OTC 3L 7s: 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>2016-08-28 20:48:09 UTC</tt>.<br>
[[3L_7s|3L+7s]]
: The original revision id was <tt>590307356</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
[[3L 7s|3L+7s]]
10 tones (4+2+4)
10 tones (4+2+4)


The imperfect [[Gallery of omnitetrachordal scales#dual|dual]] of [[OTC 7L 3s|OTC 7L+3s]], this scale pattern barely qualifies as omnitetrachordal.
The imperfect [[Gallery_of_omnitetrachordal_scales#dual|dual]] of [[OTC_7L_3s|OTC 7L+3s]], this scale pattern barely qualifies as omnitetrachordal.


temperaments: sephiroth, sharp, dicot, contorted ripple?
temperaments: sephiroth, sharp, dicot, contorted ripple?


[[Gallery of omnitetrachordal scales#perfect|P]] = 0.3865062201
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 0.3865062201
[[Gallery of omnitetrachordal scales#Q|Q]] = 2.4263858852 (4/3 = L+3.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 2.4263858852 (4/3 = L+3.5s)


L = 120.00 to 400.00 cents (203.91 cents @ Q)
L = 120.00 to 400.00 cents (203.91 cents @ Q)
s = 0.00 to 120.00 cents (84.04 cents @ Q)
s = 0.00 to 120.00 cents (84.04 cents @ Q)


9/8 = L+s (240.00 to 400.00 cents)
9/8 = L+s (240.00 to 400.00 cents)
4/3 = L+3s (400.00 to 480.00 cents)
4/3 = L+3s (400.00 to 480.00 cents)
MOS generator = L+2s (360.00 to 400.00 cents)
MOS generator = L+2s (360.00 to 400.00 cents)


notable EDOs: 13, 16b, 23b
notable EDOs: 13, 16b, 23b


{{ LssLssLsss }} (MOS, not OTC)
<tt> LssLssLsss </tt> (MOS, not OTC)
{{     ||     }}
{{ LsssLsLsss }} (OTC MODMOS) - chain of 8 generators, with 2 orphaned notes


all modes:
<tt>     ||     </tt>
|| || {{ Lsss Ls Lsss }} || ||
|| || {{ sssL sL sssL }} || ||
|| || {{ ssLs Ls ssLs }} || ||
|| {{ sL sLss sLss }} || || ||
|| {{ Ls Lsss Lsss }} || || ||
|| {{ sL sssL sssL }} || || {{ sLss sLss sL }} ||
|| {{ Ls ssLs ssLs }} || || {{ Lsss Lsss Ls }} ||
|| || || {{ sssL sssL sL }} ||
|| || || {{ ssLs ssLs Ls }} ||
|| || {{ sLss sL sLss }} || ||


[[image:10_03_07_Lsss_Ls_Lsss.png]]
<tt> LsssLsLsss </tt> (OTC MODMOS) - chain of 8 generators, with 2 orphaned notes


===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 3L 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/3L%207s"&gt;3L+7s&lt;/a&gt;&lt;br /&gt;
10 tones (4+2+4)&lt;br /&gt;
&lt;br /&gt;
The imperfect &lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#dual"&gt;dual&lt;/a&gt; of &lt;a class="wiki_link" href="/OTC%207L%203s"&gt;OTC 7L+3s&lt;/a&gt;, this scale pattern barely qualifies as omnitetrachordal.&lt;br /&gt;
&lt;br /&gt;
temperaments: sephiroth, sharp, dicot, contorted ripple?&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 0.3865062201&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 2.4263858852 (4/3 = L+3.5s)&lt;br /&gt;
&lt;br /&gt;
L = 120.00 to 400.00 cents (203.91 cents @ Q)&lt;br /&gt;
s = 0.00 to 120.00 cents (84.04 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+s (240.00 to 400.00 cents)&lt;br /&gt;
4/3 = L+3s (400.00 to 480.00 cents)&lt;br /&gt;
MOS generator = L+2s (360.00 to 400.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 13, 16b, 23b&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LssLssLsss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;     ||     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsssLsLsss &lt;/tt&gt; (OTC MODMOS) - chain of 8 generators, with 2 orphaned notes&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> Lsss Ls Lsss </tt>
| |
|-
| |
| | <tt> sssL sL sssL </tt>
| |
|-
| |
| | <tt> ssLs Ls ssLs </tt>
| |
|-
| | <tt> sL sLss sLss </tt>
| |
| |
|-
| | <tt> Ls Lsss Lsss </tt>
| |
| |
|-
| | <tt> sL sssL sssL </tt>
| |
| | <tt> sLss sLss sL </tt>
|-
| | <tt> Ls ssLs ssLs </tt>
| |
| | <tt> Lsss Lsss Ls </tt>
|-
| |
| |
| | <tt> sssL sssL sL </tt>
|-
| |
| |
| | <tt> ssLs ssLs Ls </tt>
|-
| |
| | <tt> sLss sL sLss </tt>
| |
|}


&lt;table class="wiki_table"&gt;
[[File:10_03_07_Lsss_Ls_Lsss.png|alt=10_03_07_Lsss_Ls_Lsss.png|10_03_07_Lsss_Ls_Lsss.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; Lsss Ls Lsss &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; sssL sL sssL &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; ssLs Ls ssLs &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; sL sLss sLss &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; Ls Lsss Lsss &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; sL sssL sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLss sLss sL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Ls ssLs ssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; Lsss Lsss Ls &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; sssL sssL sL &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; ssLs ssLs Ls &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; sLss sL sLss &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:90:&amp;lt;img src=&amp;quot;/file/view/10_03_07_Lsss_Ls_Lsss.png/589273794/10_03_07_Lsss_Ls_Lsss.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/10_03_07_Lsss_Ls_Lsss.png/589273794/10_03_07_Lsss_Ls_Lsss.png" alt="10_03_07_Lsss_Ls_Lsss.png" title="10_03_07_Lsss_Ls_Lsss.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:90 --&gt;&lt;br /&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&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;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Omnitetrachordal MODMOS scale

3L+7s

10 tones (4+2+4)

The imperfect dual of OTC 7L+3s, this scale pattern barely qualifies as omnitetrachordal.

temperaments: sephiroth, sharp, dicot, contorted ripple?

P = 0.3865062201

Q = 2.4263858852 (4/3 = L+3.5s)

L = 120.00 to 400.00 cents (203.91 cents @ Q)

s = 0.00 to 120.00 cents (84.04 cents @ Q)

9/8 = L+s (240.00 to 400.00 cents)

4/3 = L+3s (400.00 to 480.00 cents)

MOS generator = L+2s (360.00 to 400.00 cents)

notable EDOs: 13, 16b, 23b

LssLssLsss (MOS, not OTC)

    ||    

LsssLsLsss (OTC MODMOS) - chain of 8 generators, with 2 orphaned notes

all modes:

Lsss Ls Lsss
sssL sL sssL
ssLs Ls ssLs
sL sLss sLss
Ls Lsss Lsss
sL sssL sssL sLss sLss sL
Ls ssLs ssLs Lsss Lsss Ls
sssL sssL sL
ssLs ssLs Ls
sLss sL sLss

10_03_07_Lsss_Ls_Lsss.png

See also