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>

Revision as of 00:00, 17 July 2018

Omnitetrachordal MODMOS scale

12L+2s

14 tones (6+2+6)

Injera MODMOS. Imperfect (P<0); best for L/s >= 1.5

P = -8.6918120831

Q = 16.8836241662 (4/3 = 5L+0.5s)

L = 85.71 to 100.00 cents (99.02 cents @ Q)

s = 0.00 to 85.71 cents (5.87 cents @ Q)

9/8 = 2L (171.43 to 200.00 cents)

4/3 = 5L+s (500.00 to 514.28 cents)

MOS generator = L (85.7 to 100.0 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 26, 38, 40, 50

LLLLLLsLLLLLLs (MOS, not OTC)

      ||      

LLLLLLLsLLLLLs (OTC MODMOS) - gc 8,6

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

14_12_02_sLLLLL_LL_sLLLLL.png

See also

References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.
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