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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal MOS 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 21:05:47 UTC</tt>.<br>
[[12L_7s|12L+7s]]
: The original revision id was <tt>590701396</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 MOS scale
[[12L 7s|12L+7s]]
19 tones (8+3+8)
19 tones (8+3+8)


[[Meantone]] MOS; [[Gallery of omnitetrachordal scales#perfect|P]]&lt;0 (oddly, neither this scale nor its [[{$page}#dual|dual]] can be tuned with a perfect 3/2!)
[[Meantone|Meantone]] MOS; [[Gallery_of_omnitetrachordal_scales#perfect|P]]&lt;0 (oddly, neither this scale nor its [[OTC_12L_7s#dual|dual]] can be tuned with a perfect 3/2!)


P = -4.8459060415
P = -4.8459060415
[[Gallery of omnitetrachordal scales#Q|Q]] = 20.7295302077 (4/3 = 5L+2.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 20.7295302077 (4/3 = 5L+2.5s)


L = 63.16 to 100.00 cents (97.26 cents @ Q)
L = 63.16 to 100.00 cents (97.26 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)


9/8 = 2L+s (189.47 to 200.00 cents)
9/8 = 2L+s (189.47 to 200.00 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
generator = 4/3
generator = 4/3


notable EDOs: 31, 43, 50, 55
notable EDOs: 31, 43, 50, 55


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


all modes:
all modes:
|| {{ LsL LsLsLLsL LsLsLLsL }} || || {{ LsLLsLsL LsLLsLsL LsL }} ||
|| {{ sLL sLsLLsLL sLsLLsLL }} || || {{ sLLsLsLL sLLsLsLL sLL }} ||
|| {{ LLs LsLLsLLs LsLLsLLs }} || || {{ LLsLsLLs LLsLsLLs LLs }} ||
|| {{ LsL sLLsLLsL sLLsLLsL }} || || {{ LsLsLLsL LsLsLLsL LsL }} ||
|| || || {{ sLsLLsLL sLsLLsLL sLL }} ||
|| || {{ LsLLsLLs LsL LsLLsLLs }} || {{ LsLLsLLs LsLLsLLs LLs }} ||
|| || {{ sLLsLLsL sLL sLLsLLsL }} || {{ sLLsLLsL sLLsLLsL LsL }} ||
|| || {{ LLsLLsLs LLs LLsLLsLs }} || ||
|| || {{ LsLLsLsL LsL LsLLsLsL }} || ||
|| || {{ sLLsLsLL sLL sLLsLsLL }} || ||
|| || {{ LLsLsLLs LLs LLsLsLLs }} || ||
|| || {{ LsLsLLsL LsL LsLsLLsL }} || ||
|| || {{ sLsLLsLL sLL sLsLLsLL }} || ||
|| {{ LsL LsLLsLLs LsLLsLLs }} || {{ LsLLsLLs LLs LsLLsLLs }} || ||
|| {{ sLL sLLsLLsL sLLsLLsL }} || {{ sLLsLLsL LsL sLLsLLsL }} || ||
|| {{ LLs LLsLLsLs LLsLLsLs }} || || ||
|| {{ LsL LsLLsLsL LsLLsLsL }} || || {{ LsLLsLLs LsLLsLLs LsL }} ||
|| {{ sLL sLLsLsLL sLLsLsLL }} || || {{ sLLsLLsL sLLsLLsL sLL }} ||
|| {{ LLs LLsLsLLs LLsLsLLs }} || || {{ LLsLLsLs LLsLLsLs LLs }} ||


[[image:19_12_07_sLLsLsLL_sLL_sLLsLsLL.png]]
{| class="wikitable"
|-
| | <tt> LsL LsLsLLsL LsLsLLsL </tt>
| |
| | <tt> LsLLsLsL LsLLsLsL LsL </tt>
|-
| | <tt> sLL sLsLLsLL sLsLLsLL </tt>
| |
| | <tt> sLLsLsLL sLLsLsLL sLL </tt>
|-
| | <tt> LLs LsLLsLLs LsLLsLLs </tt>
| |
| | <tt> LLsLsLLs LLsLsLLs LLs </tt>
|-
| | <tt> LsL sLLsLLsL sLLsLLsL </tt>
| |
| | <tt> LsLsLLsL LsLsLLsL LsL </tt>
|-
| |
| |
| | <tt> sLsLLsLL sLsLLsLL sLL </tt>
|-
| |
| | <tt> LsLLsLLs LsL LsLLsLLs </tt>
| | <tt> LsLLsLLs LsLLsLLs LLs </tt>
|-
| |
| | <tt> sLLsLLsL sLL sLLsLLsL </tt>
| | <tt> sLLsLLsL sLLsLLsL LsL </tt>
|-
| |
| | <tt> LLsLLsLs LLs LLsLLsLs </tt>
| |
|-
| |
| | <tt> LsLLsLsL LsL LsLLsLsL </tt>
| |
|-
| |
| | <tt> sLLsLsLL sLL sLLsLsLL </tt>
| |
|-
| |
| | <tt> LLsLsLLs LLs LLsLsLLs </tt>
| |
|-
| |
| | <tt> LsLsLLsL LsL LsLsLLsL </tt>
| |
|-
| |
| | <tt> sLsLLsLL sLL sLsLLsLL </tt>
| |
|-
| | <tt> LsL LsLLsLLs LsLLsLLs </tt>
| | <tt> LsLLsLLs LLs LsLLsLLs </tt>
| |
|-
| | <tt> sLL sLLsLLsL sLLsLLsL </tt>
| | <tt> sLLsLLsL LsL sLLsLLsL </tt>
| |
|-
| | <tt> LLs LLsLLsLs LLsLLsLs </tt>
| |
| |
|-
| | <tt> LsL LsLLsLsL LsLLsLsL </tt>
| |
| | <tt> LsLLsLLs LsLLsLLs LsL </tt>
|-
| | <tt> sLL sLLsLsLL sLLsLsLL </tt>
| |
| | <tt> sLLsLLsL sLLsLLsL sLL </tt>
|-
| | <tt> LLs LLsLsLLs LLsLsLLs </tt>
| |
| | <tt> LLsLLsLs LLsLLsLs LLs </tt>
|}
 
[[File:19_12_07_sLLsLsLL_sLL_sLLsLsLL.png|alt=19_12_07_sLLsLsLL_sLL_sLLsLsLL.png|19_12_07_sLLsLsLL_sLL_sLLsLsLL.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>
[[Category:19-tone scales]]
<h4>Original HTML content:</h4>
[[Category:Tempered scales]]
<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 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
&lt;a class="wiki_link" href="/12L%207s"&gt;12L+7s&lt;/a&gt;&lt;br /&gt;
[[Category:MODMOS]]
19 tones (8+3+8)&lt;br /&gt;
[[Category:Omnitetrachordal]]
&lt;br /&gt;
[[Category:Meantone]]
&lt;a class="wiki_link" href="/Meantone"&gt;Meantone&lt;/a&gt; MOS; &lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt;&amp;lt;0 (oddly, neither this scale nor its &lt;!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#dual|dual]] --&gt;&lt;a class="wiki_link" href="/OTC%2012L%207s#dual"&gt;dual&lt;/a&gt;&lt;!-- ws:end:WikiTextVariableComponentRule:01 --&gt; can be tuned with a perfect 3/2!)&lt;br /&gt;
&lt;br /&gt;
P = -4.8459060415&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 20.7295302077 (4/3 = 5L+2.5s)&lt;br /&gt;
&lt;br /&gt;
L = 63.16 to 100.00 cents (97.26 cents @ Q)&lt;br /&gt;
s = 0.00 to 63.16 cents (4.69 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L+s (189.47 to 200.00 cents)&lt;br /&gt;
4/3 = 5L+3s (500.00 to 505.26 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 31, 43, 50, 55&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; LsLLsLsLLsLLsLsLLsL &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; LsL LsLsLLsL LsLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLsL LsLLsLsL LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL sLsLLsLL sLsLLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLsLL sLLsLsLL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LsLLsLLs LsLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLsLLs LLsLsLLs LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LsL sLLsLLsL sLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLsLLsL LsLsLLsL 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; sLsLLsLL sLsLLsLL 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; LsLLsLLs LsL LsLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLs LsLLsLLs 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;tt&gt; sLLsLLsL sLL sLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLsL sLLsLLsL 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;tt&gt; LLsLLsLs LLs LLsLLsLs &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; LsLLsLsL LsL LsLLsLsL &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; sLLsLsLL sLL sLLsLsLL &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; LLsLsLLs LLs LLsLsLLs &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; LsLsLLsL LsL LsLsLLsL &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; sLsLLsLL sLL sLsLLsLL &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; LsL LsLLsLLs LsLLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLs LLs LsLLsLLs &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; sLL sLLsLLsL sLLsLLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLsL LsL sLLsLLsL &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 LLsLLsLs LLsLLsLs &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 LsLLsLsL LsLLsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLLsLLs LsLLsLLs LsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLL sLLsLsLL sLLsLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLsLLsL sLLsLLsL sLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LLs LLsLsLLs LLsLsLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLLsLs LLsLLsLs LLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:170:&amp;lt;img src=&amp;quot;/file/view/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png/589273888/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png/589273888/19_12_07_sLLsLsLL_sLL_sLLsLsLL.png" alt="19_12_07_sLLsLsLL_sLL_sLLsLsLL.png" title="19_12_07_sLLsLsLL_sLL_sLLsLsLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:170 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&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:2 --&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:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&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>

Latest revision as of 03:08, 24 June 2025

Omnitetrachordal MOS scale

12L+7s

19 tones (8+3+8)

Meantone MOS; P<0 (oddly, neither this scale nor its dual can be tuned with a perfect 3/2!)

P = -4.8459060415

Q = 20.7295302077 (4/3 = 5L+2.5s)

L = 63.16 to 100.00 cents (97.26 cents @ Q)

s = 0.00 to 63.16 cents (4.69 cents @ Q)

9/8 = 2L+s (189.47 to 200.00 cents)

4/3 = 5L+3s (500.00 to 505.26 cents)

generator = 4/3

notable EDOs: 31, 43, 50, 55

symmetric mode: LsLLsLsLLsLLsLsLLsL

all modes:

LsL LsLsLLsL LsLsLLsL LsLLsLsL LsLLsLsL LsL
sLL sLsLLsLL sLsLLsLL sLLsLsLL sLLsLsLL sLL
LLs LsLLsLLs LsLLsLLs LLsLsLLs LLsLsLLs LLs
LsL sLLsLLsL sLLsLLsL LsLsLLsL LsLsLLsL LsL
sLsLLsLL sLsLLsLL sLL
LsLLsLLs LsL LsLLsLLs LsLLsLLs LsLLsLLs LLs
sLLsLLsL sLL sLLsLLsL sLLsLLsL sLLsLLsL LsL
LLsLLsLs LLs LLsLLsLs
LsLLsLsL LsL LsLLsLsL
sLLsLsLL sLL sLLsLsLL
LLsLsLLs LLs LLsLsLLs
LsLsLLsL LsL LsLsLLsL
sLsLLsLL sLL sLsLLsLL
LsL LsLLsLLs LsLLsLLs LsLLsLLs LLs LsLLsLLs
sLL sLLsLLsL sLLsLLsL sLLsLLsL LsL sLLsLLsL
LLs LLsLLsLs LLsLLsLs
LsL LsLLsLsL LsLLsLsL LsLLsLLs LsLLsLLs LsL
sLL sLLsLsLL sLLsLsLL sLLsLLsL sLLsLLsL sLL
LLs LLsLsLLs LLsLsLLs LLsLLsLs LLsLLsLs LLs

19_12_07_sLLsLsLL_sLL_sLLsLsLL.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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