OTC 7L 14s: 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 21:49:37 UTC</tt>.<br>
[[7L_14s|7L+14s]]
: The original revision id was <tt>590989134</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 14s|7L+14s]]
21 tones (9+3+9)
21 tones (9+3+9)


[[Apotome family|whitewood]]; requires high L/s; 2 forms
[[Apotome_family|whitewood]]; requires high L/s; 2 forms
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]]<span style="vertical-align: sub;">2</span> = 3.2777408456 (4/3 = 3L+5.5s)
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 8.5554816911
 
Q<span style="vertical-align: sub;">1</span> = 13.8332225367 (4/3 = 3L+4.5s)


[[Gallery of omnitetrachordal scales#Q|Q]]&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt; ``=`` 3.2777408456 (4/3 = 3L+5.5s)
L = 57.14 to 171.43 cents (106.47 cents @ Q<span style="vertical-align: sub;">2</span>, 138.95 cents @ P, 149.77 cents @ Q<span style="vertical-align: sub;">1</span>)
[[Gallery of omnitetrachordal scales#perfect|P]] = 8.5554816911
Q&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt; ``=`` 13.8332225367 (4/3 = 3L+4.5s)


L = 57.14 to 171.43 cents (106.47 cents @ Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt;, 138.95 cents @ P, 149.77 cents @ Q&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt;)
s = 0.00 to 57.14 cents (32.48 cents @ Q<span style="vertical-align: sub;">1</span>, 16.24 cents @ P, 10.83 cents @ Q<span style="vertical-align: sub;">2</span>)
s = 0.00 to 57.14 cents (32.48 cents @ Q&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt;, 16.24 cents @ P, 10.83 cents @ Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt;)


9/8 = L+4s (171.43 to 285.71 cents)
9/8 = L+4s (171.43 to 285.71 cents)
4/3 = 3L+5s (457.14 to 514.29 cents)
4/3 = 3L+5s (457.14 to 514.29 cents)
MOS generator: s (0.00 to 57.14 cents)
MOS generator: s (0.00 to 57.14 cents)
MOS period: 1/7 octave (171.43 cents)
MOS period: 1/7 octave (171.43 cents)


notable EDOs: 42, 49, 56
notable EDOs: 42, 49, 56


{{ ssLssLssLssLssLssLssL }} (MOS, not OTC)
<tt> ssLssLssLssLssLssLssL </tt> (MOS, not OTC)
{{  ||  ||  | |    |   | }}
 
{{ sLssssLsLLssssLsLLsss }} (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o
<tt>  ||  ||  | |    |   | </tt>
 
<tt> sLssssLsLLssssLsLLsss </tt> (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o


{{ ssLssLssLssLssLssLssL }} (MOS, not OTC)
<tt> ssLssLssLssLssLssLssL </tt> (MOS, not OTC)
{{  ||  || |   |    | |  }}
{{ sLssssLssssLLsLssssLL }} (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o


{{ ssssLssssLsLLssssLsLL }} (form 1)
<tt>  ||  || |   |    | |  </tt>
{{           ||      ||  }}
{{ ssssLssssLLsLssssLLsL }} (form 2)


all modes, form 1:
<tt> sLssssLssssLLsLssssLL </tt> (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o
|| {{ ssssL ssssLsLL ssssLsLL }} || || ||
|| {{ sssLs sssLsLLs sssLsLLs }} || || ||
|| {{ ssLss ssLsLLss ssLsLLss }} || || ||
|| {{ sLsss sLsLLsss sLsLLsss }} || || ||
|| {{ Lssss LsLLssss LsLLssss }} || || {{ LssssLsL LssssLsL Lssss }} ||
|| {{ ssssL sLLssssL sLLssssL }} || || {{ ssssLsLL ssssLsLL ssssL }} ||
|| {{ sssLs LLssssLs LLssssLs }} || || {{ sssLsLLs sssLsLLs sssLs }} ||
|| || || {{ ssLsLLss ssLsLLss ssLss }} ||
|| || || {{ sLsLLsss sLsLLsss sLsss }} ||
|| || || {{ LsLLssss LsLLssss Lssss }} ||
|| || || {{ sLLssssL sLLssssL ssssL }} ||
|| || || {{ LLssssLs LLssssLs sssLs }} ||
|| || {{ LssssLsL Lssss LssssLsL }} || ||
|| || {{ ssssLsLL ssssL ssssLsLL }} || ||
|| || {{ sssLsLLs sssLs sssLsLLs }} || ||
|| || {{ ssLsLLss ssLss ssLsLLss }} || ||
|| || {{ sLsLLsss sLsss sLsLLsss }} || ||
|| || {{ LsLLssss Lssss LsLLssss }} || ||
|| || {{ sLLssssL ssssL sLLssssL }} || ||
|| || {{ LLssssLs sssLs LLssssLs }} || ||
|| {{ Lssss LssssLsL LssssLsL }} || || ||


all modes, form 2:
<tt> ssssLssssLsLLssssLsLL </tt> (form 1)
|| {{ ssssL ssssLLsL ssssLLsL }} || || ||
|| {{ sssLs sssLLsLs sssLLsLs }} || || ||
|| {{ ssLss ssLLsLss ssLLsLss }} || || ||
|| {{ sLsss sLLsLsss sLLsLsss }} || || {{ sLssssLL sLssssLL sLsss }} ||
|| {{ Lssss LLsLssss LLsLssss }} || || {{ LssssLLs LssssLLs Lssss }} ||
|| {{ ssssL LsLssssL LsLssssL }} || || {{ ssssLLsL ssssLLsL ssssL }} ||
|| || || {{ sssLLsLs sssLLsLs sssLs }} ||
|| || || {{ ssLLsLss ssLLsLss ssLss }} ||
|| || || {{ sLLsLsss sLLsLsss sLsss }} ||
|| || || {{ LLsLssss LLsLssss Lssss }} ||
|| || || {{ LsLssssL LsLssssL ssssL }} ||
|| || {{ sLssssLL sLsss sLssssLL }} || ||
|| || {{ LssssLLs Lssss LssssLLs }} || ||
|| || {{ ssssLLsL ssssL ssssLLsL }} || ||
|| || {{ sssLLsLs sssLs sssLLsLs }} || ||
|| || {{ ssLLsLss ssLss ssLLsLss }} || ||
|| || {{ sLLsLsss sLsss sLLsLsss }} || ||
|| || {{ LLsLssss Lssss LLsLssss }} || ||
|| || {{ LsLssssL ssssL LsLssssL }} || ||
|| {{ sLsss sLssssLL sLssssLL }} || || ||
|| {{ Lssss LssssLLs LssssLLs }} || || ||


[[image:21_07_14_ssLsLLsss_sLs_sssLsLLss.png]]
<tt>           ||      ||  </tt>


===See also===
<tt> ssssLssssLLsLssssLLsL </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 14s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%2014s"&gt;7L+14s&lt;/a&gt;&lt;br /&gt;
21 tones (9+3+9)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Apotome%20family"&gt;whitewood&lt;/a&gt;; requires high L/s; 2 forms&lt;br /&gt;
&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;2&lt;/span&gt; &lt;!-- ws:start:WikiTextRawRule:00:``=`` --&gt;=&lt;!-- ws:end:WikiTextRawRule:00 --&gt; 3.2777408456 (4/3 = 3L+5.5s)&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 8.5554816911&lt;br /&gt;
Q&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt; &lt;!-- ws:start:WikiTextRawRule:01:``=`` --&gt;=&lt;!-- ws:end:WikiTextRawRule:01 --&gt; 13.8332225367 (4/3 = 3L+4.5s)&lt;br /&gt;
&lt;br /&gt;
L = 57.14 to 171.43 cents (106.47 cents @ Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt;, 138.95 cents @ P, 149.77 cents @ Q&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt;)&lt;br /&gt;
s = 0.00 to 57.14 cents (32.48 cents @ Q&lt;span style="vertical-align: sub;"&gt;1&lt;/span&gt;, 16.24 cents @ P, 10.83 cents @ Q&lt;span style="vertical-align: sub;"&gt;2&lt;/span&gt;)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+4s (171.43 to 285.71 cents)&lt;br /&gt;
4/3 = 3L+5s (457.14 to 514.29 cents)&lt;br /&gt;
MOS generator: s (0.00 to 57.14 cents)&lt;br /&gt;
MOS period: 1/7 octave (171.43 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 42, 49, 56&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; ssLssLssLssLssLssLssL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||  ||  | |    |   | &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sLssssLsLLssssLsLLsss &lt;/tt&gt; (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; ssLssLssLssLssLssLssL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||  || |   |    | |  &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sLssssLssssLLsLssssLL &lt;/tt&gt; (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; ssssLssssLsLLssssLsLL &lt;/tt&gt; (form 1) &lt;br /&gt;
&lt;tt&gt;           ||      ||  &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssssLssssLLsLssssLLsL &lt;/tt&gt; (form 2)&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


all modes, form 1:


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssssL ssssLsLL ssssLsLL &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssssL ssssLsLL ssssLsLL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sssLs sssLsLLs sssLsLLs </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssLs sssLsLLs sssLsLLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> ssLss ssLsLLss ssLsLLss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsss sLsLLsss sLsLLsss </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLss ssLsLLss ssLsLLss &lt;/tt&gt;&lt;br /&gt;
| | <tt> Lssss LsLLssss LsLLssss </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> LssssLsL LssssLsL Lssss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> ssssL sLLssssL sLLssssL </tt>
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> ssssLsLL ssssLsLL ssssL </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsss sLsLLsss sLsLLsss &lt;/tt&gt;&lt;br /&gt;
| | <tt> sssLs LLssssLs LLssssLs </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sssLsLLs sssLsLLs sssLs </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> ssLsLLss ssLsLLss ssLss </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; Lssss LsLLssss LsLLssss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLsLLsss sLsLLsss sLsss </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LssssLsL LssssLsL Lssss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LsLLssss LsLLssss Lssss </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssssL sLLssssL sLLssssL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| | <tt> sLLssssL sLLssssL ssssL </tt>
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssssLsLL ssssLsLL ssssL &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| |
    &lt;/tr&gt;
| | <tt> LLssssLs LLssssLs sssLs </tt>
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssLs LLssssLs LLssssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LssssLsL Lssss LssssLsL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sssLsLLs sssLsLLs sssLs &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssssLsLL ssssL ssssLsLL </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sssLsLLs sssLs sssLsLLs </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; ssLsLLss ssLsLLss ssLss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> ssLsLLss ssLss ssLsLLss </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLsLLsss sLsss sLsLLsss </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; sLsLLsss sLsLLsss sLsss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LsLLssss Lssss LsLLssss </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> sLLssssL ssssL sLLssssL </tt>
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|-
        &lt;td&gt;&lt;tt&gt; LsLLssss LsLLssss Lssss &lt;/tt&gt;&lt;br /&gt;
| |
&lt;/td&gt;
| | <tt> LLssssLs sssLs LLssssLs </tt>
    &lt;/tr&gt;
| |
    &lt;tr&gt;
|-
        &lt;td&gt;&lt;br /&gt;
| | <tt> Lssss LssssLsL LssssLsL </tt>
&lt;/td&gt;
| |
        &lt;td&gt;&lt;br /&gt;
| |
&lt;/td&gt;
|}
        &lt;td&gt;&lt;tt&gt; sLLssssL sLLssssL ssssL &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; LLssssLs LLssssLs sssLs &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; LssssLsL Lssss LssssLsL &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; ssssLsLL ssssL ssssLsLL &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; sssLsLLs sssLs sssLsLLs &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; ssLsLLss ssLss ssLsLLss &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; sLsLLsss sLsss sLsLLsss &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; LsLLssss Lssss LsLLssss &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; sLLssssL ssssL sLLssssL &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; LLssssLs sssLs LLssssLs &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; Lssss LssssLsL LssssLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


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


{| class="wikitable"
|-
| | <tt> ssssL ssssLLsL ssssLLsL </tt>
| |
| |
|-
| | <tt> sssLs sssLLsLs sssLLsLs </tt>
| |
| |
|-
| | <tt> ssLss ssLLsLss ssLLsLss </tt>
| |
| |
|-
| | <tt> sLsss sLLsLsss sLLsLsss </tt>
| |
| | <tt> sLssssLL sLssssLL sLsss </tt>
|-
| | <tt> Lssss LLsLssss LLsLssss </tt>
| |
| | <tt> LssssLLs LssssLLs Lssss </tt>
|-
| | <tt> ssssL LsLssssL LsLssssL </tt>
| |
| | <tt> ssssLLsL ssssLLsL ssssL </tt>
|-
| |
| |
| | <tt> sssLLsLs sssLLsLs sssLs </tt>
|-
| |
| |
| | <tt> ssLLsLss ssLLsLss ssLss </tt>
|-
| |
| |
| | <tt> sLLsLsss sLLsLsss sLsss </tt>
|-
| |
| |
| | <tt> LLsLssss LLsLssss Lssss </tt>
|-
| |
| |
| | <tt> LsLssssL LsLssssL ssssL </tt>
|-
| |
| | <tt> sLssssLL sLsss sLssssLL </tt>
| |
|-
| |
| | <tt> LssssLLs Lssss LssssLLs </tt>
| |
|-
| |
| | <tt> ssssLLsL ssssL ssssLLsL </tt>
| |
|-
| |
| | <tt> sssLLsLs sssLs sssLLsLs </tt>
| |
|-
| |
| | <tt> ssLLsLss ssLss ssLLsLss </tt>
| |
|-
| |
| | <tt> sLLsLsss sLsss sLLsLsss </tt>
| |
|-
| |
| | <tt> LLsLssss Lssss LLsLssss </tt>
| |
|-
| |
| | <tt> LsLssssL ssssL LsLssssL </tt>
| |
|-
| | <tt> sLsss sLssssLL sLssssLL </tt>
| |
| |
|-
| | <tt> Lssss LssssLLs LssssLLs </tt>
| |
| |
|}


&lt;table class="wiki_table"&gt;
[[File:21_07_14_ssLsLLsss_sLs_sssLsLLss.png|alt=21_07_14_ssLsLLsss_sLs_sssLsLLss.png|21_07_14_ssLsLLsss_sLs_sssLsLLss.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssssL ssssLLsL ssssLLsL &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; sssLs sssLLsLs sssLLsLs &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; ssLss ssLLsLss ssLLsLss &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; sLsss sLLsLsss sLLsLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssssLL sLssssLL sLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lssss LLsLssss LLsLssss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssssLLs LssssLLs Lssss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssssL LsLssssL LsLssssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssssLLsL ssssLLsL ssssL &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; sssLLsLs sssLLsLs sssLs &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; ssLLsLss ssLLsLss ssLss &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; sLLsLsss sLLsLsss sLsss &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; LLsLssss LLsLssss Lssss &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; LsLssssL LsLssssL ssssL &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; sLssssLL sLsss sLssssLL &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; LssssLLs Lssss LssssLLs &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; ssssLLsL ssssL ssssLLsL &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; sssLLsLs sssLs sssLLsLs &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; ssLLsLss ssLss ssLLsLss &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; sLLsLsss sLsss sLLsLsss &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; LLsLssss Lssss LLsLssss &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; LsLssssL ssssL LsLssssL &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; sLsss sLssssLL sLssssLL &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; Lssss LssssLLs LssssLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:350:&amp;lt;img src=&amp;quot;/file/view/21_07_14_ssLsLLsss_sLs_sssLsLLss.png/590988842/21_07_14_ssLsLLsss_sLs_sssLsLLss.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/21_07_14_ssLsLLsss_sLs_sssLsLLss.png/590988842/21_07_14_ssLsLLsss_sLs_sssLsLLss.png" alt="21_07_14_ssLsLLsss_sLs_sssLsLLss.png" title="21_07_14_ssLsLLsss_sLs_sssLsLLss.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:350 --&gt;&lt;br /&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&lt;br /&gt;
[[Category:21-tone scales]]
&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;
[[Category:Tempered scales]]
&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:Pages with mostly numerical content]]
[[Category:MODMOS]]
[[Category:Omnitetrachordal]]
[[Category:Whitewood]]

Latest revision as of 03:12, 24 June 2025

Omnitetrachordal MODMOS scale

7L+14s

21 tones (9+3+9)

whitewood; requires high L/s; 2 forms

Q2 = 3.2777408456 (4/3 = 3L+5.5s)

P = 8.5554816911

Q1 = 13.8332225367 (4/3 = 3L+4.5s)

L = 57.14 to 171.43 cents (106.47 cents @ Q2, 138.95 cents @ P, 149.77 cents @ Q1)

s = 0.00 to 57.14 cents (32.48 cents @ Q1, 16.24 cents @ P, 10.83 cents @ Q2)

9/8 = L+4s (171.43 to 285.71 cents)

4/3 = 3L+5s (457.14 to 514.29 cents)

MOS generator: s (0.00 to 57.14 cents)

MOS period: 1/7 octave (171.43 cents)

notable EDOs: 42, 49, 56

ssLssLssLssLssLssLssL (MOS, not OTC)

 ||  ||  | |    |   |

sLssssLsLLssssLsLLsss (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o

ssLssLssLssLssLssLssL (MOS, not OTC)

 ||  || |   |    | | 

sLssssLssssLLsLssssLL (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o

ssssLssssLsLLssssLsLL (form 1)

          ||      || 

ssssLssssLLsLssssLLsL (form 2)

all modes, form 1:

ssssL ssssLsLL ssssLsLL
sssLs sssLsLLs sssLsLLs
ssLss ssLsLLss ssLsLLss
sLsss sLsLLsss sLsLLsss
Lssss LsLLssss LsLLssss LssssLsL LssssLsL Lssss
ssssL sLLssssL sLLssssL ssssLsLL ssssLsLL ssssL
sssLs LLssssLs LLssssLs sssLsLLs sssLsLLs sssLs
ssLsLLss ssLsLLss ssLss
sLsLLsss sLsLLsss sLsss
LsLLssss LsLLssss Lssss
sLLssssL sLLssssL ssssL
LLssssLs LLssssLs sssLs
LssssLsL Lssss LssssLsL
ssssLsLL ssssL ssssLsLL
sssLsLLs sssLs sssLsLLs
ssLsLLss ssLss ssLsLLss
sLsLLsss sLsss sLsLLsss
LsLLssss Lssss LsLLssss
sLLssssL ssssL sLLssssL
LLssssLs sssLs LLssssLs
Lssss LssssLsL LssssLsL

all modes, form 2:

ssssL ssssLLsL ssssLLsL
sssLs sssLLsLs sssLLsLs
ssLss ssLLsLss ssLLsLss
sLsss sLLsLsss sLLsLsss sLssssLL sLssssLL sLsss
Lssss LLsLssss LLsLssss LssssLLs LssssLLs Lssss
ssssL LsLssssL LsLssssL ssssLLsL ssssLLsL ssssL
sssLLsLs sssLLsLs sssLs
ssLLsLss ssLLsLss ssLss
sLLsLsss sLLsLsss sLsss
LLsLssss LLsLssss Lssss
LsLssssL LsLssssL ssssL
sLssssLL sLsss sLssssLL
LssssLLs Lssss LssssLLs
ssssLLsL ssssL ssssLLsL
sssLLsLs sssLs sssLLsLs
ssLLsLss ssLss ssLLsLss
sLLsLsss sLsss sLLsLsss
LLsLssss Lssss LLsLssss
LsLssssL ssssL LsLssssL
sLsss sLssssLL sLssssLL
Lssss LssssLLs LssssLLs

21_07_14_ssLsLLsss_sLs_sssLsLLss.png

See also

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