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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal MOS 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 21:05:47 UTC</tt>.<br>
[[12L_7s|12L+7s]]
: The original revision id was <tt>590701396</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 MOS scale
[[12L 7s|12L+7s]]
19 tones (8+3+8)
19 tones (8+3+8)


[[Meantone]] MOS; [[Gallery of omnitetrachordal scales#perfect|P]]&lt;0 (oddly, neither this scale nor its [[{$page}#dual|dual]] can be tuned with a perfect 3/2!)
[[Meantone|Meantone]] MOS; [[Gallery_of_omnitetrachordal_scales#perfect|P]]&lt;0 (oddly, neither this scale nor its [[OTC_12L_7s#dual|dual]] can be tuned with a perfect 3/2!)


P = -4.8459060415
P = -4.8459060415
[[Gallery of omnitetrachordal scales#Q|Q]] = 20.7295302077 (4/3 = 5L+2.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 20.7295302077 (4/3 = 5L+2.5s)


L = 63.16 to 100.00 cents (97.26 cents @ Q)
L = 63.16 to 100.00 cents (97.26 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)


9/8 = 2L+s (189.47 to 200.00 cents)
9/8 = 2L+s (189.47 to 200.00 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
generator = 4/3
generator = 4/3


notable EDOs: 31, 43, 50, 55
notable EDOs: 31, 43, 50, 55


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


all modes:
all modes:
|| {{ LsL LsLsLLsL LsLsLLsL }} || || {{ LsLLsLsL LsLLsLsL LsL }} ||
|| {{ sLL sLsLLsLL sLsLLsLL }} || || {{ sLLsLsLL sLLsLsLL sLL }} ||
|| {{ LLs LsLLsLLs LsLLsLLs }} || || {{ LLsLsLLs LLsLsLLs LLs }} ||
|| {{ LsL sLLsLLsL sLLsLLsL }} || || {{ LsLsLLsL LsLsLLsL LsL }} ||
|| || || {{ sLsLLsLL sLsLLsLL sLL }} ||
|| || {{ LsLLsLLs LsL LsLLsLLs }} || {{ LsLLsLLs LsLLsLLs LLs }} ||
|| || {{ sLLsLLsL sLL sLLsLLsL }} || {{ sLLsLLsL sLLsLLsL LsL }} ||
|| || {{ LLsLLsLs LLs LLsLLsLs }} || ||
|| || {{ LsLLsLsL LsL LsLLsLsL }} || ||
|| || {{ sLLsLsLL sLL sLLsLsLL }} || ||
|| || {{ LLsLsLLs LLs LLsLsLLs }} || ||
|| || {{ LsLsLLsL LsL LsLsLLsL }} || ||
|| || {{ sLsLLsLL sLL sLsLLsLL }} || ||
|| {{ LsL LsLLsLLs LsLLsLLs }} || {{ LsLLsLLs LLs LsLLsLLs }} || ||
|| {{ sLL sLLsLLsL sLLsLLsL }} || {{ sLLsLLsL LsL sLLsLLsL }} || ||
|| {{ LLs LLsLLsLs LLsLLsLs }} || || ||
|| {{ LsL LsLLsLsL LsLLsLsL }} || || {{ LsLLsLLs LsLLsLLs LsL }} ||
|| {{ sLL sLLsLsLL sLLsLsLL }} || || {{ sLLsLLsL sLLsLLsL sLL }} ||
|| {{ LLs LLsLsLLs LLsLsLLs }} || || {{ LLsLLsLs LLsLLsLs LLs }} ||


[[image:19_12_07_sLLsLsLL_sLL_sLLsLsLL.png]]
{| class="wikitable"
|-
| | <tt> LsL LsLsLLsL LsLsLLsL </tt>
| |
| | <tt> LsLLsLsL LsLLsLsL LsL </tt>
|-
| | <tt> sLL sLsLLsLL sLsLLsLL </tt>
| |
| | <tt> sLLsLsLL sLLsLsLL sLL </tt>
|-
| | <tt> LLs LsLLsLLs LsLLsLLs </tt>
| |
| | <tt> LLsLsLLs LLsLsLLs LLs </tt>
|-
| | <tt> LsL sLLsLLsL sLLsLLsL </tt>
| |
| | <tt> LsLsLLsL LsLsLLsL LsL </tt>
|-
| |
| |
| | <tt> sLsLLsLL sLsLLsLL sLL </tt>
|-
| |
| | <tt> LsLLsLLs LsL LsLLsLLs </tt>
| | <tt> LsLLsLLs LsLLsLLs LLs </tt>
|-
| |
| | <tt> sLLsLLsL sLL sLLsLLsL </tt>
| | <tt> sLLsLLsL sLLsLLsL LsL </tt>
|-
| |
| | <tt> LLsLLsLs LLs LLsLLsLs </tt>
| |
|-
| |
| | <tt> LsLLsLsL LsL LsLLsLsL </tt>
| |
|-
| |
| | <tt> sLLsLsLL sLL sLLsLsLL </tt>
| |
|-
| |
| | <tt> LLsLsLLs LLs LLsLsLLs </tt>
| |
|-
| |
| | <tt> LsLsLLsL LsL LsLsLLsL </tt>
| |
|-
| |
| | <tt> sLsLLsLL sLL sLsLLsLL </tt>
| |
|-
| | <tt> LsL LsLLsLLs LsLLsLLs </tt>
| | <tt> LsLLsLLs LLs LsLLsLLs </tt>
| |
|-
| | <tt> sLL sLLsLLsL sLLsLLsL </tt>
| | <tt> sLLsLLsL LsL sLLsLLsL </tt>
| |
|-
| | <tt> LLs LLsLLsLs LLsLLsLs </tt>
| |
| |
|-
| | <tt> LsL LsLLsLsL LsLLsLsL </tt>
| |
| | <tt> LsLLsLLs LsLLsLLs LsL </tt>
|-
| | <tt> sLL sLLsLsLL sLLsLsLL </tt>
| |
| | <tt> sLLsLLsL sLLsLLsL sLL </tt>
|-
| | <tt> LLs LLsLsLLs LLsLsLLs </tt>
| |
| | <tt> LLsLLsLs LLsLLsLs LLs </tt>
|}
 
[[File:19_12_07_sLLsLsLL_sLL_sLLsLsLL.png|alt=19_12_07_sLLsLsLL_sLL_sLLsLsLL.png|19_12_07_sLLsLsLL_sLL_sLLsLsLL.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]]


===References===
===References===
* Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [[http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685|3685]] and [[http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987|10987]].
<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685 3685] and [http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987 10987].</li></ul>
</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 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/12L%207s"&gt;12L+7s&lt;/a&gt;&lt;br /&gt;
19 tones (8+3+8)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Meantone"&gt;Meantone&lt;/a&gt; MOS; &lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt;&amp;lt;0 (oddly, neither this scale nor its &lt;!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#dual|dual]] --&gt;&lt;a class="wiki_link" href="/OTC%2012L%207s#dual"&gt;dual&lt;/a&gt;&lt;!-- ws:end:WikiTextVariableComponentRule:01 --&gt; can be tuned with a perfect 3/2!)&lt;br /&gt;
&lt;br /&gt;
P = -4.8459060415&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 20.7295302077 (4/3 = 5L+2.5s)&lt;br /&gt;
&lt;br /&gt;
L = 63.16 to 100.00 cents (97.26 cents @ Q)&lt;br /&gt;
s = 0.00 to 63.16 cents (4.69 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+s (189.47 to 200.00 cents)&lt;br /&gt;
4/3 = 5L+3s (500.00 to 505.26 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 31, 43, 50, 55&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; LsLLsLsLLsLLsLsLLsL &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; LsL LsLsLLsL LsLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLsL LsLLsLsL LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL sLsLLsLL sLsLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLsLL sLLsLsLL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LsLLsLLs LsLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLsLLs LLsLsLLs LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL sLLsLLsL sLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLLsL LsLsLLsL 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; sLsLLsLL sLsLLsLL 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; LsLLsLLs LsL LsLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLs LsLLsLLs 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;tt&gt; sLLsLLsL sLL sLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLsL sLLsLLsL 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;tt&gt; LLsLLsLs LLs LLsLLsLs &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; LsLLsLsL LsL LsLLsLsL &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; sLLsLsLL sLL sLLsLsLL &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; LLsLsLLs LLs LLsLsLLs &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; LsLsLLsL LsL LsLsLLsL &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; sLsLLsLL sLL sLsLLsLL &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; LsL LsLLsLLs LsLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLs LLs LsLLsLLs &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; sLL sLLsLLsL sLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLsL LsL sLLsLLsL &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 LLsLLsLs LLsLLsLs &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 LsLLsLsL LsLLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLs LsLLsLLs LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL sLLsLsLL sLLsLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLsL sLLsLLsL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LLsLsLLs LLsLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLsLs LLsLLsLs LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:170:&amp;lt;img src=&amp;quot;/file/view/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png/589273888/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png/589273888/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png" alt="19_12_07_sLLsLsLL_sLL_sLLsLsLL.png" title="19_12_07_sLLsLsLL_sLL_sLLsLsLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:170 --&gt;&lt;br /&gt;
&lt;br /&gt;
&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;
&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;References&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow"&gt;3685&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow"&gt;10987&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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