OTC 7L 3s: 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 20:58:23 UTC</tt>.<br>
[[7L_3s|7L+3s]]
: The original revision id was <tt>590307874</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
[[7L 3s|7L+3s]]
10 tones (4+2+4)
10 tones (4+2+4)


[[Mohajira]] / [[Neutral third scales|neutral-thirds]] [[MODMOS]]; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s
[[Mohajira|Mohajira]] / [[Neutral_third_scales|neutral-thirds]] [[MODMOS|MODMOS]]; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 2.5872804832


[[Gallery of omnitetrachordal scales#perfect|P]] = 2.5872804832
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 7.8650213288 (4/3 = 3L+0.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 7.8650213288 (4/3 = 3L+0.5s)


L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)
L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)
s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)
s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)


9/8 = L+s (171.43 to 240.00 cents)
9/8 = L+s (171.43 to 240.00 cents)
4/3 = 3L+s (480.00 to 514.29 cents)
4/3 = 3L+s (480.00 to 514.29 cents)
MOS generator = 2L+s (342.86 to 360.00 cents)
MOS generator = 2L+s (342.86 to 360.00 cents)


notable EDOs: 17, 24, 27, 31, 37, 41
notable EDOs: 17, 24, 27, 31, 37, 41


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


(Note: both MOS and OTC have two chains of five 3/2s.)
(Note: both MOS and OTC have two chains of five 3/2s.)


all modes:
all modes:
|| {{ Ls LLLs LLLs }} || || {{ LsLL LsLL Ls }} ||
|| {{ sL LLsL LLsL }} || || {{ sLLL sLLL sL }} ||
|| || || {{ LLLs LLLs Ls }} ||
|| || || {{ LLsL LLsL sL }} ||
|| || {{ LsLL Ls LsLL }} || ||
|| || {{ sLLL sL sLLL }} || ||
|| || {{ LLLs Ls LLLs }} || ||
|| || {{ LLsL sL LLsL }} || ||
|| {{ Ls LsLL LsLL }} || || ||
|| {{ sL sLLL sLLL }} || || ||


[[image:10_07_03_sLLL_sL_sLLL.png]]
{| class="wikitable"
|-
| | <tt> Ls LLLs LLLs </tt>
| |
| | <tt> LsLL LsLL Ls </tt>
|-
| | <tt> sL LLsL LLsL </tt>
| |
| | <tt> sLLL sLLL sL </tt>
|-
| |
| |
| | <tt> LLLs LLLs Ls </tt>
|-
| |
| |
| | <tt> LLsL LLsL sL </tt>
|-
| |
| | <tt> LsLL Ls LsLL </tt>
| |
|-
| |
| | <tt> sLLL sL sLLL </tt>
| |
|-
| |
| | <tt> LLLs Ls LLLs </tt>
| |
|-
| |
| | <tt> LLsL sL LLsL </tt>
| |
|-
| | <tt> Ls LsLL LsLL </tt>
| |
| |
|-
| | <tt> sL sLLL sLLL </tt>
| |
| |
|}
 
[[File:10_07_03_sLLL_sL_sLLL.png|alt=10_07_03_sLLL_sL_sLLL.png|10_07_03_sLLL_sL_sLLL.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]]
[[Category:10-tone scales]]
</pre></div>
[[Category:Tempered scales]]
<h4>Original HTML content:</h4>
[[Category:Pages with mostly numerical content]]
<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 7L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
[[Category:MODMOS]]
&lt;a class="wiki_link" href="/7L%203s"&gt;7L+3s&lt;/a&gt;&lt;br /&gt;
[[Category:Omnitetrachordal]]
10 tones (4+2+4)&lt;br /&gt;
[[Category:Mohajira]]
&lt;br /&gt;
[[Category:Neutral]]
&lt;a class="wiki_link" href="/Mohajira"&gt;Mohajira&lt;/a&gt; / &lt;a class="wiki_link" href="/Neutral%20third%20scales"&gt;neutral-thirds&lt;/a&gt; &lt;a class="wiki_link" href="/MODMOS"&gt;MODMOS&lt;/a&gt;; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 2.5872804832&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 7.8650213288 (4/3 = 3L+0.5s)&lt;br /&gt;
&lt;br /&gt;
L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)&lt;br /&gt;
s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+s (171.43 to 240.00 cents)&lt;br /&gt;
4/3 = 3L+s (480.00 to 514.29 cents)&lt;br /&gt;
MOS generator = 2L+s (342.86 to 360.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 17, 24, 27, 31, 37, 41&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLLsLLsLLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;    ||      &lt;/tt&gt; &lt;br /&gt;
&lt;tt&gt; sLLLsLsLLL &lt;/tt&gt; (OTC MODMOS) - chain of 8 generators, 2 orphaned notes&lt;br /&gt;
&lt;br /&gt;
(Note: both MOS and OTC have two chains of five 3/2s.)&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; Ls LLLs LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LsLL Ls &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sL LLsL LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLL sLLL 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; LLLs LLLs 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; LLsL LLsL 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;tt&gt; LsLL Ls LsLL &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; sLLL sL sLLL &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; LLLs Ls LLLs &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; LLsL sL LLsL &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; Ls LsLL LsLL &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 sLLL sLLL &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;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:90:&amp;lt;img src=&amp;quot;/file/view/10_07_03_sLLL_sL_sLLL.png/589273808/10_07_03_sLLL_sL_sLLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/10_07_03_sLLL_sL_sLLL.png/589273808/10_07_03_sLLL_sL_sLLL.png" alt="10_07_03_sLLL_sL_sLLL.png" title="10_07_03_sLLL_sL_sLLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:90 --&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;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 03:08, 24 June 2025

Omnitetrachordal MODMOS scale

7L+3s

10 tones (4+2+4)

Mohajira / neutral-thirds MODMOS; primes 3, 11 better at high L/s; primes 7, 13 better at low L/s

P = 2.5872804832

Q = 7.8650213288 (4/3 = 3L+0.5s)

L = 120.00 to 171.43 cents (147.07 cents @ P, 162.57 cents @ Q)

s = 0.00 to 120.00 cents (56.84 cents @ P, 20.67 cents @ Q)

9/8 = L+s (171.43 to 240.00 cents)

4/3 = 3L+s (480.00 to 514.29 cents)

MOS generator = 2L+s (342.86 to 360.00 cents)

notable EDOs: 17, 24, 27, 31, 37, 41

sLLsLLsLLL (MOS, not OTC)

   ||    

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

(Note: both MOS and OTC have two chains of five 3/2s.)

all modes:

Ls LLLs LLLs LsLL LsLL Ls
sL LLsL LLsL sLLL sLLL sL
LLLs LLLs Ls
LLsL LLsL sL
LsLL Ls LsLL
sLLL sL sLLL
LLLs Ls LLLs
LLsL sL LLsL
Ls LsLL LsLL
sL sLLL sLLL

10_07_03_sLLL_sL_sLLL.png

See also

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