OTC 5L 16s: 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>2016-09-01 20:40:00 UTC</tt>.<br>
: The original revision id was <tt>590811132</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
[[5L 16s|5L+16s]]
[[5L 16s|5L+16s]]
21 tones (9+3+9)
21 tones (9+3+9)


[[Laconic Family|laconic / gorgo]]
[[laconic]] / [[gorgo]]


[[Gallery of omnitetrachordal scales#perfect|P]] = 4.780050258
[[Gallery of omnitetrachordal scales #perfect|P]] = 4.780050258
[[Gallery of omnitetrachordal scales#Q|Q]] = 11.4300921397 (4/3 = 2L+7.5s)
 
[[Gallery of omnitetrachordal scales #Q|Q]] = 11.4300921397 (4/3 = 2L+7.5s)


L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)
L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)
s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)
s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)


9/8 = L+2s (171.43 to 240.00 cents)
9/8 = L+2s (171.43 to 240.00 cents)
4/3 = 2L+7s (480.00 to 514.29 cents)
4/3 = 2L+7s (480.00 to 514.29 cents)
MOS generator = L+3s (228.57 to 240.00 cents)
MOS generator = L+3s (228.57 to 240.00 cents)


notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77
notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77


{{ ssLsssLsssLssssLsssLs }} (MOS, not OTC)
<tt> ssLsssLsssLssssLsssLs </tt> (MOS, not OTC)
{{  ||   ||       ||     }}
{{ sLsssssLssLsssssLssLs }} (OTC MODMOS) - gc 13,2,2; 4o


symmetric mode: {{ sLsssssLssLssLsssssLs }}
<tt>  ||   ||       ||     </tt>
 
<tt> sLsssssLssLsssssLssLs </tt> (OTC MODMOS) - gc 13,2,2; 4o
 
symmetric mode: <tt> sLsssssLssLssLsssssLs </tt>


all modes:
all modes:
|| || {{ sLsssssLs sLs sLsssssLs }} || ||
|| || {{ LsssssLss Lss LsssssLss }} || ||
|| || {{ sssssLssL ssL sssssLssL }} || ||
|| || {{ ssssLssLs sLs ssssLssLs }} || ||
|| || {{ sssLssLss Lss sssLssLss }} || ||
|| {{ ssL ssLssLsss ssLssLsss }} || || ||
|| {{ sLs sLssLssss sLssLssss }} || || ||
|| {{ Lss LssLsssss LssLsssss }} || || ||
|| {{ ssL ssLsssssL ssLsssssL }} || || {{ ssLssLsss ssLssLsss ssL }} ||
|| {{ sLs sLsssssLs sLsssssLs }} || || {{ sLssLssss sLssLssss sLs }} ||
|| {{ Lss LsssssLss LsssssLss }} || || {{ LssLsssss LssLsssss Lss }} ||
|| {{ ssL sssssLssL sssssLssL }} || || {{ ssLsssssL ssLsssssL ssL }} ||
|| {{ sLs ssssLssLs ssssLssLs }} || || {{ sLsssssLs sLsssssLs sLs }} ||
|| {{ Lss sssLssLss sssLssLss }} || || {{ LsssssLss LsssssLss Lss }} ||
|| || || {{ sssssLssL sssssLssL ssL }} ||
|| || || {{ ssssLssLs ssssLssLs sLs }} ||
|| || || {{ sssLssLss sssLssLss Lss }} ||
|| || {{ ssLssLsss ssL ssLssLsss }} || ||
|| || {{ sLssLssss sLs sLssLssss }} || ||
|| || {{ LssLsssss Lss LssLsssss }} || ||
|| || {{ ssLsssssL ssL ssLsssssL }} || ||


===See also===
{| class="wikitable"
* [[Omnitetrachordality]]
|-
* [[Gallery of omnitetrachordal scales]]</pre></div>
| |
<h4>Original HTML content:</h4>
| | <tt> sLsssssLs sLs sLsssssLs </tt>
<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 5L 16s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
| |
&lt;a class="wiki_link" href="/5L%2016s"&gt;5L+16s&lt;/a&gt;&lt;br /&gt;
|-
21 tones (9+3+9)&lt;br /&gt;
| |
&lt;br /&gt;
| | <tt> LsssssLss Lss LsssssLss </tt>
&lt;a class="wiki_link" href="/Laconic%20Family"&gt;laconic / gorgo&lt;/a&gt;&lt;br /&gt;
| |
&lt;br /&gt;
|-
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 4.780050258&lt;br /&gt;
| |
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 11.4300921397 (4/3 = 2L+7.5s)&lt;br /&gt;
| | <tt> sssssLssL ssL sssssLssL </tt>
&lt;br /&gt;
| |
L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)&lt;br /&gt;
|-
s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)&lt;br /&gt;
| |
&lt;br /&gt;
| | <tt> ssssLssLs sLs ssssLssLs </tt>
9/8 = L+2s (171.43 to 240.00 cents)&lt;br /&gt;
| |
4/3 = 2L+7s (480.00 to 514.29 cents)&lt;br /&gt;
|-
MOS generator = L+3s (228.57 to 240.00 cents)&lt;br /&gt;
| |
&lt;br /&gt;
| | <tt> sssLssLss Lss sssLssLss </tt>
notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77&lt;br /&gt;
| |
&lt;br /&gt;
|-
&lt;tt&gt; ssLsssLsssLssssLsssLs &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
| | <tt> ssL ssLssLsss ssLssLsss </tt>
&lt;tt&gt;  ||   ||       ||     &lt;/tt&gt;&lt;br /&gt;
| |
&lt;tt&gt; sLsssssLssLsssssLssLs &lt;/tt&gt; (OTC MODMOS) - gc 13,2,2; 4o&lt;br /&gt;
| |
&lt;br /&gt;
|-
symmetric mode: &lt;tt&gt; sLsssssLssLssLsssssLs &lt;/tt&gt;&lt;br /&gt;
| | <tt> sLs sLssLssss sLssLssss </tt>
&lt;br /&gt;
| |
all modes:&lt;br /&gt;
| |
|-
| | <tt> Lss LssLsssss LssLsssss </tt>
| |
| |
|-
| | <tt> ssL ssLsssssL ssLsssssL </tt>
| |
| | <tt> ssLssLsss ssLssLsss ssL </tt>
|-
| | <tt> sLs sLsssssLs sLsssssLs </tt>
| |
| | <tt> sLssLssss sLssLssss sLs </tt>
|-
| | <tt> Lss LsssssLss LsssssLss </tt>
| |
| | <tt> LssLsssss LssLsssss Lss </tt>
|-
| | <tt> ssL sssssLssL sssssLssL </tt>
| |
| | <tt> ssLsssssL ssLsssssL ssL </tt>
|-
| | <tt> sLs ssssLssLs ssssLssLs </tt>
| |
| | <tt> sLsssssLs sLsssssLs sLs </tt>
|-
| | <tt> Lss sssLssLss sssLssLss </tt>
| |
| | <tt> LsssssLss LsssssLss Lss </tt>
|-
| |
| |
| | <tt> sssssLssL sssssLssL ssL </tt>
|-
| |
| |
| | <tt> ssssLssLs ssssLssLs sLs </tt>
|-
| |
| |
| | <tt> sssLssLss sssLssLss Lss </tt>
|-
| |
| | <tt> ssLssLsss ssL ssLssLsss </tt>
| |  
|-
| |  
| | <tt> sLssLssss sLs sLssLssss </tt>
| |
|-
| |
| | <tt> LssLsssss Lss LssLsssss </tt>
| |
|-
| |
| | <tt> ssLsssssL ssL ssLsssssL </tt>
| |
|}


[[File:21_05_16_sLsssssLs_sLs_sLsssssLs.png|alt=21_05_16_sLsssssLs_sLs_sLsssssLs.png|21_05_16_sLsssssLs_sLs_sLsssssLs.png]]


&lt;table class="wiki_table"&gt;
=== See also ===
    &lt;tr&gt;
* [[Omnitetrachordality]]
        &lt;td&gt;&lt;br /&gt;
* [[Gallery of omnitetrachordal scales]]
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssssLs sLs sLsssssLs &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; LsssssLss Lss LsssssLss &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; sssssLssL ssL sssssLssL &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; ssssLssLs sLs ssssLssLs &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; sssLssLss Lss sssLssLss &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; ssL ssLssLsss ssLssLsss &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; sLs sLssLssss sLssLssss &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; Lss LssLsssss LssLsssss &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; ssL ssLsssssL ssLsssssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLsss ssLssLsss ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs sLsssssLs sLsssssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLssss sLssLssss sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LsssssLss LsssssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsssss LssLsssss Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL sssssLssL sssssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsssssL ssLsssssL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs ssssLssLs ssssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssssLs sLsssssLs sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss sssLssLss sssLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssssLss LsssssLss Lss &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; sssssLssL sssssLssL ssL &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; ssssLssLs ssssLssLs sLs &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; sssLssLss sssLssLss Lss &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;tt&gt; ssLssLsss ssL ssLssLsss &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; sLssLssss sLs sLssLssss &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; LssLsssss Lss LssLsssss &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; ssLsssssL ssL ssLsssssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[[Category:21-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:MODMOS]]
[[Category:Omnitetrachordal]]
[[Category:Gorgo]]
[[Category:Laconic]]
{{Todo| cleanup }}

Latest revision as of 03:12, 24 June 2025

Omnitetrachordal MODMOS scale

5L+16s

21 tones (9+3+9)

laconic / gorgo

P = 4.780050258

Q = 11.4300921397 (4/3 = 2L+7.5s)

L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)

s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)

9/8 = L+2s (171.43 to 240.00 cents)

4/3 = 2L+7s (480.00 to 514.29 cents)

MOS generator = L+3s (228.57 to 240.00 cents)

notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77

ssLsssLsssLssssLsssLs (MOS, not OTC)

 ||   ||       ||    

sLsssssLssLsssssLssLs (OTC MODMOS) - gc 13,2,2; 4o

symmetric mode: sLsssssLssLssLsssssLs

all modes:

sLsssssLs sLs sLsssssLs
LsssssLss Lss LsssssLss
sssssLssL ssL sssssLssL
ssssLssLs sLs ssssLssLs
sssLssLss Lss sssLssLss
ssL ssLssLsss ssLssLsss
sLs sLssLssss sLssLssss
Lss LssLsssss LssLsssss
ssL ssLsssssL ssLsssssL ssLssLsss ssLssLsss ssL
sLs sLsssssLs sLsssssLs sLssLssss sLssLssss sLs
Lss LsssssLss LsssssLss LssLsssss LssLsssss Lss
ssL sssssLssL sssssLssL ssLsssssL ssLsssssL ssL
sLs ssssLssLs ssssLssLs sLsssssLs sLsssssLs sLs
Lss sssLssLss sssLssLss LsssssLss LsssssLss Lss
sssssLssL sssssLssL ssL
ssssLssLs ssssLssLs sLs
sssLssLss sssLssLss Lss
ssLssLsss ssL ssLssLsss
sLssLssss sLs sLssLssss
LssLsssss Lss LssLsssss
ssLsssssL ssL ssLsssssL

21_05_16_sLsssssLs_sLs_sLsssssLs.png

See also