OTC 12L 3s - Revision history

FloraC: Cleanup

2025-09-11T05:39:38Z

Cleanup

← Older revision		Revision as of 05:39, 11 September 2025
Line 1:		Line 1:
	Omnitetrachordal MODMOS scale		Omnitetrachordal MODMOS scale

	[[~~12L_3s~~\|12L+3s]]		[[12L 3s\|12L+3s]]

	15 tones (6+3+6)		15 tones (6+3+6)

	temperament: [[augmented\|augmented]]		temperament: [[augmented (temperament)\|augmented]]

	[[~~Gallery_of_omnitetrachordal_scales~~#perfect\|P]] = 12.5377181246		[[Gallery of omnitetrachordal scales #perfect\|P]] = 12.5377181246

	[[~~Gallery_of_omnitetrachordal_scales~~#Q\|Q]] = 38.1131543739 (4/3 = 5L+0.5s)		[[Gallery of omnitetrachordal scales #Q\|Q]] = 38.1131543739 (4/3 = 5L+0.5s)

	L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)		L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
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	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\| \| <tt> LLs LLLLLs LLLLLs </tt>		\| <tt> LLs LLLLLs LLLLLs </tt>
	\| \|		\|
	\| \| <tt> LLsLLL LLsLLL LLs </tt>		\| <tt> LLsLLL LLsLLL LLs </tt>
	\|-		\|-
	\| \| <tt> LsL LLLLsL LLLLsL </tt>		\| <tt> LsL LLLLsL LLLLsL </tt>
	\| \|		\|
	\| \| <tt> LsLLLL LsLLLL LsL </tt>		\| <tt> LsLLLL LsLLLL LsL </tt>
	\|-		\|-
	\| \| <tt> sLL LLLsLL LLLsLL </tt>		\| <tt> sLL LLLsLL LLLsLL </tt>
	\| \|		\|
	\| \| <tt> sLLLLL sLLLLL sLL </tt>		\| <tt> sLLLLL sLLLLL sLL </tt>
	\|-		\|-
	\| \|		\|
	\| \|		\|
	\| \| <tt> LLLLLs LLLLLs LLs </tt>		\| <tt> LLLLLs LLLLLs LLs </tt>
	\|-		\|-
	\| \|		\|
	\| \|		\|
	\| \| <tt> LLLLsL LLLLsL LsL </tt>		\| <tt> LLLLsL LLLLsL LsL </tt>
	\|-		\|-
	\| \|		\|
	\| \|		\|
	\| \| <tt> LLLsLL LLLsLL sLL </tt>		\| <tt> LLLsLL LLLsLL sLL </tt>
	\|-		\|-
	\| \|		\|
	\| \| <tt> LLsLLL LLs LLsLLL </tt>		\| <tt> LLsLLL LLs LLsLLL </tt>
	\| \|		\|
	\|-		\|-
	\| \|		\|
	\| \| <tt> LsLLLL LsL LsLLLL </tt>		\| <tt> LsLLLL LsL LsLLLL </tt>
	\| \|		\|
	\|-		\|-
	\| \|		\|
	\| \| <tt> sLLLLL sLL sLLLLL </tt>		\| <tt> sLLLLL sLL sLLLLL </tt>
	\| \|		\|
	\|-		\|-
	\| \|		\|
	\| \| <tt> LLLLLs LLs LLLLLs </tt>		\| <tt> LLLLLs LLs LLLLLs </tt>
	\| \|		\|
	\|-		\|-
	\| \|		\|
	\| \| <tt> LLLLsL LsL LLLLsL </tt>		\| <tt> LLLLsL LsL LLLLsL </tt>
	\| \|		\|
	\|-		\|-
	\| \|		\|
	\| \| <tt> LLLsLL sLL LLLsLL </tt>		\| <tt> LLLsLL sLL LLLsLL </tt>
	\| \|		\|
	\|-		\|-
	\| \| <tt> LLs LLsLLL LLsLLL </tt>		\| <tt> LLs LLsLLL LLsLLL </tt>
	\| \|		\|
	\| \|		\|
	\|-		\|-
	\| \| <tt> LsL LsLLLL LsLLLL </tt>		\| <tt> LsL LsLLLL LsLLLL </tt>
	\| \|		\|
	\| \|		\|
	\|-		\|-
	\| \| <tt> sLL sLLLLL sLLLLL </tt>		\| <tt> sLL sLLLLL sLLLLL </tt>
	\| \|		\|
	\| \|		\|
	\|}		\|}

	[[File:15_12_03_LLLLLs_LLs_LLLLLs.png\|alt=15_12_03_LLLLLs_LLs_LLLLLs.png\|15_12_03_LLLLLs_LLs_LLLLLs.png]]		[[File:15_12_03_LLLLLs_LLs_LLLLLs.png\|alt=15_12_03_LLLLLs_LLs_LLLLLs.png\|15_12_03_LLLLLs_LLs_LLLLLs.png]]

	===See also===		=== See also ===
	~~<ul><li>~~[[~~Omnitetrachordality\|~~Omnitetrachordality]]~~</li><li>~~[[~~Gallery_of_omnitetrachordal_scales\|~~Gallery of omnitetrachordal scales]]~~</li></ul>~~		* [[Omnitetrachordality]]
			* [[Gallery of omnitetrachordal scales]]

	[[Category:15-tone scales]]		[[Category:15-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]

Lériendil: Text replacement - "Category:Tempered_scales↵Category:Pages with mostly numerical content" to "Category:Tempered scales Category:Pages with mostly numerical content"

2025-06-24T03:08:27Z

Text replacement - "Category:Tempered_scales↵Category:Pages with mostly numerical content" to "Category:Tempered scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 03:08, 24 June 2025
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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>
	[[Category:15-tone scales]]		[[Category:15-tone scales]]
	[[Category:~~Tempered_scales~~]]		[[Category:Tempered scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]
	[[Category:Omnitetrachordal]]		[[Category:Omnitetrachordal]]
	[[Category:Augmented]]		[[Category:Augmented]]

Lériendil: Text replacement - "Category:Tempered scales↵Category:Pages with mostly numerical content" to "Category:Tempered_scales Category:Pages with mostly numerical content"

2025-06-24T02:41:45Z

Text replacement - "Category:Tempered scales↵Category:Pages with mostly numerical content" to "Category:Tempered_scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 02:41, 24 June 2025
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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>
	[[Category:15-tone scales]]		[[Category:15-tone scales]]
	[[Category:~~Tempered scales~~]]		[[Category:Tempered_scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]
	[[Category:Omnitetrachordal]]		[[Category:Omnitetrachordal]]
	[[Category:Augmented]]		[[Category:Augmented]]

Lériendil: Text replacement - "Category:Tempered scales" to "Category:Tempered scales Category:Pages with mostly numerical content"

2025-06-24T02:33:39Z

Text replacement - "Category:Tempered scales" to "Category:Tempered scales Category:Pages with mostly numerical content"

← Older revision		Revision as of 02:33, 24 June 2025
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	[[Category:15-tone scales]]		[[Category:15-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
			[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]
	[[Category:Omnitetrachordal]]		[[Category:Omnitetrachordal]]
	[[Category:Augmented]]		[[Category:Augmented]]

BudjarnLambeth: Categorised this uncategorised page

2023-05-02T04:27:29Z

Categorised this uncategorised page

← Older revision		Revision as of 04:27, 2 May 2023
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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:15-tone scales]]
			[[Category:Tempered scales]]
			[[Category:MODMOS]]
			[[Category:Omnitetrachordal]]
			[[Category:Augmented]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>spt3125: Imported revision 590700274 - Original comment:

2016-08-31T20:40:32Z

**Imported revision 590700274 - Original comment: **

← Older revision		Revision as of 20:40, 31 August 2016
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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 20:35:02 UTC</tt>.<br>		: This revision was by author [[User:spt3125\|spt3125]] and made on <tt>2016-08-31 20:40:32 UTC</tt>.<br>
	: The original revision id was <tt>~~590699978~~</tt>.<br>		: The original revision id was <tt>590700274</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	notable EDOs: 27, 39, 51		notable EDOs: 27, 39, 51

	{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gc 5,5,5 ~~// pc~~ 3,3,3,3,3 // 3/2c 5,5,5		{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5
	{{ \|\| \|\| }}		{{ \|\| \|\| }}
	{{ LLLLLsLLsLLLLLs }} (OTC MODMOS) - gc 6,6,3 ~~// pc~~ 3,3,3,2,2 // 3/2c 5,5,5		{{ LLLLLsLLsLLLLLs }} (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5

	symmetric mode: {{ LsLLLLLsLLLLLsL }}		symmetric mode: {{ LsLLLLLsLLLLLsL }}
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	notable EDOs: 27, 39, 51<br />		notable EDOs: 27, 39, 51<br />
	<br />		<br />
	<tt> LLLLsLLLLsLLLLs </tt> (MOS, not OTC) - gc 5,5,5 ~~&lt~~;~~em> pc~~ 3,3,3,3,3 ~~</em&gt~~; 3/2c 5,5,5<br />		<tt> LLLLsLLLLsLLLLs </tt> (MOS, not OTC) - gen chains 5,5,5; per chains 3,3,3,3,3; 3/2 chains 5,5,5<br />
	<tt> \|\| \|\| </tt><br />		<tt> \|\| \|\| </tt><br />
	<tt> LLLLLsLLsLLLLLs </tt> (OTC MODMOS) - gc 6,6,3 ~~&lt~~;~~em> pc~~ 3,3,3,2,2 ~~</em&gt~~; 3/2c 5,5,5<br />		<tt> LLLLLsLLsLLLLLs </tt> (OTC MODMOS) - gen chains 6,6,3; per chains 3,3,3,2,2; 3/2 chains 5,5,5<br />
	<br />		<br />
	symmetric mode: <tt> LsLLLLLsLLLLLsL </tt><br />		symmetric mode: <tt> LsLLLLLsLLLLLsL </tt><br />

Wikispaces>spt3125: Imported revision 590699978 - Original comment:

2016-08-31T20:35:02Z

**Imported revision 590699978 - 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 20:35:02 UTC</tt>. 
: The original revision id was <tt>590699978</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
[[12L 3s|12L+3s]]
15 tones (6+3+6)

temperament: [[augmented]]

[[Gallery of omnitetrachordal scales#perfect|P]] = 12.5377181246
[[Gallery of omnitetrachordal scales#Q|Q]] = 38.1131543739 (4/3 = 5L+0.5s)

L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q)
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q)

9/8 = 2L+s (200.00 to 240.00 cents)
4/3 = 5L+s (480.00 to 500.00 cents)
MOS generator = L (80.0 to 100.0 cents)
MOS period = 1/3 octave (400.00 cents)

notable EDOs: 27, 39, 51

{{ LLLLsLLLLsLLLLs }} (MOS, not OTC) - gc 5,5,5 // pc 3,3,3,3,3 // 3/2c 5,5,5
{{ || || }}
{{ LLLLLsLLsLLLLLs }} (OTC MODMOS) - gc 6,6,3 // pc 3,3,3,2,2 // 3/2c 5,5,5

symmetric mode: {{ LsLLLLLsLLLLLsL }}

all modes:
|| {{ LLs LLLLLs LLLLLs }} || || {{ LLsLLL LLsLLL LLs }} ||
|| {{ LsL LLLLsL LLLLsL }} || || {{ LsLLLL LsLLLL LsL }} ||
|| {{ sLL LLLsLL LLLsLL }} || || {{ sLLLLL sLLLLL sLL }} ||
|| || || {{ LLLLLs LLLLLs LLs }} ||
|| || || {{ LLLLsL LLLLsL LsL }} ||
|| || || {{ LLLsLL LLLsLL sLL }} ||
|| || {{ LLsLLL LLs LLsLLL }} || ||
|| || {{ LsLLLL LsL LsLLLL }} || ||
|| || {{ sLLLLL sLL sLLLLL }} || ||
|| || {{ LLLLLs LLs LLLLLs }} || ||
|| || {{ LLLLsL LsL LLLLsL }} || ||
|| || {{ LLLsLL sLL LLLsLL }} || ||
|| {{ LLs LLsLLL LLsLLL }} || || ||
|| {{ LsL LsLLLL LsLLLL }} || || ||
|| {{ sLL sLLLLL sLLLLL }} || || ||

[[image:15_12_03_LLLLLs_LLs_LLLLLs.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 12L 3s</title></head><body>Omnitetrachordal MODMOS scale 
<a class="wiki_link" href="/12L%203s">12L+3s</a> 
15 tones (6+3+6) 
 
temperament: <a class="wiki_link" href="/augmented">augmented</a> 
 
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 12.5377181246 
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 38.1131543739 (4/3 = 5L+0.5s) 
 
L = 80.00 to 100.00 cents (98.04 cents @ P, 99.35 cents @ Q) 
s = 0.00 to 80.00 cents (7.82 cents @ P, 2.61 cents @ Q) 
 
9/8 = 2L+s (200.00 to 240.00 cents) 
4/3 = 5L+s (480.00 to 500.00 cents) 
MOS generator = L (80.0 to 100.0 cents) 
MOS period = 1/3 octave (400.00 cents) 
 
notable EDOs: 27, 39, 51 
 
<tt> LLLLsLLLLsLLLLs </tt> (MOS, not OTC) - gc 5,5,5 pc 3,3,3,3,3 3/2c 5,5,5 
<tt> || || </tt> 
<tt> LLLLLsLLsLLLLLs </tt> (OTC MODMOS) - gc 6,6,3 pc 3,3,3,2,2 3/2c 5,5,5 
 
symmetric mode: <tt> LsLLLLLsLLLLLsL </tt> 
 
all modes: 

<table class="wiki_table">
<tr>
<td><tt> LLs LLLLLs LLLLLs </tt> 
</td>
<td> 
</td>
<td><tt> LLsLLL LLsLLL LLs </tt> 
</td>
</tr>
<tr>
<td><tt> LsL LLLLsL LLLLsL </tt> 
</td>
<td> 
</td>
<td><tt> LsLLLL LsLLLL LsL </tt> 
</td>
</tr>
<tr>
<td><tt> sLL LLLsLL LLLsLL </tt> 
</td>
<td> 
</td>
<td><tt> sLLLLL sLLLLL sLL </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LLLLLs LLLLLs LLs </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LLLLsL LLLLsL LsL </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LLLsLL LLLsLL sLL </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LLsLLL LLs LLsLLL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LsLLLL LsL LsLLLL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLLLLL sLL sLLLLL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LLLLLs LLs LLLLLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LLLLsL LsL LLLLsL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LLLsLL sLL LLLsLL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> LLs LLsLLL LLsLLL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> LsL LsLLLL LsLLLL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sLL sLLLLL sLLLLL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
</table>

 
 
<img src="/file/view/15_12_03_LLLLLs_LLs_LLLLLs.png/589273860/15_12_03_LLLLLs_LLs_LLLLLs.png" alt="15_12_03_LLLLLs_LLs_LLLLLs.png" title="15_12_03_LLLLLs_LLs_LLLLLs.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>