OTC 12L 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 22:32:27 UTC</tt>.<br>
[[12L_2s|12L+2s]]
: The original revision id was <tt>590313290</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 2s|12L+2s]]
14 tones (6+2+6)
14 tones (6+2+6)


[[Injera]] MODMOS.  Imperfect (P&lt;0); best for L/s &gt;= 1.5
[[Injera|Injera]] MODMOS.  Imperfect (P&lt;0); best for L/s &gt;= 1.5
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = -8.6918120831


[[Gallery of omnitetrachordal scales#perfect|P]] = -8.6918120831
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 16.8836241662 (4/3 = 5L+0.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 16.8836241662 (4/3 = 5L+0.5s)


L = 85.71 to 100.00 cents (99.02 cents @ Q)
L = 85.71 to 100.00 cents (99.02 cents @ Q)
s = 0.00 to 85.71 cents (5.87 cents @ Q)
s = 0.00 to 85.71 cents (5.87 cents @ Q)


9/8 = 2L (171.43 to 200.00 cents)
9/8 = 2L (171.43 to 200.00 cents)
4/3 = 5L+s (500.00 to 514.28 cents)
4/3 = 5L+s (500.00 to 514.28 cents)
MOS generator = L (85.7 to 100.0 cents)
MOS generator = L (85.7 to 100.0 cents)
MOS [[periods and generators|period]] = 1/2 octave (600.00 cents)
 
MOS [[periods_and_generators|period]] = 1/2 octave (600.00 cents)


notable EDOs: 26, 38, 40, 50
notable EDOs: 26, 38, 40, 50


{{ LLLLLLsLLLLLLs }} (MOS, not OTC)
<tt> LLLLLLsLLLLLLs </tt> (MOS, not OTC)
{{       ||       }}
 
{{ LLLLLLLsLLLLLs }} (OTC MODMOS) - gc 8,6
<tt>       ||       </tt>
 
<tt> LLLLLLLsLLLLLs </tt> (OTC MODMOS) - gc 8,6


all modes:
all modes:
|| {{ LL LLLLLs LLLLLs }} || || ||
|| {{ LL LLLLsL LLLLsL }} || || ||
|| {{ LL LLLsLL LLLsLL }} || || {{ LLLLLs LLLLLs LL }} ||
|| {{ LL LLsLLL LLsLLL }} || || {{ LLLLsL LLLLsL LL }} ||
|| {{ LL LsLLLL LsLLLL }} || || {{ LLLsLL LLLsLL LL }} ||
|| {{ LL sLLLLL sLLLLL }} || || {{ LLsLLL LLsLLL LL }} ||
|| || || {{ LsLLLL LsLLLL LL }} ||
|| || || {{ sLLLLL sLLLLL LL }} ||
|| || {{ LLLLLs LL LLLLLs }} || ||
|| || {{ LLLLsL LL LLLLsL }} || ||
|| || {{ LLLsLL LL LLLsLL }} || ||
|| || {{ LLsLLL LL LLsLLL }} || ||
|| || {{ LsLLLL LL LsLLLL }} || ||
|| || {{ sLLLLL LL sLLLLL }} || ||


[[image:14_12_02_sLLLLL_LL_sLLLLL.png]]
{| class="wikitable"
|-
| | <tt> LL LLLLLs LLLLLs </tt>
| |
| |
|-
| | <tt> LL LLLLsL LLLLsL </tt>
| |
| |
|-
| | <tt> LL LLLsLL LLLsLL </tt>
| |
| | <tt> LLLLLs LLLLLs LL </tt>
|-
| | <tt> LL LLsLLL LLsLLL </tt>
| |
| | <tt> LLLLsL LLLLsL LL </tt>
|-
| | <tt> LL LsLLLL LsLLLL </tt>
| |
| | <tt> LLLsLL LLLsLL LL </tt>
|-
| | <tt> LL sLLLLL sLLLLL </tt>
| |
| | <tt> LLsLLL LLsLLL LL </tt>
|-
| |
| |
| | <tt> LsLLLL LsLLLL LL </tt>
|-
| |
| |
| | <tt> sLLLLL sLLLLL LL </tt>
|-
| |
| | <tt> LLLLLs LL LLLLLs </tt>
| |
|-
| |
| | <tt> LLLLsL LL LLLLsL </tt>
| |
|-
| |
| | <tt> LLLsLL LL LLLsLL </tt>
| |
|-
| |
| | <tt> LLsLLL LL LLsLLL </tt>
| |
|-
| |
| | <tt> LsLLLL LL LsLLLL </tt>
| |
|-
| |
| | <tt> sLLLLL LL sLLLLL </tt>
| |
|}
 
[[File:14_12_02_sLLLLL_LL_sLLLLL.png|alt=14_12_02_sLLLLL_LL_sLLLLL.png|14_12_02_sLLLLL_LL_sLLLLL.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]]


===References===
===References===
* Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [[http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685|3685]] and [[http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987|10987]].
<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685 3685] and [http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987 10987].</li></ul>
</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 12L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/12L%202s"&gt;12L+2s&lt;/a&gt;&lt;br /&gt;
14 tones (6+2+6)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Injera"&gt;Injera&lt;/a&gt; MODMOS.  Imperfect (P&amp;lt;0); best for L/s &amp;gt;= 1.5&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = -8.6918120831&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 16.8836241662 (4/3 = 5L+0.5s)&lt;br /&gt;
&lt;br /&gt;
L = 85.71 to 100.00 cents (99.02 cents @ Q)&lt;br /&gt;
s = 0.00 to 85.71 cents (5.87 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L (171.43 to 200.00 cents)&lt;br /&gt;
4/3 = 5L+s (500.00 to 514.28 cents)&lt;br /&gt;
MOS generator = L (85.7 to 100.0 cents)&lt;br /&gt;
MOS &lt;a class="wiki_link" href="/periods%20and%20generators"&gt;period&lt;/a&gt; = 1/2 octave (600.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 26, 38, 40, 50&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLLLLsLLLLLLs &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;       ||       &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLLLLLLsLLLLLs &lt;/tt&gt; (OTC MODMOS) - gc 8,6&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; LL LLLLLs LLLLLs &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 LLLLsL LLLLsL &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 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; LLLLLs LLLLLs LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL LLsLLL LLsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLLsL LLLLsL LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL LsLLLL LsLLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsLL LLLsLL LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL sLLLLL sLLLLL &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 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; LsLLLL LsLLLL 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; sLLLLL sLLLLL 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;tt&gt; LLLLLs LL 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 LL 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 LL 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLL LL 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 LL 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 LL sLLLLL &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;
&lt;!-- ws:start:WikiTextLocalImageRule:128:&amp;lt;img src=&amp;quot;/file/view/14_12_02_sLLLLL_LL_sLLLLL.png/589273852/14_12_02_sLLLLL_LL_sLLLLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/14_12_02_sLLLLL_LL_sLLLLL.png/589273852/14_12_02_sLLLLL_LL_sLLLLL.png" alt="14_12_02_sLLLLL_LL_sLLLLL.png" title="14_12_02_sLLLLL_LL_sLLLLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:128 --&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;References&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow"&gt;3685&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow"&gt;10987&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>