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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal 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>2016-09-01 20:54:09 UTC</tt>.<br>
[[12L_10s|12L+10s]]
: The original revision id was <tt>590811700</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 MODMOS scale
[[12L 10s|12L+10s]]
22 tones (9+4+9)
22 tones (9+4+9)


[[Pajara]] / [[Diaschismic family|srutal (diaschismic)]]; 3 forms
[[pajara|Pajara]] / [[Diaschismic_family|srutal (diaschismic)]]; 3 forms
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 7.6918120831


[[Gallery of omnitetrachordal scales#perfect|P]] = 7.6918120831
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 33.2672483324 (4/3 = 5L+3.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 33.2672483324 (4/3 = 5L+3.5s)


9/8 = 2L+2s (200.00 to 218.18 cents)
9/8 = 2L+2s (200.00 to 218.18 cents)
4/3 = 5L+4s (490.91 to 500.00 cents)
4/3 = 5L+4s (490.91 to 500.00 cents)
MOS generator = L+s (100.00 to 109.09 cents)
MOS generator = L+s (100.00 to 109.09 cents)
MOS period = 1/2 octave (600.00 cents)
MOS period = 1/2 octave (600.00 cents)


notable EDOs: 34, 46, 56, 58, 70
notable EDOs: 34, 46, 56, 58, 70


{{ sLsLsLsLsLLsLsLsLsLsLL }} (MOS, not OTC)
<tt> sLsLsLsLsLLsLsLsLsLsLL </tt> (MOS, not OTC)
{{           ||           }}
 
{{ sLsLsLsLsLsLLsLsLsLsLL }} (OTC MODMOS, form 1) - gc 11,11; pc 2 x10; 2o
<tt>           ||           </tt>
 
<tt> sLsLsLsLsLsLLsLsLsLsLL </tt> (OTC MODMOS, form 1) - gc 11,11; pc 2 x10; 2o
 
<tt> sLsLsLsLsLLsLsLsLsLsLL </tt> (MOS, not OTC)
 
<tt>  ||  ||   ||  ||       </tt>
 
<tt> ssLLssLLsLsLLssLLsLsLL </tt> (OTC MODMOS, form 2) - gc 9,7; 6o; pc 2 x7; 8o
 
<tt> sLsLsLsLsLLsLsLsLsLsLL </tt> (MOS, not OTC)
 
<tt>  ||  || ||||  || ||    </tt>
 
<tt> ssLLssLLLssLLssLLLssLL </tt> (OTC MODMOS, form 3) - gc 7,5; 10o; pc 2 x5; 12o
 
<tt> sLsLsLsLsLsLLsLsLsLsLL </tt> (form 1)
 
<tt>  ||  ||       ||       </tt>


{{ sLsLsLsLsLLsLsLsLsLsLL }} (MOS, not OTC)
<tt> ssLLssLLsLsLLssLLsLsLL </tt> (form 2)
{{  ||  ||   ||  ||       }}
{{ ssLLssLLsLsLLssLLsLsLL }} (OTC MODMOS, form 2) - gc 9,7; 6o; pc 2 x7; 8o


{{ sLsLsLsLsLLsLsLsLsLsLL }} (MOS, not OTC)
<tt>         ||       ||    </tt>
{{  ||  || ||||  || ||    }}
{{ ssLLssLLLssLLssLLLssLL }} (OTC MODMOS, form 3) - gc 7,5; 10o; pc 2 x5; 12o


{{ sLsLsLsLsLsLLsLsLsLsLL }} (form 1)
<tt> ssLLssLLLssLLssLLLssLL </tt> (form 3)
{{  ||  ||       ||       }}
{{ ssLLssLLsLsLLssLLsLsLL }} (form 2)
{{         ||       ||    }}
{{ ssLLssLLLssLLssLLLssLL }} (form 3)
{{  ||  || ||    || ||    }}
{{ sLsLsLsLsLsLLsLsLsLsLL }} (form 1)


symmetric modes:
<tt>  ||  || ||    || ||    </tt>
{{ LssLLsLsLLssLLsLsLLssL }} (form 2)
{{ sLLsLsLLssLLssLLsLsLLs }} (form 2)
{{ sLLssLLLssLLssLLLssLLs }} (form 3)
{{ LssLLLssLLssLLssLLLssL }} (form 3)


all modes, form 1:
<tt> sLsLsLsLsLsLLsLsLsLsLL </tt> (form 1)
|| {{ sLsL sLsLsLsLL sLsLsLsLL }} || || ||
|| {{ LsLs LsLsLsLLs LsLsLsLLs }} || || ||
|| {{ sLsL sLsLsLLsL sLsLsLLsL }} || || ||
|| {{ LsLs LsLsLLsLs LsLsLLsLs }} || || {{ LsLsLsLsL LsLsLsLsL LsLs }} ||
|| {{ sLsL sLsLLsLsL sLsLLsLsL }} || || {{ sLsLsLsLL sLsLsLsLL sLsL }} ||
|| {{ LsLs LsLLsLsLs LsLLsLsLs }} || || {{ LsLsLsLLs LsLsLsLLs LsLs }} ||
|| {{ sLsL sLLsLsLsL sLLsLsLsL }} || || {{ sLsLsLLsL sLsLsLLsL sLsL }} ||
|| {{ LsLs LLsLsLsLs LLsLsLsLs }} || || {{ LsLsLLsLs LsLsLLsLs LsLs }} ||
|| {{ sLsL LsLsLsLsL LsLsLsLsL }} || || {{ sLsLLsLsL sLsLLsLsL sLsL }} ||
|| || || {{ LsLLsLsLs LsLLsLsLs LsLs }} ||
|| || || {{ sLLsLsLsL sLLsLsLsL sLsL }} ||
|| || || {{ LLsLsLsLs LLsLsLsLs LsLs }} ||
|| || {{ LsLsLsLsL LsLs LsLsLsLsL }} || {{ LsLsLsLsL LsLsLsLsL sLsL }} ||
|| || {{ sLsLsLsLL sLsL sLsLsLsLL }} || ||
|| || {{ LsLsLsLLs LsLs LsLsLsLLs }} || ||
|| || {{ sLsLsLLsL sLsL sLsLsLLsL }} || ||
|| || {{ LsLsLLsLs LsLs LsLsLLsLs }} || ||
|| || {{ sLsLLsLsL sLsL sLsLLsLsL }} || ||
|| || {{ LsLLsLsLs LsLs LsLLsLsLs }} || ||
|| || {{ sLLsLsLsL sLsL sLLsLsLsL }} || ||
|| || {{ LLsLsLsLs LsLs LLsLsLsLs }} || ||
|| {{ LsLs LsLsLsLsL LsLsLsLsL }} || {{ LsLsLsLsL sLsL LsLsLsLsL }} || ||


all modes, form 2:
symmetric modes:
|| {{ ssLL ssLLsLsLL ssLLsLsLL }} || || ||
|| {{ sLLs sLLsLsLLs sLLsLsLLs }} || || {{ sLLssLLsL sLLssLLsL sLLs }} ||
|| {{ LLss LLsLsLLss LLsLsLLss }} || || {{ LLssLLsLs LLssLLsLs LLss }} ||
|| {{ LssL LsLsLLssL LsLsLLssL }} || || {{ LssLLsLsL LssLLsLsL LssL }} ||
|| {{ ssLL sLsLLssLL sLsLLssLL }} || || {{ ssLLsLsLL ssLLsLsLL ssLL }} ||
|| {{ sLLs LsLLssLLs LsLLssLLs }} || || {{ sLLsLsLLs sLLsLsLLs sLLs }} ||
|| || || {{ LLsLsLLss LLsLsLLss LLss }} ||
|| || || {{ LsLsLLssL LsLsLLssL LssL }} ||
|| || || {{ sLsLLssLL sLsLLssLL ssLL }} ||
|| || || {{ LsLLssLLs LsLLssLLs sLLs }} ||
|| || {{ sLLssLLsL sLLs sLLssLLsL }} || ||
|| || {{ LLssLLsLs LLss LLssLLsLs }} || ||
|| || {{ LssLLsLsL LssL LssLLsLsL }} || ||
|| || {{ ssLLsLsLL ssLL ssLLsLsLL }} || ||
|| || {{ sLLsLsLLs sLLs sLLsLsLLs }} || ||
|| || {{ LLsLsLLss LLss LLsLsLLss }} || ||
|| || {{ LsLsLLssL LssL LsLsLLssL }} || ||
|| || {{ sLsLLssLL ssLL sLsLLssLL }} || ||
|| || {{ LsLLssLLs sLLs LsLLssLLs }} || ||
|| {{ sLLs sLLssLLsL sLLssLLsL }} || || ||
|| {{ LLss LLssLLsLs LLssLLsLs }} || || ||
|| {{ LssL LssLLsLsL LssLLsLsL }} || || ||


all modes, form 3:
<tt> LssLLsLsLLssLLsLsLLssL </tt> (form 2)
|| {{ ssLL ssLLLssLL ssLLLssLL }} || || {{ ssLLssLLL ssLLssLLL ssLL }} ||
|| {{ sLLs sLLLssLLs sLLLssLLs }} || || {{ sLLssLLLs sLLssLLLs sLLs }} ||
|| {{ LLss LLLssLLss LLLssLLss }} || || {{ LLssLLLss LLssLLLss LLss }} ||
|| {{ LssL LLssLLssL LLssLLssL }} || || {{ LssLLLssL LssLLLssL LssL }} ||
|| {{ ssLL LssLLssLL LssLLssLL }} || || {{ ssLLLssLL ssLLLssLL ssLL }} ||
|| || || {{ sLLLssLLs sLLLssLLs sLLs }} ||
|| || || {{ LLLssLLss LLLssLLss LLss }} ||
|| || {{ LLssLLssL LLss LLssLLssL }} || {{ LLssLLssL LLssLLssL LssL }} ||
|| || {{ LssLLssLL LssL LssLLssLL }} || {{ LssLLssLL LssLLssLL ssLL }} ||
|| || {{ ssLLssLLL ssLL ssLLssLLL }} || ||
|| || {{ sLLssLLLs sLLs sLLssLLLs }} || ||
|| || {{ LLssLLLss LLss LLssLLLss }} || ||
|| || {{ LssLLLssL LssL LssLLLssL }} || ||
|| || {{ ssLLLssLL ssLL ssLLLssLL }} || ||
|| || {{ sLLLssLLs sLLs sLLLssLLs }} || ||
|| || {{ LLLssLLss LLss LLLssLLss }} || ||
|| {{ LLss LLssLLssL LLssLLssL }} || {{ LLssLLssL LssL LLssLLssL }} || ||
|| {{ LssL LssLLssLL LssLLssLL }} || {{ LssLLssLL ssLL LssLLssLL }} || ||
|| {{ ssLL ssLLssLLL ssLLssLLL }} || || ||
|| {{ sLLs sLLssLLLs sLLssLLLs }} || || ||
|| {{ LLss LLssLLLss LLssLLLss }} || || {{ LLssLLssL LLssLLssL LLss }} ||
|| {{ LssL LssLLLssL LssLLLssL }} || || {{ LssLLssLL LssLLssLL LssL }} ||


[[image:22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png]]
<tt> sLLsLsLLssLLssLLsLsLLs </tt> (form 2)


===See also===
<tt> sLLssLLLssLLssLLLssLLs </tt> (form 3)
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]


===References===
<tt> LssLLLssLLssLLssLLLssL </tt> (form 3)
* 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]].
</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 10s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/12L%2010s"&gt;12L+10s&lt;/a&gt;&lt;br /&gt;
22 tones (9+4+9)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Pajara"&gt;Pajara&lt;/a&gt; / &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;srutal (diaschismic)&lt;/a&gt;; 3 forms&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 7.6918120831&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 33.2672483324 (4/3 = 5L+3.5s)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+2s (200.00 to 218.18 cents)&lt;br /&gt;
4/3 = 5L+4s (490.91 to 500.00 cents)&lt;br /&gt;
MOS generator = L+s (100.00 to 109.09 cents)&lt;br /&gt;
MOS period = 1/2 octave (600.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 34, 46, 56, 58, 70&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLLsLsLsLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;           ||           &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLsLLsLsLsLsLL &lt;/tt&gt; (OTC MODMOS, form 1) - gc 11,11; pc 2 x10; 2o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLLsLsLsLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||  ||   ||  ||       &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLssLLsLsLLssLLsLsLL &lt;/tt&gt; (OTC MODMOS, form 2) - gc 9,7; 6o; pc 2 x7; 8o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLLsLsLsLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||  || ||||  || ||    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLssLLLssLLssLLLssLL &lt;/tt&gt; (OTC MODMOS, form 3) - gc 7,5; 10o; pc 2 x5; 12o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLsLLsLsLsLsLL &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;tt&gt;  ||  ||       ||       &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLssLLsLsLLssLLsLsLL &lt;/tt&gt; (form 2)&lt;br /&gt;
&lt;tt&gt;         ||       ||    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLssLLLssLLssLLLssLL &lt;/tt&gt; (form 3)&lt;br /&gt;
&lt;tt&gt;  ||  || ||    || ||    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLsLLsLsLsLsLL &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;br /&gt;
symmetric modes:&lt;br /&gt;
&lt;tt&gt; LssLLsLsLLssLLsLsLLssL &lt;/tt&gt; (form 2)&lt;br /&gt;
&lt;tt&gt; sLLsLsLLssLLssLLsLsLLs &lt;/tt&gt; (form 2)&lt;br /&gt;
&lt;tt&gt; sLLssLLLssLLssLLLssLLs &lt;/tt&gt; (form 3)&lt;br /&gt;
&lt;tt&gt; LssLLLssLLssLLssLLLssL &lt;/tt&gt; (form 3)&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; sLsL sLsLsLsLL sLsLsLsLL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLsL sLsLsLsLL sLsLsLsLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLs LsLsLsLLs LsLsLsLLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLs LsLsLsLLs LsLsLsLLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLsL sLsLsLLsL sLsLsLLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLs LsLsLLsLs LsLsLLsLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLsLsLsL LsLsLsLsL LsLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsL sLsLsLLsL sLsLsLLsL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLsL sLsLLsLsL sLsLLsLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsLsLsLL sLsLsLsLL sLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLs LsLLsLsLs LsLLsLsLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLsLsLLs LsLsLsLLs LsLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLs LsLsLLsLs LsLsLLsLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLsL sLLsLsLsL sLLsLsLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsLsLLsL sLsLsLLsL sLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLsLsLsL LsLsLsLsL LsLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> LsLs LLsLsLsLs LLsLsLsLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLsLLsLs LsLsLLsLs LsLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsL sLsLLsLsL sLsLLsLsL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLsL LsLsLsLsL LsLsLsLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsLLsLsL sLsLLsLsL sLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsLsLsLL sLsLsLsLL sLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLLsLsLs LsLLsLsLs LsLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLs LsLLsLsLs LsLLsLsLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLLsLsLsL sLLsLsLsL sLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLsLsLLs LsLsLsLLs LsLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LLsLsLsLs LLsLsLsLs LsLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsL sLLsLsLsL sLLsLsLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLsLsLsL LsLs LsLsLsLsL </tt>
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLsLsLsL LsLsLsLsL sLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsLsLLsL sLsLsLLsL sLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLsLsLL sLsL sLsLsLsLL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLs LLsLsLsLs LLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLsLsLLs LsLs LsLsLsLLs </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLsLLsLs LsLsLLsLs LsLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLsLLsL sLsL sLsLsLLsL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsL LsLsLsLsL LsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLsLLsLs LsLs LsLsLLsLs </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsLLsLsL sLsLLsLsL sLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLLsLsL sLsL sLsLLsLsL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLLsLsLs LsLs LsLLsLsLs </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLLsLsLs LsLLsLsLs LsLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLsLsLsL sLsL sLLsLsLsL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLsLsLsLs LsLs LLsLsLsLs </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLLsLsLsL sLLsLsLsL sLsL &lt;/tt&gt;&lt;br /&gt;
| | <tt> LsLs LsLsLsLsL LsLsLsLsL </tt>
&lt;/td&gt;
| | <tt> LsLsLsLsL sLsL LsLsLsLsL </tt>
    &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; LLsLsLsLs LLsLsLsLs LsLs &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; LsLsLsLsL LsLs LsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsLsL LsLsLsLsL sLsL &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; sLsLsLsLL sLsL sLsLsLsLL &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; LsLsLsLLs LsLs LsLsLsLLs &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; sLsLsLLsL sLsL sLsLsLLsL &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; LsLsLLsLs LsLs LsLsLLsLs &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; sLsLLsLsL sLsL sLsLLsLsL &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; LsLLsLsLs LsLs LsLLsLsLs &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; sLLsLsLsL sLsL sLLsLsLsL &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; LLsLsLsLs LsLs LLsLsLsLs &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; LsLs LsLsLsLsL LsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsLsL sLsL LsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&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> ssLL ssLLsLsLL ssLLsLsLL </tt>
| |
| |
|-
| | <tt> sLLs sLLsLsLLs sLLsLsLLs </tt>
| |
| | <tt> sLLssLLsL sLLssLLsL sLLs </tt>
|-
| | <tt> LLss LLsLsLLss LLsLsLLss </tt>
| |
| | <tt> LLssLLsLs LLssLLsLs LLss </tt>
|-
| | <tt> LssL LsLsLLssL LsLsLLssL </tt>
| |
| | <tt> LssLLsLsL LssLLsLsL LssL </tt>
|-
| | <tt> ssLL sLsLLssLL sLsLLssLL </tt>
| |
| | <tt> ssLLsLsLL ssLLsLsLL ssLL </tt>
|-
| | <tt> sLLs LsLLssLLs LsLLssLLs </tt>
| |
| | <tt> sLLsLsLLs sLLsLsLLs sLLs </tt>
|-
| |
| |
| | <tt> LLsLsLLss LLsLsLLss LLss </tt>
|-
| |
| |
| | <tt> LsLsLLssL LsLsLLssL LssL </tt>
|-
| |
| |
| | <tt> sLsLLssLL sLsLLssLL ssLL </tt>
|-
| |
| |
| | <tt> LsLLssLLs LsLLssLLs sLLs </tt>
|-
| |
| | <tt> sLLssLLsL sLLs sLLssLLsL </tt>
| |
|-
| |
| | <tt> LLssLLsLs LLss LLssLLsLs </tt>
| |
|-
| |
| | <tt> LssLLsLsL LssL LssLLsLsL </tt>
| |
|-
| |
| | <tt> ssLLsLsLL ssLL ssLLsLsLL </tt>
| |
|-
| |
| | <tt> sLLsLsLLs sLLs sLLsLsLLs </tt>
| |
|-
| |
| | <tt> LLsLsLLss LLss LLsLsLLss </tt>
| |
|-
| |
| | <tt> LsLsLLssL LssL LsLsLLssL </tt>
| |
|-
| |
| | <tt> sLsLLssLL ssLL sLsLLssLL </tt>
| |
|-
| |
| | <tt> LsLLssLLs sLLs LsLLssLLs </tt>
| |
|-
| | <tt> sLLs sLLssLLsL sLLssLLsL </tt>
| |
| |
|-
| | <tt> LLss LLssLLsLs LLssLLsLs </tt>
| |
| |
|-
| | <tt> LssL LssLLsLsL LssLLsLsL </tt>
| |
| |
|}


&lt;table class="wiki_table"&gt;
all modes, form 3:
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL ssLLsLsLL ssLLsLsLL &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 sLLsLsLLs sLLsLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLsL sLLssLLsL sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LLsLsLLss LLsLsLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLsLs LLssLLsLs LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LsLsLLssL LsLsLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLsLsL LssLLsLsL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL sLsLLssLL sLsLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLsLsLL ssLLsLsLL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs LsLLssLLs LsLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLsLLs sLLsLsLLs 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; LLsLsLLss LLsLsLLss 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; LsLsLLssL LsLsLLssL 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; sLsLLssLL sLsLLssLL 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; LsLLssLLs LsLLssLLs 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; sLLssLLsL sLLs sLLssLLsL &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; LLssLLsLs LLss LLssLLsLs &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; LssLLsLsL LssL LssLLsLsL &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; ssLLsLsLL ssLL ssLLsLsLL &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; sLLsLsLLs sLLs sLLsLsLLs &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; LLsLsLLss LLss LLsLsLLss &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; LsLsLLssL LssL LsLsLLssL &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; sLsLLssLL ssLL sLsLLssLL &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; LsLLssLLs sLLs LsLLssLLs &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 sLLssLLsL sLLssLLsL &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 LLssLLsLs LLssLLsLs &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 LssLLsLsL LssLLsLsL &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;/table&gt;


&lt;br /&gt;
{| class="wikitable"
all modes, form 3:&lt;br /&gt;
|-
| | <tt> ssLL ssLLLssLL ssLLLssLL </tt>
| |
| | <tt> ssLLssLLL ssLLssLLL ssLL </tt>
|-
| | <tt> sLLs sLLLssLLs sLLLssLLs </tt>
| |
| | <tt> sLLssLLLs sLLssLLLs sLLs </tt>
|-
| | <tt> LLss LLLssLLss LLLssLLss </tt>
| |
| | <tt> LLssLLLss LLssLLLss LLss </tt>
|-
| | <tt> LssL LLssLLssL LLssLLssL </tt>
| |
| | <tt> LssLLLssL LssLLLssL LssL </tt>
|-
| | <tt> ssLL LssLLssLL LssLLssLL </tt>
| |
| | <tt> ssLLLssLL ssLLLssLL ssLL </tt>
|-
| |
| |
| | <tt> sLLLssLLs sLLLssLLs sLLs </tt>
|-
| |
| |
| | <tt> LLLssLLss LLLssLLss LLss </tt>
|-
| |
| | <tt> LLssLLssL LLss LLssLLssL </tt>
| | <tt> LLssLLssL LLssLLssL LssL </tt>
|-
| |
| | <tt> LssLLssLL LssL LssLLssLL </tt>
| | <tt> LssLLssLL LssLLssLL ssLL </tt>
|-
| |
| | <tt> ssLLssLLL ssLL ssLLssLLL </tt>
| |
|-
| |
| | <tt> sLLssLLLs sLLs sLLssLLLs </tt>
| |
|-
| |
| | <tt> LLssLLLss LLss LLssLLLss </tt>
| |
|-
| |
| | <tt> LssLLLssL LssL LssLLLssL </tt>
| |
|-
| |
| | <tt> ssLLLssLL ssLL ssLLLssLL </tt>
| |
|-
| |
| | <tt> sLLLssLLs sLLs sLLLssLLs </tt>
| |
|-
| |
| | <tt> LLLssLLss LLss LLLssLLss </tt>
| |
|-
| | <tt> LLss LLssLLssL LLssLLssL </tt>
| | <tt> LLssLLssL LssL LLssLLssL </tt>
| |
|-
| | <tt> LssL LssLLssLL LssLLssLL </tt>
| | <tt> LssLLssLL ssLL LssLLssLL </tt>
| |
|-
| | <tt> ssLL ssLLssLLL ssLLssLLL </tt>
| |
| |
|-
| | <tt> sLLs sLLssLLLs sLLssLLLs </tt>
| |
| |
|-
| | <tt> LLss LLssLLLss LLssLLLss </tt>
| |
| | <tt> LLssLLssL LLssLLssL LLss </tt>
|-
| | <tt> LssL LssLLLssL LssLLLssL </tt>
| |
| | <tt> LssLLssLL LssLLssLL LssL </tt>
|}


[[File:22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png|alt=22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png|22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png]]


&lt;table class="wiki_table"&gt;
===See also===
    &lt;tr&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
        &lt;td&gt;&lt;tt&gt; ssLL ssLLLssLL ssLLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLssLLL ssLLssLLL ssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLs sLLLssLLs sLLLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLLLs sLLssLLLs sLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLss LLLssLLss LLLssLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLLss LLssLLLss LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LLssLLssL LLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLLssL LssLLLssL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLL LssLLssLL LssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLLssLL ssLLLssLL 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; sLLLssLLs sLLLssLLs 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; LLLssLLss LLLssLLss 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; LLssLLssL LLss LLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssL LLssLLssL 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; LssLLssLL LssL LssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLL LssLLssLL 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; ssLLssLLL ssLL ssLLssLLL &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; sLLssLLLs sLLs sLLssLLLs &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; LLssLLLss LLss LLssLLLss &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; LssLLLssL LssL LssLLLssL &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; ssLLLssLL ssLL ssLLLssLL &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; sLLLssLLs sLLs sLLLssLLs &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; LLLssLLss LLss LLLssLLss &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 LLssLLssL LLssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssL LssL LLssLLssL &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 LssLLssLL LssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLL ssLL LssLLssLL &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 ssLLssLLL ssLLssLLL &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 sLLssLLLs sLLssLLLs &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 LLssLLLss LLssLLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssL LLssLLssL LLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LssL LssLLLssL LssLLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLssLL LssLLssLL LssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
===References===
&lt;!-- ws:start:WikiTextLocalImageRule:548:&amp;lt;img src=&amp;quot;/file/view/22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png/589273896/22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png/589273896/22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png" alt="22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png" title="22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:548 --&gt;&lt;br /&gt;
<ul><li>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].</li></ul>
&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;References&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow"&gt;3685&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow"&gt;10987&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 MODMOS scale

12L+10s

22 tones (9+4+9)

Pajara / srutal (diaschismic); 3 forms

P = 7.6918120831

Q = 33.2672483324 (4/3 = 5L+3.5s)

9/8 = 2L+2s (200.00 to 218.18 cents)

4/3 = 5L+4s (490.91 to 500.00 cents)

MOS generator = L+s (100.00 to 109.09 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 34, 46, 56, 58, 70

sLsLsLsLsLLsLsLsLsLsLL (MOS, not OTC)

          ||          

sLsLsLsLsLsLLsLsLsLsLL (OTC MODMOS, form 1) - gc 11,11; pc 2 x10; 2o

sLsLsLsLsLLsLsLsLsLsLL (MOS, not OTC)

 ||  ||   ||  ||      

ssLLssLLsLsLLssLLsLsLL (OTC MODMOS, form 2) - gc 9,7; 6o; pc 2 x7; 8o

sLsLsLsLsLLsLsLsLsLsLL (MOS, not OTC)

 ||  || ||||  || ||   

ssLLssLLLssLLssLLLssLL (OTC MODMOS, form 3) - gc 7,5; 10o; pc 2 x5; 12o

sLsLsLsLsLsLLsLsLsLsLL (form 1)

 ||  ||       ||      

ssLLssLLsLsLLssLLsLsLL (form 2)

        ||       ||   

ssLLssLLLssLLssLLLssLL (form 3)

 ||  || ||    || ||   

sLsLsLsLsLsLLsLsLsLsLL (form 1)

symmetric modes:

LssLLsLsLLssLLsLsLLssL (form 2)

sLLsLsLLssLLssLLsLsLLs (form 2)

sLLssLLLssLLssLLLssLLs (form 3)

LssLLLssLLssLLssLLLssL (form 3)

all modes, form 1:

sLsL sLsLsLsLL sLsLsLsLL
LsLs LsLsLsLLs LsLsLsLLs
sLsL sLsLsLLsL sLsLsLLsL
LsLs LsLsLLsLs LsLsLLsLs LsLsLsLsL LsLsLsLsL LsLs
sLsL sLsLLsLsL sLsLLsLsL sLsLsLsLL sLsLsLsLL sLsL
LsLs LsLLsLsLs LsLLsLsLs LsLsLsLLs LsLsLsLLs LsLs
sLsL sLLsLsLsL sLLsLsLsL sLsLsLLsL sLsLsLLsL sLsL
LsLs LLsLsLsLs LLsLsLsLs LsLsLLsLs LsLsLLsLs LsLs
sLsL LsLsLsLsL LsLsLsLsL sLsLLsLsL sLsLLsLsL sLsL
LsLLsLsLs LsLLsLsLs LsLs
sLLsLsLsL sLLsLsLsL sLsL
LLsLsLsLs LLsLsLsLs LsLs
LsLsLsLsL LsLs LsLsLsLsL LsLsLsLsL LsLsLsLsL sLsL
sLsLsLsLL sLsL sLsLsLsLL
LsLsLsLLs LsLs LsLsLsLLs
sLsLsLLsL sLsL sLsLsLLsL
LsLsLLsLs LsLs LsLsLLsLs
sLsLLsLsL sLsL sLsLLsLsL
LsLLsLsLs LsLs LsLLsLsLs
sLLsLsLsL sLsL sLLsLsLsL
LLsLsLsLs LsLs LLsLsLsLs
LsLs LsLsLsLsL LsLsLsLsL LsLsLsLsL sLsL LsLsLsLsL

all modes, form 2:

ssLL ssLLsLsLL ssLLsLsLL
sLLs sLLsLsLLs sLLsLsLLs sLLssLLsL sLLssLLsL sLLs
LLss LLsLsLLss LLsLsLLss LLssLLsLs LLssLLsLs LLss
LssL LsLsLLssL LsLsLLssL LssLLsLsL LssLLsLsL LssL
ssLL sLsLLssLL sLsLLssLL ssLLsLsLL ssLLsLsLL ssLL
sLLs LsLLssLLs LsLLssLLs sLLsLsLLs sLLsLsLLs sLLs
LLsLsLLss LLsLsLLss LLss
LsLsLLssL LsLsLLssL LssL
sLsLLssLL sLsLLssLL ssLL
LsLLssLLs LsLLssLLs sLLs
sLLssLLsL sLLs sLLssLLsL
LLssLLsLs LLss LLssLLsLs
LssLLsLsL LssL LssLLsLsL
ssLLsLsLL ssLL ssLLsLsLL
sLLsLsLLs sLLs sLLsLsLLs
LLsLsLLss LLss LLsLsLLss
LsLsLLssL LssL LsLsLLssL
sLsLLssLL ssLL sLsLLssLL
LsLLssLLs sLLs LsLLssLLs
sLLs sLLssLLsL sLLssLLsL
LLss LLssLLsLs LLssLLsLs
LssL LssLLsLsL LssLLsLsL

all modes, form 3:

ssLL ssLLLssLL ssLLLssLL ssLLssLLL ssLLssLLL ssLL
sLLs sLLLssLLs sLLLssLLs sLLssLLLs sLLssLLLs sLLs
LLss LLLssLLss LLLssLLss LLssLLLss LLssLLLss LLss
LssL LLssLLssL LLssLLssL LssLLLssL LssLLLssL LssL
ssLL LssLLssLL LssLLssLL ssLLLssLL ssLLLssLL ssLL
sLLLssLLs sLLLssLLs sLLs
LLLssLLss LLLssLLss LLss
LLssLLssL LLss LLssLLssL LLssLLssL LLssLLssL LssL
LssLLssLL LssL LssLLssLL LssLLssLL LssLLssLL ssLL
ssLLssLLL ssLL ssLLssLLL
sLLssLLLs sLLs sLLssLLLs
LLssLLLss LLss LLssLLLss
LssLLLssL LssL LssLLLssL
ssLLLssLL ssLL ssLLLssLL
sLLLssLLs sLLs sLLLssLLs
LLLssLLss LLss LLLssLLss
LLss LLssLLssL LLssLLssL LLssLLssL LssL LLssLLssL
LssL LssLLssLL LssLLssLL LssLLssLL ssLL LssLLssLL
ssLL ssLLssLLL ssLLssLLL
sLLs sLLssLLLs sLLssLLLs
LLss LLssLLLss LLssLLLss LLssLLssL LLssLLssL LLss
LssL LssLLLssL LssLLLssL LssLLssLL LssLLssLL LssL

22_12_10_LsLsLsLsL_sLsL_LsLsLsLsL.png

See also

References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.
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