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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 20:50:59 UTC</tt>.<br>
[[12L_5s|12L+5s]]
: The original revision id was <tt>590700730</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 5s|12L+5s]]
17 tones (7+3+7)
17 tones (7+3+7)


Helmholtz / [[Schismatic family|schismatic]]
Helmholtz / [[Schismatic_family|schismatic]]


[[Gallery of omnitetrachordal scales#perfect|P]] = 3.8459060415 (L=[[256_243|256/243]], s=[[531441_524288|531441/524288]])
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 3.8459060415 (L=[[256/243|256/243]], s=[[531441/524288|531441/524288]])
[[Gallery of omnitetrachordal scales#Q|Q]] = 29.4213422908 (4/3 = 5L+1.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 29.4213422908 (4/3 = 5L+1.5s)


L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)
L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)
s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)
s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)


9/8 = 2L+s (200.00 to 211.76 cents)
9/8 = 2L+s (200.00 to 211.76 cents)
4/3 = 5L+2s (494.12 to 500.00 cents)
4/3 = 5L+2s (494.12 to 500.00 cents)
generator = 4/3
generator = 4/3


notable EDOs: 29, 41, 46, 53, 65
notable EDOs: 29, 41, 46, 53, 65


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


all modes:
all modes:
|| || {{ LsLLLsL LsL LsLLLsL }} || ||
|| || {{ sLLLsLL sLL sLLLsLL }} || ||
|| || {{ LLLsLLs LLs LLLsLLs }} || ||
|| {{ LLs LLsLLsL LLsLLsL }} || {{ LLsLLsL LsL LLsLLsL }} || ||
|| {{ LsL LsLLsLL LsLLsLL }} || {{ LsLLsLL sLL LsLLsLL }} || ||
|| {{ sLL sLLsLLL sLLsLLL }} || || ||
|| {{ LLs LLsLLLs LLsLLLs }} || || {{ LLsLLsL LLsLLsL LLs }} ||
|| {{ LsL LsLLLsL LsLLLsL }} || || {{ LsLLsLL LsLLsLL LsL }} ||
|| {{ sLL sLLLsLL sLLLsLL }} || || {{ sLLsLLL sLLsLLL sLL }} ||
|| {{ LLs LLLsLLs LLLsLLs }} || || {{ LLsLLLs LLsLLLs LLs }} ||
|| {{ LsL LLsLLsL LLsLLsL }} || || {{ LsLLLsL LsLLLsL LsL }} ||
|| {{ sLL LsLLsLL LsLLsLL }} || || {{ sLLLsLL sLLLsLL sLL }} ||
|| || || {{ LLLsLLs LLLsLLs LLs }} ||
|| || {{ LLsLLsL LLs LLsLLsL }} || {{ LLsLLsL LLsLLsL LsL }} ||
|| || {{ LsLLsLL LsL LsLLsLL }} || {{ LsLLsLL LsLLsLL sLL }} ||
|| || {{ sLLsLLL sLL sLLsLLL }} || ||
|| || {{ LLsLLLs LLs LLsLLLs }} || ||


[[image:17_12_05_LLLsLLs_LLs_LLLsLLs.png]]
{| class="wikitable"
|-
| |
| | <tt> LsLLLsL LsL LsLLLsL </tt>
| |
|-
| |
| | <tt> sLLLsLL sLL sLLLsLL </tt>
| |
|-
| |
| | <tt> LLLsLLs LLs LLLsLLs </tt>
| |
|-
| | <tt> LLs LLsLLsL LLsLLsL </tt>
| | <tt> LLsLLsL LsL LLsLLsL </tt>
| |
|-
| | <tt> LsL LsLLsLL LsLLsLL </tt>
| | <tt> LsLLsLL sLL LsLLsLL </tt>
| |
|-
| | <tt> sLL sLLsLLL sLLsLLL </tt>
| |
| |
|-
| | <tt> LLs LLsLLLs LLsLLLs </tt>
| |
| | <tt> LLsLLsL LLsLLsL LLs </tt>
|-
| | <tt> LsL LsLLLsL LsLLLsL </tt>
| |
| | <tt> LsLLsLL LsLLsLL LsL </tt>
|-
| | <tt> sLL sLLLsLL sLLLsLL </tt>
| |
| | <tt> sLLsLLL sLLsLLL sLL </tt>
|-
| | <tt> LLs LLLsLLs LLLsLLs </tt>
| |
| | <tt> LLsLLLs LLsLLLs LLs </tt>
|-
| | <tt> LsL LLsLLsL LLsLLsL </tt>
| |
| | <tt> LsLLLsL LsLLLsL LsL </tt>
|-
| | <tt> sLL LsLLsLL LsLLsLL </tt>
| |
| | <tt> sLLLsLL sLLLsLL sLL </tt>
|-
| |
| |
| | <tt> LLLsLLs LLLsLLs LLs </tt>
|-
| |
| | <tt> LLsLLsL LLs LLsLLsL </tt>
| | <tt> LLsLLsL LLsLLsL LsL </tt>
|-
| |
| | <tt> LsLLsLL LsL LsLLsLL </tt>
| | <tt> LsLLsLL LsLLsLL sLL </tt>
|-
| |
| | <tt> sLLsLLL sLL sLLsLLL </tt>
| |
|-
| |
| | <tt> LLsLLLs LLs LLsLLLs </tt>
| |
|}
 
[[File:17_12_05_LLLsLLs_LLs_LLLsLLs.png|alt=17_12_05_LLLsLLs_LLs_LLLsLLs.png|17_12_05_LLLsLLs_LLs_LLLsLLs.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 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/12L%205s"&gt;12L+5s&lt;/a&gt;&lt;br /&gt;
17 tones (7+3+7)&lt;br /&gt;
&lt;br /&gt;
Helmholtz / &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&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; = 3.8459060415 (L=&lt;a class="wiki_link" href="/256_243"&gt;256/243&lt;/a&gt;, s=&lt;a class="wiki_link" href="/531441_524288"&gt;531441/524288&lt;/a&gt;)&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 29.4213422908 (4/3 = 5L+1.5s)&lt;br /&gt;
&lt;br /&gt;
L = 70.59 to 100.00 cents (90.22 cents @ P, 98.60 cents @ Q)&lt;br /&gt;
s = 0.00 to 70.59 cents (23.46 cents @ P, 3.35 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+s (200.00 to 211.76 cents)&lt;br /&gt;
4/3 = 5L+2s (494.12 to 500.00 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 29, 41, 46, 53, 65&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; LsLLLsLLsLLsLLLsL &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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsL LsL LsLLLsL &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; sLLLsLL sLL sLLLsLL &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; LLLsLLs LLs LLLsLLs &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 LLsLLsL LLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLsL LsL LLsLLsL &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 LsLLsLL LsLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLL sLL LsLLsLL &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 sLLsLLL sLLsLLL &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; LLs LLsLLLs LLsLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLsL LLsLLsL LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL LsLLLsL LsLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLL LsLLsLL LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL sLLLsLL sLLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLL sLLsLLL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LLLsLLs LLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLLs LLsLLLs LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL LLsLLsL LLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLsL LsLLLsL LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL LsLLsLL LsLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLsLL sLLLsLL 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; LLLsLLs LLLsLLs 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; LLsLLsL LLs LLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLsL LLsLLsL 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; LsLLsLL LsL LsLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLL LsLLsLL 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; sLLsLLL sLL sLLsLLL &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; LLsLLLs LLs LLsLLLs &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;
&lt;!-- ws:start:WikiTextLocalImageRule:152:&amp;lt;img src=&amp;quot;/file/view/17_12_05_LLLsLLs_LLs_LLLsLLs.png/589273876/17_12_05_LLLsLLs_LLs_LLLsLLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17_12_05_LLLsLLs_LLs_LLLsLLs.png/589273876/17_12_05_LLLsLLs_LLs_LLLsLLs.png" alt="17_12_05_LLLsLLs_LLs_LLLsLLs.png" title="17_12_05_LLLsLLs_LLs_LLLsLLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:152 --&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&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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