OTC 7L 6s: 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>2016-08-28 22:25:23 UTC</tt>.<br>
[[7L_6s|7L+6s]]
: The original revision id was <tt>590312920</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 6s|7L+6s]]
13 tones (5+3+5)
13 tones (5+3+5)


[[Tetracot family|Tetracot]] MODMOS.  Best tuned at high values of L/s.
[[Tetracot_family|Tetracot]] MODMOS.  Best tuned at high values of L/s.


[[Gallery of omnitetrachordal scales#perfect|P]] = 5.1745609664
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 5.1745609664
[[Gallery of omnitetrachordal scales#Q|Q]] = 10.4523018119 (4/3 = 3L+1.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 10.4523018119 (4/3 = 3L+1.5s)


L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)
L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)


9/8 = L+2s (171.43 to 276.92 cents)
9/8 = L+2s (171.43 to 276.92 cents)
4/3 = 3L+2s (461.54 to 514.29 cents)
4/3 = 3L+2s (461.54 to 514.29 cents)
MOS generator = L+s (171.4 to 184.6 cents)
MOS generator = L+s (171.4 to 184.6 cents)


notable EDOs: 20, 27, 34, 41
notable EDOs: 20, 27, 34, 41


{{ sLsLsLsLsLsLL }} (MOS, not OTC)
<tt> sLsLsLsLsLsLL </tt> (MOS, not OTC)
{{  || || ||     }}
{{ ssLLLssLssLLL }} (OTC MODMOS) - gc 3,3,3; 4o


symmetric mode: {{ sLLLssLssLLLs }}
<tt>  || || ||     </tt>


all modes:
<tt> ssLLLssLssLLL </tt> (OTC MODMOS) - gc 3,3,3; 4o
|| || {{ ssLLL ssL ssLLL }} || ||
|| || {{ sLLLs sLs sLLLs }} || ||
|| || {{ LLLss Lss LLLss }} || ||
|| || {{ LLssL ssL LLssL }} || ||
|| {{ Lss LssLL LssLL }} || || ||
|| {{ ssL ssLLL ssLLL }} || || ||
|| {{ sLs sLLLs sLLLs }} || || ||
|| {{ Lss LLLss LLLss }} || || {{ LssLL LssLL Lss }} ||
|| {{ ssL LLssL LLssL }} || || {{ ssLLL ssLLL ssL }} ||
|| || || {{ sLLLs sLLLs sLs }} ||
|| || || {{ LLLss LLLss Lss }} ||
|| || || {{ LLssL LLssL ssL }} ||
|| || {{ LssLL Lss LssLL }} || ||


[[image:13_07_06_ssLLL_ssL_ssLLL.png]]
symmetric mode: <tt> sLLLssLssLLLs </tt>


===See also===
all modes:
* [[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 6s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%206s"&gt;7L+6s&lt;/a&gt;&lt;br /&gt;
13 tones (5+3+5)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tetracot%20family"&gt;Tetracot&lt;/a&gt; MODMOS.  Best tuned at high values of L/s.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 5.1745609664&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 10.4523018119 (4/3 = 3L+1.5s)&lt;br /&gt;
&lt;br /&gt;
L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)&lt;br /&gt;
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+2s (171.43 to 276.92 cents)&lt;br /&gt;
4/3 = 3L+2s (461.54 to 514.29 cents)&lt;br /&gt;
MOS generator = L+s (171.4 to 184.6 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 20, 27, 34, 41&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  || || ||     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLLssLssLLL &lt;/tt&gt; (OTC MODMOS) - gc 3,3,3; 4o&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; sLLLssLssLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> ssLLL ssL ssLLL </tt>
| |
|-
| |
| | <tt> sLLLs sLs sLLLs </tt>
| |
|-
| |
| | <tt> LLLss Lss LLLss </tt>
| |
|-
| |
| | <tt> LLssL ssL LLssL </tt>
| |
|-
| | <tt> Lss LssLL LssLL </tt>
| |
| |
|-
| | <tt> ssL ssLLL ssLLL </tt>
| |
| |
|-
| | <tt> sLs sLLLs sLLLs </tt>
| |
| |
|-
| | <tt> Lss LLLss LLLss </tt>
| |
| | <tt> LssLL LssLL Lss </tt>
|-
| | <tt> ssL LLssL LLssL </tt>
| |
| | <tt> ssLLL ssLLL ssL </tt>
|-
| |
| |
| | <tt> sLLLs sLLLs sLs </tt>
|-
| |
| |
| | <tt> LLLss LLLss Lss </tt>
|-
| |
| |
| | <tt> LLssL LLssL ssL </tt>
|-
| |
| | <tt> LssLL Lss LssLL </tt>
| |
|}


&lt;table class="wiki_table"&gt;
[[File:13_07_06_ssLLL_ssL_ssLLL.png|alt=13_07_06_ssLLL_ssL_ssLLL.png|13_07_06_ssLLL_ssL_ssLLL.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLL ssL ssLLL &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; sLLLs sLs sLLLs &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; LLLss Lss LLLss &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; LLssL ssL LLssL &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; Lss LssLL LssLL &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; ssL ssLLL ssLLL &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; sLs sLLLs sLLLs &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; Lss LLLss LLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLL LssLL Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL LLssL LLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLL ssLLL ssL &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; sLLLs sLLLs sLs &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; LLLss LLLss Lss &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; LLssL LLssL ssL &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; LssLL Lss LssLL &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;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:114:&amp;lt;img src=&amp;quot;/file/view/13_07_06_ssLLL_ssL_ssLLL.png/589273840/13_07_06_ssLLL_ssL_ssLLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/13_07_06_ssLLL_ssL_ssLLL.png/589273840/13_07_06_ssLLL_ssL_ssLLL.png" alt="13_07_06_ssLLL_ssL_ssLLL.png" title="13_07_06_ssLLL_ssL_ssLLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:114 --&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: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>