OTC 7L 11s

From Xenharmonic Wiki
Revision as of 20:55, 31 August 2016 by Wikispaces>spt3125 (**Imported revision 590700964 - Original comment: **)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author spt3125 and made on 2016-08-31 20:55:58 UTC.
The original revision id was 590700964.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Omnitetrachordal MODMOS scale
[[7L 11s|7L+11s]]
18 tones (7+4+7)

sixix?; 2 forms; best for L/s>2

[[Gallery of omnitetrachordal scales#perfect|P]] = 5.968201208
[[Gallery of omnitetrachordal scales#Q|Q]]<span style="vertical-align: sub;">1</span> ``=`` 11.2459420535 (4/3 = 3L+3.5s)
Q<span style="vertical-align: sub;">2</span> ``=`` 0.6904603624 (4/3 = 3L+4.5s)
(Since Q<span style="vertical-align: sub;">2</span><1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)

L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)

9/8 = L+3s (171.43 to 266.67 cents)
4/3 = 3L+4s (466.67 to 514.29 cents)
MOS generator = 2L+3s (333.33 to 342.86 cents)

notable EDOs: 25, 32, 39, 46, 53

{{ LsLssLsLssLsLssLss }} (MOS, not OTC)
{{  ||     | |    ||  }}
{{ LLsssLsLLsssLsssLs }} (OTC MODMOS, form 1) - gc 4,4,3,2; 5o

{{ LsLssLsLssLsLssLss }} (MOS, not OTC)
{{   | |     ||  ||   }}
{{ LsssLLsLsssLLsLsss }} (OTC MODMOS, form 2) - gc 4,4,3,2; 5o

{{ LLsssLsLLsssLsssLs }} (form 1)
{{  |  |   |  |  | |  }}
{{ LsssLLsLsssLLsLsss }} (form 2)


all modes, form 1:
|| || || {{ LLsssLs LLsssLs ssLs }} ||
|| || {{ LsssLsL Lsss LsssLsL }} || ||
|| || {{ sssLsLL sssL sssLsLL }} || ||
|| || {{ ssLsLLs ssLs ssLsLLs }} || ||
|| || {{ sLsLLss sLss sLsLLss }} || ||
|| || {{ LsLLsss Lsss LsLLsss }} || ||
|| || {{ sLLsssL sssL sLLsssL }} || ||
|| || {{ LLsssLs ssLs LLsssLs }} || ||
|| {{ Lsss LsssLsL LsssLsL }} || || ||
|| {{ sssL sssLsLL sssLsLL }} || || ||
|| {{ ssLs ssLsLLs ssLsLLs }} || || ||
|| {{ sLss sLsLLss sLsLLss }} || || ||
|| {{ Lsss LsLLsss LsLLsss }} || || {{ LsssLsL LsssLsL Lsss }} ||
|| {{ sssL sLLsssL sLLsssL }} || || {{ sssLsLL sssLsLL sssL }} ||
|| {{ ssLs LLsssLs LLsssLs }} || || {{ ssLsLLs ssLsLLs ssLs }} ||
|| || || {{ sLsLLss sLsLLss sLss }} ||
|| || || {{ LsLLsss LsLLsss Lsss }} ||
|| || || {{ sLLsssL sLLsssL sssL }} ||


all modes, form 2:
|| {{ Lsss LLsLsss LLsLsss }} || || {{ LsssLLs LsssLLs Lsss }} ||
|| {{ sssL LsLsssL LsLsssL }} || || {{ sssLLsL sssLLsL sssL }} ||
|| || || {{ ssLLsLs ssLLsLs ssLs }} ||
|| || || {{ sLLsLss sLLsLss sLss }} ||
|| || || {{ LLsLsss LLsLsss Lsss }} ||
|| || || {{ LsLsssL LsLsssL sssL }} ||
|| || {{ sLsssLL sLss sLsssLL }} || ||
|| || {{ LsssLLs Lsss LsssLLs }} || ||
|| || {{ sssLLsL sssL sssLLsL }} || ||
|| || {{ ssLLsLs ssLs ssLLsLs }} || ||
|| || {{ sLLsLss sLss sLLsLss }} || ||
|| || {{ LLsLsss Lsss LLsLsss }} || ||
|| || {{ LsLsssL sssL LsLsssL }} || ||
|| {{ sLss sLsssLL sLsssLL }} || || ||
|| {{ Lsss LsssLLs LsssLLs }} || || ||
|| {{ sssL sssLLsL sssLLsL }} || || ||
|| {{ ssLs ssLLsLs ssLLsLs }} || || ||
|| {{ sLss sLLsLss sLLsLss }} || || {{ sLsssLL sLsssLL sLss }} ||

[[image:18_07_11_sssLsLL_sssL_sssLsLL.png]]

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

Original HTML content:

<html><head><title>OTC 7L 11s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/7L%2011s">7L+11s</a><br />
18 tones (7+4+7)<br />
<br />
sixix?; 2 forms; best for L/s&gt;2<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 5.968201208<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a><span style="vertical-align: sub;">1</span> <!-- ws:start:WikiTextRawRule:00:``=`` -->=<!-- ws:end:WikiTextRawRule:00 --> 11.2459420535 (4/3 = 3L+3.5s)<br />
Q<span style="vertical-align: sub;">2</span> <!-- ws:start:WikiTextRawRule:01:``=`` -->=<!-- ws:end:WikiTextRawRule:01 --> 0.6904603624 (4/3 = 3L+4.5s)<br />
(Since Q<span style="vertical-align: sub;">2</span>&lt;1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)<br />
<br />
L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)<br />
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)<br />
<br />
9/8 = L+3s (171.43 to 266.67 cents)<br />
4/3 = 3L+4s (466.67 to 514.29 cents)<br />
MOS generator = 2L+3s (333.33 to 342.86 cents)<br />
<br />
notable EDOs: 25, 32, 39, 46, 53<br />
<br />
<tt> LsLssLsLssLsLssLss </tt> (MOS, not OTC)<br />
<tt>  ||     | |    ||  </tt><br />
<tt> LLsssLsLLsssLsssLs </tt> (OTC MODMOS, form 1) - gc 4,4,3,2; 5o<br />
<br />
<tt> LsLssLsLssLsLssLss </tt> (MOS, not OTC)<br />
<tt>   | |     ||  ||   </tt><br />
<tt> LsssLLsLsssLLsLsss </tt> (OTC MODMOS, form 2) - gc 4,4,3,2; 5o<br />
<br />
<tt> LLsssLsLLsssLsssLs </tt> (form 1)<br />
<tt>  |  |   |  |  | |  </tt><br />
<tt> LsssLLsLsssLLsLsss </tt> (form 2)<br />
<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsssLs LLsssLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLsL Lsss LsssLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLsLL sssL sssLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsLLs ssLs ssLsLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLLss sLss sLsLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLsss Lsss LsLLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsssL sssL sLLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsssLs ssLs LLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLsL LsssLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLsLL sssLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLsLLs ssLsLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsLLss sLsLLss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsLLsss LsLLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLsL LsssLsL Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sLLsssL sLLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLsLL sssLsLL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs LLsssLs LLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsLLs ssLsLLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLLss sLsLLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLsss LsLLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsssL sLLsssL sssL </tt><br />
</td>
    </tr>
</table>

<br />
<br />
all modes, form 2:<br />


<table class="wiki_table">
    <tr>
        <td><tt> Lsss LLsLsss LLsLsss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLLs LsssLLs Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL LsLsssL LsLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sssLLsL sssLLsL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLsLs ssLLsLs ssLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLsLss sLLsLss sLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLsss LLsLsss Lsss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsssL LsLsssL sssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLL sLss sLsssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLLs Lsss LsssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLLsL sssL sssLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLsLs ssLs ssLLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLsLss sLss sLLsLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLsss Lsss LLsLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsssL sssL LsLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLsssLL sLsssLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> Lsss LsssLLs LsssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sssL sssLLsL sssLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLs ssLLsLs ssLLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLss sLLsLss sLLsLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLL sLsssLL sLss </tt><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextLocalImageRule:302:&lt;img src=&quot;/file/view/18_07_11_sssLsLL_sssL_sssLsLL.png/589273878/18_07_11_sssLsLL_sssL_sssLsLL.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/18_07_11_sssLsLL_sssL_sssLsLL.png/589273878/18_07_11_sssLsLL_sssL_sssLsLL.png" alt="18_07_11_sssLsLL_sssL_sssLsLL.png" title="18_07_11_sssLsLL_sssL_sssLsLL.png" /><!-- ws:end:WikiTextLocalImageRule:302 --><br />
<br />
<!-- 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></body></html>
Retrieved from "https://en.xen.wiki/index.php?title=OTC_7L_11s&oldid=23375"