OTC 5L 7s - Revision history

FloraC: Text replacement - "Category:Schismatic" to "Category:Schismic"

2026-01-07T09:11:53Z

Text replacement - "Category:Schismatic" to "Category:Schismic"

← Older revision		Revision as of 09:11, 7 January 2026
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	[[Category:Helmholtz]]		[[Category:Helmholtz]]
	[[Category:Garibaldi]]		[[Category:Garibaldi]]
	[[Category:~~Schismatic~~]]		[[Category:Schismic]]
	[[Category:Superpyth]]		[[Category:Superpyth]]
	[[Category:Pythagorean]]		[[Category:Pythagorean]]

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

2025-06-24T03:13:12Z

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 03:13, 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: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"

2025-06-24T02:42:56Z

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 02:42, 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: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"

2025-06-24T02:37:58Z

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: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]]

BudjarnLambeth: Categorised this uncategorised page

2023-05-02T04:37:22Z

Categorised this uncategorised page

← Older revision		Revision as of 04:37, 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:12-tone scales]]
			[[Category:Tempered scales]]
			[[Category:MODMOS]]
			[[Category:Omnitetrachordal]]
			[[Category:Helmholtz]]
			[[Category:Garibaldi]]
			[[Category:Schismatic]]
			[[Category:Superpyth]]
			[[Category:Pythagorean]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>spt3125: Imported revision 590308854 - Original comment:

2016-08-28T21:22:18Z

**Imported revision 590308854 - 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 21:22:18 UTC</tt>.<br>
: The original revision id was <tt>590308854</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
[[5L 7s|5L+7s]]
12 tones (5+2+5)

MOS of the helmholtz / garibaldi / [[Schismatic family|schismatic]] and [[superpyth]] temperaments, as well as Pythagorean. Very good 3/2 at almost any L/s ratio. Many modes may be pentachordally split in two ways. See also [[OTC 7L 5s|OTC 7L+5s]].

[[Gallery of omnitetrachordal scales#perfect|P]] = 1.2600167527 (L=[[2187_2048|2187/2048]], s=[[256_243|256/243]])
[[Gallery of omnitetrachordal scales#Q|Q]] = 7.9100586343 (2L+3.5s)

L = 100.00 to 240.00 cents (113.68 cents @ P, 203.91 cents @ Q)
s = 0.00 to 100.00 cents (90.23 cents @ P, 25.78 cents @ Q)

9/8 = L+s (200.00 to 240.00 cents)
4/3 = 2L+3s (480.00 to 500.00 cents)
generator = 4/3

notable EDOs: 17, 22, 27, 29, 41, 53, etc.

all modes:
|| {{ Ls LsLss LsLss }} || || ||
|| {{ sL sLssL sLssL }} || || {{ sLsLs sLsLs sL }} ||
|| {{ Ls LssLs LssLs }} || || {{ LsLss LsLss Ls }} ||
|| {{ sL ssLsL ssLsL }} || || {{ sLssL sLssL sL }} ||
|| {{ Ls sLsLs sLsLs }} || || {{ LssLs LssLs Ls }} ||
|| || || {{ ssLsL ssLsL sL }} ||
|| || {{ sLsLs sL sLsLs }} || {{ sLsLs sLsLs Ls }} ||
|| || {{ LsLss Ls LsLss }} || ||
|| || {{ sLssL sL sLssL }} || ||
|| || {{ LssLs Ls LssLs }} || ||
|| || {{ ssLsL sL ssLsL }} || ||
|| {{ sL sLsLs sLsLs }} || {{ sLsLs Ls sLsLs }} || ||

[[image:12_05_07_sLssL_sL_sLssL.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 5L 7s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/5L%207s">5L+7s</a><br />
12 tones (5+2+5)<br />
<br />
MOS of the helmholtz / garibaldi / <a class="wiki_link" href="/Schismatic%20family">schismatic</a> and <a class="wiki_link" href="/superpyth">superpyth</a> temperaments, as well as Pythagorean. Very good 3/2 at almost any L/s ratio. Many modes may be pentachordally split in two ways. See also <a class="wiki_link" href="/OTC%207L%205s">OTC 7L+5s</a>.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.2600167527 (L=<a class="wiki_link" href="/2187_2048">2187/2048</a>, s=<a class="wiki_link" href="/256_243">256/243</a>)<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 7.9100586343 (2L+3.5s)<br />
<br />
L = 100.00 to 240.00 cents (113.68 cents @ P, 203.91 cents @ Q)<br />
s = 0.00 to 100.00 cents (90.23 cents @ P, 25.78 cents @ Q)<br />
<br />
9/8 = L+s (200.00 to 240.00 cents)<br />
4/3 = 2L+3s (480.00 to 500.00 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 17, 22, 27, 29, 41, 53, etc.<br />
<br />
all modes:<br />

<table class="wiki_table">
<tr>
<td><tt> Ls LsLss LsLss </tt><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sL sLssL sLssL </tt><br />
</td>
<td><br />
</td>
<td><tt> sLsLs sLsLs sL </tt><br />
</td>
</tr>
<tr>
<td><tt> Ls LssLs LssLs </tt><br />
</td>
<td><br />
</td>
<td><tt> LsLss LsLss Ls </tt><br />
</td>
</tr>
<tr>
<td><tt> sL ssLsL ssLsL </tt><br />
</td>
<td><br />
</td>
<td><tt> sLssL sLssL sL </tt><br />
</td>
</tr>
<tr>
<td><tt> Ls sLsLs sLsLs </tt><br />
</td>
<td><br />
</td>
<td><tt> LssLs LssLs Ls </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><tt> ssLsL ssLsL sL </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLsLs sL sLsLs </tt><br />
</td>
<td><tt> sLsLs sLsLs Ls </tt><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LsLss Ls LsLss </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> sLssL sL sLssL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> LssLs Ls LssLs </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><tt> ssLsL sL ssLsL </tt><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><tt> sL sLsLs sLsLs </tt><br />
</td>
<td><tt> sLsLs Ls sLsLs </tt><br />
</td>
<td><br />
</td>
</tr>
</table>

<br />
<img src="/file/view/12_05_07_sLssL_sL_sLssL.png/589273824/12_05_07_sLssL_sL_sLssL.png" alt="12_05_07_sLssL_sL_sLssL.png" title="12_05_07_sLssL_sL_sLssL.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>