OTC 15L 9s: 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 21:57:53 UTC</tt>.<br>
[[15L_9s|15L+9s]]
: The original revision id was <tt>590989462</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
[[15L 9s|15L+9s]]
24 tones (10+4+10)
24 tones (10+4+10)


[[Augmented family#Triforce|triforce]], [[Misty family#Hemimist|hemimist]], [[Porwell temperaments#Nessafof|nessafof]]; best at low L/s
[[Augmented_family#Triforce|triforce]], [[Misty_family#Hemimist|hemimist]], [[Porwell_temperaments#Nessafof|nessafof]]; best at low L/s
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.1733445018


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.1733445018
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 3.390025129 (4/3 = 6L+4.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.390025129 (4/3 = 6L+4.5s)


L = 50.00 to 80.00 cents (52.93 cents @ P, 67.97 cents @ Q)
L = 50.00 to 80.00 cents (52.93 cents @ P, 67.97 cents @ Q)
s = 0.00 to 50.00 cents (45.11 cents @ P, 20.05 cents @ Q)
s = 0.00 to 50.00 cents (45.11 cents @ P, 20.05 cents @ Q)


9/8 = 3L+s (200.00 to 240.00 cents)
9/8 = 3L+s (200.00 to 240.00 cents)
4/3 = 6L+4s (480.00 to 500.00 cents)
4/3 = 6L+4s (480.00 to 500.00 cents)
MOS generator = 2L+s (150.00 to 160.00 cents)
MOS generator = 2L+s (150.00 to 160.00 cents)
MOS period = 1/3 octave (400.00 cents)
MOS period = 1/3 octave (400.00 cents)


notable EDOs: 39, 54, 63, 87
notable EDOs: 39, 54, 63, 87


{{ LsLLsLsLLsLLsLsLLsLLsLsL }} (MOS, not OTC)
<tt> LsLLsLsLLsLLsLsLLsLLsLsL </tt> (MOS, not OTC)
{{  |||  | ||    | | | |    }}
{{ LLsssLLLsLLLsLLLsssLLLsL }} (OTC MODMOS) - gc 4,2,4,2,4,2,2; 4o


all modes:
<tt>  |||  | ||    | | | |    </tt>
|| || || {{ sssLLLsLLL sssLLLsLLL sLLL }} ||
|| || || {{ ssLLLsLLLs ssLLLsLLLs LLLs }} ||
|| || {{ sLLLsLLLss sLLL sLLLsLLLss }} || ||
|| || {{ LLLsLLLsss LLLs LLLsLLLsss }} || ||
|| || {{ LLsLLLsssL LLsL LLsLLLsssL }} || ||
|| || {{ LsLLLsssLL LsLL LsLLLsssLL }} || ||
|| || {{ sLLLsssLLL sLLL sLLLsssLLL }} || ||
|| || {{ LLLsssLLLs LLLs LLLsssLLLs }} || ||
|| || {{ LLsssLLLsL LLsL LLsssLLLsL }} || ||
|| || {{ LsssLLLsLL LsLL LsssLLLsLL }} || ||
|| || {{ sssLLLsLLL sLLL sssLLLsLLL }} || ||
|| || {{ ssLLLsLLLs LLLs ssLLLsLLLs }} || ||
|| {{ sLLL sLLLsLLLss sLLLsLLLss }} || || ||
|| {{ LLLs LLLsLLLsss LLLsLLLsss }} || || ||
|| {{ LLsL LLsLLLsssL LLsLLLsssL }} || || ||
|| {{ LsLL LsLLLsssLL LsLLLsssLL }} || || ||
|| {{ sLLL sLLLsssLLL sLLLsssLLL }} || || {{ sLLLsLLLss sLLLsLLLss sLLL }} ||
|| {{ LLLs LLLsssLLLs LLLsssLLLs }} || || {{ LLLsLLLsss LLLsLLLsss LLLs }} ||
|| {{ LLsL LLsssLLLsL LLsssLLLsL }} || || {{ LLsLLLsssL LLsLLLsssL LLsL }} ||
|| {{ LsLL LsssLLLsLL LsssLLLsLL }} || || {{ LsLLLsssLL LsLLLsssLL LsLL }} ||
|| {{ sLLL sssLLLsLLL sssLLLsLLL }} || || {{ sLLLsssLLL sLLLsssLLL sLLL }} ||
|| {{ LLLs ssLLLsLLLs ssLLLsLLLs }} || || {{ LLLsssLLLs LLLsssLLLs LLLs }} ||
|| || || {{ LLsssLLLsL LLsssLLLsL LLsL }} ||
|| || || {{ LsssLLLsLL LsssLLLsLL LsLL }} ||


[[image:24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png]]
<tt> LLsssLLLsLLLsLLLsssLLLsL </tt> (OTC MODMOS) - gc 4,2,4,2,4,2,2; 4o


===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 15L 9s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/15L%209s"&gt;15L+9s&lt;/a&gt;&lt;br /&gt;
24 tones (10+4+10)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Augmented%20family#Triforce"&gt;triforce&lt;/a&gt;, &lt;a class="wiki_link" href="/Misty%20family#Hemimist"&gt;hemimist&lt;/a&gt;, &lt;a class="wiki_link" href="/Porwell%20temperaments#Nessafof"&gt;nessafof&lt;/a&gt;; 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; = 1.1733445018&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 3.390025129 (4/3 = 6L+4.5s)&lt;br /&gt;
&lt;br /&gt;
L = 50.00 to 80.00 cents (52.93 cents @ P, 67.97 cents @ Q)&lt;br /&gt;
s = 0.00 to 50.00 cents (45.11 cents @ P, 20.05 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 3L+s (200.00 to 240.00 cents)&lt;br /&gt;
4/3 = 6L+4s (480.00 to 500.00 cents)&lt;br /&gt;
MOS generator = 2L+s (150.00 to 160.00 cents)&lt;br /&gt;
MOS period = 1/3 octave (400.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 39, 54, 63, 87&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLLsLsLLsLLsLsLLsLLsLsL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  |||  | ||    | | | |    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLsssLLLsLLLsLLLsssLLLsL &lt;/tt&gt; (OTC MODMOS) - gc 4,2,4,2,4,2,2; 4o&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| |
| |
| | <tt> sssLLLsLLL sssLLLsLLL sLLL </tt>
|-
| |
| |
| | <tt> ssLLLsLLLs ssLLLsLLLs LLLs </tt>
|-
| |
| | <tt> sLLLsLLLss sLLL sLLLsLLLss </tt>
| |
|-
| |
| | <tt> LLLsLLLsss LLLs LLLsLLLsss </tt>
| |
|-
| |
| | <tt> LLsLLLsssL LLsL LLsLLLsssL </tt>
| |
|-
| |
| | <tt> LsLLLsssLL LsLL LsLLLsssLL </tt>
| |
|-
| |
| | <tt> sLLLsssLLL sLLL sLLLsssLLL </tt>
| |
|-
| |
| | <tt> LLLsssLLLs LLLs LLLsssLLLs </tt>
| |
|-
| |
| | <tt> LLsssLLLsL LLsL LLsssLLLsL </tt>
| |
|-
| |
| | <tt> LsssLLLsLL LsLL LsssLLLsLL </tt>
| |
|-
| |
| | <tt> sssLLLsLLL sLLL sssLLLsLLL </tt>
| |
|-
| |
| | <tt> ssLLLsLLLs LLLs ssLLLsLLLs </tt>
| |
|-
| | <tt> sLLL sLLLsLLLss sLLLsLLLss </tt>
| |
| |
|-
| | <tt> LLLs LLLsLLLsss LLLsLLLsss </tt>
| |
| |
|-
| | <tt> LLsL LLsLLLsssL LLsLLLsssL </tt>
| |
| |
|-
| | <tt> LsLL LsLLLsssLL LsLLLsssLL </tt>
| |
| |
|-
| | <tt> sLLL sLLLsssLLL sLLLsssLLL </tt>
| |
| | <tt> sLLLsLLLss sLLLsLLLss sLLL </tt>
|-
| | <tt> LLLs LLLsssLLLs LLLsssLLLs </tt>
| |
| | <tt> LLLsLLLsss LLLsLLLsss LLLs </tt>
|-
| | <tt> LLsL LLsssLLLsL LLsssLLLsL </tt>
| |
| | <tt> LLsLLLsssL LLsLLLsssL LLsL </tt>
|-
| | <tt> LsLL LsssLLLsLL LsssLLLsLL </tt>
| |
| | <tt> LsLLLsssLL LsLLLsssLL LsLL </tt>
|-
| | <tt> sLLL sssLLLsLLL sssLLLsLLL </tt>
| |
| | <tt> sLLLsssLLL sLLLsssLLL sLLL </tt>
|-
| | <tt> LLLs ssLLLsLLLs ssLLLsLLLs </tt>
| |
| | <tt> LLLsssLLLs LLLsssLLLs LLLs </tt>
|-
| |
| |
| | <tt> LLsssLLLsL LLsssLLLsL LLsL </tt>
|-
| |
| |
| | <tt> LsssLLLsLL LsssLLLsLL LsLL </tt>
|}


&lt;table class="wiki_table"&gt;
[[File:24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png|alt=24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png|24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png]]
    &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; sssLLLsLLL sssLLLsLLL sLLL &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; ssLLLsLLLs ssLLLsLLLs LLLs &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; sLLLsLLLss sLLL sLLLsLLLss &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; LLLsLLLsss LLLs LLLsLLLsss &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; LLsLLLsssL LLsL LLsLLLsssL &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; LsLLLsssLL LsLL LsLLLsssLL &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; sLLLsssLLL sLLL sLLLsssLLL &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; LLLsssLLLs LLLs LLLsssLLLs &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; LLsssLLLsL LLsL LLsssLLLsL &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; LsssLLLsLL LsLL LsssLLLsLL &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; sssLLLsLLL sLLL sssLLLsLLL &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; ssLLLsLLLs LLLs ssLLLsLLLs &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; sLLL sLLLsLLLss sLLLsLLLss &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; LLLs LLLsLLLsss LLLsLLLsss &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; LLsL LLsLLLsssL LLsLLLsssL &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; LsLL LsLLLsssLL LsLLLsssLL &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; sLLL sLLLsssLLL sLLLsssLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLLLss sLLLsLLLss sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LLLsssLLLs LLLsssLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsLLLsss LLLsLLLsss LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLsL LLsssLLLsL LLsssLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLLsssL LLsLLLsssL LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LsssLLLsLL LsssLLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsssLL LsLLLsssLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLLL sssLLLsLLL sssLLLsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsssLLL sLLLsssLLL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLLs ssLLLsLLLs ssLLLsLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsssLLLs LLLsssLLLs LLLs &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; LLsssLLLsL LLsssLLLsL LLsL &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; LsssLLLsLL LsssLLLsLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:202:&amp;lt;img src=&amp;quot;/file/view/24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png/590988896/24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png/590988896/24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png" alt="24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png" title="24_15_09_LLsssLLLsL_LLsL_LLsssLLLsL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:202 --&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>