OTC 10L 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>2016-08-31 20:45:02 UTC</tt>.<br>
[[10L_7s|10L+7s]]
: The original revision id was <tt>590700468</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
[[10L 7s|10L+7s]]
17 tones (7+3+7)
17 tones (7+3+7)


Beatles? / [[Dicot family|dicot]]? MODMOS; 2 forms; imperfect
Beatles? / [[Dicot_family|dicot]]? MODMOS; 2 forms; imperfect
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 0.6300083763


[[Gallery of omnitetrachordal scales#perfect|P]] = 0.6300083763
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 3.9550293172 (4/3 = 4L+3.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.9550293172 (4/3 = 4L+3.5s)


L = 70.59 to 120.00 cents (101.95 cents @ Q)
L = 70.59 to 120.00 cents (101.95 cents @ Q)
s = 0.00 to 70.59 cents (25.78 cents @ Q)
s = 0.00 to 70.59 cents (25.78 cents @ Q)


9/8 = 2L+s (211.76 to 240.00 cents)
9/8 = 2L+s (211.76 to 240.00 cents)
4/3 = 4L+3s (480.00 to 494.12 cents)
4/3 = 4L+3s (480.00 to 494.12 cents)
MOS generator = 3L+2s (352.9 to 360.0 cents)
MOS generator = 3L+2s (352.9 to 360.0 cents)


notable EDOs: 27, 37, 44, 61
notable EDOs: 27, 37, 44, 61


{{ sLsLsLLsLsLLsLsLL }} (MOS, not OTC)
<tt> sLsLsLLsLsLLsLsLL </tt> (MOS, not OTC)
{{            ||     }}
{{ sLsLsLLsLsLsLLsLL }} (OTC MODMOS, form 1) - gc 15; 2o


<tt>            ||     </tt>


{{ sLsLsLLsLsLLsLsLL }} (MOS, not OTC)
<tt> sLsLsLLsLsLsLLsLL </tt> (OTC MODMOS, form 1) - gc 15; 2o
{{  ||     || ||     }}
{{ ssLLsLLssLLsLLsLL }} (OTC MODMOS, form 2) - gc 11; 6o


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


{{ LsLsLsLLsLLsLsLsL }} (OTC MODMOS, form 1)
<tt>  ||     || ||     </tt>
{{    ||       ||    }}
{{ LsLLssLLsLLssLLsL }} (OTC MODMOS, form 2)


<tt> ssLLsLLssLLsLLsLL </tt> (OTC MODMOS, form 2) - gc 11; 6o


symmetric modes:
<tt> LsLsLsLLsLLsLsLsL </tt> (OTC MODMOS, form 1)
{{ LsLsLsLLsLLsLsLsL }} (form 1)
{{ LsLLssLLsLLssLLsL }} (form 2)


<tt>    ||       ||    </tt>


all modes, form 1:
<tt> LsLLssLLsLLssLLsL </tt> (OTC MODMOS, form 2)
|| || {{ LsLsLsL LsL LsLsLsL }} || ||
|| || {{ sLsLsLL sLL sLsLsLL }} || ||
|| || {{ LsLsLLs LLs LsLsLLs }} || ||
|| || {{ sLsLLsL LsL sLsLLsL }} || ||
|| {{ LsL LsLLsLs LsLLsLs }} || || ||
|| {{ sLL sLLsLsL sLLsLsL }} || || ||
|| {{ LLs LLsLsLs LLsLsLs }} || || ||
|| {{ LsL LsLsLsL LsLsLsL }} || || {{ LsLLsLs LsLLsLs LsL }} ||
|| {{ sLL sLsLsLL sLsLsLL }} || || {{ sLLsLsL sLLsLsL sLL }} ||
|| {{ LLs LsLsLLs LsLsLLs }} || || {{ LLsLsLs LLsLsLs LLs }} ||
|| {{ LsL sLsLLsL sLsLLsL }} || || {{ LsLsLsL LsLsLsL LsL }} ||
|| || || {{ sLsLsLL sLsLsLL sLL }} ||
|| || || {{ LsLsLLs LsLsLLs LLs }} ||
|| || || {{ sLsLLsL sLsLLsL LsL }} ||
|| || {{ LsLLsLs LsL LsLLsLs }} || ||
|| || {{ sLLsLsL sLL sLLsLsL }} || ||
|| || {{ LLsLsLs LLs LLsLsLs }} || ||


symmetric modes:


all modes, form 2:
<tt> LsLsLsLLsLLsLsLsL </tt> (form 1)
|| {{ LsL LssLLsL LssLLsL }} || || {{ LsLLssL LsLLssL LsL }} ||
|| {{ sLL ssLLsLL ssLLsLL }} || || {{ sLLssLL sLLssLL sLL }} ||
|| {{ LLs sLLsLLs sLLsLLs }} || || {{ LLssLLs LLssLLs LLs }} ||
|| || || {{ LssLLsL LssLLsL LsL }} ||
|| || || {{ ssLLsLL ssLLsLL sLL }} ||
|| || {{ sLLsLLs sLL sLLsLLs }} || {{ sLLsLLs sLLsLLs LLs }} ||
|| || {{ LLsLLss LLs LLsLLss }} || ||
|| || {{ LsLLssL LsL LsLLssL }} || ||
|| || {{ sLLssLL sLL sLLssLL }} || ||
|| || {{ LLssLLs LLs LLssLLs }} || ||
|| || {{ LssLLsL LsL LssLLsL }} || ||
|| || {{ ssLLsLL sLL ssLLsLL }} || ||
|| {{ sLL sLLsLLs sLLsLLs }} || {{ sLLsLLs LLs sLLsLLs }} || ||
|| {{ LLs LLsLLss LLsLLss }} || || ||
|| {{ LsL LsLLssL LsLLssL }} || || ||
|| {{ sLL sLLssLL sLLssLL }} || || {{ sLLsLLs sLLsLLs sLL }} ||
|| {{ LLs LLssLLs LLssLLs }} || || {{ LLsLLss LLsLLss LLs }} ||


[[image:17_10_07_sLLsLLs_LLs_sLLsLLs.png]]
<tt> LsLLssLLsLLssLLsL </tt> (form 2)


===See also===
all modes, 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 10L 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/10L%207s"&gt;10L+7s&lt;/a&gt;&lt;br /&gt;
17 tones (7+3+7)&lt;br /&gt;
&lt;br /&gt;
Beatles? / &lt;a class="wiki_link" href="/Dicot%20family"&gt;dicot&lt;/a&gt;? MODMOS; 2 forms; imperfect&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 0.6300083763&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 3.9550293172 (4/3 = 4L+3.5s)&lt;br /&gt;
&lt;br /&gt;
L = 70.59 to 120.00 cents (101.95 cents @ Q)&lt;br /&gt;
s = 0.00 to 70.59 cents (25.78 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+s (211.76 to 240.00 cents)&lt;br /&gt;
4/3 = 4L+3s (480.00 to 494.12 cents)&lt;br /&gt;
MOS generator = 3L+2s (352.9 to 360.0 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 27, 37, 44, 61&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLLsLsLLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;            ||     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sLsLsLLsLsLsLLsLL &lt;/tt&gt; (OTC MODMOS, form 1) - gc 15; 2o&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLLsLsLLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||     || ||     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLsLLssLLsLLsLL &lt;/tt&gt; (OTC MODMOS, form 2) - gc 11; 6o&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLsLsLLsLLsLsLsL &lt;/tt&gt; (OTC MODMOS, form 1)&lt;br /&gt;
&lt;tt&gt;    ||       ||    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsLLssLLsLLssLLsL &lt;/tt&gt; (OTC MODMOS, form 2)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
symmetric modes:&lt;br /&gt;
&lt;tt&gt; LsLsLsLLsLLsLsLsL &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;tt&gt; LsLLssLLsLLssLLsL &lt;/tt&gt; (form 2)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> LsLsLsL LsL LsLsLsL </tt>
| |
|-
| |
| | <tt> sLsLsLL sLL sLsLsLL </tt>
| |
|-
| |
| | <tt> LsLsLLs LLs LsLsLLs </tt>
| |
|-
| |
| | <tt> sLsLLsL LsL sLsLLsL </tt>
| |
|-
| | <tt> LsL LsLLsLs LsLLsLs </tt>
| |
| |
|-
| | <tt> sLL sLLsLsL sLLsLsL </tt>
| |
| |
|-
| | <tt> LLs LLsLsLs LLsLsLs </tt>
| |
| |
|-
| | <tt> LsL LsLsLsL LsLsLsL </tt>
| |
| | <tt> LsLLsLs LsLLsLs LsL </tt>
|-
| | <tt> sLL sLsLsLL sLsLsLL </tt>
| |
| | <tt> sLLsLsL sLLsLsL sLL </tt>
|-
| | <tt> LLs LsLsLLs LsLsLLs </tt>
| |
| | <tt> LLsLsLs LLsLsLs LLs </tt>
|-
| | <tt> LsL sLsLLsL sLsLLsL </tt>
| |
| | <tt> LsLsLsL LsLsLsL LsL </tt>
|-
| |
| |
| | <tt> sLsLsLL sLsLsLL sLL </tt>
|-
| |
| |
| | <tt> LsLsLLs LsLsLLs LLs </tt>
|-
| |
| |
| | <tt> sLsLLsL sLsLLsL LsL </tt>
|-
| |
| | <tt> LsLLsLs LsL LsLLsLs </tt>
| |
|-
| |
| | <tt> sLLsLsL sLL sLLsLsL </tt>
| |
|-
| |
| | <tt> LLsLsLs LLs LLsLsLs </tt>
| |
|}


&lt;table class="wiki_table"&gt;
all modes, form 2:
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsL LsL LsLsLsL &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; sLsLsLL sLL sLsLsLL &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; LsLsLLs LLs LsLsLLs &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; sLsLLsL LsL sLsLLsL &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; LsL LsLLsLs LsLLsLs &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; sLL sLLsLsL sLLsLsL &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; LLs LLsLsLs LLsLsLs &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; LsL LsLsLsL LsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLs LsLLsLs LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL sLsLsLL sLsLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLsL sLLsLsL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LsLsLLs LsLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLsLs LLsLsLs LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL sLsLLsL sLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsL LsLsLsL LsL &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; sLsLsLL sLsLsLL sLL &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; LsLsLLs LsLsLLs LLs &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; sLsLLsL sLsLLsL LsL &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; LsLLsLs LsL LsLLsLs &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; sLLsLsL sLL sLLsLsL &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; LLsLsLs LLs LLsLsLs &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;
{| class="wikitable"
&lt;br /&gt;
|-
all modes, form 2:&lt;br /&gt;
| | <tt> LsL LssLLsL LssLLsL </tt>
| |
| | <tt> LsLLssL LsLLssL LsL </tt>
|-
| | <tt> sLL ssLLsLL ssLLsLL </tt>
| |
| | <tt> sLLssLL sLLssLL sLL </tt>
|-
| | <tt> LLs sLLsLLs sLLsLLs </tt>
| |
| | <tt> LLssLLs LLssLLs LLs </tt>
|-
| |
| |
| | <tt> LssLLsL LssLLsL LsL </tt>
|-
| |
| |
| | <tt> ssLLsLL ssLLsLL sLL </tt>
|-
| |
| | <tt> sLLsLLs sLL sLLsLLs </tt>
| | <tt> sLLsLLs sLLsLLs LLs </tt>
|-
| |
| | <tt> LLsLLss LLs LLsLLss </tt>
| |
|-
| |
| | <tt> LsLLssL LsL LsLLssL </tt>
| |
|-
| |
| | <tt> sLLssLL sLL sLLssLL </tt>
| |
|-
| |
| | <tt> LLssLLs LLs LLssLLs </tt>
| |
|-
| |
| | <tt> LssLLsL LsL LssLLsL </tt>
| |
|-
| |
| | <tt> ssLLsLL sLL ssLLsLL </tt>
| |
|-
| | <tt> sLL sLLsLLs sLLsLLs </tt>
| | <tt> sLLsLLs LLs sLLsLLs </tt>
| |
|-
| | <tt> LLs LLsLLss LLsLLss </tt>
| |
| |
|-
| | <tt> LsL LsLLssL LsLLssL </tt>
| |
| |
|-
| | <tt> sLL sLLssLL sLLssLL </tt>
| |
| | <tt> sLLsLLs sLLsLLs sLL </tt>
|-
| | <tt> LLs LLssLLs LLssLLs </tt>
| |
| | <tt> LLsLLss LLsLLss LLs </tt>
|}


[[File:17_10_07_sLLsLLs_LLs_sLLsLLs.png|alt=17_10_07_sLLsLLs_LLs_sLLsLLs.png|17_10_07_sLLsLLs_LLs_sLLsLLs.png]]


&lt;table class="wiki_table"&gt;
===See also===
    &lt;tr&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
        &lt;td&gt;&lt;tt&gt; LsL LssLLsL LssLLsL &lt;/tt&gt;&lt;br /&gt;
[[Category:17-tone scales]]
&lt;/td&gt;
[[Category:Tempered scales]]
        &lt;td&gt;&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
&lt;/td&gt;
[[Category:MODMOS]]
        &lt;td&gt;&lt;tt&gt; LsLLssL LsLLssL LsL &lt;/tt&gt;&lt;br /&gt;
[[Category:Omnitetrachordal]]
&lt;/td&gt;
[[Category:Beatles]]
    &lt;/tr&gt;
[[Category:Dicot]]
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL ssLLsLL ssLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLssLL sLLssLL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs sLLsLLs sLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLssLLs LLssLLs LLs &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; LssLLsL LssLLsL LsL &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; ssLLsLL ssLLsLL sLL &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; sLLsLLs sLL sLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLs sLLsLLs LLs &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; LLsLLss LLs LLsLLss &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; LsLLssL LsL LsLLssL &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; sLLssLL sLL sLLssLL &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; LLssLLs LLs LLssLLs &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; LssLLsL LsL LssLLsL &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; ssLLsLL sLL ssLLsLL &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; sLL sLLsLLs sLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLs LLs sLLsLLs &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; LLs LLsLLss LLsLLss &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; LsL LsLLssL LsLLssL &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; sLL sLLssLL sLLssLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLs sLLsLLs sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LLssLLs LLssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLss LLsLLss LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:284:&amp;lt;img src=&amp;quot;/file/view/17_10_07_sLLsLLs_LLs_sLLsLLs.png/589273872/17_10_07_sLLsLLs_LLs_sLLsLLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17_10_07_sLLsLLs_LLs_sLLsLLs.png/589273872/17_10_07_sLLsLLs_LLs_sLLsLLs.png" alt="17_10_07_sLLsLLs_LLs_sLLsLLs.png" title="17_10_07_sLLsLLs_LLs_sLLsLLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:284 --&gt;&lt;br /&gt;
&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>

Latest revision as of 03:02, 24 June 2025

Omnitetrachordal MODMOS scale

10L+7s

17 tones (7+3+7)

Beatles? / dicot? MODMOS; 2 forms; imperfect

P = 0.6300083763

Q = 3.9550293172 (4/3 = 4L+3.5s)

L = 70.59 to 120.00 cents (101.95 cents @ Q)

s = 0.00 to 70.59 cents (25.78 cents @ Q)

9/8 = 2L+s (211.76 to 240.00 cents)

4/3 = 4L+3s (480.00 to 494.12 cents)

MOS generator = 3L+2s (352.9 to 360.0 cents)

notable EDOs: 27, 37, 44, 61

sLsLsLLsLsLLsLsLL (MOS, not OTC)

           ||    

sLsLsLLsLsLsLLsLL (OTC MODMOS, form 1) - gc 15; 2o

sLsLsLLsLsLLsLsLL (MOS, not OTC)

 ||     || ||    

ssLLsLLssLLsLLsLL (OTC MODMOS, form 2) - gc 11; 6o

LsLsLsLLsLLsLsLsL (OTC MODMOS, form 1)

   ||       ||   

LsLLssLLsLLssLLsL (OTC MODMOS, form 2)

symmetric modes:

LsLsLsLLsLLsLsLsL (form 1)

LsLLssLLsLLssLLsL (form 2)

all modes, form 1:

LsLsLsL LsL LsLsLsL
sLsLsLL sLL sLsLsLL
LsLsLLs LLs LsLsLLs
sLsLLsL LsL sLsLLsL
LsL LsLLsLs LsLLsLs
sLL sLLsLsL sLLsLsL
LLs LLsLsLs LLsLsLs
LsL LsLsLsL LsLsLsL LsLLsLs LsLLsLs LsL
sLL sLsLsLL sLsLsLL sLLsLsL sLLsLsL sLL
LLs LsLsLLs LsLsLLs LLsLsLs LLsLsLs LLs
LsL sLsLLsL sLsLLsL LsLsLsL LsLsLsL LsL
sLsLsLL sLsLsLL sLL
LsLsLLs LsLsLLs LLs
sLsLLsL sLsLLsL LsL
LsLLsLs LsL LsLLsLs
sLLsLsL sLL sLLsLsL
LLsLsLs LLs LLsLsLs

all modes, form 2:

LsL LssLLsL LssLLsL LsLLssL LsLLssL LsL
sLL ssLLsLL ssLLsLL sLLssLL sLLssLL sLL
LLs sLLsLLs sLLsLLs LLssLLs LLssLLs LLs
LssLLsL LssLLsL LsL
ssLLsLL ssLLsLL sLL
sLLsLLs sLL sLLsLLs sLLsLLs sLLsLLs LLs
LLsLLss LLs LLsLLss
LsLLssL LsL LsLLssL
sLLssLL sLL sLLssLL
LLssLLs LLs LLssLLs
LssLLsL LsL LssLLsL
ssLLsLL sLL ssLLsLL
sLL sLLsLLs sLLsLLs sLLsLLs LLs sLLsLLs
LLs LLsLLss LLsLLss
LsL LsLLssL LsLLssL
sLL sLLssLL sLLssLL sLLsLLs sLLsLLs sLL
LLs LLssLLs LLssLLs LLsLLss LLsLLss LLs

17_10_07_sLLsLLs_LLs_sLLsLLs.png

See also

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