OTC 12L 3s: Difference between revisions

Revision as of 20:40, 31 August 2016

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This revision was by author spt3125 and made on 2016-08-31 20:40:32 UTC.

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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 />
<!-- ws:start:WikiTextLocalImageRule:130:&lt;img src=&quot;/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png" alt="15_12_03_LLLLLs_LLs_LLLLLs.png" title="15_12_03_LLLLLs_LLs_LLLLLs.png" /><!-- ws:end:WikiTextLocalImageRule:130 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-08-31 20:35:02 UTC</tt>.<br>
+: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-08-31 20:40:32 UTC</tt>.<br>
-: The original revision id was <tt>590699978</tt>.<br>
+: The original revision id was <tt>590700274</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 25: / Line 25: @@
 notable EDOs: 27, 39, 51
-{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gc 5,5,5 // pc 3,3,3,3,3 // 3/2c 5,5,5
+{{ 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) - gc 6,6,3 // pc 3,3,3,2,2 // 3/2c 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 }}
@@ Line 75: / Line 75: @@
 notable EDOs: 27, 39, 51&lt;br /&gt;
 &lt;br /&gt;
-&lt;tt&gt; LLLLsLLLLsLLLLs &lt;/tt&gt; (MOS, not OTC) - gc 5,5,5 &lt;em&gt; pc 3,3,3,3,3 &lt;/em&gt; 3/2c 5,5,5&lt;br /&gt;
+&lt;tt&gt; LLLLsLLLLsLLLLs &lt;/tt&gt; (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5&lt;br /&gt;
 &lt;tt&gt;     ||  ||      &lt;/tt&gt;&lt;br /&gt;
-&lt;tt&gt; LLLLLsLLsLLLLLs &lt;/tt&gt; (OTC MODMOS) - gc 6,6,3 &lt;em&gt; pc 3,3,3,2,2 &lt;/em&gt; 3/2c 5,5,5&lt;br /&gt;
+&lt;tt&gt; LLLLLsLLsLLLLLs &lt;/tt&gt; (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5&lt;br /&gt;
 &lt;br /&gt;
 symmetric mode: &lt;tt&gt; LsLLLLLsLLLLLsL &lt;/tt&gt;&lt;br /&gt;

OTC 12L 3s: Difference between revisions

Revision as of 20:40, 31 August 2016

IMPORTED REVISION FROM WIKISPACES

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