OTC 7L 7s
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Original Wikitext content:
Omnitetrachordal MOS scale
[[7L 7s|7L+7s]]
14 tones (6+2+6)
temperament: [[whitewood]]
This scale has some unusual properties:
* it has only two modes
* either mode may be split in any of the three possible omnitetrachordal ways (9/8-4/3-4/3, 4/3-9/8-4/3, 4/3-4/3-9/8)
* it is its own dual (changing all L to s, and vice versa, gives the same scale)
* the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio
See also [[OTC 5L 5s|OTC 5L+5s]] (blackwood) and [[OTC 12L 12s|OTC 12L+12s]] (catler/compton).
[[Gallery of omnitetrachordal scales#perfect|P]] = undefined (-1?)
[[Gallery of omnitetrachordal scales#Q|Q]] = 4.2777408456 (4/3 = 3L+2.5s)
L = 85.71 to 171.43 cents (138.95 cents @ Q)
s = 0.00 to 85.71 cents (32.48 cents @ Q)
9/8 = L+s (171.43 cents for any L/s)
4/3 = 3L+3s (514.29 cents for any L/s)
generator = s (0.00 to 85.71 cents)
[[periods and generators|period]] = 1/7 octave (171.43 cents)
notable EDOs: 21, 28, 35 (for 35edo, use L/s=3/2)
all modes:
|| {{ Ls LsLsLs LsLsLs }} || {{ LsLsLs Ls LsLsLs }} || {{ LsLsLs LsLsLs Ls }} ||
|| {{ sL sLsLsL sLsLsL }} || {{ sLsLsL sL sLsLsL }} || {{ sLsLsL sLsLsL sL }} ||
[[image:14_07_07_LsLsLs_Ls_LsLsLs.png]]
===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]
Original HTML content:
<html><head><title>OTC 7L 7s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/7L%207s">7L+7s</a><br />
14 tones (6+2+6)<br />
<br />
temperament: <a class="wiki_link" href="/whitewood">whitewood</a><br />
<br />
This scale has some unusual properties:<br />
<ul><li>it has only two modes</li><li>either mode may be split in any of the three possible omnitetrachordal ways (9/8-4/3-4/3, 4/3-9/8-4/3, 4/3-4/3-9/8)</li><li>it is its own dual (changing all L to s, and vice versa, gives the same scale)</li><li>the (imperfect) tunings of 9/8 and 4/3 are independent of L/s ratio</li></ul><br />
See also <a class="wiki_link" href="/OTC%205L%205s">OTC 5L+5s</a> (blackwood) and <a class="wiki_link" href="/OTC%2012L%2012s">OTC 12L+12s</a> (catler/compton).<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = undefined (-1?)<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 4.2777408456 (4/3 = 3L+2.5s)<br />
<br />
L = 85.71 to 171.43 cents (138.95 cents @ Q)<br />
s = 0.00 to 85.71 cents (32.48 cents @ Q)<br />
<br />
9/8 = L+s (171.43 cents for any L/s)<br />
4/3 = 3L+3s (514.29 cents for any L/s)<br />
generator = s (0.00 to 85.71 cents)<br />
<a class="wiki_link" href="/periods%20and%20generators">period</a> = 1/7 octave (171.43 cents)<br />
<br />
notable EDOs: 21, 28, 35 (for 35edo, use L/s=3/2)<br />
<br />
all modes:<br />
<table class="wiki_table">
<tr>
<td><tt> Ls LsLsLs LsLsLs </tt><br />
</td>
<td><tt> LsLsLs Ls LsLsLs </tt><br />
</td>
<td><tt> LsLsLs LsLsLs Ls </tt><br />
</td>
</tr>
<tr>
<td><tt> sL sLsLsL sLsLsL </tt><br />
</td>
<td><tt> sLsLsL sL sLsLsL </tt><br />
</td>
<td><tt> sLsLsL sLsLsL sL </tt><br />
</td>
</tr>
</table>
<br />
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<br />
<!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:0 -->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>