OTC 7L 11s: 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>2016-08-31 20:55:58 UTC</tt>.<br>
[[7L_11s|7L+11s]]
: The original revision id was <tt>590700964</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
[[7L 11s|7L+11s]]
18 tones (7+4+7)
18 tones (7+4+7)


sixix?; 2 forms; best for L/s&gt;2
sixix?; 2 forms; best for L/s&gt;2


[[Gallery of omnitetrachordal scales#perfect|P]] = 5.968201208
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 5.968201208
[[Gallery of omnitetrachordal scales#Q|Q]]&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt; ``=`` 11.2459420535 (4/3 = 3L+3.5s)
 
Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt; ``=`` 0.6904603624 (4/3 = 3L+4.5s)
[[Gallery_of_omnitetrachordal_scales#Q|Q]]<span style="vertical-align: sub;">1</span> = 11.2459420535 (4/3 = 3L+3.5s)
(Since Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt;&lt;1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)
 
Q<span style="vertical-align: sub;">2</span> = 0.6904603624 (4/3 = 3L+4.5s)
 
(Since Q<span style="vertical-align: sub;">2</span>&lt;1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)


L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)
L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)


9/8 = L+3s (171.43 to 266.67 cents)
9/8 = L+3s (171.43 to 266.67 cents)
4/3 = 3L+4s (466.67 to 514.29 cents)
4/3 = 3L+4s (466.67 to 514.29 cents)
MOS generator = 2L+3s (333.33 to 342.86 cents)
MOS generator = 2L+3s (333.33 to 342.86 cents)


notable EDOs: 25, 32, 39, 46, 53
notable EDOs: 25, 32, 39, 46, 53


{{ LsLssLsLssLsLssLss }} (MOS, not OTC)
<tt> LsLssLsLssLsLssLss </tt> (MOS, not OTC)
{{  ||     | |    ||  }}
{{ LLsssLsLLsssLsssLs }} (OTC MODMOS, form 1) - gc 4,4,3,2; 5o


{{ LsLssLsLssLsLssLss }} (MOS, not OTC)
<tt>  ||     | |    ||  </tt>
{{   | |     ||  ||   }}
{{ LsssLLsLsssLLsLsss }} (OTC MODMOS, form 2) - gc 4,4,3,2; 5o


{{ LLsssLsLLsssLsssLs }} (form 1)
<tt> LLsssLsLLsssLsssLs </tt> (OTC MODMOS, form 1) - gc 4,4,3,2; 5o
{{  |  |   |  |  | |  }}
{{ LsssLLsLsssLLsLsss }} (form 2)


<tt> LsLssLsLssLsLssLss </tt> (MOS, not OTC)


all modes, form 1:
<tt>   | |     ||  ||   </tt>
|| || || {{ LLsssLs LLsssLs ssLs }} ||
|| || {{ LsssLsL Lsss LsssLsL }} || ||
|| || {{ sssLsLL sssL sssLsLL }} || ||
|| || {{ ssLsLLs ssLs ssLsLLs }} || ||
|| || {{ sLsLLss sLss sLsLLss }} || ||
|| || {{ LsLLsss Lsss LsLLsss }} || ||
|| || {{ sLLsssL sssL sLLsssL }} || ||
|| || {{ LLsssLs ssLs LLsssLs }} || ||
|| {{ Lsss LsssLsL LsssLsL }} || || ||
|| {{ sssL sssLsLL sssLsLL }} || || ||
|| {{ ssLs ssLsLLs ssLsLLs }} || || ||
|| {{ sLss sLsLLss sLsLLss }} || || ||
|| {{ Lsss LsLLsss LsLLsss }} || || {{ LsssLsL LsssLsL Lsss }} ||
|| {{ sssL sLLsssL sLLsssL }} || || {{ sssLsLL sssLsLL sssL }} ||
|| {{ ssLs LLsssLs LLsssLs }} || || {{ ssLsLLs ssLsLLs ssLs }} ||
|| || || {{ sLsLLss sLsLLss sLss }} ||
|| || || {{ LsLLsss LsLLsss Lsss }} ||
|| || || {{ sLLsssL sLLsssL sssL }} ||


<tt> LsssLLsLsssLLsLsss </tt> (OTC MODMOS, form 2) - gc 4,4,3,2; 5o


all modes, form 2:
<tt> LLsssLsLLsssLsssLs </tt> (form 1)
|| {{ Lsss LLsLsss LLsLsss }} || || {{ LsssLLs LsssLLs Lsss }} ||
|| {{ sssL LsLsssL LsLsssL }} || || {{ sssLLsL sssLLsL sssL }} ||
|| || || {{ ssLLsLs ssLLsLs ssLs }} ||
|| || || {{ sLLsLss sLLsLss sLss }} ||
|| || || {{ LLsLsss LLsLsss Lsss }} ||
|| || || {{ LsLsssL LsLsssL sssL }} ||
|| || {{ sLsssLL sLss sLsssLL }} || ||
|| || {{ LsssLLs Lsss LsssLLs }} || ||
|| || {{ sssLLsL sssL sssLLsL }} || ||
|| || {{ ssLLsLs ssLs ssLLsLs }} || ||
|| || {{ sLLsLss sLss sLLsLss }} || ||
|| || {{ LLsLsss Lsss LLsLsss }} || ||
|| || {{ LsLsssL sssL LsLsssL }} || ||
|| {{ sLss sLsssLL sLsssLL }} || || ||
|| {{ Lsss LsssLLs LsssLLs }} || || ||
|| {{ sssL sssLLsL sssLLsL }} || || ||
|| {{ ssLs ssLLsLs ssLLsLs }} || || ||
|| {{ sLss sLLsLss sLLsLss }} || || {{ sLsssLL sLsssLL sLss }} ||


[[image:18_07_11_sssLsLL_sssL_sssLsLL.png]]
<tt>  |  |   |  |  | |  </tt>


===See also===
<tt> LsssLLsLsssLLsLsss </tt> (form 2)
* [[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 7L 11s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%2011s"&gt;7L+11s&lt;/a&gt;&lt;br /&gt;
18 tones (7+4+7)&lt;br /&gt;
&lt;br /&gt;
sixix?; 2 forms; best for L/s&amp;gt;2&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 5.968201208&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt;&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt; &lt;!-- ws:start:WikiTextRawRule:00:``=`` --&gt;=&lt;!-- ws:end:WikiTextRawRule:00 --&gt; 11.2459420535 (4/3 = 3L+3.5s)&lt;br /&gt;
Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt; &lt;!-- ws:start:WikiTextRawRule:01:``=`` --&gt;=&lt;!-- ws:end:WikiTextRawRule:01 --&gt; 0.6904603624 (4/3 = 3L+4.5s)&lt;br /&gt;
(Since Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt;&amp;lt;1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)&lt;br /&gt;
&lt;br /&gt;
L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)&lt;br /&gt;
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+3s (171.43 to 266.67 cents)&lt;br /&gt;
4/3 = 3L+4s (466.67 to 514.29 cents)&lt;br /&gt;
MOS generator = 2L+3s (333.33 to 342.86 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 25, 32, 39, 46, 53&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLssLsLssLsLssLss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||     | |    ||  &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLsssLsLLsssLsssLs &lt;/tt&gt; (OTC MODMOS, form 1) - gc 4,4,3,2; 5o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLssLsLssLsLssLss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;   | |     ||  ||   &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsssLLsLsssLLsLsss &lt;/tt&gt; (OTC MODMOS, form 2) - gc 4,4,3,2; 5o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLsssLsLLsssLsssLs &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;tt&gt;  |  |   |  |  | |  &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsssLLsLsssLLsLsss &lt;/tt&gt; (form 2)&lt;br /&gt;
&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;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> LLsssLs LLsssLs ssLs </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LLsssLs LLsssLs ssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsssLsL Lsss LsssLsL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sssLsLL sssL sssLsLL </tt>
        &lt;td&gt;&lt;tt&gt; LsssLsL Lsss LsssLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssLsLLs ssLs ssLsLLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLLss sLss sLsLLss </tt>
        &lt;td&gt;&lt;tt&gt; sssLsLL sssL sssLsLL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLLsss Lsss LsLLsss </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLsssL sssL sLLsssL </tt>
        &lt;td&gt;&lt;tt&gt; ssLsLLs ssLs ssLsLLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLsssLs ssLs LLsssLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> Lsss LsssLsL LsssLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; sLsLLss sLss sLsLLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sssL sssLsLL sssLsLL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> ssLs ssLsLLs ssLsLLs </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; LsLLsss Lsss LsLLsss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLss sLsLLss sLsLLss </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> Lsss LsLLsss LsLLsss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; sLLsssL sssL sLLsssL &lt;/tt&gt;&lt;br /&gt;
| | <tt> LsssLsL LsssLsL Lsss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sssL sLLsssL sLLsssL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> sssLsLL sssLsLL sssL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> ssLs LLsssLs LLsssLs </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;tt&gt; LLsssLs ssLs LLsssLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLsLLs ssLsLLs ssLs </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> sLsLLss sLsLLss sLss </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; Lsss LsssLsL LsssLsL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> LsLLsss LsLLsss Lsss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> sLLsssL sLLsssL sssL </tt>
    &lt;tr&gt;
|}
        &lt;td&gt;&lt;tt&gt; sssL sssLsLL sssLsLL &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; ssLs ssLsLLs ssLsLLs &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; sLss sLsLLss sLsLLss &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; Lsss LsLLsss LsLLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLsL LsssLsL Lsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sssL sLLsssL sLLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLsLL sssLsLL sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLs LLsssLs LLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsLLs ssLsLLs ssLs &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; sLsLLss sLsLLss sLss &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; LsLLsss LsLLsss Lsss &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; sLLsssL sLLsssL sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


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


{| class="wikitable"
|-
| | <tt> Lsss LLsLsss LLsLsss </tt>
| |
| | <tt> LsssLLs LsssLLs Lsss </tt>
|-
| | <tt> sssL LsLsssL LsLsssL </tt>
| |
| | <tt> sssLLsL sssLLsL sssL </tt>
|-
| |
| |
| | <tt> ssLLsLs ssLLsLs ssLs </tt>
|-
| |
| |
| | <tt> sLLsLss sLLsLss sLss </tt>
|-
| |
| |
| | <tt> LLsLsss LLsLsss Lsss </tt>
|-
| |
| |
| | <tt> LsLsssL LsLsssL sssL </tt>
|-
| |
| | <tt> sLsssLL sLss sLsssLL </tt>
| |
|-
| |
| | <tt> LsssLLs Lsss LsssLLs </tt>
| |
|-
| |
| | <tt> sssLLsL sssL sssLLsL </tt>
| |
|-
| |
| | <tt> ssLLsLs ssLs ssLLsLs </tt>
| |
|-
| |
| | <tt> sLLsLss sLss sLLsLss </tt>
| |
|-
| |
| | <tt> LLsLsss Lsss LLsLsss </tt>
| |
|-
| |
| | <tt> LsLsssL sssL LsLsssL </tt>
| |
|-
| | <tt> sLss sLsssLL sLsssLL </tt>
| |
| |
|-
| | <tt> Lsss LsssLLs LsssLLs </tt>
| |
| |
|-
| | <tt> sssL sssLLsL sssLLsL </tt>
| |
| |
|-
| | <tt> ssLs ssLLsLs ssLLsLs </tt>
| |
| |
|-
| | <tt> sLss sLLsLss sLLsLss </tt>
| |
| | <tt> sLsssLL sLsssLL sLss </tt>
|}


&lt;table class="wiki_table"&gt;
[[File:18_07_11_sssLsLL_sssL_sssLsLL.png|alt=18_07_11_sssLsLL_sssL_sssLsLL.png|18_07_11_sssLsLL_sssL_sssLsLL.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lsss LLsLsss LLsLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLLs LsssLLs Lsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sssL LsLsssL LsLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLLsL sssLLsL sssL &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; ssLLsLs ssLLsLs ssLs &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; sLLsLss sLLsLss sLss &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; LLsLsss LLsLsss Lsss &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; LsLsssL LsLsssL sssL &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; sLsssLL sLss sLsssLL &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; LsssLLs Lsss LsssLLs &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; sssLLsL sssL sssLLsL &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; ssLLsLs ssLs ssLLsLs &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; sLLsLss sLss sLLsLss &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; LLsLsss Lsss LLsLsss &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; LsLsssL sssL LsLsssL &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; sLss sLsssLL sLsssLL &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; Lsss LsssLLs LsssLLs &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; sssL sssLLsL sssLLsL &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; ssLs ssLLsLs ssLLsLs &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; sLss sLLsLss sLLsLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLL sLsssLL sLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:302:&amp;lt;img src=&amp;quot;/file/view/18_07_11_sssLsLL_sssL_sssLsLL.png/589273878/18_07_11_sssLsLL_sssL_sssLsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/18_07_11_sssLsLL_sssL_sssLsLL.png/589273878/18_07_11_sssLsLL_sssL_sssLsLL.png" alt="18_07_11_sssLsLL_sssL_sssLsLL.png" title="18_07_11_sssLsLL_sssL_sssLsLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:302 --&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:2:&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:2 --&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

7L+11s

18 tones (7+4+7)

sixix?; 2 forms; best for L/s>2

P = 5.968201208

Q1 = 11.2459420535 (4/3 = 3L+3.5s)

Q2 = 0.6904603624 (4/3 = 3L+4.5s)

(Since Q2<1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)

L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)

s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)

9/8 = L+3s (171.43 to 266.67 cents)

4/3 = 3L+4s (466.67 to 514.29 cents)

MOS generator = 2L+3s (333.33 to 342.86 cents)

notable EDOs: 25, 32, 39, 46, 53

LsLssLsLssLsLssLss (MOS, not OTC)

 ||     | |    || 

LLsssLsLLsssLsssLs (OTC MODMOS, form 1) - gc 4,4,3,2; 5o

LsLssLsLssLsLssLss (MOS, not OTC)

  | |     ||  ||  

LsssLLsLsssLLsLsss (OTC MODMOS, form 2) - gc 4,4,3,2; 5o

LLsssLsLLsssLsssLs (form 1)

 |  |   |  |  | | 

LsssLLsLsssLLsLsss (form 2)

all modes, form 1:

LLsssLs LLsssLs ssLs
LsssLsL Lsss LsssLsL
sssLsLL sssL sssLsLL
ssLsLLs ssLs ssLsLLs
sLsLLss sLss sLsLLss
LsLLsss Lsss LsLLsss
sLLsssL sssL sLLsssL
LLsssLs ssLs LLsssLs
Lsss LsssLsL LsssLsL
sssL sssLsLL sssLsLL
ssLs ssLsLLs ssLsLLs
sLss sLsLLss sLsLLss
Lsss LsLLsss LsLLsss LsssLsL LsssLsL Lsss
sssL sLLsssL sLLsssL sssLsLL sssLsLL sssL
ssLs LLsssLs LLsssLs ssLsLLs ssLsLLs ssLs
sLsLLss sLsLLss sLss
LsLLsss LsLLsss Lsss
sLLsssL sLLsssL sssL

all modes, form 2:

Lsss LLsLsss LLsLsss LsssLLs LsssLLs Lsss
sssL LsLsssL LsLsssL sssLLsL sssLLsL sssL
ssLLsLs ssLLsLs ssLs
sLLsLss sLLsLss sLss
LLsLsss LLsLsss Lsss
LsLsssL LsLsssL sssL
sLsssLL sLss sLsssLL
LsssLLs Lsss LsssLLs
sssLLsL sssL sssLLsL
ssLLsLs ssLs ssLLsLs
sLLsLss sLss sLLsLss
LLsLsss Lsss LLsLsss
LsLsssL sssL LsLsssL
sLss sLsssLL sLsssLL
Lsss LsssLLs LsssLLs
sssL sssLLsL sssLLsL
ssLs ssLLsLs ssLLsLs
sLss sLLsLss sLLsLss sLsssLL sLsssLL sLss

18_07_11_sssLsLL_sssL_sssLsLL.png

See also

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