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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>2016-08-28 20:28:09 UTC</tt>.<br>
[[2L_3s|2L+3s]]
: The original revision id was <tt>590306360</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
[[2L 3s|2L+3s]]
5 tones (2+1+2)
5 tones (2+1+2)


The classic pentatonic scale. Can include [[superpyth]], [[https://en.wikipedia.org/wiki/Pythagorean_tuning|Pythagorean]], [[meantone]], and [[Mavila Temperament Modal Harmony|mavila]] tunings.  [[{$page}#ref1|(1)]]
The classic pentatonic scale. Can include [[Superpyth|superpyth]], [https://en.wikipedia.org/wiki/Pythagorean_tuning Pythagorean], [[Meantone|meantone]], and [[Mavila_Temperament_Modal_Harmony|mavila]] tunings.  [[OTC_2L_3s#ref1|(1)]]


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.4424745962 (L=[[32_27|32/27]], s=9/8)
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.4424745962 (L=[[32/27|32/27]], s=9/8)
[[Gallery of omnitetrachordal scales#Q|Q]] = 4.3849491924 (4/3 = L+0.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 4.3849491924 (4/3 = L+0.5s)


L = 240.00 to 600.00 cents (294.13 cents @ P, 447.07 cents @ Q)
L = 240.00 to 600.00 cents (294.13 cents @ P, 447.07 cents @ Q)
s = 0.00 to 240.00 cents (203.91 cents @ P, 101.96 cents @ Q)
s = 0.00 to 240.00 cents (203.91 cents @ P, 101.96 cents @ Q)


9/8 = s (0.00 to 240.00 cents)
9/8 = s (0.00 to 240.00 cents)
4/3 = L+s (480.00 to 600.00 cents)
4/3 = L+s (480.00 to 600.00 cents)
generator = 4/3
generator = 4/3


notable [[EDO]]s: 7, 9, 12, 16, 17, 19, 22, 26, 29, 31
notable [[EDO|EDO]]s: 7, 9, 12, 16, 17, 19, 22, 26, 29, 31


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


all modes:
all modes:
|| || {{ sL s sL }} || ||=  [[Modal UDP Notation|1|3]]  ||
|| || {{ Ls s Ls }} || ||= 3|1 ||
|| {{ s sL sL }} || || ||= 0|4 ||
|| {{ s Ls Ls }} || || {{ sL sL s }} ||= 2|2 ||
|| || || {{ Ls Ls s }} ||= 4|0 ||


[[image:05_02_03_sL_s_sL.png]]
{| class="wikitable"
|-
| |
| | <tt> sL s sL </tt>
| |
| style="text-align:center;" |  [[Modal_UDP_Notation|1|3]] 
|-
| |
| | <tt> Ls s Ls </tt>
| |
| style="text-align:center;" | 3|1
|-
| | <tt> s sL sL </tt>
| |
| |
| style="text-align:center;" | 0|4
|-
| | <tt> s Ls Ls </tt>
| |
| | <tt> sL sL s </tt>
| style="text-align:center;" | 2|2
|-
| |
| |
| | <tt> Ls Ls s </tt>
| style="text-align:center;" | 4|0
|}
 
[[File:05_02_03_sL_s_sL.png|alt=05_02_03_sL_s_sL.png|05_02_03_sL_s_sL.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===
* [[#ref1]](1) 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]].</pre></div>
<ul><li>(1) 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>
<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 2L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/2L%203s"&gt;2L+3s&lt;/a&gt;&lt;br /&gt;
5 tones (2+1+2)&lt;br /&gt;
&lt;br /&gt;
The classic pentatonic scale. Can include &lt;a class="wiki_link" href="/superpyth"&gt;superpyth&lt;/a&gt;, &lt;a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Pythagorean_tuning" rel="nofollow"&gt;Pythagorean&lt;/a&gt;, &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt;, and &lt;a class="wiki_link" href="/Mavila%20Temperament%20Modal%20Harmony"&gt;mavila&lt;/a&gt; tunings.  &lt;!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#ref1|(1)]] --&gt;&lt;a class="wiki_link" href="/OTC%202L%203s#ref1"&gt;(1)&lt;/a&gt;&lt;!-- ws:end:WikiTextVariableComponentRule:01 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 1.4424745962 (L=&lt;a class="wiki_link" href="/32_27"&gt;32/27&lt;/a&gt;, s=9/8)&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 4.3849491924 (4/3 = L+0.5s)&lt;br /&gt;
&lt;br /&gt;
L = 240.00 to 600.00 cents (294.13 cents @ P, 447.07 cents @ Q)&lt;br /&gt;
s = 0.00 to 240.00 cents (203.91 cents @ P, 101.96 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = s (0.00 to 240.00 cents)&lt;br /&gt;
4/3 = L+s (480.00 to 600.00 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s: 7, 9, 12, 16, 17, 19, 22, 26, 29, 31&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; sLsLs &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; sL s sL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt; &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;1|3&lt;/a&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; Ls s Ls &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;3|1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; s sL sL &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;td style="text-align: center;"&gt;0|4&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; s Ls Ls &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sL sL s &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;2|2&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; Ls Ls s &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;4|0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:69:&amp;lt;img src=&amp;quot;/file/view/05_02_03_sL_s_sL.png/589273764/05_02_03_sL_s_sL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/05_02_03_sL_s_sL.png/589273764/05_02_03_sL_s_sL.png" alt="05_02_03_sL_s_sL.png" title="05_02_03_sL_s_sL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:69 --&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;&lt;!-- ws:start:WikiTextAnchorRule:6:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@ref1&amp;quot; title=&amp;quot;Anchor: ref1&amp;quot;/&amp;gt; --&gt;&lt;a name="ref1"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:6 --&gt;(1) 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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