OTC 8L 2s: 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 21:00:48 UTC</tt>.<br>
[[8L_2s|8L+2s]]
: The original revision id was <tt>590307986</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
[[8L 2s|8L+2s]]
10 tones (4+2+4)
10 tones (4+2+4)


The dual of [[OTC 2L 8s|OTC 2L+8s]], this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.
The dual of [[OTC_2L_8s|OTC 2L+8s]], this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.


temperaments: octokaidecal, supersharp, fifives, bisemidim?
temperaments: octokaidecal, supersharp, fifives, bisemidim?
Line 17: Line 12:


L = 120.00 to 150.00 cents
L = 120.00 to 150.00 cents
s = 0.00 to 120.00 cents
s = 0.00 to 120.00 cents


9/8 = 2L (240.00 to 300.00 cents)
9/8 = 2L (240.00 to 300.00 cents)
4/3 = 3L+s (450.00 to 480.00 cents)
4/3 = 3L+s (450.00 to 480.00 cents)
MOS generator = L (120.00 to 150.00 cents)
MOS generator = L (120.00 to 150.00 cents)
MOS period = 1/2 octave (600.00 cents)
MOS period = 1/2 octave (600.00 cents)


notable EDOs: 18, 26b
notable EDOs: 18, 26b


{{ LsLLLLsLLL }} (MOS, not OTC)
<tt> LsLLLLsLLL </tt> (MOS, not OTC)
{{  ||        }}
{{ LLsLLLsLLL }} (OTC MODMOS) - gen chains of 6, 4 notes


all modes:
<tt>  ||        </tt>
|| || {{ LLLs LL LLLs }} || ||
|| || {{ LLsL LL LLsL }} || ||
|| || {{ LsLL LL LsLL }} || ||
|| || {{ sLLL LL sLLL }} || ||
|| {{ LL LLLs LLLs }} || || ||
|| {{ LL LLsL LLsL }} || || ||
|| {{ LL LsLL LsLL }} || || {{ LLLs LLLs LL }} ||
|| {{ LL sLLL sLLL }} || || {{ LLsL LLsL LL }} ||
|| || || {{ LsLL LsLL LL }} ||
|| || || {{ sLLL sLLL LL }} ||


[[image:10_08_02_LsLL_LL_LsLL.png]]
<tt> LLsLLLsLLL </tt> (OTC MODMOS) - gen chains of 6, 4 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 8L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/8L%202s"&gt;8L+2s&lt;/a&gt;&lt;br /&gt;
10 tones (4+2+4)&lt;br /&gt;
&lt;br /&gt;
The dual of &lt;a class="wiki_link" href="/OTC%202L%208s"&gt;OTC 2L+8s&lt;/a&gt;, this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.&lt;br /&gt;
&lt;br /&gt;
temperaments: octokaidecal, supersharp, fifives, bisemidim?&lt;br /&gt;
&lt;br /&gt;
P = 0.5305182782&lt;br /&gt;
&lt;br /&gt;
L = 120.00 to 150.00 cents&lt;br /&gt;
s = 0.00 to 120.00 cents&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L (240.00 to 300.00 cents)&lt;br /&gt;
4/3 = 3L+s (450.00 to 480.00 cents)&lt;br /&gt;
MOS generator = L (120.00 to 150.00 cents)&lt;br /&gt;
MOS period = 1/2 octave (600.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 18, 26b&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLLLLsLLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||        &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLsLLLsLLL &lt;/tt&gt; (OTC MODMOS) - gen chains of 6, 4 notes&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> LLLs LL LLLs </tt>
| |
|-
| |
| | <tt> LLsL LL LLsL </tt>
| |
|-
| |
| | <tt> LsLL LL LsLL </tt>
| |
|-
| |
| | <tt> sLLL LL sLLL </tt>
| |
|-
| | <tt> LL LLLs LLLs </tt>
| |
| |
|-
| | <tt> LL LLsL LLsL </tt>
| |
| |
|-
| | <tt> LL LsLL LsLL </tt>
| |
| | <tt> LLLs LLLs LL </tt>
|-
| | <tt> LL sLLL sLLL </tt>
| |
| | <tt> LLsL LLsL LL </tt>
|-
| |
| |
| | <tt> LsLL LsLL LL </tt>
|-
| |
| |
| | <tt> sLLL sLLL LL </tt>
|}


&lt;table class="wiki_table"&gt;
[[File:10_08_02_LsLL_LL_LsLL.png|alt=10_08_02_LsLL_LL_LsLL.png|10_08_02_LsLL_LL_LsLL.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LL 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 LL 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LL 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 LL 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;tt&gt; LL LLLs LLLs &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; LL LLsL LLsL &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; LL LsLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LLLs LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL sLLL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsL LLsL LL &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; LsLL LsLL LL &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; sLLL sLLL LL &lt;/tt&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_08_02_LsLL_LL_LsLL.png/589273812/10_08_02_LsLL_LL_LsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/10_08_02_LsLL_LL_LsLL.png/589273812/10_08_02_LsLL_LL_LsLL.png" alt="10_08_02_LsLL_LL_LsLL.png" title="10_08_02_LsLL_LL_LsLL.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>