OTC 12L 12s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal MOS and MODMOS scale
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>2016-09-02 21:56:20 UTC</tt>.<br>
[[12L_12s|12L+12s]]
: The original revision id was <tt>590989362</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Omnitetrachordal MOS and MODMOS scale
[[12L 12s|12L+12s]]
24 tones (10+4+10)
24 tones (10+4+10)


[[Pythagorean family|catler, compton]]; 3 forms
[[Pythagorean_family|catler, compton]]; 3 forms


Form 1 (MOS) has some unusual properties:
Form 1 (MOS) has some unusual properties:
* it has only two modes
* either mode may be split in any of the three possible omnitetrachordal ways (9/8-4/3-4/3, 4/3-9/8-4/3, 4/3-4/3-9/8)
* it is its own dual (changing all L to s, and vice versa, gives the same scale)


See also [[OTC 5L 5s|OTC 5L+5s]] (blackwood) and [[OTC 7L 7s|OTC 7L+7s]] (whitewood), which have similar properties.
<ul><li>it has only two modes</li><li>either mode may be split in any of the three possible omnitetrachordal ways (9/8-4/3-4/3, 4/3-9/8-4/3, 4/3-4/3-9/8)</li><li>it is its own dual (changing all L to s, and vice versa, gives the same scale)</li></ul>
 
See also [[OTC_5L_5s|OTC 5L+5s]] (blackwood) and [[OTC_7L_7s|OTC 7L+7s]] (whitewood), which have similar properties.


For all 3 forms:
For all 3 forms:
* the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio
 
<ul><li>the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio</li></ul>


Forms 2 and 3 are duals.
Forms 2 and 3 are duals.


[[Gallery of omnitetrachordal scales#perfect|P]] = undefined (-1?)
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = undefined (-1?)
[[Gallery of omnitetrachordal scales#Q|Q]] = 24.5754362493 (4/3 = 5L+4.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 24.5754362493 (4/3 = 5L+4.5s)


L = 50.00 to 100.00 cents (96.09 cents @ Q)
L = 50.00 to 100.00 cents (96.09 cents @ Q)
s = 0.00 to 50.00 cents (3.91 cents @ Q)
s = 0.00 to 50.00 cents (3.91 cents @ Q)


9/8 = 2L+2s (200.00 cents, for any L/s)
9/8 = 2L+2s (200.00 cents, for any L/s)
4/3 = 5L+5s (500.00 cents, for any L/s)
4/3 = 5L+5s (500.00 cents, for any L/s)
MOS generator = s (0.00 to 50.00 cents)
MOS generator = s (0.00 to 50.00 cents)
MOS period = 1/12 octave (100.00 cents)
MOS period = 1/12 octave (100.00 cents)


notable EDOs: 36, 48, 60, 72, 84
notable EDOs: 36, 48, 60, 72, 84


{{ LsLsLsLsLsLsLsLsLsLsLsLs }} (OTC form 1, MOS)
<tt> LsLsLsLsLsLsLsLsLsLsLsLs </tt> (OTC form 1, MOS)
{{ |    ||  ||    ||  ||  | }}
{{ ssLsLLssLLssLsLLssLLssLL }} (form 2, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o
{{    ||        ||          }}
{{ ssLLsLssLLssLLsLssLLssLL }} (form 3, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o
{{ |  ||||  ||  ||||  ||  | }}
{{ LsLsLsLsLsLsLsLsLsLsLsLs }} (form 1)


all modes, form 1:
<tt> |    ||  ||    ||  ||  | </tt>
|| {{ LsLs LsLsLsLsLs LsLsLsLsLs }} || {{ LsLsLsLsLs LsLs LsLsLsLsLs }} || {{ LsLsLsLsLs LsLsLsLsLs LsLs }} ||
|| {{ sLsL sLsLsLsLsL sLsLsLsLsL }} || {{ sLsLsLsLsL sLsL sLsLsLsLsL }} || {{ sLsLsLsLsL sLsLsLsLsL sLsL }} ||


all modes, form 2:
<tt> ssLsLLssLLssLsLLssLLssLL </tt> (form 2, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o
|| || || {{ ssLsLLssLL ssLsLLssLL ssLL }} ||
|| || || {{ sLsLLssLLs sLsLLssLLs sLLs }} ||
|| || || {{ LsLLssLLss LsLLssLLss LLss }} ||
|| || {{ sLLssLLssL sLLs sLLssLLssL }} || {{ sLLssLLssL sLLssLLssL LssL }} ||
|| || {{ LLssLLssLs LLss LLssLLssLs }} || ||
|| || {{ LssLLssLsL LssL LssLLssLsL }} || ||
|| || {{ ssLLssLsLL ssLL ssLLssLsLL }} || ||
|| || {{ sLLssLsLLs sLLs sLLssLsLLs }} || ||
|| || {{ LLssLsLLss LLss LLssLsLLss }} || ||
|| || {{ LssLsLLssL LssL LssLsLLssL }} || ||
|| || {{ ssLsLLssLL ssLL ssLsLLssLL }} || ||
|| || {{ sLsLLssLLs sLLs sLsLLssLLs }} || ||
|| || {{ LsLLssLLss LLss LsLLssLLss }} || ||
|| {{ sLLs sLLssLLssL sLLssLLssL }} || {{ sLLssLLssL LssL sLLssLLssL }} || ||
|| {{ LLss LLssLLssLs LLssLLssLs }} || || ||
|| {{ LssL LssLLssLsL LssLLssLsL }} || || ||
|| {{ ssLL ssLLssLsLL ssLLssLsLL }} || || ||
|| {{ sLLs sLLssLsLLs sLLssLsLLs }} || || {{ sLLssLLssL sLLssLLssL sLLs }} ||
|| {{ LLss LLssLsLLss LLssLsLLss }} || || {{ LLssLLssLs LLssLLssLs LLss }} ||
|| {{ LssL LssLsLLssL LssLsLLssL }} || || {{ LssLLssLsL LssLLssLsL LssL }} ||
|| {{ ssLL ssLsLLssLL ssLsLLssLL }} || || {{ ssLLssLsLL ssLLssLsLL ssLL }} ||
|| {{ sLLs sLsLLssLLs sLsLLssLLs }} || || {{ sLLssLsLLs sLLssLsLLs sLLs }} ||
|| {{ LLss LsLLssLLss LsLLssLLss }} || || {{ LLssLsLLss LLssLsLLss LLss }} ||
|| {{ LssL sLLssLLssL sLLssLLssL }} || || {{ LssLsLLssL LssLsLLssL LssL }} ||


all modes, form 3:
<tt>    ||        ||          </tt>
|| {{ ssLL sLssLLssLL sLssLLssLL }} || || {{ ssLLsLssLL ssLLsLssLL ssLL }} ||
|| {{ sLLs LssLLssLLs LssLLssLLs }} || || {{ sLLsLssLLs sLLsLssLLs sLLs }} ||
|| || || {{ LLsLssLLss LLsLssLLss LLss }} ||
|| || || {{ LsLssLLssL LsLssLLssL LssL }} ||
|| || || {{ sLssLLssLL sLssLLssLL ssLL }} ||
|| || {{ LssLLssLLs LssL LssLLssLLs }} || {{ LssLLssLLs LssLLssLLs sLLs }} ||
|| || {{ ssLLssLLsL ssLL ssLLssLLsL }} || ||
|| || {{ sLLssLLsLs sLLs sLLssLLsLs }} || ||
|| || {{ LLssLLsLss LLss LLssLLsLss }} || ||
|| || {{ LssLLsLssL LssL LssLLsLssL }} || ||
|| || {{ ssLLsLssLL ssLL ssLLsLssLL }} || ||
|| || {{ sLLsLssLLs sLLs sLLsLssLLs }} || ||
|| || {{ LLsLssLLss LLss LLsLssLLss }} || ||
|| || {{ LsLssLLssL LssL LsLssLLssL }} || ||
|| || {{ sLssLLssLL ssLL sLssLLssLL }} || ||
|| {{ LssL LssLLssLLs LssLLssLLs }} || {{ LssLLssLLs sLLs LssLLssLLs }} || ||
|| {{ ssLL ssLLssLLsL ssLLssLLsL }} || || ||
|| {{ sLLs sLLssLLsLs sLLssLLsLs }} || || ||
|| {{ LLss LLssLLsLss LLssLLsLss }} || || ||
|| {{ LssL LssLLsLssL LssLLsLssL }} || || {{ LssLLssLLs LssLLssLLs LssL }} ||
|| {{ ssLL ssLLsLssLL ssLLsLssLL }} || || {{ ssLLssLLsL ssLLssLLsL ssLL }} ||
|| {{ sLLs sLLsLssLLs sLLsLssLLs }} || || {{ sLLssLLsLs sLLssLLsLs sLLs }} ||
|| {{ LLss LLsLssLLss LLsLssLLss }} || || {{ LLssLLsLss LLssLLsLss LLss }} ||
|| {{ LssL LsLssLLssL LsLssLLssL }} || || {{ LssLLsLssL LssLLsLssL LssL }} ||


[[image:24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png]]
<tt> ssLLsLssLLssLLsLssLLssLL </tt> (form 3, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o


[[image:24_12_12_LLssLLssLs_LLss_LLssLLssLs.png]]
<tt> |  ||||  ||  ||||  ||  | </tt>


===See also===
<tt> LsLsLsLsLsLsLsLsLsLsLsLs </tt> (form 1)
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;OTC 12L 12s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS and MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/12L%2012s"&gt;12L+12s&lt;/a&gt;&lt;br /&gt;
24 tones (10+4+10)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Pythagorean%20family"&gt;catler, compton&lt;/a&gt;; 3 forms&lt;br /&gt;
&lt;br /&gt;
Form 1 (MOS) has some unusual properties:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;it has only two modes&lt;/li&gt;&lt;li&gt;either mode may be split in any of the three possible omnitetrachordal ways (9/8-4/3-4/3, 4/3-9/8-4/3, 4/3-4/3-9/8)&lt;/li&gt;&lt;li&gt;it is its own dual (changing all L to s, and vice versa, gives the same scale)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
See also &lt;a class="wiki_link" href="/OTC%205L%205s"&gt;OTC 5L+5s&lt;/a&gt; (blackwood) and &lt;a class="wiki_link" href="/OTC%207L%207s"&gt;OTC 7L+7s&lt;/a&gt; (whitewood), which have similar properties.&lt;br /&gt;
&lt;br /&gt;
For all 3 forms:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
Forms 2 and 3 are duals.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = undefined (-1?)&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 24.5754362493 (4/3 = 5L+4.5s)&lt;br /&gt;
&lt;br /&gt;
L = 50.00 to 100.00 cents (96.09 cents @ Q)&lt;br /&gt;
s = 0.00 to 50.00 cents (3.91 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+2s (200.00 cents, for any L/s)&lt;br /&gt;
4/3 = 5L+5s (500.00 cents, for any L/s)&lt;br /&gt;
MOS generator = s (0.00 to 50.00 cents)&lt;br /&gt;
MOS period = 1/12 octave (100.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 36, 48, 60, 72, 84&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLsLsLsLsLsLsLsLsLsLsLs &lt;/tt&gt; (OTC form 1, MOS)&lt;br /&gt;
&lt;tt&gt; |    ||  ||    ||  ||  | &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLsLLssLLssLsLLssLLssLL &lt;/tt&gt; (form 2, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o&lt;br /&gt;
&lt;tt&gt;    ||        ||          &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLsLssLLssLLsLssLLssLL &lt;/tt&gt; (form 3, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o&lt;br /&gt;
&lt;tt&gt; |  ||||  ||  ||||  ||  | &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsLsLsLsLsLsLsLsLsLsLsLs &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


all modes, form 1:


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLs LsLsLsLsLs LsLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> LsLs LsLsLsLsLs LsLsLsLsLs </tt>
&lt;/td&gt;
| | <tt> LsLsLsLsLs LsLs LsLsLsLsLs </tt>
        &lt;td&gt;&lt;tt&gt; LsLsLsLsLs LsLs LsLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> LsLsLsLsLs LsLsLsLsLs LsLs </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLsLsLsLs LsLsLsLsLs LsLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLsL sLsLsLsLsL sLsLsLsLsL </tt>
&lt;/td&gt;
| | <tt> sLsLsLsLsL sLsL sLsLsLsLsL </tt>
    &lt;/tr&gt;
| | <tt> sLsLsLsLsL sLsLsLsLsL sLsL </tt>
    &lt;tr&gt;
|}
        &lt;td&gt;&lt;tt&gt; sLsL sLsLsLsLsL sLsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLsLsL sLsL sLsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLsLsL sLsLsLsLsL sLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
all modes, form 2:
all modes, form 2:&lt;br /&gt;


{| class="wikitable"
|-
| |
| |
| | <tt> ssLsLLssLL ssLsLLssLL ssLL </tt>
|-
| |
| |
| | <tt> sLsLLssLLs sLsLLssLLs sLLs </tt>
|-
| |
| |
| | <tt> LsLLssLLss LsLLssLLss LLss </tt>
|-
| |
| | <tt> sLLssLLssL sLLs sLLssLLssL </tt>
| | <tt> sLLssLLssL sLLssLLssL LssL </tt>
|-
| |
| | <tt> LLssLLssLs LLss LLssLLssLs </tt>
| |
|-
| |
| | <tt> LssLLssLsL LssL LssLLssLsL </tt>
| |
|-
| |
| | <tt> ssLLssLsLL ssLL ssLLssLsLL </tt>
| |
|-
| |
| | <tt> sLLssLsLLs sLLs sLLssLsLLs </tt>
| |
|-
| |
| | <tt> LLssLsLLss LLss LLssLsLLss </tt>
| |
|-
| |
| | <tt> LssLsLLssL LssL LssLsLLssL </tt>
| |
|-
| |
| | <tt> ssLsLLssLL ssLL ssLsLLssLL </tt>
| |
|-
| |
| | <tt> sLsLLssLLs sLLs sLsLLssLLs </tt>
| |
|-
| |
| | <tt> LsLLssLLss LLss LsLLssLLss </tt>
| |
|-
| | <tt> sLLs sLLssLLssL sLLssLLssL </tt>
| | <tt> sLLssLLssL LssL sLLssLLssL </tt>
| |
|-
| | <tt> LLss LLssLLssLs LLssLLssLs </tt>
| |
| |
|-
| | <tt> LssL LssLLssLsL LssLLssLsL </tt>
| |
| |
|-
| | <tt> ssLL ssLLssLsLL ssLLssLsLL </tt>
| |
| |
|-
| | <tt> sLLs sLLssLsLLs sLLssLsLLs </tt>
| |
| | <tt> sLLssLLssL sLLssLLssL sLLs </tt>
|-
| | <tt> LLss LLssLsLLss LLssLsLLss </tt>
| |
| | <tt> LLssLLssLs LLssLLssLs LLss </tt>
|-
| | <tt> LssL LssLsLLssL LssLsLLssL </tt>
| |
| | <tt> LssLLssLsL LssLLssLsL LssL </tt>
|-
| | <tt> ssLL ssLsLLssLL ssLsLLssLL </tt>
| |
| | <tt> ssLLssLsLL ssLLssLsLL ssLL </tt>
|-
| | <tt> sLLs sLsLLssLLs sLsLLssLLs </tt>
| |
| | <tt> sLLssLsLLs sLLssLsLLs sLLs </tt>
|-
| | <tt> LLss LsLLssLLss LsLLssLLss </tt>
| |
| | <tt> LLssLsLLss LLssLsLLss LLss </tt>
|-
| | <tt> LssL sLLssLLssL sLLssLLssL </tt>
| |
| | <tt> LssLsLLssL LssLsLLssL LssL </tt>
|}


&lt;table class="wiki_table"&gt;
all modes, form 3:
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsLLssLL ssLsLLssLL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLLssLLs sLsLLssLLs sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLssLLss LsLLssLLss LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLssL sLLs sLLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLssL sLLssLLssL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssLs LLss LLssLLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLsL LssL LssLLssLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLssLsLL ssLL ssLLssLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLsLLs sLLs sLLssLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLsLLss LLss LLssLsLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsLLssL LssL LssLsLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsLLssLL ssLL ssLsLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLLssLLs sLLs sLsLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLssLLss LLss LsLLssLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs sLLssLLssL sLLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLssL LssL sLLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LLssLLssLs LLssLLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LssLLssLsL LssLLssLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL ssLLssLsLL ssLLssLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs sLLssLsLLs sLLssLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLssL sLLssLLssL sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LLssLsLLss LLssLsLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssLs LLssLLssLs LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LssLsLLssL LssLsLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLsL LssLLssLsL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL ssLsLLssLL ssLsLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLssLsLL ssLLssLsLL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs sLsLLssLLs sLsLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLsLLs sLLssLsLLs sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LsLLssLLss LsLLssLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLsLLss LLssLsLLss LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL sLLssLLssL sLLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsLLssL LssLsLLssL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
{| class="wikitable"
all modes, form 3:&lt;br /&gt;
|-
| | <tt> ssLL sLssLLssLL sLssLLssLL </tt>
| |
| | <tt> ssLLsLssLL ssLLsLssLL ssLL </tt>
|-
| | <tt> sLLs LssLLssLLs LssLLssLLs </tt>
| |
| | <tt> sLLsLssLLs sLLsLssLLs sLLs </tt>
|-
| |
| |
| | <tt> LLsLssLLss LLsLssLLss LLss </tt>
|-
| |
| |
| | <tt> LsLssLLssL LsLssLLssL LssL </tt>
|-
| |
| |
| | <tt> sLssLLssLL sLssLLssLL ssLL </tt>
|-
| |
| | <tt> LssLLssLLs LssL LssLLssLLs </tt>
| | <tt> LssLLssLLs LssLLssLLs sLLs </tt>
|-
| |
| | <tt> ssLLssLLsL ssLL ssLLssLLsL </tt>
| |
|-
| |
| | <tt> sLLssLLsLs sLLs sLLssLLsLs </tt>
| |
|-
| |
| | <tt> LLssLLsLss LLss LLssLLsLss </tt>
| |
|-
| |
| | <tt> LssLLsLssL LssL LssLLsLssL </tt>
| |
|-
| |
| | <tt> ssLLsLssLL ssLL ssLLsLssLL </tt>
| |
|-
| |
| | <tt> sLLsLssLLs sLLs sLLsLssLLs </tt>
| |
|-
| |
| | <tt> LLsLssLLss LLss LLsLssLLss </tt>
| |
|-
| |
| | <tt> LsLssLLssL LssL LsLssLLssL </tt>
| |
|-
| |
| | <tt> sLssLLssLL ssLL sLssLLssLL </tt>
| |
|-
| | <tt> LssL LssLLssLLs LssLLssLLs </tt>
| | <tt> LssLLssLLs sLLs LssLLssLLs </tt>
| |
|-
| | <tt> ssLL ssLLssLLsL ssLLssLLsL </tt>
| |
| |
|-
| | <tt> sLLs sLLssLLsLs sLLssLLsLs </tt>
| |
| |
|-
| | <tt> LLss LLssLLsLss LLssLLsLss </tt>
| |
| |
|-
| | <tt> LssL LssLLsLssL LssLLsLssL </tt>
| |
| | <tt> LssLLssLLs LssLLssLLs LssL </tt>
|-
| | <tt> ssLL ssLLsLssLL ssLLsLssLL </tt>
| |
| | <tt> ssLLssLLsL ssLLssLLsL ssLL </tt>
|-
| | <tt> sLLs sLLsLssLLs sLLsLssLLs </tt>
| |
| | <tt> sLLssLLsLs sLLssLLsLs sLLs </tt>
|-
| | <tt> LLss LLsLssLLss LLsLssLLss </tt>
| |
| | <tt> LLssLLsLss LLssLLsLss LLss </tt>
|-
| | <tt> LssL LsLssLLssL LsLssLLssL </tt>
| |
| | <tt> LssLLsLssL LssLLsLssL LssL </tt>
|}


[[File:24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png|alt=24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png|24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png]]


&lt;table class="wiki_table"&gt;
[[File:24_12_12_LLssLLssLs_LLss_LLssLLssLs.png|alt=24_12_12_LLssLLssLs_LLss_LLssLLssLs.png|24_12_12_LLssLLssLs_LLss_LLssLLssLs.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL sLssLLssLL sLssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLsLssLL ssLLsLssLL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs LssLLssLLs LssLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLssLLs sLLsLssLLs sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLssLLss LLsLssLLss LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLssLLssL LsLssLLssL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLLssLL sLssLLssLL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLLs LssL LssLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLLs LssLLssLLs sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLssLLsL ssLL ssLLssLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLsLs sLLs sLLssLLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLsLss LLss LLssLLsLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLsLssL LssL LssLLsLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLsLssLL ssLL ssLLsLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLssLLs sLLs sLLsLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLssLLss LLss LLsLssLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLssLLssL LssL LsLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLLssLL ssLL sLssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LssLLssLLs LssLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLLs sLLs LssLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL ssLLssLLsL ssLLssLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs sLLssLLsLs sLLssLLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LLssLLsLss LLssLLsLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LssLLsLssL LssLLsLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLLs LssLLssLLs LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL ssLLsLssLL ssLLsLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLssLLsL ssLLssLLsL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs sLLsLssLLs sLLsLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLsLs sLLssLLsLs sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LLsLssLLss LLsLssLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLsLss LLssLLsLss LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LsLssLLssL LsLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLsLssL LssLLsLssL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:426:&amp;lt;img src=&amp;quot;/file/view/24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png/590988886/24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png/590988886/24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png" alt="24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png" title="24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:426 --&gt;&lt;br /&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&lt;br /&gt;
[[Category:24-tone scales]]
&lt;!-- ws:start:WikiTextLocalImageRule:427:&amp;lt;img src=&amp;quot;/file/view/24_12_12_LLssLLssLs_LLss_LLssLLssLs.png/590988880/24_12_12_LLssLLssLs_LLss_LLssLLssLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/24_12_12_LLssLLssLs_LLss_LLssLLssLs.png/590988880/24_12_12_LLssLLssLs_LLss_LLssLLssLs.png" alt="24_12_12_LLssLLssLs_LLss_LLssLLssLs.png" title="24_12_12_LLssLLssLs_LLss_LLssLLssLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:427 --&gt;&lt;br /&gt;
[[Category:Tempered scales]]
&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;See also&lt;/h3&gt;
[[Category:MODMOS]]
&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>
[[Category:Omnitetrachordal]]
[[Category:Catler]]
[[Category:Compton]]