OTC 8L 2s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal MODMOS scale
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 21:00:48 UTC</tt>.<br>
[[8L_2s|8L+2s]]
: The original revision id was <tt>590307986</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
[[8L 2s|8L+2s]]
10 tones (4+2+4)
10 tones (4+2+4)


The dual of [[OTC 2L 8s|OTC 2L+8s]], this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.
The dual of [[OTC_2L_8s|OTC 2L+8s]], this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.


temperaments: octokaidecal, supersharp, fifives, bisemidim?
temperaments: octokaidecal, supersharp, fifives, bisemidim?
Line 17: Line 12:


L = 120.00 to 150.00 cents
L = 120.00 to 150.00 cents
s = 0.00 to 120.00 cents
s = 0.00 to 120.00 cents


9/8 = 2L (240.00 to 300.00 cents)
9/8 = 2L (240.00 to 300.00 cents)
4/3 = 3L+s (450.00 to 480.00 cents)
4/3 = 3L+s (450.00 to 480.00 cents)
MOS generator = L (120.00 to 150.00 cents)
MOS generator = L (120.00 to 150.00 cents)
MOS period = 1/2 octave (600.00 cents)
MOS period = 1/2 octave (600.00 cents)


notable EDOs: 18, 26b
notable EDOs: 18, 26b


{{ LsLLLLsLLL }} (MOS, not OTC)
<tt> LsLLLLsLLL </tt> (MOS, not OTC)
{{  ||        }}
{{ LLsLLLsLLL }} (OTC MODMOS) - gen chains of 6, 4 notes


all modes:
<tt>  ||        </tt>
|| || {{ LLLs LL LLLs }} || ||
|| || {{ LLsL LL LLsL }} || ||
|| || {{ LsLL LL LsLL }} || ||
|| || {{ sLLL LL sLLL }} || ||
|| {{ LL LLLs LLLs }} || || ||
|| {{ LL LLsL LLsL }} || || ||
|| {{ LL LsLL LsLL }} || || {{ LLLs LLLs LL }} ||
|| {{ LL sLLL sLLL }} || || {{ LLsL LLsL LL }} ||
|| || || {{ LsLL LsLL LL }} ||
|| || || {{ sLLL sLLL LL }} ||


[[image:10_08_02_LsLL_LL_LsLL.png]]
<tt> LLsLLLsLLL </tt> (OTC MODMOS) - gen chains of 6, 4 notes


===See also===
all modes:
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]
</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;OTC 8L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/8L%202s"&gt;8L+2s&lt;/a&gt;&lt;br /&gt;
10 tones (4+2+4)&lt;br /&gt;
&lt;br /&gt;
The dual of &lt;a class="wiki_link" href="/OTC%202L%208s"&gt;OTC 2L+8s&lt;/a&gt;, this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.&lt;br /&gt;
&lt;br /&gt;
temperaments: octokaidecal, supersharp, fifives, bisemidim?&lt;br /&gt;
&lt;br /&gt;
P = 0.5305182782&lt;br /&gt;
&lt;br /&gt;
L = 120.00 to 150.00 cents&lt;br /&gt;
s = 0.00 to 120.00 cents&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L (240.00 to 300.00 cents)&lt;br /&gt;
4/3 = 3L+s (450.00 to 480.00 cents)&lt;br /&gt;
MOS generator = L (120.00 to 150.00 cents)&lt;br /&gt;
MOS period = 1/2 octave (600.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 18, 26b&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLLLLsLLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  ||        &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLsLLLsLLL &lt;/tt&gt; (OTC MODMOS) - gen chains of 6, 4 notes&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> LLLs LL LLLs </tt>
| |
|-
| |
| | <tt> LLsL LL LLsL </tt>
| |
|-
| |
| | <tt> LsLL LL LsLL </tt>
| |
|-
| |
| | <tt> sLLL LL sLLL </tt>
| |
|-
| | <tt> LL LLLs LLLs </tt>
| |
| |
|-
| | <tt> LL LLsL LLsL </tt>
| |
| |
|-
| | <tt> LL LsLL LsLL </tt>
| |
| | <tt> LLLs LLLs LL </tt>
|-
| | <tt> LL sLLL sLLL </tt>
| |
| | <tt> LLsL LLsL LL </tt>
|-
| |
| |
| | <tt> LsLL LsLL LL </tt>
|-
| |
| |
| | <tt> sLLL sLLL LL </tt>
|}


&lt;table class="wiki_table"&gt;
[[File:10_08_02_LsLL_LL_LsLL.png|alt=10_08_02_LsLL_LL_LsLL.png|10_08_02_LsLL_LL_LsLL.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LL LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsL LL LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLL LL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL LLLs LLLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL LLsL LLsL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL LsLL LsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLs LLLs LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL sLLL sLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsL LLsL LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLL LsLL LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLLL sLLL LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:90:&amp;lt;img src=&amp;quot;/file/view/10_08_02_LsLL_LL_LsLL.png/589273812/10_08_02_LsLL_LL_LsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/10_08_02_LsLL_LL_LsLL.png/589273812/10_08_02_LsLL_LL_LsLL.png" alt="10_08_02_LsLL_LL_LsLL.png" title="10_08_02_LsLL_LL_LsLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:90 --&gt;&lt;br /&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&lt;br /&gt;
[[Category:10-tone scales]]
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;See also&lt;/h3&gt;
[[Category:Tempered scales]]
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Omnitetrachordality"&gt;Omnitetrachordality&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales"&gt;Gallery of omnitetrachordal scales&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Pages with mostly numerical content]]
[[Category:Fifives]]
[[Category:MODMOS]]
[[Category:Octokaidecal]]
[[Category:Omnitetrachordal]]
[[Category:Supersharp]]

Latest revision as of 03:09, 24 June 2025

Omnitetrachordal MODMOS scale

8L+2s

10 tones (4+2+4)

The dual of OTC 2L+8s, this scale is imperfect and poorly tuned for 3/2 at any L/s ratio.

temperaments: octokaidecal, supersharp, fifives, bisemidim?

P = 0.5305182782

L = 120.00 to 150.00 cents

s = 0.00 to 120.00 cents

9/8 = 2L (240.00 to 300.00 cents)

4/3 = 3L+s (450.00 to 480.00 cents)

MOS generator = L (120.00 to 150.00 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 18, 26b

LsLLLLsLLL (MOS, not OTC)

 ||       

LLsLLLsLLL (OTC MODMOS) - gen chains of 6, 4 notes

all modes:

LLLs LL LLLs
LLsL LL LLsL
LsLL LL LsLL
sLLL LL sLLL
LL LLLs LLLs
LL LLsL LLsL
LL LsLL LsLL LLLs LLLs LL
LL sLLL sLLL LLsL LLsL LL
LsLL LsLL LL
sLLL sLLL LL

10_08_02_LsLL_LL_LsLL.png

See also