OTC 17L 7s: 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 21:58:27 UTC</tt>.<br>
[[17L_7s|17L+7s]]
: The original revision id was <tt>590989488</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
[[17L 7s|17L+7s]]
24 tones (10+4+10)
24 tones (10+4+10)


[[maqamic]], [[hemififths]]; 2 forms
[[maqamic|maqamic]], [[Hemififths|hemififths]]; 2 forms
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.7027638899


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.7027638899
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 10.6895104219 (4/3 = 7L+3.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 10.6895104219 (4/3 = 7L+3.5s)


L = 50.00 to 70.59 cents (56.84 cents @ P, 67.97 cents @ Q)
L = 50.00 to 70.59 cents (56.84 cents @ P, 67.97 cents @ Q)
s = 0.00 to 50.00 cents (33.38 cents @ P, 6.36 cents @ Q)
s = 0.00 to 50.00 cents (33.38 cents @ P, 6.36 cents @ Q)


9/8 = 3L+s (200.00 to 211.76 cents)
9/8 = 3L+s (200.00 to 211.76 cents)
4/3 = 7L+3s (494.12 to 500.00 cents)
4/3 = 7L+3s (494.12 to 500.00 cents)
MOS generator = 5L+2s (350.00 to 352.94 cents)
MOS generator = 5L+2s (350.00 to 352.94 cents)


notable EDOs: 41, 58, 65, 75, 89
notable EDOs: 41, 58, 65, 75, 89


{{ LLLsLLsLLLsLLsLLLsLLsLLs }} (MOS, not OTC)
<tt> LLLsLLsLLLsLLsLLLsLLsLLs </tt> (MOS, not OTC)
{{       ||                 }}
 
{{ LLLsLLLsLLsLLsLLLsLLsLLs }} (OTC MODMOS, form 1) - gc 22; 2o
<tt>       ||                 </tt>


{{ LLLsLLsLLLsLLsLLLsLLsLLs }} (MOS, not OTC)
<tt> LLLsLLLsLLsLLsLLLsLLsLLs </tt> (OTC MODMOS, form 1) - gc 22; 2o
{{      ||  ||        ||    }}
{{ LLLsLsLLLsLLLsLLLsLsLLLs }} (OTC MODMOS, form 2) - gc 18; 6o


{{ LLLsLLsLLsLLLsLLsLLsLLLs }} (OTC MODMOS, form 1)
<tt> LLLsLLsLLLsLLsLLLsLLsLLs </tt> (MOS, not OTC)
{{      ||         ||       }}
{{ LLLsLsLLLsLLLsLLLsLsLLLs }} (OTC MODMOS, form 2)


all modes, form 1:
<tt>      ||  ||        ||    </tt>
|| || || {{ sLLsLLsLLL sLLsLLsLLL sLLL }} ||
|| || || {{ LLsLLsLLLs LLsLLsLLLs LLLs }} ||
|| || || {{ LsLLsLLLsL LsLLsLLLsL LLsL }} ||
|| || || {{ sLLsLLLsLL sLLsLLLsLL LsLL }} ||
|| || {{ LLsLLLsLLs LLsL LLsLLLsLLs }} || ||
|| || {{ LsLLLsLLsL LsLL LsLLLsLLsL }} || ||
|| || {{ sLLLsLLsLL sLLL sLLLsLLsLL }} || ||
|| || {{ LLLsLLsLLs LLLs LLLsLLsLLs }} || ||
|| || {{ LLsLLsLLsL LLsL LLsLLsLLsL }} || ||
|| || {{ LsLLsLLsLL LsLL LsLLsLLsLL }} || ||
|| || {{ sLLsLLsLLL sLLL sLLsLLsLLL }} || ||
|| || {{ LLsLLsLLLs LLLs LLsLLsLLLs }} || ||
|| || {{ LsLLsLLLsL LLsL LsLLsLLLsL }} || ||
|| || {{ sLLsLLLsLL LsLL sLLsLLLsLL }} || ||
|| {{ LLsL LLsLLLsLLs LLsLLLsLLs }} || || ||
|| {{ LsLL LsLLLsLLsL LsLLLsLLsL }} || || ||
|| {{ sLLL sLLLsLLsLL sLLLsLLsLL }} || || ||
|| {{ LLLs LLLsLLsLLs LLLsLLsLLs }} || || ||
|| {{ LLsL LLsLLsLLsL LLsLLsLLsL }} || || {{ LLsLLLsLLs LLsLLLsLLs LLsL }} ||
|| {{ LsLL LsLLsLLsLL LsLLsLLsLL }} || || {{ LsLLLsLLsL LsLLLsLLsL LsLL }} ||
|| {{ sLLL sLLsLLsLLL sLLsLLsLLL }} || || {{ sLLLsLLsLL sLLLsLLsLL sLLL }} ||
|| {{ LLLs LLsLLsLLLs LLsLLsLLLs }} || || {{ LLLsLLsLLs LLLsLLsLLs LLLs }} ||
|| {{ LLsL LsLLsLLLsL LsLLsLLLsL }} || || {{ LLsLLsLLsL LLsLLsLLsL LLsL }} ||
|| {{ LsLL sLLsLLLsLL sLLsLLLsLL }} || || {{ LsLLsLLsLL LsLLsLLsLL LsLL }} ||


all modes, form 2:
<tt> LLLsLsLLLsLLLsLLLsLsLLLs </tt> (OTC MODMOS, form 2) - gc 18; 6o
|| || || {{ sLsLLLsLLL sLsLLLsLLL sLLL }} ||
|| || {{ LsLLLsLLLs LsLL LsLLLsLLLs }} || {{ LsLLLsLLLs LsLLLsLLLs LLLs }} ||
|| || {{ sLLLsLLLsL sLLL sLLLsLLLsL }} || {{ sLLLsLLLsL sLLLsLLLsL LLsL }} ||
|| || {{ LLLsLLLsLs LLLs LLLsLLLsLs }} || ||
|| || {{ LLsLLLsLsL LLsL LLsLLLsLsL }} || ||
|| || {{ LsLLLsLsLL LsLL LsLLLsLsLL }} || ||
|| || {{ sLLLsLsLLL sLLL sLLLsLsLLL }} || ||
|| || {{ LLLsLsLLLs LLLs LLLsLsLLLs }} || ||
|| || {{ LLsLsLLLsL LLsL LLsLsLLLsL }} || ||
|| || {{ LsLsLLLsLL LsLL LsLsLLLsLL }} || ||
|| || {{ sLsLLLsLLL sLLL sLsLLLsLLL }} || ||
|| {{ LsLL LsLLLsLLLs LsLLLsLLLs }} || {{ LsLLLsLLLs LLLs LsLLLsLLLs }} || ||
|| {{ sLLL sLLLsLLLsL sLLLsLLLsL }} || {{ sLLLsLLLsL LLsL sLLLsLLLsL }} || ||
|| {{ LLLs LLLsLLLsLs LLLsLLLsLs }} || || ||
|| {{ LLsL LLsLLLsLsL LLsLLLsLsL }} || || ||
|| {{ LsLL LsLLLsLsLL LsLLLsLsLL }} || || {{ LsLLLsLLLs LsLLLsLLLs LsLL }} ||
|| {{ sLLL sLLLsLsLLL sLLLsLsLLL }} || || {{ sLLLsLLLsL sLLLsLLLsL sLLL }} ||
|| {{ LLLs LLLsLsLLLs LLLsLsLLLs }} || || {{ LLLsLLLsLs LLLsLLLsLs LLLs }} ||
|| {{ LLsL LLsLsLLLsL LLsLsLLLsL }} || || {{ LLsLLLsLsL LLsLLLsLsL LLsL }} ||
|| {{ LsLL LsLsLLLsLL LsLsLLLsLL }} || || {{ LsLLLsLsLL LsLLLsLsLL LsLL }} ||
|| {{ sLLL sLsLLLsLLL sLsLLLsLLL }} || || {{ sLLLsLsLLL sLLLsLsLLL sLLL }} ||
|| {{ LLLs LsLLLsLLLs LsLLLsLLLs }} || || {{ LLLsLsLLLs LLLsLsLLLs LLLs }} ||
|| {{ LLsL sLLLsLLLsL sLLLsLLLsL }} || || {{ LLsLsLLLsL LLsLsLLLsL LLsL }} ||
|| || || {{ LsLsLLLsLL LsLsLLLsLL LsLL }} ||


[[image:24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png]]
<tt> LLLsLLsLLsLLLsLLsLLsLLLs </tt> (OTC MODMOS, form 1)


===See also===
<tt>      ||         ||       </tt>
* [[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 17L 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/17L%207s"&gt;17L+7s&lt;/a&gt;&lt;br /&gt;
24 tones (10+4+10)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/maqamic"&gt;maqamic&lt;/a&gt;, &lt;a class="wiki_link" href="/hemififths"&gt;hemififths&lt;/a&gt;; 2 forms&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 1.7027638899&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 10.6895104219 (4/3 = 7L+3.5s)&lt;br /&gt;
&lt;br /&gt;
L = 50.00 to 70.59 cents (56.84 cents @ P, 67.97 cents @ Q)&lt;br /&gt;
s = 0.00 to 50.00 cents (33.38 cents @ P, 6.36 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 3L+s (200.00 to 211.76 cents)&lt;br /&gt;
4/3 = 7L+3s (494.12 to 500.00 cents)&lt;br /&gt;
MOS generator = 5L+2s (350.00 to 352.94 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 41, 58, 65, 75, 89&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLsLLsLLLsLLsLLLsLLsLLs &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;       ||                 &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLsLLLsLLsLLsLLLsLLsLLs &lt;/tt&gt; (OTC MODMOS, form 1) - gc 22; 2o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLsLLsLLLsLLsLLLsLLsLLs &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;      ||  ||        ||    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLsLsLLLsLLLsLLLsLsLLLs &lt;/tt&gt; (OTC MODMOS, form 2) - gc 18; 6o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLsLLsLLsLLLsLLsLLsLLLs &lt;/tt&gt; (OTC MODMOS, form 1)&lt;br /&gt;
&lt;tt&gt;      ||         ||       &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLsLsLLLsLLLsLLLsLsLLLs &lt;/tt&gt; (OTC MODMOS, form 2)&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


<tt> LLLsLsLLLsLLLsLLLsLsLLLs </tt> (OTC MODMOS, form 2)


&lt;table class="wiki_table"&gt;
all modes, form 1:
    &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; sLLsLLsLLL sLLsLLsLLL sLLL &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; LLsLLsLLLs LLsLLsLLLs LLLs &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; LsLLsLLLsL LsLLsLLLsL LLsL &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; sLLsLLLsLL sLLsLLLsLL LsLL &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; LLsLLLsLLs LLsL LLsLLLsLLs &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; LsLLLsLLsL LsLL LsLLLsLLsL &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; sLLLsLLsLL sLLL sLLLsLLsLL &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; LLLsLLsLLs LLLs LLLsLLsLLs &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; LLsLLsLLsL LLsL LLsLLsLLsL &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; LsLLsLLsLL LsLL LsLLsLLsLL &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; sLLsLLsLLL sLLL sLLsLLsLLL &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; LLsLLsLLLs LLLs LLsLLsLLLs &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; LsLLsLLLsL LLsL LsLLsLLLsL &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; sLLsLLLsLL LsLL sLLsLLLsLL &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; LLsL LLsLLLsLLs LLsLLLsLLs &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; LsLL LsLLLsLLsL LsLLLsLLsL &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; sLLL sLLLsLLsLL sLLLsLLsLL &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; LLLs LLLsLLsLLs LLLsLLsLLs &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; LLsL LLsLLsLLsL LLsLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLLsLLs LLsLLLsLLs LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LsLLsLLsLL LsLLsLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsLLsL LsLLLsLLsL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLL sLLsLLsLLL sLLsLLsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLLsLL sLLLsLLsLL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LLsLLsLLLs LLsLLsLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsLLsLLs LLLsLLsLLs LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLsL LsLLsLLLsL LsLLsLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLsLLsL LLsLLsLLsL LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLL sLLsLLLsLL sLLsLLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLsLL LsLLsLLsLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
{| class="wikitable"
all modes, form 2:&lt;br /&gt;
|-
| |
| |
| | <tt> sLLsLLsLLL sLLsLLsLLL sLLL </tt>
|-
| |
| |
| | <tt> LLsLLsLLLs LLsLLsLLLs LLLs </tt>
|-
| |
| |
| | <tt> LsLLsLLLsL LsLLsLLLsL LLsL </tt>
|-
| |
| |
| | <tt> sLLsLLLsLL sLLsLLLsLL LsLL </tt>
|-
| |
| | <tt> LLsLLLsLLs LLsL LLsLLLsLLs </tt>
| |
|-
| |
| | <tt> LsLLLsLLsL LsLL LsLLLsLLsL </tt>
| |
|-
| |
| | <tt> sLLLsLLsLL sLLL sLLLsLLsLL </tt>
| |
|-
| |
| | <tt> LLLsLLsLLs LLLs LLLsLLsLLs </tt>
| |
|-
| |
| | <tt> LLsLLsLLsL LLsL LLsLLsLLsL </tt>
| |
|-
| |
| | <tt> LsLLsLLsLL LsLL LsLLsLLsLL </tt>
| |
|-
| |
| | <tt> sLLsLLsLLL sLLL sLLsLLsLLL </tt>
| |
|-
| |
| | <tt> LLsLLsLLLs LLLs LLsLLsLLLs </tt>
| |
|-
| |
| | <tt> LsLLsLLLsL LLsL LsLLsLLLsL </tt>
| |
|-
| |
| | <tt> sLLsLLLsLL LsLL sLLsLLLsLL </tt>
| |
|-
| | <tt> LLsL LLsLLLsLLs LLsLLLsLLs </tt>
| |
| |
|-
| | <tt> LsLL LsLLLsLLsL LsLLLsLLsL </tt>
| |
| |
|-
| | <tt> sLLL sLLLsLLsLL sLLLsLLsLL </tt>
| |
| |
|-
| | <tt> LLLs LLLsLLsLLs LLLsLLsLLs </tt>
| |
| |
|-
| | <tt> LLsL LLsLLsLLsL LLsLLsLLsL </tt>
| |
| | <tt> LLsLLLsLLs LLsLLLsLLs LLsL </tt>
|-
| | <tt> LsLL LsLLsLLsLL LsLLsLLsLL </tt>
| |
| | <tt> LsLLLsLLsL LsLLLsLLsL LsLL </tt>
|-
| | <tt> sLLL sLLsLLsLLL sLLsLLsLLL </tt>
| |
| | <tt> sLLLsLLsLL sLLLsLLsLL sLLL </tt>
|-
| | <tt> LLLs LLsLLsLLLs LLsLLsLLLs </tt>
| |
| | <tt> LLLsLLsLLs LLLsLLsLLs LLLs </tt>
|-
| | <tt> LLsL LsLLsLLLsL LsLLsLLLsL </tt>
| |
| | <tt> LLsLLsLLsL LLsLLsLLsL LLsL </tt>
|-
| | <tt> LsLL sLLsLLLsLL sLLsLLLsLL </tt>
| |
| | <tt> LsLLsLLsLL LsLLsLLsLL LsLL </tt>
|}


all modes, form 2:


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsLLLsLLL sLsLLLsLLL sLLL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsLLLsLLL sLsLLLsLLL sLLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLLLsLLLs LsLL LsLLLsLLLs </tt>
    &lt;/tr&gt;
| | <tt> LsLLLsLLLs LsLLLsLLLs LLLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLLsLLLsL sLLL sLLLsLLLsL </tt>
        &lt;td&gt;&lt;tt&gt; LsLLLsLLLs LsLL LsLLLsLLLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLLLsLLLsL sLLLsLLLsL LLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLLLsLLLs LsLLLsLLLs LLLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLLsLLLsLs LLLs LLLsLLLsLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLsLLLsLsL LLsL LLsLLLsLsL </tt>
        &lt;td&gt;&lt;tt&gt; sLLLsLLLsL sLLL sLLLsLLLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLLLsLLLsL sLLLsLLLsL LLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLLLsLsLL LsLL LsLLLsLsLL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLLsLsLLL sLLL sLLLsLsLLL </tt>
        &lt;td&gt;&lt;tt&gt; LLLsLLLsLs LLLs LLLsLLLsLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLLsLsLLLs LLLs LLLsLsLLLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLsLsLLLsL LLsL LLsLsLLLsL </tt>
        &lt;td&gt;&lt;tt&gt; LLsLLLsLsL LLsL LLsLLLsLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLsLLLsLL LsLL LsLsLLLsLL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLLLsLLL sLLL sLsLLLsLLL </tt>
        &lt;td&gt;&lt;tt&gt; LsLLLsLsLL LsLL LsLLLsLsLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLL LsLLLsLLLs LsLLLsLLLs </tt>
&lt;/td&gt;
| | <tt> LsLLLsLLLs LLLs LsLLLsLLLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLLL sLLLsLLLsL sLLLsLLLsL </tt>
&lt;/td&gt;
| | <tt> sLLLsLLLsL LLsL sLLLsLLLsL </tt>
        &lt;td&gt;&lt;tt&gt; sLLLsLsLLL sLLL sLLLsLsLLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLLs LLLsLLLsLs LLLsLLLsLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLsL LLsLLLsLsL LLsLLLsLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; LLLsLsLLLs LLLs LLLsLsLLLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLL LsLLLsLsLL LsLLLsLsLL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLLLsLLLs LsLLLsLLLs LsLL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLLL sLLLsLsLLL sLLLsLsLLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; LLsLsLLLsL LLsL LLsLsLLLsL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLLLsLLLsL sLLLsLLLsL sLLL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLLs LLLsLsLLLs LLLsLsLLLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LLLsLLLsLs LLLsLLLsLs LLLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLsL LLsLsLLLsL LLsLsLLLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; LsLsLLLsLL LsLL LsLsLLLsLL &lt;/tt&gt;&lt;br /&gt;
| | <tt> LLsLLLsLsL LLsLLLsLsL LLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLL LsLsLLLsLL LsLsLLLsLL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLLLsLsLL LsLLLsLsLL LsLL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLLL sLsLLLsLLL sLsLLLsLLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; sLsLLLsLLL sLLL sLsLLLsLLL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLLLsLsLLL sLLLsLsLLL sLLL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLLs LsLLLsLLLs LsLLLsLLLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LLLsLsLLLs LLLsLsLLLs LLLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLL LsLLLsLLLs LsLLLsLLLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> LLsL sLLLsLLLsL sLLLsLLLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; LsLLLsLLLs LLLs LsLLLsLLLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> LLsLsLLLsL LLsLsLLLsL LLsL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLsLLLsLL LsLsLLLsLL LsLL </tt>
    &lt;tr&gt;
|}
        &lt;td&gt;&lt;tt&gt; sLLL sLLLsLLLsL sLLLsLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLLLsL LLsL sLLLsLLLsL &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; LLLs LLLsLLLsLs LLLsLLLsLs &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; LLsL LLsLLLsLsL LLsLLLsLsL &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; LsLL LsLLLsLsLL LsLLLsLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsLLLs LsLLLsLLLs LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLL sLLLsLsLLL sLLLsLsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLLLsL sLLLsLLLsL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LLLsLsLLLs LLLsLsLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsLLLsLs LLLsLLLsLs LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLsL LLsLsLLLsL LLsLsLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLLsLsL LLsLLLsLsL LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LsLsLLLsLL LsLsLLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsLsLL LsLLLsLsLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLL sLsLLLsLLL sLsLLLsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLsLLL sLLLsLsLLL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LsLLLsLLLs LsLLLsLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsLsLLLs LLLsLsLLLs LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLsL sLLLsLLLsL sLLLsLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLsLLLsL LLsLsLLLsL LLsL &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; LsLsLLLsLL LsLsLLLsLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[[File:24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png|alt=24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png|24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png]]
&lt;!-- ws:start:WikiTextLocalImageRule:396:&amp;lt;img src=&amp;quot;/file/view/24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png/590988904/24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png/590988904/24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png" alt="24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png" title="24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:396 --&gt;&lt;br /&gt;
 
&lt;br /&gt;
===See also===
&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;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&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

17L+7s

24 tones (10+4+10)

maqamic, hemififths; 2 forms

P = 1.7027638899

Q = 10.6895104219 (4/3 = 7L+3.5s)

L = 50.00 to 70.59 cents (56.84 cents @ P, 67.97 cents @ Q)

s = 0.00 to 50.00 cents (33.38 cents @ P, 6.36 cents @ Q)

9/8 = 3L+s (200.00 to 211.76 cents)

4/3 = 7L+3s (494.12 to 500.00 cents)

MOS generator = 5L+2s (350.00 to 352.94 cents)

notable EDOs: 41, 58, 65, 75, 89

LLLsLLsLLLsLLsLLLsLLsLLs (MOS, not OTC)

      ||                

LLLsLLLsLLsLLsLLLsLLsLLs (OTC MODMOS, form 1) - gc 22; 2o

LLLsLLsLLLsLLsLLLsLLsLLs (MOS, not OTC)

     ||  ||        ||   

LLLsLsLLLsLLLsLLLsLsLLLs (OTC MODMOS, form 2) - gc 18; 6o

LLLsLLsLLsLLLsLLsLLsLLLs (OTC MODMOS, form 1)

     ||         ||      

LLLsLsLLLsLLLsLLLsLsLLLs (OTC MODMOS, form 2)

all modes, form 1:

sLLsLLsLLL sLLsLLsLLL sLLL
LLsLLsLLLs LLsLLsLLLs LLLs
LsLLsLLLsL LsLLsLLLsL LLsL
sLLsLLLsLL sLLsLLLsLL LsLL
LLsLLLsLLs LLsL LLsLLLsLLs
LsLLLsLLsL LsLL LsLLLsLLsL
sLLLsLLsLL sLLL sLLLsLLsLL
LLLsLLsLLs LLLs LLLsLLsLLs
LLsLLsLLsL LLsL LLsLLsLLsL
LsLLsLLsLL LsLL LsLLsLLsLL
sLLsLLsLLL sLLL sLLsLLsLLL
LLsLLsLLLs LLLs LLsLLsLLLs
LsLLsLLLsL LLsL LsLLsLLLsL
sLLsLLLsLL LsLL sLLsLLLsLL
LLsL LLsLLLsLLs LLsLLLsLLs
LsLL LsLLLsLLsL LsLLLsLLsL
sLLL sLLLsLLsLL sLLLsLLsLL
LLLs LLLsLLsLLs LLLsLLsLLs
LLsL LLsLLsLLsL LLsLLsLLsL LLsLLLsLLs LLsLLLsLLs LLsL
LsLL LsLLsLLsLL LsLLsLLsLL LsLLLsLLsL LsLLLsLLsL LsLL
sLLL sLLsLLsLLL sLLsLLsLLL sLLLsLLsLL sLLLsLLsLL sLLL
LLLs LLsLLsLLLs LLsLLsLLLs LLLsLLsLLs LLLsLLsLLs LLLs
LLsL LsLLsLLLsL LsLLsLLLsL LLsLLsLLsL LLsLLsLLsL LLsL
LsLL sLLsLLLsLL sLLsLLLsLL LsLLsLLsLL LsLLsLLsLL LsLL

all modes, form 2:

sLsLLLsLLL sLsLLLsLLL sLLL
LsLLLsLLLs LsLL LsLLLsLLLs LsLLLsLLLs LsLLLsLLLs LLLs
sLLLsLLLsL sLLL sLLLsLLLsL sLLLsLLLsL sLLLsLLLsL LLsL
LLLsLLLsLs LLLs LLLsLLLsLs
LLsLLLsLsL LLsL LLsLLLsLsL
LsLLLsLsLL LsLL LsLLLsLsLL
sLLLsLsLLL sLLL sLLLsLsLLL
LLLsLsLLLs LLLs LLLsLsLLLs
LLsLsLLLsL LLsL LLsLsLLLsL
LsLsLLLsLL LsLL LsLsLLLsLL
sLsLLLsLLL sLLL sLsLLLsLLL
LsLL LsLLLsLLLs LsLLLsLLLs LsLLLsLLLs LLLs LsLLLsLLLs
sLLL sLLLsLLLsL sLLLsLLLsL sLLLsLLLsL LLsL sLLLsLLLsL
LLLs LLLsLLLsLs LLLsLLLsLs
LLsL LLsLLLsLsL LLsLLLsLsL
LsLL LsLLLsLsLL LsLLLsLsLL LsLLLsLLLs LsLLLsLLLs LsLL
sLLL sLLLsLsLLL sLLLsLsLLL sLLLsLLLsL sLLLsLLLsL sLLL
LLLs LLLsLsLLLs LLLsLsLLLs LLLsLLLsLs LLLsLLLsLs LLLs
LLsL LLsLsLLLsL LLsLsLLLsL LLsLLLsLsL LLsLLLsLsL LLsL
LsLL LsLsLLLsLL LsLsLLLsLL LsLLLsLsLL LsLLLsLsLL LsLL
sLLL sLsLLLsLLL sLsLLLsLLL sLLLsLsLLL sLLLsLsLLL sLLL
LLLs LsLLLsLLLs LsLLLsLLLs LLLsLsLLLs LLLsLsLLLs LLLs
LLsL sLLLsLLLsL sLLLsLLLsL LLsLsLLLsL LLsLsLLLsL LLsL
LsLsLLLsLL LsLsLLLsLL LsLL

24_17_07_LLLsLLsLLs_LLLs_LLsLLsLLLs.png

See also

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