OTC 3L 2s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal MOS 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 20:33:33 UTC</tt>.<br>
[[3L_2s|3L+2s]]
: The original revision id was <tt>590306576</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
[[3L 2s|3L+2s]]
5 tones (2+1+2)
5 tones (2+1+2)


temperament: [[Father family|father]]
temperament: [[Father_family|father]]


P = 0.6932531101 ([[Gallery of omnitetrachordal scales#perfect|imperfect]])
P = 0.6932531101 ([[Gallery_of_omnitetrachordal_scales#perfect|imperfect]])


L = 240.00 to 400.00 cents
L = 240.00 to 400.00 cents
s = 0.00 to 240.00 cents
s = 0.00 to 240.00 cents


9/8 = L (240.00 to 400.00 cents)
9/8 = L (240.00 to 400.00 cents)
4/3 = L+s (400.00 to 480.00 cents)
4/3 = L+s (400.00 to 480.00 cents)
generator = 4/3
generator = 4/3


notable EDOs: 8, 11b, 13, 18, 23b
notable EDOs: 8, 11b, 13, 18, 23b


symmetric mode: {{ LsLsL }}
symmetric mode: <tt> LsLsL </tt>


all modes:
all modes:
|| || {{ Ls L Ls }} || ||
|| || {{ sL L sL }} || ||
|| {{ L Ls Ls }} || || ||
|| {{ L sL sL }} || || {{ Ls Ls L }} ||
|| || || {{ sL sL L }} ||


[[image:05_03_02_Ls_L_Ls.png]]
{| class="wikitable"
|-
| |
| | <tt> Ls L Ls </tt>
| |
|-
| |
| | <tt> sL L sL </tt>
| |
|-
| | <tt> L Ls Ls </tt>
| |
| |
|-
| | <tt> L sL sL </tt>
| |
| | <tt> Ls Ls L </tt>
|-
| |
| |
| | <tt> sL sL L </tt>
|}
 
[[File:05_03_02_Ls_L_Ls.png|alt=05_03_02_Ls_L_Ls.png|05_03_02_Ls_L_Ls.png]]


===See also===
===See also===
* [[Omnitetrachordality]]
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
* [[Gallery of omnitetrachordal scales]]


===References===
===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>
<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>
<h4>Original HTML content:</h4>
[[Category:5-tone scales]]
<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 3L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
[[Category:Tempered scales]]
&lt;a class="wiki_link" href="/3L%202s"&gt;3L+2s&lt;/a&gt;&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
5 tones (2+1+2)&lt;br /&gt;
[[Category:Father]]
&lt;br /&gt;
[[Category:MODMOS]]
temperament: &lt;a class="wiki_link" href="/Father%20family"&gt;father&lt;/a&gt;&lt;br /&gt;
[[Category:Omnitetrachordal]]
&lt;br /&gt;
P = 0.6932531101 (&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;imperfect&lt;/a&gt;)&lt;br /&gt;
&lt;br /&gt;
L = 240.00 to 400.00 cents&lt;br /&gt;
s = 0.00 to 240.00 cents&lt;br /&gt;
&lt;br /&gt;
9/8 = L (240.00 to 400.00 cents)&lt;br /&gt;
4/3 = L+s (400.00 to 480.00 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 8, 11b, 13, 18, 23b&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; LsLsL &lt;/tt&gt;&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; Ls L Ls &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; sL L sL &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; L Ls Ls &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; L sL sL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; Ls Ls L &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; sL sL L &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:56:&amp;lt;img src=&amp;quot;/file/view/05_03_02_Ls_L_Ls.png/589273772/05_03_02_Ls_L_Ls.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/05_03_02_Ls_L_Ls.png/589273772/05_03_02_Ls_L_Ls.png" alt="05_03_02_Ls_L_Ls.png" title="05_03_02_Ls_L_Ls.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:56 --&gt;&lt;br /&gt;
&lt;br /&gt;
&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;
&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;References&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow"&gt;3685&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow"&gt;10987&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 03:09, 24 June 2025

Omnitetrachordal MOS scale

3L+2s

5 tones (2+1+2)

temperament: father

P = 0.6932531101 (imperfect)

L = 240.00 to 400.00 cents

s = 0.00 to 240.00 cents

9/8 = L (240.00 to 400.00 cents)

4/3 = L+s (400.00 to 480.00 cents)

generator = 4/3

notable EDOs: 8, 11b, 13, 18, 23b

symmetric mode: LsLsL

all modes:

Ls L Ls
sL L sL
L Ls Ls
L sL sL Ls Ls L
sL sL L

05_03_02_Ls_L_Ls.png

See also

References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.
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