLLLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> LL LLLsL LLLsL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> LL LLsLL LLsLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLLLs LLLLs LL </tt><br />
</td>
</tr>
<tr>
<td><tt> LL LsLLL LsLLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLLsL LLLsL LL </tt><br />
</td>
</tr>
<tr>
<td><tt> LL sLLLL sLLLL </tt><br />
</td>
<td><br />
</td>
<td><tt> LLsLL LLsLL LL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LsLLL LsLLL LL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLLLL sLLLL LL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLLs LL LLLLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLLsL LL LLLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLsLL LL LLsLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLLL LL LsLLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLLLL LL sLLLL </tt><br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextLocalImageRule:112:<img src="/file/view/12_10_02_LLsLL_LL_LLsLL.png/589273834/12_10_02_LLsLL_LL_LLsLL.png" alt="" title="" /> --><img src="/file/view/12_10_02_LLsLL_LL_LLsLL.png/589273834/12_10_02_LLsLL_LL_LLsLL.png" alt="12_10_02_LLsLL_LL_LLsLL.png" title="12_10_02_LLsLL_LL_LLsLL.png" /><!-- ws:end:WikiTextLocalImageRule:112 --><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>