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OTC 2L 5s: Difference between revisions

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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 20:40:55 UTC</tt>.<br>
[[2L_5s|2L+5s]]
: The original revision id was <tt>590306924</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 5s|2L+5s]]
7 tones (3+1+3)
7 tones (3+1+3)


The [[Mavila Temperament Modal Harmony|mavila]] diatonic scale. [[Gallery of omnitetrachordal scales#dual|Dual]] of [[OTC 5L 2s|OTC 5L+2s]]. "Best" for low values of L/s.
The [[Mavila_Temperament_Modal_Harmony|mavila]] diatonic scale. [[Gallery_of_omnitetrachordal_scales#dual|Dual]] of [[OTC_5L_2s|OTC 5L+2s]]. "Best" for low values of L/s.


[[Gallery of omnitetrachordal scales#perfect|P]] = 0.4424745962
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 0.4424745962
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.3849491924 (4/3 = L+1.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 3.3849491924 (4/3 = L+1.5s)


L = 171.43 to 600.00 cents (345.11 cents @ Q)
L = 171.43 to 600.00 cents (345.11 cents @ Q)
s = 0.00 to 171.43 cents (101.96 cents @ Q)
s = 0.00 to 171.43 cents (101.96 cents @ Q)


9/8 = s (0.00 to 171.43 cents)
9/8 = s (0.00 to 171.43 cents)
4/3 = L+2s (514.29 to 600.00 cents)
4/3 = L+2s (514.29 to 600.00 cents)
generator = 4/3
generator = 4/3


notable EDOs: 9, 11, 16, 23
notable EDOs: 9, 11, 16, 23


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


all modes:
all modes:
|| || {{ Lss s Lss }} || ||
|| {{ s ssL ssL }} || || ||
|| {{ s sLs sLs }} || || {{ ssL ssL s }} ||
|| {{ s Lss Lss }} || || {{ sLs sLs s }} ||
|| || || {{ Lss Lss s }} ||
|| || {{ ssL s ssL }} || ||
|| || {{ sLs s sLs }} || ||


[[image:07_02_05_sLs_s_sLs.png]]
{| class="wikitable"
|-
| |
| | <tt> Lss s Lss </tt>
| |
|-
| | <tt> s ssL ssL </tt>
| |
| |
|-
| | <tt> s sLs sLs </tt>
| |
| | <tt> ssL ssL s </tt>
|-
| | <tt> s Lss Lss </tt>
| |
| | <tt> sLs sLs s </tt>
|-
| |
| |
| | <tt> Lss Lss s </tt>
|-
| |
| | <tt> ssL s ssL </tt>
| |
|-
| |
| | <tt> sLs s sLs </tt>
| |
|}
 
[[File:07_02_05_sLs_s_sLs.png|alt=07_02_05_sLs_s_sLs.png|07_02_05_sLs_s_sLs.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 2L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/2L%205s"&gt;2L+5s&lt;/a&gt;&lt;br /&gt;
7 tones (3+1+3)&lt;br /&gt;
&lt;br /&gt;
The &lt;a class="wiki_link" href="/Mavila%20Temperament%20Modal%20Harmony"&gt;mavila&lt;/a&gt; diatonic scale. &lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#dual"&gt;Dual&lt;/a&gt; of &lt;a class="wiki_link" href="/OTC%205L%202s"&gt;OTC 5L+2s&lt;/a&gt;. &amp;quot;Best&amp;quot; for low values of L/s.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 0.4424745962&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 3.3849491924 (4/3 = L+1.5s)&lt;br /&gt;
&lt;br /&gt;
L = 171.43 to 600.00 cents (345.11 cents @ Q)&lt;br /&gt;
s = 0.00 to 171.43 cents (101.96 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = s (0.00 to 171.43 cents)&lt;br /&gt;
4/3 = L+2s (514.29 to 600.00 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 9, 11, 16, 23&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; sLsssLs &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; Lss s Lss &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; s ssL ssL &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; s sLs sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssL ssL s &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; s Lss Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLs sLs s &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; Lss Lss s &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; ssL s ssL &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; sLs s sLs &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:72:&amp;lt;img src=&amp;quot;/file/view/07_02_05_sLs_s_sLs.png/589273778/07_02_05_sLs_s_sLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/07_02_05_sLs_s_sLs.png/589273778/07_02_05_sLs_s_sLs.png" alt="07_02_05_sLs_s_sLs.png" title="07_02_05_sLs_s_sLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:72 --&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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