OTC 2L 8s - Revision history

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

2025-06-24T03:10:45Z

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 03:10, 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:10-tone scales]]		[[Category:10-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:Pajara]]		[[Category:Pajara]]

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

2025-06-24T02:39:58Z

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 02:39, 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:10-tone scales]]		[[Category:10-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:Pajara]]		[[Category:Pajara]]

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

2025-06-24T02:35:20Z

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
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	[[Category:10-tone scales]]		[[Category:10-tone scales]]
	[[Category:Tempered scales]]		[[Category:Tempered scales]]
			[[Category:Pages with mostly numerical content]]
	[[Category:MODMOS]]		[[Category:MODMOS]]
	[[Category:Omnitetrachordal]]		[[Category:Omnitetrachordal]]
	[[Category:Pajara]]		[[Category:Pajara]]

BudjarnLambeth: Categorised this uncategorised page

2023-05-02T04:25:08Z

Categorised this uncategorised page

← Older revision		Revision as of 04:25, 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:10-tone scales]]
			[[Category:Tempered scales]]
			[[Category:MODMOS]]
			[[Category:Omnitetrachordal]]
			[[Category:Pajara]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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Wikispaces>spt3125: Imported revision 590307212 - Original comment:

2016-08-28T20:44:45Z

**Imported revision 590307212 - 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 20:44:45 UTC</tt>.<br>
: The original revision id was <tt>590307212</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 MODMOS scale
[[2L 8s|2L+8s]]
10 tones (4+2+4)

[[Pajara]] [[MODMOS]]. Best at lower ratios of L/s.

[[Gallery of omnitetrachordal scales#perfect|P]] = 1.8849491924
[[Gallery of omnitetrachordal scales#Q|Q]] = 4.8274237885 (4/3 = L+2.5s)

L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)

9/8 = 2s (0.00 to 240.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
[[MOS]] generator = s (0.00 to 120.00 cents)
MOS [[periods and generators|period]] = 1/2 octave (600.00 cents)

notable EDOs: 12, 14, 16, 22, 26

{{ LssssLssss }} (MOS, not OTC)
{{ || }}
{{ LsssssLsss }} (OTC MODMOS) - gen chains 6,4

modes:
|| || {{ sssL ss sssL }} || || Standard Pentachordal Minor ||
|| || {{ ssLs ss ssLs }} || || - ||
|| || {{ sLss ss sLss }} || || Alternate Pentachordal Major ||
|| || {{ Lsss ss Lsss }} || || - ||
|| {{ ss sssL sssL }} || || || - ||
|| {{ ss ssLs ssLs }} || || || Alternate Pentachordal Minor ||
|| {{ ss sLss sLss }} || || {{ sssL sssL ss }} || - ||
|| {{ ss Lsss Lsss }} || || {{ ssLs ssLs ss }} || Standard Pentachordal Major ||
|| || || {{ sLss sLss ss }} || - ||
|| || || {{ Lsss Lsss ss }} || - ||
(The names of the modes are Paul Erlich's - see [[http://lumma.org/tuning/erlich/erlich-decatonic.pdf]].)

[[image:10_02_08_sLss_ss_sLss.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 2L 8s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/2L%208s">2L+8s</a><br />
10 tones (4+2+4)<br />
<br />
<a class="wiki_link" href="/Pajara">Pajara</a> <a class="wiki_link" href="/MODMOS">MODMOS</a>. Best at lower ratios of L/s.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.8849491924<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 4.8274237885 (4/3 = L+2.5s)<br />
<br />
L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)<br />
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)<br />
<br />
9/8 = 2s (0.00 to 240.00 cents)<br />
4/3 = L+3s (480.00 to 600.00 cents)<br />
<a class="wiki_link" href="/MOS">MOS</a> generator = s (0.00 to 120.00 cents)<br />
MOS <a class="wiki_link" href="/periods%20and%20generators">period</a> = 1/2 octave (600.00 cents)<br />
<br />
notable EDOs: 12, 14, 16, 22, 26<br />
<br />
<tt> LssssLssss </tt> (MOS, not OTC)<br />
<tt> || </tt> <br />
<tt> LsssssLsss </tt> (OTC MODMOS) - gen chains 6,4<br />
<br />
modes:<br />

<table class="wiki_table">
<tr>
<td><br />
</td>
<td><tt> sssL ss sssL </tt><br />
</td>
<td><br />
</td>
<td>Standard Pentachordal Minor<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLs ss ssLs </tt><br />
</td>
<td><br />
</td>
<td>-<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLss ss sLss </tt><br />
</td>
<td><br />
</td>
<td>Alternate Pentachordal Major<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> Lsss ss Lsss </tt><br />
</td>
<td><br />
</td>
<td>-<br />
</td>
</tr>
<tr>
<td><tt> ss sssL sssL </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>-<br />
</td>
</tr>
<tr>
<td><tt> ss ssLs ssLs </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>Alternate Pentachordal Minor<br />
</td>
</tr>
<tr>
<td><tt> ss sLss sLss </tt><br />
</td>
<td><br />
</td>
<td><tt> sssL sssL ss </tt><br />
</td>
<td>-<br />
</td>
</tr>
<tr>
<td><tt> ss Lsss Lsss </tt><br />
</td>
<td><br />
</td>
<td><tt> ssLs ssLs ss </tt><br />
</td>
<td>Standard Pentachordal Major<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> sLss sLss ss </tt><br />
</td>
<td>-<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> Lsss Lsss ss </tt><br />
</td>
<td>-<br />
</td>
</tr>
</table>

(The names of the modes are Paul Erlich's - see <a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/erlich-decatonic.pdf" rel="nofollow">http://lumma.org/tuning/erlich/erlich-decatonic.pdf</a>.)<br />
<br />
<img src="/file/view/10_02_08_sLss_ss_sLss.png/589273788/10_02_08_sLss_ss_sLss.png" alt="10_02_08_sLss_ss_sLss.png" title="10_02_08_sLss_ss_sLss.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>