OTC 7L 17s: 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 21:55:17 UTC</tt>.<br>
[[7L_17s|7L+17s]]
: The original revision id was <tt>590989288</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 17s|7L+17s]]
24 tones (10+4+10)
24 tones (10+4+10)


[[mohajira]] / [[Neutral third scales|neutral-thirds]]; 2 forms; imperfect; best at low L/s
[[Mohajira|mohajira]] / [[Neutral_third_scales|neutral-thirds]]; 2 forms; imperfect; best at low L/s
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 0.5872804832


[[Gallery of omnitetrachordal scales#perfect|P]] = 0.5872804832
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 5.8650213288 (4/3 = 3L+6.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.8650213288 (4/3 = 3L+6.5s)


L = 50.00 to 171.43 cents (121.23 cents @ Q)
L = 50.00 to 171.43 cents (121.23 cents @ Q)
s = 0.00 to 50.00 cents (20.67 cents @ Q)
s = 0.00 to 50.00 cents (20.67 cents @ Q)


9/8 = L+3s (171.43 to 200.00 cents)
9/8 = L+3s (171.43 to 200.00 cents)
4/3 = 3L+7s (500.00 to 514.29 cents)
4/3 = 3L+7s (500.00 to 514.29 cents)
MOS generator = 2L+5s (342.86 to 350.00 cents)
MOS generator = 2L+5s (342.86 to 350.00 cents)


notable EDOs: 31, 38, 45, 55, 69
notable EDOs: 31, 38, 45, 55, 69


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


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


{{ sssLsssLssLssLsssLssLssL }} (OTC MODMOS, form 1)
<tt> sssLssLsssLssLsssLssLssL </tt> (MOS, not OTC)
{{           ||        ||   }}
{{ sssLsssLsssLsLsssLsssLsL }} (OTC MODMOS, form 2)


all modes, form 1:
<tt>       ||  ||        ||   </tt>
|| {{ sssL sssLssLssL sssLssLssL }} || || ||
|| {{ ssLs ssLssLssLs ssLssLssLs }} || || {{ ssLsssLssL ssLsssLssL ssLs }} ||
|| {{ sLss sLssLssLss sLssLssLss }} || || {{ sLsssLssLs sLsssLssLs sLss }} ||
|| {{ Lsss LssLssLsss LssLssLsss }} || || {{ LsssLssLss LsssLssLss Lsss }} ||
|| {{ sssL ssLssLsssL ssLssLsssL }} || || {{ sssLssLssL sssLssLssL sssL }} ||
|| {{ ssLs sLssLsssLs sLssLsssLs }} || || {{ ssLssLssLs ssLssLssLs ssLs }} ||
|| {{ sLss LssLsssLss LssLsssLss }} || || {{ sLssLssLss sLssLssLss sLss }} ||
|| || || {{ LssLssLsss LssLssLsss Lsss }} ||
|| || || {{ ssLssLsssL ssLssLsssL sssL }} ||
|| || || {{ sLssLsssLs sLssLsssLs ssLs }} ||
|| || || {{ LssLsssLss LssLsssLss sLss }} ||
|| || {{ ssLsssLssL ssLs ssLsssLssL }} || ||
|| || {{ sLsssLssLs sLss sLsssLssLs }} || ||
|| || {{ LsssLssLss Lsss LsssLssLss }} || ||
|| || {{ sssLssLssL sssL sssLssLssL }} || ||
|| || {{ ssLssLssLs ssLs ssLssLssLs }} || ||
|| || {{ sLssLssLss sLss sLssLssLss }} || ||
|| || {{ LssLssLsss Lsss LssLssLsss }} || ||
|| || {{ ssLssLsssL sssL ssLssLsssL }} || ||
|| || {{ sLssLsssLs ssLs sLssLsssLs }} || ||
|| || {{ LssLsssLss sLss LssLsssLss }} || ||
|| {{ ssLs ssLsssLssL ssLsssLssL }} || || ||
|| {{ sLss sLsssLssLs sLsssLssLs }} || || ||
|| {{ Lsss LsssLssLss LsssLssLss }} || || ||


all modes, form 2:
<tt> sssLsssLsssLsLsssLsssLsL </tt> (OTC MODMOS, form 2) - gc 18; 6o
|| {{ sssL sssLsssLsL sssLsssLsL }} || || ||
|| {{ ssLs ssLsssLsLs ssLsssLsLs }} || || ||
|| {{ sLss sLsssLsLss sLsssLsLss }} || || {{ sLsssLsssL sLsssLsssL sLss }} ||
|| {{ Lsss LsssLsLsss LsssLsLsss }} || || {{ LsssLsssLs LsssLsssLs Lsss }} ||
|| {{ sssL sssLsLsssL sssLsLsssL }} || || {{ sssLsssLsL sssLsssLsL sssL }} ||
|| {{ ssLs ssLsLsssLs ssLsLsssLs }} || || {{ ssLsssLsLs ssLsssLsLs ssLs }} ||
|| {{ sLss sLsLsssLss sLsLsssLss }} || || {{ sLsssLsLss sLsssLsLss sLss }} ||
|| {{ Lsss LsLsssLsss LsLsssLsss }} || || {{ LsssLsLsss LsssLsLsss Lsss }} ||
|| {{ sssL sLsssLsssL sLsssLsssL }} || || {{ sssLsLsssL sssLsLsssL sssL }} ||
|| {{ ssLs LsssLsssLs LsssLsssLs }} || || {{ ssLsLsssLs ssLsLsssLs ssLs }} ||
|| || || {{ sLsLsssLss sLsLsssLss sLss }} ||
|| || || {{ LsLsssLsss LsLsssLsss Lsss }} ||
|| || {{ sLsssLsssL sLss sLsssLsssL }} || {{ sLsssLsssL sLsssLsssL sssL }} ||
|| || {{ LsssLsssLs Lsss LsssLsssLs }} || {{ LsssLsssLs LsssLsssLs ssLs }} ||
|| || {{ sssLsssLsL sssL sssLsssLsL }} || ||
|| || {{ ssLsssLsLs ssLs ssLsssLsLs }} || ||
|| || {{ sLsssLsLss sLss sLsssLsLss }} || ||
|| || {{ LsssLsLsss Lsss LsssLsLsss }} || ||
|| || {{ sssLsLsssL sssL sssLsLsssL }} || ||
|| || {{ ssLsLsssLs ssLs ssLsLsssLs }} || ||
|| || {{ sLsLsssLss sLss sLsLsssLss }} || ||
|| || {{ LsLsssLsss Lsss LsLsssLsss }} || ||
|| {{ sLss sLsssLsssL sLsssLsssL }} || {{ sLsssLsssL sssL sLsssLsssL }} || ||
|| {{ Lsss LsssLsssLs LsssLsssLs }} || {{ LsssLsssLs ssLs LsssLsssLs }} || ||


[[image:24_07_17_LsssLssLss_Lsss_LsssLssLss.png]]
<tt> sssLsssLssLssLsssLssLssL </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 7L 17s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%2017s"&gt;7L+17s&lt;/a&gt;&lt;br /&gt;
24 tones (10+4+10)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/mohajira"&gt;mohajira&lt;/a&gt; / &lt;a class="wiki_link" href="/Neutral%20third%20scales"&gt;neutral-thirds&lt;/a&gt;; 2 forms; imperfect; best at low L/s&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 0.5872804832&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 5.8650213288 (4/3 = 3L+6.5s)&lt;br /&gt;
&lt;br /&gt;
L = 50.00 to 171.43 cents (121.23 cents @ Q)&lt;br /&gt;
s = 0.00 to 50.00 cents (20.67 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+3s (171.43 to 200.00 cents)&lt;br /&gt;
4/3 = 3L+7s (500.00 to 514.29 cents)&lt;br /&gt;
MOS generator = 2L+5s (342.86 to 350.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 31, 38, 45, 55, 69&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sssLssLsssLssLsssLssLssL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;       ||                 &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sssLsssLssLssLsssLssLssL &lt;/tt&gt; (OTC MODMOS, form 1) - gc 22; 2o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sssLssLsssLssLsssLssLssL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;       ||  ||        ||   &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sssLsssLsssLsLsssLsssLsL &lt;/tt&gt; (OTC MODMOS, form 2) - gc 18; 6o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sssLsssLssLssLsssLssLssL &lt;/tt&gt; (OTC MODMOS, form 1)&lt;br /&gt;
&lt;tt&gt;           ||        ||   &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sssLsssLsssLsLsssLsssLsL &lt;/tt&gt; (OTC MODMOS, form 2)&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


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


&lt;table class="wiki_table"&gt;
all modes, form 1:
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sssL sssLssLssL sssLssLssL &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 ssLssLssLs ssLssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsssLssL ssLsssLssL ssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLss sLssLssLss sLssLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLssLs sLsssLssLs sLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lsss LssLssLsss LssLssLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLssLss LsssLssLss Lsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sssL ssLssLsssL ssLssLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLssLssL sssLssLssL sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLs sLssLsssLs sLssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLssLs ssLssLssLs ssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLss LssLsssLss LssLsssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLssLss sLssLssLss 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; LssLssLsss LssLssLsss 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; ssLssLsssL ssLssLsssL 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; sLssLsssLs sLssLsssLs 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; LssLsssLss LssLsssLss 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;tt&gt; ssLsssLssL ssLs ssLsssLssL &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; sLsssLssLs sLss sLsssLssLs &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; LsssLssLss Lsss LsssLssLss &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; sssLssLssL sssL sssLssLssL &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; ssLssLssLs ssLs ssLssLssLs &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; sLssLssLss sLss sLssLssLss &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; LssLssLsss Lsss LssLssLsss &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; ssLssLsssL sssL ssLssLsssL &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; sLssLsssLs ssLs sLssLsssLs &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; LssLsssLss sLss LssLsssLss &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; ssLs ssLsssLssL ssLsssLssL &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 sLsssLssLs sLsssLssLs &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 LsssLssLss LsssLssLss &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 2:&lt;br /&gt;
|-
| | <tt> sssL sssLssLssL sssLssLssL </tt>
| |
| |
|-
| | <tt> ssLs ssLssLssLs ssLssLssLs </tt>
| |
| | <tt> ssLsssLssL ssLsssLssL ssLs </tt>
|-
| | <tt> sLss sLssLssLss sLssLssLss </tt>
| |
| | <tt> sLsssLssLs sLsssLssLs sLss </tt>
|-
| | <tt> Lsss LssLssLsss LssLssLsss </tt>
| |
| | <tt> LsssLssLss LsssLssLss Lsss </tt>
|-
| | <tt> sssL ssLssLsssL ssLssLsssL </tt>
| |
| | <tt> sssLssLssL sssLssLssL sssL </tt>
|-
| | <tt> ssLs sLssLsssLs sLssLsssLs </tt>
| |
| | <tt> ssLssLssLs ssLssLssLs ssLs </tt>
|-
| | <tt> sLss LssLsssLss LssLsssLss </tt>
| |
| | <tt> sLssLssLss sLssLssLss sLss </tt>
|-
| |
| |
| | <tt> LssLssLsss LssLssLsss Lsss </tt>
|-
| |
| |
| | <tt> ssLssLsssL ssLssLsssL sssL </tt>
|-
| |
| |
| | <tt> sLssLsssLs sLssLsssLs ssLs </tt>
|-
| |
| |
| | <tt> LssLsssLss LssLsssLss sLss </tt>
|-
| |
| | <tt> ssLsssLssL ssLs ssLsssLssL </tt>
| |
|-
| |
| | <tt> sLsssLssLs sLss sLsssLssLs </tt>
| |
|-
| |
| | <tt> LsssLssLss Lsss LsssLssLss </tt>
| |
|-
| |
| | <tt> sssLssLssL sssL sssLssLssL </tt>
| |
|-
| |
| | <tt> ssLssLssLs ssLs ssLssLssLs </tt>
| |
|-
| |
| | <tt> sLssLssLss sLss sLssLssLss </tt>
| |
|-
| |
| | <tt> LssLssLsss Lsss LssLssLsss </tt>
| |
|-
| |
| | <tt> ssLssLsssL sssL ssLssLsssL </tt>
| |
|-
| |
| | <tt> sLssLsssLs ssLs sLssLsssLs </tt>
| |
|-
| |
| | <tt> LssLsssLss sLss LssLsssLss </tt>
| |
|-
| | <tt> ssLs ssLsssLssL ssLsssLssL </tt>
| |
| |
|-
| | <tt> sLss sLsssLssLs sLsssLssLs </tt>
| |
| |
|-
| | <tt> Lsss LsssLssLss LsssLssLss </tt>
| |
| |
|}


all modes, form 2:


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssL sssLsssLsL sssLsssLsL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sssL sssLsssLsL sssLsssLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> ssLs ssLsssLsLs ssLsssLsLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLs ssLsssLsLs ssLsssLsLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLss sLsssLsLss sLsssLsLss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsssLsssL sLsssLsssL sLss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> Lsss LsssLsLsss LsssLsLsss </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsssLsssLs LsssLsssLs Lsss </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLss sLsssLsLss sLsssLsLss &lt;/tt&gt;&lt;br /&gt;
| | <tt> sssL sssLsLsssL sssLsLsssL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sssLsssLsL sssLsssLsL sssL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsssLsssL sLsssLsssL sLss &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLs ssLsLsssLs ssLsLsssLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> ssLsssLsLs ssLsssLsLs ssLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; Lsss LsssLsLsss LsssLsLsss &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLss sLsLsssLss sLsLsssLss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsssLsLss sLsssLsLss sLss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsssLsssLs LsssLsssLs Lsss &lt;/tt&gt;&lt;br /&gt;
| | <tt> Lsss LsLsssLsss LsLsssLsss </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsssLsLsss LsssLsLsss Lsss </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssL sssLsLsssL sssLsLsssL &lt;/tt&gt;&lt;br /&gt;
| | <tt> sssL sLsssLsssL sLsssLsssL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sssLsLsssL sssLsLsssL sssL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssLsssLsL sssLsssLsL sssL &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLs LsssLsssLs LsssLsssLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> ssLsLsssLs ssLsLsssLs ssLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLs ssLsLsssLs ssLsLsssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsLsssLss sLsLsssLss sLss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLsssLsLs ssLsssLsLs ssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLsssLsss LsLsssLsss Lsss </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLss sLsLsssLss sLsLsssLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsssLsssL sLss sLsssLsssL </tt>
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsssLsssL sLsssLsssL sssL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsssLsLss sLsssLsLss sLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsssLsssLs Lsss LsssLsssLs </tt>
    &lt;/tr&gt;
| | <tt> LsssLsssLs LsssLsssLs ssLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; Lsss LsLsssLsss LsLsssLsss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sssLsssLsL sssL sssLsssLsL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsssLsLsss LsssLsLsss Lsss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssLsssLsLs ssLs ssLsssLsLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssL sLsssLsssL sLsssLsssL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsssLsLss sLss sLsssLsLss </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssLsLsssL sssLsLsssL sssL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsssLsLsss Lsss LsssLsLsss </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLs LsssLsssLs LsssLsssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sssLsLsssL sssL sssLsLsssL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLsLsssLs ssLsLsssLs ssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssLsLsssLs ssLs ssLsLsssLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLsssLss sLss sLsLsssLss </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsLsssLss sLsLsssLss sLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLsssLsss Lsss LsLsssLsss </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLss sLsssLsssL sLsssLsssL </tt>
&lt;/td&gt;
| | <tt> sLsssLsssL sssL sLsssLsssL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLsssLsss LsLsssLsss Lsss &lt;/tt&gt;&lt;br /&gt;
| | <tt> Lsss LsssLsssLs LsssLsssLs </tt>
&lt;/td&gt;
| | <tt> LsssLsssLs ssLs LsssLsssLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|}
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLsssL sLss sLsssLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLsssL sLsssLsssL 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; LsssLsssLs Lsss LsssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLsssLs LsssLsssLs 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;tt&gt; sssLsssLsL sssL sssLsssLsL &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; ssLsssLsLs ssLs ssLsssLsLs &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; sLsssLsLss sLss sLsssLsLss &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; LsssLsLsss Lsss LsssLsLsss &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; sssLsLsssL sssL sssLsLsssL &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; ssLsLsssLs ssLs ssLsLsssLs &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; sLsLsssLss sLss sLsLsssLss &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; LsLsssLsss Lsss LsLsssLsss &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 sLsssLsssL sLsssLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLsssL sssL sLsssLsssL &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; Lsss LsssLsssLs LsssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLsssLs ssLs LsssLsssLs &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;
[[File:24_07_17_LsssLssLss_Lsss_LsssLssLss.png|alt=24_07_17_LsssLssLss_Lsss_LsssLssLss.png|24_07_17_LsssLssLss_Lsss_LsssLssLss.png]]
&lt;!-- ws:start:WikiTextLocalImageRule:396:&amp;lt;img src=&amp;quot;/file/view/24_07_17_LsssLssLss_Lsss_LsssLssLss.png/590988874/24_07_17_LsssLssLss_Lsss_LsssLssLss.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/24_07_17_LsssLssLss_Lsss_LsssLssLss.png/590988874/24_07_17_LsssLssLss_Lsss_LsssLssLss.png" alt="24_07_17_LsssLssLss_Lsss_LsssLssLss.png" title="24_07_17_LsssLssLss_Lsss_LsssLssLss.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>
[[Category:24-tone scales]]
[[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]]
[[Category:MODMOS]]
[[Category:Omnitetrachordal]]
[[Category:Mohajira]]
[[Category:Neutral]]

Latest revision as of 03:10, 24 June 2025

Omnitetrachordal MODMOS scale

7L+17s

24 tones (10+4+10)

mohajira / neutral-thirds; 2 forms; imperfect; best at low L/s

P = 0.5872804832

Q = 5.8650213288 (4/3 = 3L+6.5s)

L = 50.00 to 171.43 cents (121.23 cents @ Q)

s = 0.00 to 50.00 cents (20.67 cents @ Q)

9/8 = L+3s (171.43 to 200.00 cents)

4/3 = 3L+7s (500.00 to 514.29 cents)

MOS generator = 2L+5s (342.86 to 350.00 cents)

notable EDOs: 31, 38, 45, 55, 69

sssLssLsssLssLsssLssLssL (MOS, not OTC)

      ||                

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

sssLssLsssLssLsssLssLssL (MOS, not OTC)

      ||  ||        ||  

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

sssLsssLssLssLsssLssLssL (OTC MODMOS, form 1)

          ||        ||  

sssLsssLsssLsLsssLsssLsL (OTC MODMOS, form 2)

all modes, form 1:

sssL sssLssLssL sssLssLssL
ssLs ssLssLssLs ssLssLssLs ssLsssLssL ssLsssLssL ssLs
sLss sLssLssLss sLssLssLss sLsssLssLs sLsssLssLs sLss
Lsss LssLssLsss LssLssLsss LsssLssLss LsssLssLss Lsss
sssL ssLssLsssL ssLssLsssL sssLssLssL sssLssLssL sssL
ssLs sLssLsssLs sLssLsssLs ssLssLssLs ssLssLssLs ssLs
sLss LssLsssLss LssLsssLss sLssLssLss sLssLssLss sLss
LssLssLsss LssLssLsss Lsss
ssLssLsssL ssLssLsssL sssL
sLssLsssLs sLssLsssLs ssLs
LssLsssLss LssLsssLss sLss
ssLsssLssL ssLs ssLsssLssL
sLsssLssLs sLss sLsssLssLs
LsssLssLss Lsss LsssLssLss
sssLssLssL sssL sssLssLssL
ssLssLssLs ssLs ssLssLssLs
sLssLssLss sLss sLssLssLss
LssLssLsss Lsss LssLssLsss
ssLssLsssL sssL ssLssLsssL
sLssLsssLs ssLs sLssLsssLs
LssLsssLss sLss LssLsssLss
ssLs ssLsssLssL ssLsssLssL
sLss sLsssLssLs sLsssLssLs
Lsss LsssLssLss LsssLssLss

all modes, form 2:

sssL sssLsssLsL sssLsssLsL
ssLs ssLsssLsLs ssLsssLsLs
sLss sLsssLsLss sLsssLsLss sLsssLsssL sLsssLsssL sLss
Lsss LsssLsLsss LsssLsLsss LsssLsssLs LsssLsssLs Lsss
sssL sssLsLsssL sssLsLsssL sssLsssLsL sssLsssLsL sssL
ssLs ssLsLsssLs ssLsLsssLs ssLsssLsLs ssLsssLsLs ssLs
sLss sLsLsssLss sLsLsssLss sLsssLsLss sLsssLsLss sLss
Lsss LsLsssLsss LsLsssLsss LsssLsLsss LsssLsLsss Lsss
sssL sLsssLsssL sLsssLsssL sssLsLsssL sssLsLsssL sssL
ssLs LsssLsssLs LsssLsssLs ssLsLsssLs ssLsLsssLs ssLs
sLsLsssLss sLsLsssLss sLss
LsLsssLsss LsLsssLsss Lsss
sLsssLsssL sLss sLsssLsssL sLsssLsssL sLsssLsssL sssL
LsssLsssLs Lsss LsssLsssLs LsssLsssLs LsssLsssLs ssLs
sssLsssLsL sssL sssLsssLsL
ssLsssLsLs ssLs ssLsssLsLs
sLsssLsLss sLss sLsssLsLss
LsssLsLsss Lsss LsssLsLsss
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See also

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