OTC 7L 5s - Revision history

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

2025-06-24T03:11:26Z

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 03:11, 24 June 2025
Line 84:		Line 84:
	<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:12-tone scales]]		[[Category:12-tone scales]]
	[[Category:~~Tempered_scales~~]]		[[Category:Tempered scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]

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

2025-06-24T02:40:34Z

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 02:40, 24 June 2025
Line 84:		Line 84:
	<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:12-tone scales]]		[[Category:12-tone scales]]
	[[Category:~~Tempered scales~~]]		[[Category:Tempered_scales]]
	[[Category:Pages with mostly numerical content]]		[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]

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

2025-06-24T02:35:22Z

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

← Older revision		Revision as of 02:35, 24 June 2025
Line 85:		Line 85:
	[[Category:12-tone scales]]		[[Category:12-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]]
	[[Category:Meantone]]		[[Category:Meantone]]

BudjarnLambeth: Categorised this uncategorised page

2023-05-02T04:30:24Z

Categorised this uncategorised page

← Older revision		Revision as of 04:30, 2 May 2023
Line 83:		Line 83:
	===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:12-tone scales]]
			[[Category:Tempered scales]]
			[[Category:MODMOS]]
			[[Category:Omnitetrachordal]]
			[[Category:Flattone]]
			[[Category:Meantone]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>spt3125: Imported revision 590308978 - Original comment:

2016-08-28T21:24:43Z

**Imported revision 590308978 - 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:<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2016-08-28 21:24:43 UTC</tt>.<br>
: The original revision id was <tt>590308978</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
[[7L 5s|7L+5s]]
12 tones (5+2+5)

MOS of the [[meantone]] and [[Meantone family#Flattone|flattone]] temperaments (slightly flat 3/2). [[Gallery of omnitetrachordal scales#perfect|Imperfect]], but very usable at any L/s ratio. Many modes may be pentachordally split in two ways.

[[Gallery of omnitetrachordal scales#perfect|P]] = 0.7936402416
[[Gallery of omnitetrachordal scales#Q|Q]] = 6.0713810872 (4/3 = 3L+1.5s)

L = 100.00 to 171.43 cents (153.38 cents @ Q)
s = 0.00 to 100.00 cents (25.26 cents @ Q)

9/8 = L+s (171.43 to 200.00 cents)
4/3 = 3L+2s (500.00 to 514.29 cents)
generator = 4/3

notable EDOs: 19, 26, 31, 33, 43, 45, 50, etc.

all modes:
|| || {{ sLLsL sL sLLsL }} || ||
|| || {{ LLsLs Ls LLsLs }} || ||
|| {{ Ls LsLsL LsLsL }} || {{ LsLsL sL LsLsL }} || ||
|| {{ sL sLsLL sLsLL }} || || ||
|| {{ Ls LsLLs LsLLs }} || || {{ LsLsL LsLsL Ls }} ||
|| {{ sL sLLsL sLLsL }} || || {{ sLsLL sLsLL sL }} ||
|| {{ Ls LLsLs LLsLs }} || || {{ LsLLs LsLLs Ls }} ||
|| {{ sL LsLsL LsLsL }} || || {{ sLLsL sLLsL sL }} ||
|| || || {{ LLsLs LLsLs Ls }} ||
|| || {{ LsLsL Ls LsLsL }} || {{ LsLsL LsLsL sL }} ||
|| || {{ sLsLL sL sLsLL }} || ||
|| || {{ LsLLs Ls LsLLs }} || ||

[[image:12_07_05_LsLLs_Ls_LsLLs.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 5s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/7L%205s">7L+5s</a><br />
12 tones (5+2+5)<br />
<br />
MOS of the <a class="wiki_link" href="/meantone">meantone</a> and <a class="wiki_link" href="/Meantone%20family#Flattone">flattone</a> temperaments (slightly flat 3/2). <a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">Imperfect</a>, but very usable at any L/s ratio. Many modes may be pentachordally split in two ways.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 0.7936402416<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 6.0713810872 (4/3 = 3L+1.5s)<br />
<br />
L = 100.00 to 171.43 cents (153.38 cents @ Q)<br />
s = 0.00 to 100.00 cents (25.26 cents @ Q)<br />
<br />
9/8 = L+s (171.43 to 200.00 cents)<br />
4/3 = 3L+2s (500.00 to 514.29 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 19, 26, 31, 33, 43, 45, 50, etc.<br />
<br />
all modes:<br />

<table class="wiki_table">
<tr>
<td><br />
</td>
<td><tt> sLLsL sL sLLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LLsLs Ls LLsLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Ls LsLsL LsLsL </tt><br />
</td>
<td><tt> LsLsL sL LsLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sL sLsLL sLsLL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> Ls LsLLs LsLLs </tt><br />
</td>
<td><br />
</td>
<td><tt> LsLsL LsLsL Ls </tt><br />
</td>
</tr>
<tr>
<td><tt> sL sLLsL sLLsL </tt><br />
</td>
<td><br />
</td>
<td><tt> sLsLL sLsLL sL </tt><br />
</td>
</tr>
<tr>
<td><tt> Ls LLsLs LLsLs </tt><br />
</td>
<td><br />
</td>
<td><tt> LsLLs LsLLs Ls </tt><br />
</td>
</tr>
<tr>
<td><tt> sL LsLsL LsLsL </tt><br />
</td>
<td><br />
</td>
<td><tt> sLLsL sLLsL sL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> LLsLs LLsLs Ls </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLsL Ls LsLsL </tt><br />
</td>
<td><tt> LsLsL LsLsL sL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLsLL sL sLsLL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLLs Ls LsLLs </tt><br />
</td>
<td><br />
</td>
</tr>
</table>

<br />
<img src="/file/view/12_07_05_LsLLs_Ls_LsLLs.png/589273828/12_07_05_LsLLs_Ls_LsLLs.png" alt="12_07_05_LsLLs_Ls_LsLLs.png" title="12_07_05_LsLLs_Ls_LsLLs.png" /><br />
<br />
<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><br />
<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>