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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 20:44:45 UTC</tt>.<br>
[[2L_8s|2L+8s]]
: The original revision id was <tt>590307212</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
[[2L 8s|2L+8s]]
10 tones (4+2+4)
10 tones (4+2+4)


[[Pajara]] [[MODMOS]].  Best at lower ratios of L/s.
[[pajara|Pajara]] [[MODMOS|MODMOS]].  Best at lower ratios of L/s.
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.8849491924


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.8849491924
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 4.8274237885 (4/3 = L+2.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 4.8274237885 (4/3 = L+2.5s)


L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)


9/8 = 2s (0.00 to 240.00 cents)
9/8 = 2s (0.00 to 240.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
4/3 = L+3s (480.00 to 600.00 cents)
[[MOS]] generator = s (0.00 to 120.00 cents)
MOS [[periods and generators|period]] = 1/2 octave (600.00 cents)


notable EDOs: 12, 14, 16, 22, 26
[[MOS|MOS]] generator = s (0.00 to 120.00 cents)


{{ LssssLssss }} (MOS, not OTC)
MOS [[periods_and_generators|period]] = 1/2 octave (600.00 cents)
{{      ||    }}
{{ LsssssLsss }} (OTC MODMOS) - gen chains 6,4


modes:
notable EDOs: 12, 14, 16, 22, 26
|| || {{ sssL ss sssL }} || || Standard Pentachordal Minor ||
|| || {{ ssLs ss ssLs }} || || - ||
|| || {{ sLss ss sLss }} || || Alternate Pentachordal Major ||
|| || {{ Lsss ss Lsss }} || || - ||
|| {{ ss sssL sssL }} || || || - ||
|| {{ ss ssLs ssLs }} || || || Alternate Pentachordal Minor ||
|| {{ ss sLss sLss }} || || {{ sssL sssL ss }} || - ||
|| {{ ss Lsss Lsss }} || || {{ ssLs ssLs ss }} || Standard Pentachordal Major ||
|| || || {{ sLss sLss ss }} || - ||
|| || || {{ Lsss Lsss ss }} || - ||
(The names of the modes are Paul Erlich's - see [[http://lumma.org/tuning/erlich/erlich-decatonic.pdf]].)


[[image:10_02_08_sLss_ss_sLss.png]]
<tt> LssssLssss </tt> (MOS, not OTC)


===See also===
<tt>      ||    </tt>
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]


===References===
<tt> LsssssLsss </tt> (OTC MODMOS) - gen chains 6,4
* 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]].


modes:


</pre></div>
{| class="wikitable"
<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 2L 8s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
| |
&lt;a class="wiki_link" href="/2L%208s"&gt;2L+8s&lt;/a&gt;&lt;br /&gt;
| | <tt> sssL ss sssL </tt>
10 tones (4+2+4)&lt;br /&gt;
| |
&lt;br /&gt;
| | Standard Pentachordal Minor
&lt;a class="wiki_link" href="/Pajara"&gt;Pajara&lt;/a&gt; &lt;a class="wiki_link" href="/MODMOS"&gt;MODMOS&lt;/a&gt;.  Best at lower ratios of L/s.&lt;br /&gt;
|-
&lt;br /&gt;
| |
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 1.8849491924&lt;br /&gt;
| | <tt> ssLs ss ssLs </tt>
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 4.8274237885 (4/3 = L+2.5s)&lt;br /&gt;
| |
&lt;br /&gt;
| | -
L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)&lt;br /&gt;
|-
s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)&lt;br /&gt;
| |
&lt;br /&gt;
| | <tt> sLss ss sLss </tt>
9/8 = 2s (0.00 to 240.00 cents)&lt;br /&gt;
| |
4/3 = L+3s (480.00 to 600.00 cents)&lt;br /&gt;
| | Alternate Pentachordal Major
&lt;a class="wiki_link" href="/MOS"&gt;MOS&lt;/a&gt; generator = s (0.00 to 120.00 cents)&lt;br /&gt;
|-
MOS &lt;a class="wiki_link" href="/periods%20and%20generators"&gt;period&lt;/a&gt; = 1/2 octave (600.00 cents)&lt;br /&gt;
| |
&lt;br /&gt;
| | <tt> Lsss ss Lsss </tt>
notable EDOs: 12, 14, 16, 22, 26&lt;br /&gt;
| |
&lt;br /&gt;
| | -
&lt;tt&gt; LssssLssss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
|-
&lt;tt&gt;      ||    &lt;/tt&gt; &lt;br /&gt;
| | <tt> ss sssL sssL </tt>
&lt;tt&gt; LsssssLsss &lt;/tt&gt; (OTC MODMOS) - gen chains 6,4&lt;br /&gt;
| |
&lt;br /&gt;
| |
modes:&lt;br /&gt;
| | -
|-
| | <tt> ss ssLs ssLs </tt>
| |
| |
| | Alternate Pentachordal Minor
|-
| | <tt> ss sLss sLss </tt>
| |
| | <tt> sssL sssL ss </tt>
| | -
|-
| | <tt> ss Lsss Lsss </tt>
| |
| | <tt> ssLs ssLs ss </tt>
| | Standard Pentachordal Major
|-
| |
| |
| | <tt> sLss sLss ss </tt>
| | -
|-
| |
| |  
| | <tt> Lsss Lsss ss </tt>
| | -
|}
(The names of the modes are Paul Erlich's - see [http://lumma.org/tuning/erlich/erlich-decatonic.pdf http://lumma.org/tuning/erlich/erlich-decatonic.pdf].)


[[File:10_02_08_sLss_ss_sLss.png|alt=10_02_08_sLss_ss_sLss.png|10_02_08_sLss_ss_sLss.png]]


&lt;table class="wiki_table"&gt;
===See also===
    &lt;tr&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssL ss sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Standard Pentachordal Minor&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; ssLs ss ssLs &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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLss ss sLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Alternate Pentachordal Major&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; Lsss ss Lsss &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; ss sssL sssL &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;td&gt;-&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ss ssLs ssLs &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;td&gt;Alternate Pentachordal Minor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ss sLss sLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssL sssL ss &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; ss Lsss Lsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLs ssLs ss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Standard Pentachordal Major&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; sLss sLss ss &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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; Lsss Lsss ss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


(The names of the modes are Paul Erlich's - see &lt;a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/erlich-decatonic.pdf" rel="nofollow"&gt;http://lumma.org/tuning/erlich/erlich-decatonic.pdf&lt;/a&gt;.)&lt;br /&gt;
===References===
&lt;br /&gt;
<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>
&lt;!-- ws:start:WikiTextLocalImageRule:116:&amp;lt;img src=&amp;quot;/file/view/10_02_08_sLss_ss_sLss.png/589273788/10_02_08_sLss_ss_sLss.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/10_02_08_sLss_ss_sLss.png/589273788/10_02_08_sLss_ss_sLss.png" alt="10_02_08_sLss_ss_sLss.png" title="10_02_08_sLss_ss_sLss.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:116 --&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>

Revision as of 00:00, 17 July 2018

Omnitetrachordal MODMOS scale

2L+8s

10 tones (4+2+4)

Pajara MODMOS. Best at lower ratios of L/s.

P = 1.8849491924

Q = 4.8274237885 (4/3 = L+2.5s)

L = 120.00 to 600.00 cents (192.18 cents @ P, 328.12 cents @ Q)

s = 0.00 to 120.00 cents (101.96 cents @ P, 67.97 cents @ Q)

9/8 = 2s (0.00 to 240.00 cents)

4/3 = L+3s (480.00 to 600.00 cents)

MOS generator = s (0.00 to 120.00 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 12, 14, 16, 22, 26

LssssLssss (MOS, not OTC)

     ||   

LsssssLsss (OTC MODMOS) - gen chains 6,4

modes:

sssL ss sssL Standard Pentachordal Minor
ssLs ss ssLs -
sLss ss sLss Alternate Pentachordal Major
Lsss ss Lsss -
ss sssL sssL -
ss ssLs ssLs Alternate Pentachordal Minor
ss sLss sLss sssL sssL ss -
ss Lsss Lsss ssLs ssLs ss Standard Pentachordal Major
sLss sLss ss -
Lsss Lsss ss -

(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)

10_02_08_sLss_ss_sLss.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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