OTC 10L 12s: 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>2016-09-01 20:50:38 UTC</tt>.<br>
[[10L_12s|10L+12s]]
: The original revision id was <tt>590811548</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 12s|10L+12s]]
22 tones (9+4+9)
22 tones (9+4+9)


[[pajara]]?; imperfect; best at low L/s
[[pajara|pajara]]?; imperfect; best at low L/s
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 0.1300083763


[[Gallery of omnitetrachordal scales#perfect|P]] = 0.1300083763
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 3.4550293172 (4/3 = 4L+5.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.4550293172 (4/3 = 4L+5.5s)


L = 54.55 to 120.00 cents (89.07 cents @ Q)
L = 54.55 to 120.00 cents (89.07 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)


9/8 = 2L+2s (218.18 to 240.00 cents)
9/8 = 2L+2s (218.18 to 240.00 cents)
4/3 = 4L+5s (480.00 to 490.91 cents)
4/3 = 4L+5s (480.00 to 490.91 cents)
MOS generator = L+s (109.09 to 120.00 cents)
MOS generator = L+s (109.09 to 120.00 cents)
MOS period = 1/2 octave (600.00 cents)
MOS period = 1/2 octave (600.00 cents)


notable EDOs: 32, 42, 54
notable EDOs: 32, 42, 54


{{ LsLsLsLsLssLsLsLsLsLss }} (MOS, not OTC)
<tt> LsLsLsLsLssLsLsLsLsLss </tt> (MOS, not OTC)
{{           ||           }}
{{ LsLsLsLsLsLssLsLsLsLss }} (OTC MODMOS) - gc 11,11


all modes:
<tt>           ||           </tt>
|| {{ LsLs LsLsLsLss LsLsLsLss }} || || ||
|| {{ sLsL sLsLsLssL sLsLsLssL }} || || ||
|| {{ LsLs LsLsLssLs LsLsLssLs }} || || ||
|| {{ sLsL sLsLssLsL sLsLssLsL }} || || {{ sLsLsLsLs sLsLsLsLs sLsL }} ||
|| {{ LsLs LsLssLsLs LsLssLsLs }} || || {{ LsLsLsLss LsLsLsLss LsLs }} ||
|| {{ sLsL sLssLsLsL sLssLsLsL }} || || {{ sLsLsLssL sLsLsLssL sLsL }} ||
|| {{ LsLs LssLsLsLs LssLsLsLs }} || || {{ LsLsLssLs LsLsLssLs LsLs }} ||
|| {{ sLsL ssLsLsLsL ssLsLsLsL }} || || {{ sLsLssLsL sLsLssLsL sLsL }} ||
|| {{ LsLs sLsLsLsLs sLsLsLsLs }} || || {{ LsLssLsLs LsLssLsLs LsLs }} ||
|| || || {{ sLssLsLsL sLssLsLsL sLsL }} ||
|| || || {{ LssLsLsLs LssLsLsLs LsLs }} ||
|| || || {{ ssLsLsLsL ssLsLsLsL sLsL }} ||
|| || {{ sLsLsLsLs sLsL sLsLsLsLs }} || {{ sLsLsLsLs sLsLsLsLs LsLs }} ||
|| || {{ LsLsLsLss LsLs LsLsLsLss }} || ||
|| || {{ sLsLsLssL sLsL sLsLsLssL }} || ||
|| || {{ LsLsLssLs LsLs LsLsLssLs }} || ||
|| || {{ sLsLssLsL sLsL sLsLssLsL }} || ||
|| || {{ LsLssLsLs LsLs LsLssLsLs }} || ||
|| || {{ sLssLsLsL sLsL sLssLsLsL }} || ||
|| || {{ LssLsLsLs LsLs LssLsLsLs }} || ||
|| || {{ ssLsLsLsL sLsL ssLsLsLsL }} || ||
|| {{ sLsL sLsLsLsLs sLsLsLsLs }} || {{ sLsLsLsLs LsLs sLsLsLsLs }} || ||


[[image:22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png]]
<tt> LsLsLsLsLsLssLsLsLsLss </tt> (OTC MODMOS) - gc 11,11


===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 10L 12s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/10L%2012s"&gt;10L+12s&lt;/a&gt;&lt;br /&gt;
22 tones (9+4+9)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/pajara"&gt;pajara&lt;/a&gt;?; imperfect; 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; = 0.1300083763&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 3.4550293172 (4/3 = 4L+5.5s)&lt;br /&gt;
&lt;br /&gt;
L = 54.55 to 120.00 cents (89.07 cents @ Q)&lt;br /&gt;
s = 0.00 to 54.55 cents (25.78 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+2s (218.18 to 240.00 cents)&lt;br /&gt;
4/3 = 4L+5s (480.00 to 490.91 cents)&lt;br /&gt;
MOS generator = L+s (109.09 to 120.00 cents)&lt;br /&gt;
MOS period = 1/2 octave (600.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 32, 42, 54&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLsLsLsLssLsLsLsLsLss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;           ||           &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsLsLsLsLsLssLsLsLsLss &lt;/tt&gt; (OTC MODMOS) - gc 11,11&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| | <tt> LsLs LsLsLsLss LsLsLsLss </tt>
| |
| |
|-
| | <tt> sLsL sLsLsLssL sLsLsLssL </tt>
| |
| |
|-
| | <tt> LsLs LsLsLssLs LsLsLssLs </tt>
| |
| |
|-
| | <tt> sLsL sLsLssLsL sLsLssLsL </tt>
| |
| | <tt> sLsLsLsLs sLsLsLsLs sLsL </tt>
|-
| | <tt> LsLs LsLssLsLs LsLssLsLs </tt>
| |
| | <tt> LsLsLsLss LsLsLsLss LsLs </tt>
|-
| | <tt> sLsL sLssLsLsL sLssLsLsL </tt>
| |
| | <tt> sLsLsLssL sLsLsLssL sLsL </tt>
|-
| | <tt> LsLs LssLsLsLs LssLsLsLs </tt>
| |
| | <tt> LsLsLssLs LsLsLssLs LsLs </tt>
|-
| | <tt> sLsL ssLsLsLsL ssLsLsLsL </tt>
| |
| | <tt> sLsLssLsL sLsLssLsL sLsL </tt>
|-
| | <tt> LsLs sLsLsLsLs sLsLsLsLs </tt>
| |
| | <tt> LsLssLsLs LsLssLsLs LsLs </tt>
|-
| |
| |
| | <tt> sLssLsLsL sLssLsLsL sLsL </tt>
|-
| |
| |
| | <tt> LssLsLsLs LssLsLsLs LsLs </tt>
|-
| |
| |
| | <tt> ssLsLsLsL ssLsLsLsL sLsL </tt>
|-
| |
| | <tt> sLsLsLsLs sLsL sLsLsLsLs </tt>
| | <tt> sLsLsLsLs sLsLsLsLs LsLs </tt>
|-
| |
| | <tt> LsLsLsLss LsLs LsLsLsLss </tt>
| |
|-
| |
| | <tt> sLsLsLssL sLsL sLsLsLssL </tt>
| |
|-
| |
| | <tt> LsLsLssLs LsLs LsLsLssLs </tt>
| |
|-
| |
| | <tt> sLsLssLsL sLsL sLsLssLsL </tt>
| |
|-
| |
| | <tt> LsLssLsLs LsLs LsLssLsLs </tt>
| |
|-
| |
| | <tt> sLssLsLsL sLsL sLssLsLsL </tt>
| |
|-
| |
| | <tt> LssLsLsLs LsLs LssLsLsLs </tt>
| |
|-
| |
| | <tt> ssLsLsLsL sLsL ssLsLsLsL </tt>
| |
|-
| | <tt> sLsL sLsLsLsLs sLsLsLsLs </tt>
| | <tt> sLsLsLsLs LsLs sLsLsLsLs </tt>
| |
|}


&lt;table class="wiki_table"&gt;
[[File:22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png|alt=22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png|22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLs LsLsLsLss LsLsLsLss &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; sLsL sLsLsLssL sLsLsLssL &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; LsLs LsLsLssLs LsLsLssLs &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; sLsL sLsLssLsL sLsLssLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLsLs sLsLsLsLs sLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLs LsLssLsLs LsLssLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLsLss LsLsLsLss LsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLsL sLssLsLsL sLssLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLssL sLsLsLssL sLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLs LssLsLsLs LssLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLssLs LsLsLssLs LsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLsL ssLsLsLsL ssLsLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLssLsL sLsLssLsL sLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsLs sLsLsLsLs sLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLssLsLs LsLssLsLs LsLs &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; sLssLsLsL sLssLsLsL sLsL &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; LssLsLsLs LssLsLsLs LsLs &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; ssLsLsLsL ssLsLsLsL sLsL &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; sLsLsLsLs sLsL sLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLsLs sLsLsLsLs LsLs &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; LsLsLsLss LsLs LsLsLsLss &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; sLsLsLssL sLsL sLsLsLssL &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; LsLsLssLs LsLs LsLsLssLs &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; sLsLssLsL sLsL sLsLssLsL &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; LsLssLsLs LsLs LsLssLsLs &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; sLssLsLsL sLsL sLssLsLsL &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; LssLsLsLs LsLs LssLsLsLs &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; ssLsLsLsL sLsL ssLsLsLsL &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; sLsL sLsLsLsLs sLsLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLsLs LsLs sLsLsLsLs &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:186:&amp;lt;img src=&amp;quot;/file/view/22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png/589273894/22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png/589273894/22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png" alt="22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png" title="22_10_12_sLsLsLsLs_LsLs_sLsLsLsLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:186 --&gt;&lt;br /&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&lt;br /&gt;
[[Category:22-tone scales]]
&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;
[[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:Pajara]]