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;
&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;
&lt;br /&gt;
&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;
&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>

Revision as of 00:00, 17 July 2018

Omnitetrachordal MOS and MODMOS scale

12L+12s

24 tones (10+4+10)

catler, compton; 3 forms

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 (blackwood) and OTC 7L+7s (whitewood), which have similar properties.

For all 3 forms:

  • the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio

Forms 2 and 3 are duals.

P = undefined (-1?)

Q = 24.5754362493 (4/3 = 5L+4.5s)

L = 50.00 to 100.00 cents (96.09 cents @ Q)

s = 0.00 to 50.00 cents (3.91 cents @ Q)

9/8 = 2L+2s (200.00 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 period = 1/12 octave (100.00 cents)

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

LsLsLsLsLsLsLsLsLsLsLsLs (OTC form 1, MOS)

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ssLsLLssLLssLsLLssLLssLL (form 2, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o

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ssLLsLssLLssLLsLssLLssLL (form 3, MODMOS) - gc 3,3,3,2,3,3,2; 5o ;; pc 12,2,2; 8o

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LsLsLsLsLsLsLsLsLsLsLsLs (form 1)

all modes, form 1:

LsLs LsLsLsLsLs LsLsLsLsLs LsLsLsLsLs LsLs LsLsLsLsLs LsLsLsLsLs LsLsLsLsLs LsLs
sLsL sLsLsLsLsL sLsLsLsLsL sLsLsLsLsL sLsL sLsLsLsLsL sLsLsLsLsL sLsLsLsLsL sLsL

all modes, form 2:

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:

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

24_12_12_LsLsLsLsLs_LsLs_LsLsLsLsLs.png

24_12_12_LLssLLssLs_LLss_LLssLLssLs.png

See also