OTC 7L 12s - Revision history

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

2025-06-24T03:09:01Z

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 03:09, 24 June 2025
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	<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>		<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>
	[[Category:19-tone scales]]		[[Category:19-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:Flattone]]		[[Category:Flattone]]

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

2025-06-24T02:43:56Z

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 02:43, 24 June 2025
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	<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>		<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>
	[[Category:19-tone scales]]		[[Category:19-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:Flattone]]		[[Category:Flattone]]

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

2025-06-24T02:37:33Z

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

← Older revision		Revision as of 02:37, 24 June 2025
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	[[Category:19-tone scales]]		[[Category:19-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
			[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]
	[[Category:Omnitetrachordal]]		[[Category:Omnitetrachordal]]
	[[Category:Flattone]]		[[Category:Flattone]]

BudjarnLambeth: Categorised this uncategorised page

2023-05-02T04:32:06Z

Categorised this uncategorised page

← Older revision		Revision as of 04:32, 2 May 2023
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	===References===		===References===
	<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>		<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>
			[[Category:19-tone scales]]
			[[Category:Tempered scales]]
			[[Category:MODMOS]]
			[[Category:Omnitetrachordal]]
			[[Category:Flattone]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>spt3125: Imported revision 590701416 - Original comment:

2016-08-31T21:06:20Z

**Imported revision 590701416 - Original comment: **

← Older revision		Revision as of 21:06, 31 August 2016
Line 1:		Line 1:
	<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 21:00:37 UTC</tt>.<br>		: This revision was by author [[User:spt3125\|spt3125]] and made on <tt>2016-08-31 21:06:20 UTC</tt>.<br>
	: The original revision id was <tt>~~590701194~~</tt>.<br>		: The original revision id was <tt>590701416</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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	19 tones (8+3+8)		19 tones (8+3+8)

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

	P = -0.2063597584		P = -0.2063597584
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	19 tones (8+3+8)<br />		19 tones (8+3+8)<br />
	<br />		<br />
	<a class="wiki_link" href="/Meantone%20family#Flattone">Flattone</a> MOS~~; <!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#perfect\|P]] --&gt~~;<a class="wiki_link" href="/~~OTC~~%~~207L~~%~~2012s~~#perfect">P</a~~><!-- ws:end:WikiTextVariableComponentRule:01 --~~>&lt;0 (oddly, neither this scale nor its <!-- ws:start:WikiTextVariableComponentRule:03:[[{$page}#dual\|dual]] --><a class="wiki_link" href="/OTC%207L%2012s#dual">dual</a><!-- ws:end:WikiTextVariableComponentRule:03 --> can be tuned with a perfect 3/2!)<br />		<a class="wiki_link" href="/Meantone%20family#Flattone">Flattone</a> MOS; <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a>&lt;0 (oddly, neither this scale nor its <!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#dual\|dual]] --><a class="wiki_link" href="/OTC%207L%2012s#dual">dual</a><!-- ws:end:WikiTextVariableComponentRule:01 --> can be tuned with a perfect 3/2!)<br />
	<br />		<br />
	P = -0.2063597584<br />		P = -0.2063597584<br />
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	<br />		<br />
	<!-- ws:start:WikiTextLocalImageRule:~~172~~:&lt;img src=&quot;/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png" alt="19_07_12_LssLsLss_Lss_LssLsLss.png" title="19_07_12_LssLsLss_Lss_LssLsLss.png" /><!-- ws:end:WikiTextLocalImageRule:~~172~~ --><br />		<!-- ws:start:WikiTextLocalImageRule:170:&lt;img src=&quot;/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png" alt="19_07_12_LssLsLss_Lss_LssLsLss.png" title="19_07_12_LssLsLss_Lss_LssLsLss.png" /><!-- ws:end:WikiTextLocalImageRule:170 --><br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:4 -->See also</h3>		<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->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><br />		<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><br />
	<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc1"><a name="x--References"></a><!-- ws:end:WikiTextHeadingRule:6 -->References</h3>		<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc1"><a name="x--References"></a><!-- ws:end:WikiTextHeadingRule:4 -->References</h3>
	<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow">3685</a> and <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow">10987</a>.</li></ul></body></html></pre></div>		<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow">3685</a> and <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow">10987</a>.</li></ul></body></html></pre></div>

Wikispaces>spt3125: Imported revision 590701194 - Original comment:

2016-08-31T21:00:37Z

**Imported revision 590701194 - 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 21:00:37 UTC</tt>. 
: The original revision id was <tt>590701194</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 MOS scale
[[7L 12s|7L+12s]]
19 tones (8+3+8)

[[Meantone family#Flattone|Flattone]] MOS; [[{$page}#perfect|P]]<0 (oddly, neither this scale nor its [[{$page}#dual|dual]] can be tuned with a perfect 3/2!)

P = -0.2063597584
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.0713810872 (4/3 = 3L+4.5s)

L = 63.16 to 171.43 cents (128.12 cents @ Q)
s = 0.00 to 63.16 cents (25.26 cents @ Q)

9/8 = L+2s (171.43 to 189.47 cents)
4/3 = 3L+5s (505.26 to 514.29 cents)
generator = 4/3

notable EDOs: 26, 33, 40, 45

symmetric mode: {{ sLssLsLssLssLsLssLs }}

all modes:
|| {{ sLs sLsLssLs sLsLssLs }} || || {{ sLssLsLs sLssLsLs sLs }} ||
|| {{ Lss LsLssLss LsLssLss }} || || {{ LssLsLss LssLsLss Lss }} ||
|| {{ ssL sLssLssL sLssLssL }} || || {{ ssLsLssL ssLsLssL ssL }} ||
|| {{ sLs LssLssLs LssLssLs }} || || {{ sLsLssLs sLsLssLs sLs }} ||
|| || || {{ LsLssLss LsLssLss Lss }} ||
|| || {{ sLssLssL sLs sLssLssL }} || {{ sLssLssL sLssLssL ssL }} ||
|| || {{ LssLssLs Lss LssLssLs }} || {{ LssLssLs LssLssLs sLs }} ||
|| || {{ ssLssLsL ssL ssLssLsL }} || ||
|| || {{ sLssLsLs sLs sLssLsLs }} || ||
|| || {{ LssLsLss Lss LssLsLss }} || ||
|| || {{ ssLsLssL ssL ssLsLssL }} || ||
|| || {{ sLsLssLs sLs sLsLssLs }} || ||
|| || {{ LsLssLss Lss LsLssLss }} || ||
|| {{ sLs sLssLssL sLssLssL }} || {{ sLssLssL ssL sLssLssL }} || ||
|| {{ Lss LssLssLs LssLssLs }} || {{ LssLssLs sLs LssLssLs }} || ||
|| {{ ssL ssLssLsL ssLssLsL }} || || ||
|| {{ sLs sLssLsLs sLssLsLs }} || || {{ sLssLssL sLssLssL sLs }} ||
|| {{ Lss LssLsLss LssLsLss }} || || {{ LssLssLs LssLssLs Lss }} ||
|| {{ ssL ssLsLssL ssLsLssL }} || || {{ ssLssLsL ssLssLsL ssL }} ||

[[image:19_07_12_LssLsLss_Lss_LssLsLss.png]]

===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]

===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]].
</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 12s</title></head><body>Omnitetrachordal MOS scale 
<a class="wiki_link" href="/7L%2012s">7L+12s</a> 
19 tones (8+3+8) 
 
<a class="wiki_link" href="/Meantone%20family#Flattone">Flattone</a> MOS; <a class="wiki_link" href="/OTC%207L%2012s#perfect">P</a>&lt;0 (oddly, neither this scale nor its <a class="wiki_link" href="/OTC%207L%2012s#dual">dual</a> can be tuned with a perfect 3/2!) 
 
P = -0.2063597584 
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 5.0713810872 (4/3 = 3L+4.5s) 
 
L = 63.16 to 171.43 cents (128.12 cents @ Q) 
s = 0.00 to 63.16 cents (25.26 cents @ Q) 
 
9/8 = L+2s (171.43 to 189.47 cents) 
4/3 = 3L+5s (505.26 to 514.29 cents) 
generator = 4/3 
 
notable EDOs: 26, 33, 40, 45 
 
symmetric mode: <tt> sLssLsLssLssLsLssLs </tt> 
 
all modes: 

<table class="wiki_table">
<tr>
<td><tt> sLs sLsLssLs sLsLssLs </tt> 
</td>
<td> 
</td>
<td><tt> sLssLsLs sLssLsLs sLs </tt> 
</td>
</tr>
<tr>
<td><tt> Lss LsLssLss LsLssLss </tt> 
</td>
<td> 
</td>
<td><tt> LssLsLss LssLsLss Lss </tt> 
</td>
</tr>
<tr>
<td><tt> ssL sLssLssL sLssLssL </tt> 
</td>
<td> 
</td>
<td><tt> ssLsLssL ssLsLssL ssL </tt> 
</td>
</tr>
<tr>
<td><tt> sLs LssLssLs LssLssLs </tt> 
</td>
<td> 
</td>
<td><tt> sLsLssLs sLsLssLs sLs </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td> 
</td>
<td><tt> LsLssLss LsLssLss Lss </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLssLssL sLs sLssLssL </tt> 
</td>
<td><tt> sLssLssL sLssLssL ssL </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LssLssLs Lss LssLssLs </tt> 
</td>
<td><tt> LssLssLs LssLssLs sLs </tt> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> ssLssLsL ssL ssLssLsL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLssLsLs sLs sLssLsLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LssLsLss Lss LssLsLss </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> ssLsLssL ssL ssLsLssL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> sLsLssLs sLs sLsLssLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td> 
</td>
<td><tt> LsLssLss Lss LsLssLss </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sLs sLssLssL sLssLssL </tt> 
</td>
<td><tt> sLssLssL ssL sLssLssL </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> Lss LssLssLs LssLssLs </tt> 
</td>
<td><tt> LssLssLs sLs LssLssLs </tt> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> ssL ssLssLsL ssLssLsL </tt> 
</td>
<td> 
</td>
<td> 
</td>
</tr>
<tr>
<td><tt> sLs sLssLsLs sLssLsLs </tt> 
</td>
<td> 
</td>
<td><tt> sLssLssL sLssLssL sLs </tt> 
</td>
</tr>
<tr>
<td><tt> Lss LssLsLss LssLsLss </tt> 
</td>
<td> 
</td>
<td><tt> LssLssLs LssLssLs Lss </tt> 
</td>
</tr>
<tr>
<td><tt> ssL ssLsLssL ssLsLssL </tt> 
</td>
<td> 
</td>
<td><tt> ssLssLsL ssLssLsL ssL </tt> 
</td>
</tr>
</table>

 
<img src="/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png" alt="19_07_12_LssLsLss_Lss_LssLsLss.png" title="19_07_12_LssLsLss_Lss_LssLsLss.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> 
<h3 id="toc1"><a name="x--References"></a>References</h3>
<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow">3685</a> and <a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow">10987</a>.</li></ul></body></html></pre></div>