OTC 14L 10s: Difference between revisions

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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>2016-09-02 21:57:19 UTC</tt>.<br>
[[14L_10s|14L+10s]]
: The original revision id was <tt>590989428</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
[[14L 10s|14L+10s]]
24 tones (10+4+10)
24 tones (10+4+10)


[[Dicot family#Decimal|Decimal/decimated]]; 2 forms; best at low L/s.  At P, it is essentially a tempered version of 24edo.
[[Dicot_family#Decimal|Decimal/decimated]]; 2 forms; best at low L/s.  At P, it is essentially a tempered version of 24edo.


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.04824036
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.04824036
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.4325106644 (4/3 = 6L+3.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 3.4325106644 (4/3 = 6L+3.5s)


L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)
L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)
s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)
s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)


9/8 = 2L+2s (171.43 to 200.00 cents)
9/8 = 2L+2s (171.43 to 200.00 cents)
4/3 = 6L+4s (500.00 to 514.29 cents)
4/3 = 6L+4s (500.00 to 514.29 cents)
MOS generator = 3L+2s (250.00 to 257.14 cents)
MOS generator = 3L+2s (250.00 to 257.14 cents)


notable EDOs: 38, 52, 62, 86
notable EDOs: 38, 52, 62, 86


{{ LLsLsLLsLsLsLLsLsLLsLsLs }} (MOS, not OTC)
<tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC)
{{   |  | ||  |   || |  ||  }}
 
{{ LLLLssLLssLLLLssLLssLLss }} (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o
<tt>   |  | ||  |   || |  ||  </tt>
 
<tt> LLLLssLLssLLLLssLLssLLss </tt> (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o
 
<tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC)
 
<tt>   ||||       || ||       </tt>


{{ LLsLsLLsLsLsLLsLsLLsLsLs }} (MOS, not OTC)
<tt> LLLsLsLsLsLsLsLLLsLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o
{{   ||||       || ||       }}
{{ LLLsLsLsLsLsLsLLLsLsLsLs }} (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o


{{ LLssLLssLLssLLLLssLLssLL }} (OTC MODMOS, form 1)
<tt> LLssLLssLLssLLLLssLLssLL </tt> (OTC MODMOS, form 1)
{{    ||  ||  ||    ||  ||  }}
{{ LLsLsLsLsLsLsLLLsLsLsLsL }} (OTC MODMOS, form 2)


symmetric modes:
<tt>    ||  ||  ||    ||  ||  </tt>
{{ sLLssLLLLssLLssLLLLssLLs }} (form 1)
{{ LssLLLLssLLssLLssLLLLssL }} (form 1)


all modes, form 1:
<tt> LLsLsLsLsLsLsLLLsLsLsLsL </tt> (OTC MODMOS, form 2)
|| {{ ssLL ssLLssLLLL ssLLssLLLL }} || || ||
|| {{ sLLs sLLssLLLLs sLLssLLLLs }} || || ||
|| {{ LLss LLssLLLLss LLssLLLLss }} || || {{ LLssLLssLL LLssLLssLL LLss }} ||
|| {{ LssL LssLLLLssL LssLLLLssL }} || || {{ LssLLssLLL LssLLssLLL LssL }} ||
|| {{ ssLL ssLLLLssLL ssLLLLssLL }} || || {{ ssLLssLLLL ssLLssLLLL ssLL }} ||
|| {{ sLLs sLLLLssLLs sLLLLssLLs }} || || {{ sLLssLLLLs sLLssLLLLs sLLs }} ||
|| {{ LLss LLLLssLLss LLLLssLLss }} || || {{ LLssLLLLss LLssLLLLss LLss }} ||
|| {{ LssL LLLssLLssL LLLssLLssL }} || || {{ LssLLLLssL LssLLLLssL LssL }} ||
|| {{ ssLL LLssLLssLL LLssLLssLL }} || || {{ ssLLLLssLL ssLLLLssLL ssLL }} ||
|| || || {{ sLLLLssLLs sLLLLssLLs sLLs }} ||
|| || || {{ LLLLssLLss LLLLssLLss LLss }} ||
|| || || {{ LLLssLLssL LLLssLLssL LssL }} ||
|| || {{ LLssLLssLL LLss LLssLLssLL }} || {{ LLssLLssLL LLssLLssLL ssLL }} ||
|| || {{ LssLLssLLL LssL LssLLssLLL }} || ||
|| || {{ ssLLssLLLL ssLL ssLLssLLLL }} || ||
|| || {{ sLLssLLLLs sLLs sLLssLLLLs }} || ||
|| || {{ LLssLLLLss LLss LLssLLLLss }} || ||
|| || {{ LssLLLLssL LssL LssLLLLssL }} || ||
|| || {{ ssLLLLssLL ssLL ssLLLLssLL }} || ||
|| || {{ sLLLLssLLs sLLs sLLLLssLLs }} || ||
|| || {{ LLLLssLLss LLss LLLLssLLss }} || ||
|| || {{ LLLssLLssL LssL LLLssLLssL }} || ||
|| {{ LLss LLssLLssLL LLssLLssLL }} || {{ LLssLLssLL ssLL LLssLLssLL }} || ||
|| {{ LssL LssLLssLLL LssLLssLLL }} || || ||


all modes, form 2:
symmetric modes:
|| {{ sLsL sLsLsLsLLL sLsLsLsLLL }} || || ||
|| {{ LsLs LsLsLsLLLs LsLsLsLLLs }} || || ||
|| {{ sLsL sLsLsLLLsL sLsLsLLLsL }} || || ||
|| {{ LsLs LsLsLLLsLs LsLsLLLsLs }} || || {{ LsLsLsLsLL LsLsLsLsLL LsLs }} ||
|| {{ sLsL sLsLLLsLsL sLsLLLsLsL }} || || {{ sLsLsLsLLL sLsLsLsLLL sLsL }} ||
|| {{ LsLs LsLLLsLsLs LsLLLsLsLs }} || || {{ LsLsLsLLLs LsLsLsLLLs LsLs }} ||
|| {{ sLsL sLLLsLsLsL sLLLsLsLsL }} || || {{ sLsLsLLLsL sLsLsLLLsL sLsL }} ||
|| {{ LsLs LLLsLsLsLs LLLsLsLsLs }} || || {{ LsLsLLLsLs LsLsLLLsLs LsLs }} ||
|| {{ sLsL LLsLsLsLsL LLsLsLsLsL }} || || {{ sLsLLLsLsL sLsLLLsLsL sLsL }} ||
|| || || {{ LsLLLsLsLs LsLLLsLsLs LsLs }} ||
|| || || {{ sLLLsLsLsL sLLLsLsLsL sLsL }} ||
|| || || {{ LLLsLsLsLs LLLsLsLsLs LsLs }} ||
|| || || {{ LLsLsLsLsL LLsLsLsLsL sLsL }} ||
|| || {{ LsLsLsLsLL LsLs LsLsLsLsLL }} || ||
|| || {{ sLsLsLsLLL sLsL sLsLsLsLLL }} || ||
|| || {{ LsLsLsLLLs LsLs LsLsLsLLLs }} || ||
|| || {{ sLsLsLLLsL sLsL sLsLsLLLsL }} || ||
|| || {{ LsLsLLLsLs LsLs LsLsLLLsLs }} || ||
|| || {{ sLsLLLsLsL sLsL sLsLLLsLsL }} || ||
|| || {{ LsLLLsLsLs LsLs LsLLLsLsLs }} || ||
|| || {{ sLLLsLsLsL sLsL sLLLsLsLsL }} || ||
|| || {{ LLLsLsLsLs LsLs LLLsLsLsLs }} || ||
|| || {{ LLsLsLsLsL sLsL LLsLsLsLsL }} || ||
|| {{ LsLs LsLsLsLsLL LsLsLsLsLL }} || || ||


[[image:24_14_10_LssLLLLssL_LssL_LssLLLLssL.png]]
<tt> sLLssLLLLssLLssLLLLssLLs </tt> (form 1)


===See also===
<tt> LssLLLLssLLssLLssLLLLssL </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 14L 10s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/14L%2010s"&gt;14L+10s&lt;/a&gt;&lt;br /&gt;
24 tones (10+4+10)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Dicot%20family#Decimal"&gt;Decimal/decimated&lt;/a&gt;; 2 forms; best at low L/s.  At P, it is essentially a tempered version of 24edo.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 1.04824036&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 3.4325106644 (4/3 = 6L+3.5s)&lt;br /&gt;
&lt;br /&gt;
L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)&lt;br /&gt;
s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+2s (171.43 to 200.00 cents)&lt;br /&gt;
4/3 = 6L+4s (500.00 to 514.29 cents)&lt;br /&gt;
MOS generator = 3L+2s (250.00 to 257.14 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 38, 52, 62, 86&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLsLsLLsLsLsLLsLsLLsLsLs &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;   |  | ||  |   || |  ||  &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLLssLLssLLLLssLLssLLss &lt;/tt&gt; (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLsLsLLsLsLsLLsLsLLsLsLs &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;   ||||       || ||       &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLsLsLsLsLsLsLLLsLsLsLs &lt;/tt&gt; (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLssLLssLLssLLLLssLLssLL &lt;/tt&gt; (OTC MODMOS, form 1)&lt;br /&gt;
&lt;tt&gt;    ||  ||  ||    ||  ||  &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLsLsLsLsLsLsLLLsLsLsLsL &lt;/tt&gt; (OTC MODMOS, form 2)&lt;br /&gt;
&lt;br /&gt;
symmetric modes:&lt;br /&gt;
&lt;tt&gt; sLLssLLLLssLLssLLLLssLLs &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;tt&gt; LssLLLLssLLssLLssLLLLssL &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; ssLL ssLLssLLLL ssLLssLLLL &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLL ssLLssLLLL ssLLssLLLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLLs sLLssLLLLs sLLssLLLLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLLs sLLssLLLLs sLLssLLLLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> LLss LLssLLLLss LLssLLLLss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLssLLssLL LLssLLssLL LLss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LssL LssLLLLssL LssLLLLssL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LssLLssLLL LssLLssLLL LssL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLss LLssLLLLss LLssLLLLss &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLL ssLLLLssLL ssLLLLssLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> ssLLssLLLL ssLLssLLLL ssLL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLssLLssLL LLssLLssLL LLss &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLLs sLLLLssLLs sLLLLssLLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> sLLssLLLLs sLLssLLLLs sLLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LssL LssLLLLssL LssLLLLssL &lt;/tt&gt;&lt;br /&gt;
| | <tt> LLss LLLLssLLss LLLLssLLss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLssLLLLss LLssLLLLss LLss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LssLLssLLL LssLLssLLL LssL &lt;/tt&gt;&lt;br /&gt;
| | <tt> LssL LLLssLLssL LLLssLLssL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LssLLLLssL LssLLLLssL LssL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLL ssLLLLssLL ssLLLLssLL &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLL LLssLLssLL LLssLLssLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> ssLLLLssLL ssLLLLssLL ssLL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLLssLLLL ssLLssLLLL ssLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> sLLLLssLLs sLLLLssLLs sLLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLLs sLLLLssLLs sLLLLssLLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLLLssLLss LLLLssLLss LLss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLLssLLLLs sLLssLLLLs sLLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LLLssLLssL LLLssLLssL LssL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLss LLLLssLLss LLLLssLLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLssLLssLL LLss LLssLLssLL </tt>
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLssLLssLL LLssLLssLL ssLL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLssLLLLss LLssLLLLss LLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LssLLssLLL LssL LssLLssLLL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LssL LLLssLLssL LLLssLLssL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssLLssLLLL ssLL ssLLssLLLL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LssLLLLssL LssLLLLssL LssL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLssLLLLs sLLs sLLssLLLLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLL LLssLLssLL LLssLLssLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLssLLLLss LLss LLssLLLLss </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLLLLssLL ssLLLLssLL ssLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LssLLLLssL LssL LssLLLLssL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssLLLLssLL ssLL ssLLLLssLL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLLLLssLLs sLLLLssLLs sLLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLLLssLLs sLLs sLLLLssLLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLLLssLLss LLss LLLLssLLss </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLLLssLLss LLLLssLLss LLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLLssLLssL LssL LLLssLLssL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLss LLssLLssLL LLssLLssLL </tt>
&lt;/td&gt;
| | <tt> LLssLLssLL ssLL LLssLLssLL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLLssLLssL LLLssLLssL LssL &lt;/tt&gt;&lt;br /&gt;
| | <tt> LssL LssLLssLLL LssLLssLLL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|}
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssLL LLss LLssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssLL LLssLLssLL 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; LssLLssLLL LssL LssLLssLLL &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; ssLLssLLLL ssLL ssLLssLLLL &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; sLLssLLLLs sLLs sLLssLLLLs &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; LLssLLLLss LLss LLssLLLLss &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; LssLLLLssL LssL LssLLLLssL &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; ssLLLLssLL ssLL ssLLLLssLL &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; sLLLLssLLs sLLs sLLLLssLLs &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; LLLLssLLss LLss LLLLssLLss &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; LLLssLLssL LssL LLLssLLssL &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 LLssLLssLL LLssLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLssLL ssLL LLssLLssLL &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 LssLLssLLL LssLLssLLL &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;
all modes, form 2:
all modes, form 2:&lt;br /&gt;


{| class="wikitable"
|-
| | <tt> sLsL sLsLsLsLLL sLsLsLsLLL </tt>
| |
| |
|-
| | <tt> LsLs LsLsLsLLLs LsLsLsLLLs </tt>
| |
| |
|-
| | <tt> sLsL sLsLsLLLsL sLsLsLLLsL </tt>
| |
| |
|-
| | <tt> LsLs LsLsLLLsLs LsLsLLLsLs </tt>
| |
| | <tt> LsLsLsLsLL LsLsLsLsLL LsLs </tt>
|-
| | <tt> sLsL sLsLLLsLsL sLsLLLsLsL </tt>
| |
| | <tt> sLsLsLsLLL sLsLsLsLLL sLsL </tt>
|-
| | <tt> LsLs LsLLLsLsLs LsLLLsLsLs </tt>
| |
| | <tt> LsLsLsLLLs LsLsLsLLLs LsLs </tt>
|-
| | <tt> sLsL sLLLsLsLsL sLLLsLsLsL </tt>
| |
| | <tt> sLsLsLLLsL sLsLsLLLsL sLsL </tt>
|-
| | <tt> LsLs LLLsLsLsLs LLLsLsLsLs </tt>
| |
| | <tt> LsLsLLLsLs LsLsLLLsLs LsLs </tt>
|-
| | <tt> sLsL LLsLsLsLsL LLsLsLsLsL </tt>
| |
| | <tt> sLsLLLsLsL sLsLLLsLsL sLsL </tt>
|-
| |
| |
| | <tt> LsLLLsLsLs LsLLLsLsLs LsLs </tt>
|-
| |
| |
| | <tt> sLLLsLsLsL sLLLsLsLsL sLsL </tt>
|-
| |
| |
| | <tt> LLLsLsLsLs LLLsLsLsLs LsLs </tt>
|-
| |
| |
| | <tt> LLsLsLsLsL LLsLsLsLsL sLsL </tt>
|-
| |
| | <tt> LsLsLsLsLL LsLs LsLsLsLsLL </tt>
| |
|-
| |
| | <tt> sLsLsLsLLL sLsL sLsLsLsLLL </tt>
| |
|-
| |
| | <tt> LsLsLsLLLs LsLs LsLsLsLLLs </tt>
| |
|-
| |
| | <tt> sLsLsLLLsL sLsL sLsLsLLLsL </tt>
| |
|-
| |
| | <tt> LsLsLLLsLs LsLs LsLsLLLsLs </tt>
| |
|-
| |
| | <tt> sLsLLLsLsL sLsL sLsLLLsLsL </tt>
| |
|-
| |
| | <tt> LsLLLsLsLs LsLs LsLLLsLsLs </tt>
| |
|-
| |
| | <tt> sLLLsLsLsL sLsL sLLLsLsLsL </tt>
| |
|-
| |
| | <tt> LLLsLsLsLs LsLs LLLsLsLsLs </tt>
| |
|-
| |
| | <tt> LLsLsLsLsL sLsL LLsLsLsLsL </tt>
| |
|-
| | <tt> LsLs LsLsLsLsLL LsLsLsLsLL </tt>
| |
| |
|}


&lt;table class="wiki_table"&gt;
[[File:24_14_10_LssLLLLssL_LssL_LssLLLLssL.png|alt=24_14_10_LssLLLLssL_LssL_LssLLLLssL.png|24_14_10_LssLLLLssL_LssL_LssLLLLssL.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLsL sLsLsLsLLL sLsLsLsLLL &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; LsLs LsLsLsLLLs LsLsLsLLLs &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; sLsL sLsLsLLLsL sLsLsLLLsL &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; LsLs LsLsLLLsLs LsLsLLLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsLsLL LsLsLsLsLL LsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLsL sLsLLLsLsL sLsLLLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLsLLL sLsLsLsLLL sLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLs LsLLLsLsLs LsLLLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsLLLs LsLsLsLLLs LsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLsL sLLLsLsLsL sLLLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLLLsL sLsLsLLLsL sLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLs LLLsLsLsLs LLLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLLLsLs LsLsLLLsLs LsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLsL LLsLsLsLsL LLsLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLLLsLsL sLsLLLsLsL 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsLsLs LsLLLsLsLs 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLsLsL sLLLsLsLsL 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsLsLsLs LLLsLsLsLs 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLsLsLsL LLsLsLsLsL 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; LsLsLsLsLL LsLs LsLsLsLsLL &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; sLsLsLsLLL sLsL sLsLsLsLLL &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; LsLsLsLLLs LsLs LsLsLsLLLs &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; sLsLsLLLsL sLsL sLsLsLLLsL &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; LsLsLLLsLs LsLs LsLsLLLsLs &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; sLsLLLsLsL sLsL sLsLLLsLsL &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; LsLLLsLsLs LsLs LsLLLsLsLs &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; sLLLsLsLsL sLsL sLLLsLsLsL &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; LLLsLsLsLs LsLs LLLsLsLsLs &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; LLsLsLsLsL sLsL LLsLsLsLsL &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 LsLsLsLsLL LsLsLsLsLL &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;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:396:&amp;lt;img src=&amp;quot;/file/view/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png/590988890/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png/590988890/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" alt="24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" title="24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:396 --&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: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 MODMOS scale

14L+10s

24 tones (10+4+10)

Decimal/decimated; 2 forms; best at low L/s. At P, it is essentially a tempered version of 24edo.

P = 1.04824036

Q = 3.4325106644 (4/3 = 6L+3.5s)

L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)

s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)

9/8 = 2L+2s (171.43 to 200.00 cents)

4/3 = 6L+4s (500.00 to 514.29 cents)

MOS generator = 3L+2s (250.00 to 257.14 cents)

notable EDOs: 38, 52, 62, 86

LLsLsLLsLsLsLLsLsLLsLsLs (MOS, not OTC)

  |  | ||  |   || |  || 

LLLLssLLssLLLLssLLssLLss (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o

LLsLsLLsLsLsLLsLsLLsLsLs (MOS, not OTC)

  ||||       || ||      

LLLsLsLsLsLsLsLLLsLsLsLs (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o

LLssLLssLLssLLLLssLLssLL (OTC MODMOS, form 1)

   ||  ||  ||    ||  || 

LLsLsLsLsLsLsLLLsLsLsLsL (OTC MODMOS, form 2)

symmetric modes:

sLLssLLLLssLLssLLLLssLLs (form 1)

LssLLLLssLLssLLssLLLLssL (form 1)

all modes, form 1:

ssLL ssLLssLLLL ssLLssLLLL
sLLs sLLssLLLLs sLLssLLLLs
LLss LLssLLLLss LLssLLLLss LLssLLssLL LLssLLssLL LLss
LssL LssLLLLssL LssLLLLssL LssLLssLLL LssLLssLLL LssL
ssLL ssLLLLssLL ssLLLLssLL ssLLssLLLL ssLLssLLLL ssLL
sLLs sLLLLssLLs sLLLLssLLs sLLssLLLLs sLLssLLLLs sLLs
LLss LLLLssLLss LLLLssLLss LLssLLLLss LLssLLLLss LLss
LssL LLLssLLssL LLLssLLssL LssLLLLssL LssLLLLssL LssL
ssLL LLssLLssLL LLssLLssLL ssLLLLssLL ssLLLLssLL ssLL
sLLLLssLLs sLLLLssLLs sLLs
LLLLssLLss LLLLssLLss LLss
LLLssLLssL LLLssLLssL LssL
LLssLLssLL LLss LLssLLssLL LLssLLssLL LLssLLssLL ssLL
LssLLssLLL LssL LssLLssLLL
ssLLssLLLL ssLL ssLLssLLLL
sLLssLLLLs sLLs sLLssLLLLs
LLssLLLLss LLss LLssLLLLss
LssLLLLssL LssL LssLLLLssL
ssLLLLssLL ssLL ssLLLLssLL
sLLLLssLLs sLLs sLLLLssLLs
LLLLssLLss LLss LLLLssLLss
LLLssLLssL LssL LLLssLLssL
LLss LLssLLssLL LLssLLssLL LLssLLssLL ssLL LLssLLssLL
LssL LssLLssLLL LssLLssLLL

all modes, form 2:

sLsL sLsLsLsLLL sLsLsLsLLL
LsLs LsLsLsLLLs LsLsLsLLLs
sLsL sLsLsLLLsL sLsLsLLLsL
LsLs LsLsLLLsLs LsLsLLLsLs LsLsLsLsLL LsLsLsLsLL LsLs
sLsL sLsLLLsLsL sLsLLLsLsL sLsLsLsLLL sLsLsLsLLL sLsL
LsLs LsLLLsLsLs LsLLLsLsLs LsLsLsLLLs LsLsLsLLLs LsLs
sLsL sLLLsLsLsL sLLLsLsLsL sLsLsLLLsL sLsLsLLLsL sLsL
LsLs LLLsLsLsLs LLLsLsLsLs LsLsLLLsLs LsLsLLLsLs LsLs
sLsL LLsLsLsLsL LLsLsLsLsL sLsLLLsLsL sLsLLLsLsL sLsL
LsLLLsLsLs LsLLLsLsLs LsLs
sLLLsLsLsL sLLLsLsLsL sLsL
LLLsLsLsLs LLLsLsLsLs LsLs
LLsLsLsLsL LLsLsLsLsL sLsL
LsLsLsLsLL LsLs LsLsLsLsLL
sLsLsLsLLL sLsL sLsLsLsLLL
LsLsLsLLLs LsLs LsLsLsLLLs
sLsLsLLLsL sLsL sLsLsLLLsL
LsLsLLLsLs LsLs LsLsLLLsLs
sLsLLLsLsL sLsL sLsLLLsLsL
LsLLLsLsLs LsLs LsLLLsLsLs
sLLLsLsLsL sLsL sLLLsLsLsL
LLLsLsLsLs LsLs LLLsLsLsLs
LLsLsLsLsL sLsL LLsLsLsLsL
LsLs LsLsLsLsLL LsLsLsLsLL

24_14_10_LssLLLLssL_LssL_LssLLLLssL.png

See also