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	<ul><li>[[Omnitetrachordality\|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales\|Gallery of omnitetrachordal scales]]</li></ul>		<ul><li>[[Omnitetrachordality\|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales\|Gallery of omnitetrachordal scales]]</li></ul>
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	<ul><li>[[Omnitetrachordality\|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales\|Gallery of omnitetrachordal scales]]</li></ul>		<ul><li>[[Omnitetrachordality\|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales\|Gallery of omnitetrachordal scales]]</li></ul>
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	===See also===		===See also===
	<ul><li>[[Omnitetrachordality\|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales\|Gallery of omnitetrachordal scales]]</li></ul>		<ul><li>[[Omnitetrachordality\|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales\|Gallery of omnitetrachordal scales]]</li></ul>
			[[Category:18-tone scales]]
			[[Category:Tempered scales]]
			[[Category:MODMOS]]
			[[Category:Omnitetrachordal]]
			[[Category:Sixix]]

Wikispaces>FREEZE at 00:00, 17 July 2018

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Wikispaces>spt3125: Imported revision 590700964 - Original comment:

2016-08-31T20:55:58Z

**Imported revision 590700964 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference: 
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-08-31 20:55:58 UTC</tt>. 
: The original revision id was <tt>590700964</tt>. 
: The revision comment was: <tt></tt> 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it. 
<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
[[7L 11s|7L+11s]]
18 tones (7+4+7)

sixix?; 2 forms; best for L/s>2

[[Gallery of omnitetrachordal scales#perfect|P]] = 5.968201208
[[Gallery of omnitetrachordal scales#Q|Q]]1 ``=`` 11.2459420535 (4/3 = 3L+3.5s)
Q2 ``=`` 0.6904603624 (4/3 = 3L+4.5s)
(Since Q2<1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)

L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)

9/8 = L+3s (171.43 to 266.67 cents)
4/3 = 3L+4s (466.67 to 514.29 cents)
MOS generator = 2L+3s (333.33 to 342.86 cents)

notable EDOs: 25, 32, 39, 46, 53

{{ LsLssLsLssLsLssLss }} (MOS, not OTC)
{{ || | | || }}
{{ LLsssLsLLsssLsssLs }} (OTC MODMOS, form 1) - gc 4,4,3,2; 5o

{{ LsLssLsLssLsLssLss }} (MOS, not OTC)
{{ | | || || }}
{{ LsssLLsLsssLLsLsss }} (OTC MODMOS, form 2) - gc 4,4,3,2; 5o

{{ LLsssLsLLsssLsssLs }} (form 1)
{{ | | | | | | }}
{{ LsssLLsLsssLLsLsss }} (form 2)

all modes, form 1:
|| || || {{ LLsssLs LLsssLs ssLs }} ||
|| || {{ LsssLsL Lsss LsssLsL }} || ||
|| || {{ sssLsLL sssL sssLsLL }} || ||
|| || {{ ssLsLLs ssLs ssLsLLs }} || ||
|| || {{ sLsLLss sLss sLsLLss }} || ||
|| || {{ LsLLsss Lsss LsLLsss }} || ||
|| || {{ sLLsssL sssL sLLsssL }} || ||
|| || {{ LLsssLs ssLs LLsssLs }} || ||
|| {{ Lsss LsssLsL LsssLsL }} || || ||
|| {{ sssL sssLsLL sssLsLL }} || || ||
|| {{ ssLs ssLsLLs ssLsLLs }} || || ||
|| {{ sLss sLsLLss sLsLLss }} || || ||
|| {{ Lsss LsLLsss LsLLsss }} || || {{ LsssLsL LsssLsL Lsss }} ||
|| {{ sssL sLLsssL sLLsssL }} || || {{ sssLsLL sssLsLL sssL }} ||
|| {{ ssLs LLsssLs LLsssLs }} || || {{ ssLsLLs ssLsLLs ssLs }} ||
|| || || {{ sLsLLss sLsLLss sLss }} ||
|| || || {{ LsLLsss LsLLsss Lsss }} ||
|| || || {{ sLLsssL sLLsssL sssL }} ||

all modes, form 2:
|| {{ Lsss LLsLsss LLsLsss }} || || {{ LsssLLs LsssLLs Lsss }} ||
|| {{ sssL LsLsssL LsLsssL }} || || {{ sssLLsL sssLLsL sssL }} ||
|| || || {{ ssLLsLs ssLLsLs ssLs }} ||
|| || || {{ sLLsLss sLLsLss sLss }} ||
|| || || {{ LLsLsss LLsLsss Lsss }} ||
|| || || {{ LsLsssL LsLsssL sssL }} ||
|| || {{ sLsssLL sLss sLsssLL }} || ||
|| || {{ LsssLLs Lsss LsssLLs }} || ||
|| || {{ sssLLsL sssL sssLLsL }} || ||
|| || {{ ssLLsLs ssLs ssLLsLs }} || ||
|| || {{ sLLsLss sLss sLLsLss }} || ||
|| || {{ LLsLsss Lsss LLsLsss }} || ||
|| || {{ LsLsssL sssL LsLsssL }} || ||
|| {{ sLss sLsssLL sLsssLL }} || || ||
|| {{ Lsss LsssLLs LsssLLs }} || || ||
|| {{ sssL sssLLsL sssLLsL }} || || ||
|| {{ ssLs ssLLsLs ssLLsLs }} || || ||
|| {{ sLss sLLsLss sLLsLss }} || || {{ sLsssLL sLsssLL sLss }} ||

[[image:18_07_11_sssLsLL_sssL_sssLsLL.png]]

===See also===
* [[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"><html><head><title>OTC 7L 11s</title></head><body>Omnitetrachordal MODMOS scale 
<a class="wiki_link" href="/7L%2011s">7L+11s</a> 
18 tones (7+4+7) 
 
sixix?; 2 forms; best for L/s&gt;2 
 
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 5.968201208 
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a>1 = 11.2459420535 (4/3 = 3L+3.5s) 
Q2 = 0.6904603624 (4/3 = 3L+4.5s) 
(Since Q2&lt;1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.) 
 
L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1) 
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1) 
 
9/8 = L+3s (171.43 to 266.67 cents) 
4/3 = 3L+4s (466.67 to 514.29 cents) 
MOS generator = 2L+3s (333.33 to 342.86 cents) 
 
notable EDOs: 25, 32, 39, 46, 53 
 
<tt> LsLssLsLssLsLssLss </tt> (MOS, not OTC) 
<tt> || | | || </tt> 
<tt> LLsssLsLLsssLsssLs </tt> (OTC MODMOS, form 1) - gc 4,4,3,2; 5o 
 
<tt> LsLssLsLssLsLssLss </tt> (MOS, not OTC) 
<tt> | | || || </tt> 
<tt> LsssLLsLsssLLsLsss </tt> (OTC MODMOS, form 2) - gc 4,4,3,2; 5o 
 
<tt> LLsssLsLLsssLsssLs </tt> (form 1) 
<tt> | | | | | | </tt> 
<tt> LsssLLsLsssLLsLsss </tt> (form 2) 
 
 
all modes, form 1: 

<table class="wiki_table">
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LLsssLs LLsssLs ssLs </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LsssLsL Lsss LsssLsL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sssLsLL sssL sssLsLL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> ssLsLLs ssLs ssLsLLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLsLLss sLss sLsLLss </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LsLLsss Lsss LsLLsss </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLLsssL sssL sLLsssL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LLsssLs ssLs LLsssLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> Lsss LsssLsL LsssLsL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sssL sssLsLL sssLsLL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> ssLs ssLsLLs ssLsLLs </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sLss sLsLLss sLsLLss </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> Lsss LsLLsss LsLLsss </tt> 
</td>
<td> 
</td>
<td><tt> LsssLsL LsssLsL Lsss </tt> 
</td>
</tr>
<tr>
<td><tt> sssL sLLsssL sLLsssL </tt> 
</td>
<td> 
</td>
<td><tt> sssLsLL sssLsLL sssL </tt> 
</td>
</tr>
<tr>
<td><tt> ssLs LLsssLs LLsssLs </tt> 
</td>
<td> 
</td>
<td><tt> ssLsLLs ssLsLLs ssLs </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> sLsLLss sLsLLss sLss </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LsLLsss LsLLsss Lsss </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> sLLsssL sLLsssL sssL </tt> 
</td>
</tr>
</table>

 
 
all modes, form 2: 

<table class="wiki_table">
<tr>
<td><tt> Lsss LLsLsss LLsLsss </tt> 
</td>
<td> 
</td>
<td><tt> LsssLLs LsssLLs Lsss </tt> 
</td>
</tr>
<tr>
<td><tt> sssL LsLsssL LsLsssL </tt> 
</td>
<td> 
</td>
<td><tt> sssLLsL sssLLsL sssL </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> ssLLsLs ssLLsLs ssLs </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> sLLsLss sLLsLss sLss </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LLsLsss LLsLsss Lsss </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LsLsssL LsLsssL sssL </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLsssLL sLss sLsssLL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LsssLLs Lsss LsssLLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sssLLsL sssL sssLLsL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> ssLLsLs ssLs ssLLsLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLLsLss sLss sLLsLss </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LLsLsss Lsss LLsLsss </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LsLsssL sssL LsLsssL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sLss sLsssLL sLsssLL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> Lsss LsssLLs LsssLLs </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sssL sssLLsL sssLLsL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> ssLs ssLLsLs ssLLsLs </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sLss sLLsLss sLLsLss </tt> 
</td>
<td> 
</td>
<td><tt> sLsssLL sLsssLL sLss </tt> 
</td>
</tr>
</table>

 
<img src="/file/view/18_07_11_sssLsLL_sssL_sssLsLL.png/589273878/18_07_11_sssLsLL_sssL_sssLsLL.png" alt="18_07_11_sssLsLL_sssL_sssLsLL.png" title="18_07_11_sssLsLL_sssL_sssLsLL.png" /> 
 
<h3 id="toc0"><a name="x--See also"></a>See also</h3>
<ul><li><a class="wiki_link" href="/Omnitetrachordality">Omnitetrachordality</a></li><li><a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales">Gallery of omnitetrachordal scales</a></li></ul></body></html></pre></div>