OTC 12L 8s: Difference between revisions

Revision as of 21:46, 2 September 2016

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Original Wikitext content:

Omnitetrachordal MODMOS scale
[[12L 8s|12L+8s]]
20 tones (8+4+8)

[[Jubilismic clan#Diminished|diminished]]; 3 forms; best at high L/s

[[Gallery of omnitetrachordal scales#perfect|P]] = 16.3836241662
[[Gallery of omnitetrachordal scales#Q|Q]] = 41.9590604155 (4/3 = 5L+2.5s)

L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q)
s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q)

9/8 = 2L+2s (200.00 to 240.00 cents)
4/3 = 5L+3s (480.00 to 500.00 cents)
MOS generator = L+s (100.00 to 120.00 cents)
MOS period = 1/4 octave (300.00 cents)

notable EDOs: 32, 44, 56, 68, 80

{{ sLsLLsLsLLsLsLLsLsLL }} (MOS, not OTC)
{{  ||||    ||     | |  }}
{{ sLLssLLsLLLssLLsLLLs }} (OTC MODMOS, form 1) - gc 6,2,4,2; 6o

{{ sLsLLsLsLLsLsLLsLsLL }} (MOS, not OTC)
{{  ||    ||||  | |     }}
{{ ssLLLsLLssLLssLLLsLL }} (OTC MODMOS, form 2) - gc 6,2,4,2; 6o

{{ sLsLLsLsLLsLsLLsLsLL }} (MOS, not OTC)
{{     ||||      || ||  }}
{{ sLsLsLsLLLsLsLsLLLsL }} (OTC MODMOS, form 3) - gc 6,6,4,4

{{ sLLssLLsLLLssLLsLLLs }} (form 1)
{{        ||      ||    }}
{{ sLLssLLLsLLssLLLsLLs }} (form 2)
{{   ||      ||      || }}
{{ sLsLsLLLsLsLsLLLsLsL }} (form 3)
{{   ||   || ||   || || }}
{{ sLLssLLsLLLssLLsLLLs }} (form 1)

all modes, form 1:
|| {{ sLLs sLLsLLLs sLLsLLLs }} || || ||
|| {{ LLss LLsLLLss LLsLLLss }} || || {{ LLssLLsL LLssLLsL LLss }} ||
|| {{ LssL LsLLLssL LsLLLssL }} || || {{ LssLLsLL LssLLsLL LssL }} ||
|| {{ ssLL sLLLssLL sLLLssLL }} || || {{ ssLLsLLL ssLLsLLL ssLL }} ||
|| {{ sLLs LLLssLLs LLLssLLs }} || || {{ sLLsLLLs sLLsLLLs sLLs }} ||
|| || || {{ LLsLLLss LLsLLLss LLss }} ||
|| || || {{ LsLLLssL LsLLLssL LssL }} ||
|| || || {{ sLLLssLL sLLLssLL ssLL }} ||
|| || || {{ LLLssLLs LLLssLLs sLLs }} ||
|| || {{ LLssLLsL LLss LLssLLsL }} || ||
|| || {{ LssLLsLL LssL LssLLsLL }} || ||
|| || {{ ssLLsLLL ssLL ssLLsLLL }} || ||
|| || {{ sLLsLLLs sLLs sLLsLLLs }} || ||
|| || {{ LLsLLLss LLss LLsLLLss }} || ||
|| || {{ LsLLLssL LssL LsLLLssL }} || ||
|| || {{ sLLLssLL ssLL sLLLssLL }} || ||
|| || {{ LLLssLLs sLLs LLLssLLs }} || ||
|| {{ LLss LLssLLsL LLssLLsL }} || || ||
|| {{ LssL LssLLsLL LssLLsLL }} || || ||
|| {{ ssLL ssLLsLLL ssLLsLLL }} || || ||

all modes, form 2:
|| {{ sLLs sLLLsLLs sLLLsLLs }} || || {{ sLLssLLL sLLssLLL sLLs }} ||
|| {{ LLss LLLsLLss LLLsLLss }} || || {{ LLssLLLs LLssLLLs LLss }} ||
|| {{ LssL LLsLLssL LLsLLssL }} || || {{ LssLLLsL LssLLLsL LssL }} ||
|| {{ ssLL LsLLssLL LsLLssLL }} || || {{ ssLLLsLL ssLLLsLL ssLL }} ||
|| || || {{ sLLLsLLs sLLLsLLs sLLs }} ||
|| || || {{ LLLsLLss LLLsLLss LLss }} ||
|| || || {{ LLsLLssL LLsLLssL LssL }} ||
|| || || {{ LsLLssLL LsLLssLL ssLL }} ||
|| || {{ sLLssLLL sLLs sLLssLLL }} || ||
|| || {{ LLssLLLs LLss LLssLLLs }} || ||
|| || {{ LssLLLsL LssL LssLLLsL }} || ||
|| || {{ ssLLLsLL ssLL ssLLLsLL }} || ||
|| || {{ sLLLsLLs sLLs sLLLsLLs }} || ||
|| || {{ LLLsLLss LLss LLLsLLss }} || ||
|| || {{ LLsLLssL LssL LLsLLssL }} || ||
|| || {{ LsLLssLL ssLL LsLLssLL }} || ||
|| {{ sLLs sLLssLLL sLLssLLL }} || || ||
|| {{ LLss LLssLLLs LLssLLLs }} || || ||
|| {{ LssL LssLLLsL LssLLLsL }} || || ||
|| {{ ssLL ssLLLsLL ssLLLsLL }} || || ||

all modes, form 3:
|| {{ sLsL sLLLsLsL sLLLsLsL }} || || {{ sLsLsLLL sLsLsLLL sLsL }} ||
|| {{ LsLs LLLsLsLs LLLsLsLs }} || || {{ LsLsLLLs LsLsLLLs LsLs }} ||
|| {{ sLsL LLsLsLsL LLsLsLsL }} || || {{ sLsLLLsL sLsLLLsL sLsL }} ||
|| || || {{ LsLLLsLs LsLLLsLs LsLs }} ||
|| || || {{ sLLLsLsL sLLLsLsL sLsL }} ||
|| || || {{ LLLsLsLs LLLsLsLs LsLs }} ||
|| || || {{ LLsLsLsL LLsLsLsL sLsL }} ||
|| || {{ LsLsLsLL LsLs LsLsLsLL }} || ||
|| || {{ sLsLsLLL sLsL sLsLsLLL }} || ||
|| || {{ LsLsLLLs LsLs LsLsLLLs }} || ||
|| || {{ sLsLLLsL sLsL sLsLLLsL }} || ||
|| || {{ LsLLLsLs LsLs LsLLLsLs }} || ||
|| || {{ sLLLsLsL sLsL sLLLsLsL }} || ||
|| || {{ LLLsLsLs LsLs LLLsLsLs }} || ||
|| || {{ LLsLsLsL sLsL LLsLsLsL }} || ||
|| {{ LsLs LsLsLsLL LsLsLsLL }} || || ||
|| {{ sLsL sLsLsLLL sLsLsLLL }} || || ||
|| {{ LsLs LsLsLLLs LsLsLLLs }} || || ||
|| {{ sLsL sLsLLLsL sLsLLLsL }} || || ||
|| {{ LsLs LsLLLsLs LsLLLsLs }} || || {{ LsLsLsLL LsLsLsLL LsLs }} ||

[[image:20_12_08_LssLLsLL_LssL_LsLLLssL.png]]

===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]

Original HTML content:

<html><head><title>OTC 12L 8s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/12L%208s">12L+8s</a><br />
20 tones (8+4+8)<br />
<br />
<a class="wiki_link" href="/Jubilismic%20clan#Diminished">diminished</a>; 3 forms; best at high L/s<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 16.3836241662<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 41.9590604155 (4/3 = 5L+2.5s)<br />
<br />
L = 60.00 to 100.00 cents (96.09 cents @ P, 98.44 cents @ Q)<br />
s = 0.00 to 60.00 cents (5.87 cents @ P, 2.35 cents @ Q)<br />
<br />
9/8 = 2L+2s (200.00 to 240.00 cents)<br />
4/3 = 5L+3s (480.00 to 500.00 cents)<br />
MOS generator = L+s (100.00 to 120.00 cents)<br />
MOS period = 1/4 octave (300.00 cents)<br />
<br />
notable EDOs: 32, 44, 56, 68, 80<br />
<br />
<tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)<br />
<tt>  ||||    ||     | |  </tt><br />
<tt> sLLssLLsLLLssLLsLLLs </tt> (OTC MODMOS, form 1) - gc 6,2,4,2; 6o<br />
<br />
<tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)<br />
<tt>  ||    ||||  | |     </tt><br />
<tt> ssLLLsLLssLLssLLLsLL </tt> (OTC MODMOS, form 2) - gc 6,2,4,2; 6o<br />
<br />
<tt> sLsLLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)<br />
<tt>     ||||      || ||  </tt><br />
<tt> sLsLsLsLLLsLsLsLLLsL </tt> (OTC MODMOS, form 3) - gc 6,6,4,4<br />
<br />
<tt> sLLssLLsLLLssLLsLLLs </tt> (form 1)<br />
<tt>        ||      ||    </tt><br />
<tt> sLLssLLLsLLssLLLsLLs </tt> (form 2)<br />
<tt>   ||      ||      || </tt><br />
<tt> sLsLsLLLsLsLsLLLsLsL </tt> (form 3)<br />
<tt>   ||   || ||   || || </tt><br />
<tt> sLLssLLsLLLssLLsLLLs </tt> (form 1)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLLs sLLsLLLs sLLsLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLsLLLss LLsLLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLLsL LLssLLsL LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LsLLLssL LsLLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLsLL LssLLsLL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL sLLLssLL sLLLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLsLLL ssLLsLLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs LLLssLLs LLLssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsLLLs sLLsLLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLLLss LLsLLLss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLLssL LsLLLssL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLssLL sLLLssLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLssLLs LLLssLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLLsL LLss LLssLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLsLL LssL LssLLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLsLLL ssLL ssLLsLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsLLLs sLLs sLLsLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLLLss LLss LLsLLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLLssL LssL LsLLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLssLL ssLL sLLLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLssLLs sLLs LLLssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLssLLsL LLssLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LssLLsLL LssLLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL ssLLsLLL ssLLsLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
all modes, form 2:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLLs sLLLsLLs sLLLsLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssLLL sLLssLLL sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLLsLLss LLLsLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLLLs LLssLLLs LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LLsLLssL LLsLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLLsL LssLLLsL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL LsLLssLL LsLLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLLsLL ssLLLsLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLsLLs sLLLsLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLsLLss LLLsLLss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLLssL LLsLLssL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLssLL LsLLssLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssLLL sLLs sLLssLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLLLs LLss LLssLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLLsL LssL LssLLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLLsLL ssLL ssLLLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLsLLs sLLs sLLLsLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLsLLss LLss LLLsLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLLssL LssL LLsLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLssLL ssLL LsLLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs sLLssLLL sLLssLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLssLLLs LLssLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LssLLLsL LssLLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL ssLLLsLL ssLLLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
all modes, form 3:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLsL sLLLsLsL sLLLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLLL sLsLsLLL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LLLsLsLs LLLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLLLs LsLsLLLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL LLsLsLsL LLsLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLLLsL sLsLLLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLLsLs LsLLLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLsLsL sLLLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLsLsLs LLLsLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLsLsL LLsLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsLL LsLs LsLsLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLLL sLsL sLsLsLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLLLs LsLs LsLsLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLLLsL sLsL sLsLLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLLsLs LsLs LsLLLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLsLsL sLsL sLLLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLsLsLs LsLs LLLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLsLsL sLsL LLsLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLsLL LsLsLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsLLL sLsLsLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLLLs LsLsLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLLLsL sLsLLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLLLsLs LsLLLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsLL LsLsLsLL LsLs </tt><br />
</td>
    </tr>
</table>

<br />
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<!-- 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>

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-: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-09-01 20:35:11 UTC</tt>.<br>
+: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-09-02 21:46:20 UTC</tt>.<br>
-: The original revision id was <tt>590810996</tt>.<br>
+: The original revision id was <tt>590989060</tt>.<br>
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 || {{ sLsL sLsLLLsL sLsLLLsL }} || || ||
 || {{ LsLs LsLLLsLs LsLLLsLs }} || || {{ LsLsLsLL LsLsLsLL LsLs }} ||
+[[image:20_12_08_LssLLsLL_LssL_LsLLLssL.png]]
 ===See also===
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+&lt;br /&gt;
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 &lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Omnitetrachordality"&gt;Omnitetrachordality&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales"&gt;Gallery of omnitetrachordal scales&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

OTC 12L 8s: Difference between revisions

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