OTC 12L 3s: 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 20:40:32 UTC</tt>.<br>
[[12L_3s|12L+3s]]
: The original revision id was <tt>590700274</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
[[12L 3s|12L+3s]]
15 tones (6+3+6)
15 tones (6+3+6)


temperament: [[augmented]]
temperament: [[augmented|augmented]]
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 12.5377181246


[[Gallery of omnitetrachordal scales#perfect|P]] = 12.5377181246
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 38.1131543739 (4/3 = 5L+0.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 38.1131543739 (4/3 = 5L+0.5s)


L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)


9/8 = 2L+s (200.00 to 240.00 cents)
9/8 = 2L+s (200.00 to 240.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS period = 1/3 octave (400.00 cents)
MOS period = 1/3 octave (400.00 cents)


notable EDOs: 27, 39, 51
notable EDOs: 27, 39, 51


{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
<tt> LLLLsLLLLsLLLLs </tt> (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
{{     ||  ||      }}
 
{{ LLLLLsLLsLLLLLs }} (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5
<tt>     ||  ||      </tt>
 
<tt> LLLLLsLLsLLLLLs </tt> (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5


symmetric mode: {{ LsLLLLLsLLLLLsL }}
symmetric mode: <tt> LsLLLLLsLLLLLsL </tt>


all modes:
all modes:
|| {{ LLs LLLLLs LLLLLs }} || || {{ LLsLLL LLsLLL LLs }} ||
|| {{ LsL LLLLsL LLLLsL }} || || {{ LsLLLL LsLLLL LsL }} ||
|| {{ sLL LLLsLL LLLsLL }} || || {{ sLLLLL sLLLLL sLL }} ||
|| || || {{ LLLLLs LLLLLs LLs }} ||
|| || || {{ LLLLsL LLLLsL LsL }} ||
|| || || {{ LLLsLL LLLsLL sLL }} ||
|| || {{ LLsLLL LLs LLsLLL }} || ||
|| || {{ LsLLLL LsL LsLLLL }} || ||
|| || {{ sLLLLL sLL sLLLLL }} || ||
|| || {{ LLLLLs LLs LLLLLs }} || ||
|| || {{ LLLLsL LsL LLLLsL }} || ||
|| || {{ LLLsLL sLL LLLsLL }} || ||
|| {{ LLs LLsLLL LLsLLL }} || || ||
|| {{ LsL LsLLLL LsLLLL }} || || ||
|| {{ sLL sLLLLL sLLLLL }} || || ||


{| class="wikitable"
|-
| | <tt> LLs LLLLLs LLLLLs </tt>
| |
| | <tt> LLsLLL LLsLLL LLs </tt>
|-
| | <tt> LsL LLLLsL LLLLsL </tt>
| |
| | <tt> LsLLLL LsLLLL LsL </tt>
|-
| | <tt> sLL LLLsLL LLLsLL </tt>
| |
| | <tt> sLLLLL sLLLLL sLL </tt>
|-
| |
| |
| | <tt> LLLLLs LLLLLs LLs </tt>
|-
| |
| |
| | <tt> LLLLsL LLLLsL LsL </tt>
|-
| |
| |
| | <tt> LLLsLL LLLsLL sLL </tt>
|-
| |
| | <tt> LLsLLL LLs LLsLLL </tt>
| |
|-
| |
| | <tt> LsLLLL LsL LsLLLL </tt>
| |
|-
| |
| | <tt> sLLLLL sLL sLLLLL </tt>
| |
|-
| |
| | <tt> LLLLLs LLs LLLLLs </tt>
| |
|-
| |
| | <tt> LLLLsL LsL LLLLsL </tt>
| |
|-
| |
| | <tt> LLLsLL sLL LLLsLL </tt>
| |
|-
| | <tt> LLs LLsLLL LLsLLL </tt>
| |
| |
|-
| | <tt> LsL LsLLLL LsLLLL </tt>
| |
| |
|-
| | <tt> sLL sLLLLL sLLLLL </tt>
| |
| |
|}


[[image:15_12_03_LLLLLs_LLs_LLLLLs.png]]
[[File:15_12_03_LLLLLs_LLs_LLLLLs.png|alt=15_12_03_LLLLLs_LLs_LLLLLs.png|15_12_03_LLLLLs_LLs_LLLLLs.png]]


===See also===
===See also===
* [[Omnitetrachordality]]
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
* [[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 12L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/12L%203s"&gt;12L+3s&lt;/a&gt;&lt;br /&gt;
15 tones (6+3+6)&lt;br /&gt;
&lt;br /&gt;
temperament: &lt;a class="wiki_link" href="/augmented"&gt;augmented&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 12.5377181246&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 38.1131543739 (4/3 = 5L+0.5s)&lt;br /&gt;
&lt;br /&gt;
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)&lt;br /&gt;
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+s (200.00 to 240.00 cents)&lt;br /&gt;
4/3 = 5L+s (480.00 to 500.00 cents)&lt;br /&gt;
MOS generator = L (80.0 to 100.0 cents)&lt;br /&gt;
MOS period = 1/3 octave (400.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 27, 39, 51&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLLsLLLLsLLLLs &lt;/tt&gt; (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5&lt;br /&gt;
&lt;tt&gt;     ||  ||      &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLLLsLLsLLLLLs &lt;/tt&gt; (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; LsLLLLLsLLLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LLLLLs LLLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLL LLsLLL LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL LLLLsL LLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLL LsLLLL LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL LLLsLL LLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLLL sLLLLL 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; LLLLLs LLLLLs 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; LLLLsL LLLLsL 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; LLLsLL LLLsLL 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; LLsLLL LLs LLsLLL &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; LsLLLL LsL LsLLLL &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; sLLLLL sLL sLLLLL &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; LLLLLs LLs LLLLLs &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; LLLLsL LsL LLLLsL &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; LLLsLL sLL LLLsLL &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 LLsLLL LLsLLL &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 LsLLLL LsLLLL &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 sLLLLL sLLLLL &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;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:130:&amp;lt;img src=&amp;quot;/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png" alt="15_12_03_LLLLLs_LLs_LLLLLs.png" title="15_12_03_LLLLLs_LLs_LLLLLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:130 --&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>

Revision as of 00:00, 17 July 2018

Omnitetrachordal MODMOS scale

12L+3s

15 tones (6+3+6)

temperament: augmented

P = 12.5377181246

Q = 38.1131543739 (4/3 = 5L+0.5s)

L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)

s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)

9/8 = 2L+s (200.00 to 240.00 cents)

4/3 = 5L+s (480.00 to 500.00 cents)

MOS generator = L (80.0 to 100.0 cents)

MOS period = 1/3 octave (400.00 cents)

notable EDOs: 27, 39, 51

LLLLsLLLLsLLLLs (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5

    ||  ||     

LLLLLsLLsLLLLLs (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5

symmetric mode: LsLLLLLsLLLLLsL

all modes:

LLs LLLLLs LLLLLs LLsLLL LLsLLL LLs
LsL LLLLsL LLLLsL LsLLLL LsLLLL LsL
sLL LLLsLL LLLsLL sLLLLL sLLLLL sLL
LLLLLs LLLLLs LLs
LLLLsL LLLLsL LsL
LLLsLL LLLsLL sLL
LLsLLL LLs LLsLLL
LsLLLL LsL LsLLLL
sLLLLL sLL sLLLLL
LLLLLs LLs LLLLLs
LLLLsL LsL LLLLsL
LLLsLL sLL LLLsLL
LLs LLsLLL LLsLLL
LsL LsLLLL LsLLLL
sLL sLLLLL sLLLLL

15_12_03_LLLLLs_LLs_LLLLLs.png

See also

Retrieved from "https://en.xen.wiki/index.php?title=OTC_12L_3s&oldid=2946"