OTC 7L 3s: Difference between revisions

Wikispaces>spt3125
**Imported revision 590307874 - Original comment: **
 
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<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]]
</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 7L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%203s"&gt;7L+3s&lt;/a&gt;&lt;br /&gt;
10 tones (4+2+4)&lt;br /&gt;
&lt;br /&gt;
&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>