Xenharmonic Wiki

OTC 12L 3s: Difference between revisions

← Older edit
VisualWikitext
Wikispaces>spt3125
**Imported revision 590700274 - Original comment: **
Tags: Manual revert Mobile edit Mobile web edit
 
(4 intermediate revisions by 3 users not shown)
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>2016-08-31 20:40:32 UTC</tt>.<br>
[[12L_3s|12L+3s]]
: The original revision id was <tt>590700274</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
[[12L 3s|12L+3s]]
15 tones (6+3+6)
15 tones (6+3+6)


temperament: [[augmented]]
temperament: [[augmented|augmented]]
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 12.5377181246


[[Gallery of omnitetrachordal scales#perfect|P]] = 12.5377181246
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 38.1131543739 (4/3 = 5L+0.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 38.1131543739 (4/3 = 5L+0.5s)


L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)


9/8 = 2L+s (200.00 to 240.00 cents)
9/8 = 2L+s (200.00 to 240.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS period = 1/3 octave (400.00 cents)
MOS period = 1/3 octave (400.00 cents)


notable EDOs: 27, 39, 51
notable EDOs: 27, 39, 51


{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
<tt> LLLLsLLLLsLLLLs </tt> (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
{{     ||  ||      }}
 
{{ LLLLLsLLsLLLLLs }} (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5
<tt>     ||  ||      </tt>
 
<tt> LLLLLsLLsLLLLLs </tt> (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5


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


all modes:
all modes:
|| {{ LLs LLLLLs LLLLLs }} || || {{ LLsLLL LLsLLL LLs }} ||
|| {{ LsL LLLLsL LLLLsL }} || || {{ LsLLLL LsLLLL LsL }} ||
|| {{ sLL LLLsLL LLLsLL }} || || {{ sLLLLL sLLLLL sLL }} ||
|| || || {{ LLLLLs LLLLLs LLs }} ||
|| || || {{ LLLLsL LLLLsL LsL }} ||
|| || || {{ LLLsLL LLLsLL sLL }} ||
|| || {{ LLsLLL LLs LLsLLL }} || ||
|| || {{ LsLLLL LsL LsLLLL }} || ||
|| || {{ sLLLLL sLL sLLLLL }} || ||
|| || {{ LLLLLs LLs LLLLLs }} || ||
|| || {{ LLLLsL LsL LLLLsL }} || ||
|| || {{ LLLsLL sLL LLLsLL }} || ||
|| {{ LLs LLsLLL LLsLLL }} || || ||
|| {{ LsL LsLLLL LsLLLL }} || || ||
|| {{ sLL sLLLLL sLLLLL }} || || ||


{| class="wikitable"
|-
| | <tt> LLs LLLLLs LLLLLs </tt>
| |
| | <tt> LLsLLL LLsLLL LLs </tt>
|-
| | <tt> LsL LLLLsL LLLLsL </tt>
| |
| | <tt> LsLLLL LsLLLL LsL </tt>
|-
| | <tt> sLL LLLsLL LLLsLL </tt>
| |
| | <tt> sLLLLL sLLLLL sLL </tt>
|-
| |
| |
| | <tt> LLLLLs LLLLLs LLs </tt>
|-
| |
| |
| | <tt> LLLLsL LLLLsL LsL </tt>
|-
| |
| |
| | <tt> LLLsLL LLLsLL sLL </tt>
|-
| |
| | <tt> LLsLLL LLs LLsLLL </tt>
| |
|-
| |
| | <tt> LsLLLL LsL LsLLLL </tt>
| |
|-
| |
| | <tt> sLLLLL sLL sLLLLL </tt>
| |
|-
| |
| | <tt> LLLLLs LLs LLLLLs </tt>
| |
|-
| |
| | <tt> LLLLsL LsL LLLLsL </tt>
| |
|-
| |
| | <tt> LLLsLL sLL LLLsLL </tt>
| |
|-
| | <tt> LLs LLsLLL LLsLLL </tt>
| |
| |
|-
| | <tt> LsL LsLLLL LsLLLL </tt>
| |
| |
|-
| | <tt> sLL sLLLLL sLLLLL </tt>
| |
| |
|}


[[image:15_12_03_LLLLLs_LLs_LLLLLs.png]]
[[File:15_12_03_LLLLLs_LLs_LLLLLs.png|alt=15_12_03_LLLLLs_LLs_LLLLLs.png|15_12_03_LLLLLs_LLs_LLLLLs.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:15-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 12L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
[[Category:MODMOS]]
&lt;a class="wiki_link" href="/12L%203s"&gt;12L+3s&lt;/a&gt;&lt;br /&gt;
[[Category:Omnitetrachordal]]
15 tones (6+3+6)&lt;br /&gt;
[[Category:Augmented]]
&lt;br /&gt;
temperament: &lt;a class="wiki_link" href="/augmented"&gt;augmented&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 12.5377181246&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 38.1131543739 (4/3 = 5L+0.5s)&lt;br /&gt;
&lt;br /&gt;
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)&lt;br /&gt;
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+s (200.00 to 240.00 cents)&lt;br /&gt;
4/3 = 5L+s (480.00 to 500.00 cents)&lt;br /&gt;
MOS generator = L (80.0 to 100.0 cents)&lt;br /&gt;
MOS period = 1/3 octave (400.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 27, 39, 51&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLLsLLLLsLLLLs &lt;/tt&gt; (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5&lt;br /&gt;
&lt;tt&gt;     ||  ||      &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLLLsLLsLLLLLs &lt;/tt&gt; (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; LsLLLLLsLLLLLsL &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;tt&gt; LLs LLLLLs LLLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLL LLsLLL LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL LLLLsL LLLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLLL LsLLLL LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL LLLsLL LLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLLLL sLLLLL sLL &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; LLLLLs LLLLLs LLs &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; LLLLsL LLLLsL LsL &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; LLLsLL LLLsLL sLL &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; LLsLLL LLs LLsLLL &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; LsLLLL LsL LsLLLL &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; sLLLLL sLL sLLLLL &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; LLLLLs LLs LLLLLs &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; LLLLsL LsL LLLLsL &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; LLLsLL sLL LLLsLL &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; LLs LLsLLL LLsLLL &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; LsL LsLLLL LsLLLL &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; sLL sLLLLL sLLLLL &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;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:130:&amp;lt;img src=&amp;quot;/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png" alt="15_12_03_LLLLLs_LLs_LLLLLs.png" title="15_12_03_LLLLLs_LLs_LLLLLs.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:130 --&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>
Retrieved from "https://en.xen.wiki/w/OTC_12L_3s"