OTC 7L 10s: 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>2016-08-31 20:42:55 UTC</tt>.<br>
[[7L_10s|7L+10s]]
: The original revision id was <tt>590700390</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
[[7L 10s|7L+10s]]
17 tones (7+3+7)
17 tones (7+3+7)


[[Mohajira]] / [[Neutral third scales|neutral-thirds]] MODMOS; 2 forms
[[Mohajira|Mohajira]] / [[Neutral_third_scales|neutral-thirds]] MODMOS; 2 forms
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.5872804832


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.5872804832
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 6.8650213288 (4/3 = 3L+3.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 6.8650213288 (4/3 = 3L+3.5s)


L = 70.59 to 171.43 cents (90.22 cents @ P, 141.90 cents @ Q)
L = 70.59 to 171.43 cents (90.22 cents @ P, 141.90 cents @ Q)
s = 0.00 to 70.59 cents (56.84 cents @ P, 20.67 cents @ Q)
s = 0.00 to 70.59 cents (56.84 cents @ P, 20.67 cents @ Q)


9/8 = L+2s (171.43 to 211.76 cents)
9/8 = L+2s (171.43 to 211.76 cents)
4/3 = 3L+4s (494.12 to 514.29 cents)
4/3 = 3L+4s (494.12 to 514.29 cents)
MOS generator = 2L+3s (342.9 to 352.9 cents)
MOS generator = 2L+3s (342.9 to 352.9 cents)


notable EDOs: 24, 31, 41, 65
notable EDOs: 24, 31, 41, 65


{{ ssLsLssLsLssLsLsL }} (MOS, not OTC)
<tt> ssLsLssLsLssLsLsL </tt> (MOS, not OTC)
{{     ||            }}
{{ ssLssLsLsLssLsLsL }} (OTC MODMOS, form 1) - gc 15; 2o


<tt>     ||            </tt>


{{ ssLsLssLsLssLsLsL }} (MOS, not OTC)
<tt> ssLssLsLsLssLsLsL </tt> (OTC MODMOS, form 1) - gc 15; 2o
{{    || ||     ||   }}
{{ ssLLssLssLssLLssL }} (OTC MODMOS, form 2) - gc 11; 6o


<tt> ssLsLssLsLssLsLsL </tt> (MOS, not OTC)


{{ sLsLsLssLssLsLsLs }} (OTC MODMOS, form 1)
<tt>    || ||     ||   </tt>
{{    ||       ||    }}
{{ sLssLLssLssLLssLs }} (OTC MODMOS, form 2)


<tt> ssLLssLssLssLLssL </tt> (OTC MODMOS, form 2) - gc 11; 6o


symmetric modes:
<tt> sLsLsLssLssLsLsLs </tt> (OTC MODMOS, form 1)
{{ sLsLsLssLssLsLsLs }} (form 1)
{{ sLssLLssLssLLssLs }} (form 2)


<tt>    ||       ||    </tt>


all modes, form 1:
<tt> sLssLLssLssLLssLs </tt> (OTC MODMOS, form 2)
|| || {{ sLsLsLs sLs sLsLsLs }} || ||
|| || {{ LsLsLss Lss LsLsLss }} || ||
|| || {{ sLsLssL ssL sLsLssL }} || ||
|| || {{ LsLssLs sLs LsLssLs }} || ||
|| {{ sLs sLssLsL sLssLsL }} || || ||
|| {{ Lss LssLsLs LssLsLs }} || || ||
|| {{ ssL ssLsLsL ssLsLsL }} || || ||
|| {{ sLs sLsLsLs sLsLsLs }} || || {{ sLssLsL sLssLsL sLs }} ||
|| {{ Lss LsLsLss LsLsLss }} || || {{ LssLsLs LssLsLs Lss }} ||
|| {{ ssL sLsLssL sLsLssL }} || || {{ ssLsLsL ssLsLsL ssL }} ||
|| {{ sLs LsLssLs LsLssLs }} || || {{ sLsLsLs sLsLsLs sLs }} ||
|| || || {{ LsLsLss LsLsLss Lss }} ||
|| || || {{ sLsLssL sLsLssL ssL }} ||
|| || || {{ LsLssLs LsLssLs sLs }} ||
|| || {{ sLssLsL sLs sLssLsL }} || ||
|| || {{ LssLsLs Lss LssLsLs }} || ||
|| || {{ ssLsLsL ssL ssLsLsL }} || ||


symmetric modes:


all modes, form 2:
<tt> sLsLsLssLssLsLsLs </tt> (form 1)
|| {{ sLs sLLssLs sLLssLs }} || || {{ sLssLLs sLssLLs sLs }} ||
|| {{ Lss LLssLss LLssLss }} || || {{ LssLLss LssLLss Lss }} ||
|| {{ ssL LssLssL LssLssL }} || || {{ ssLLssL ssLLssL ssL }} ||
|| || || {{ sLLssLs sLLssLs sLs }} ||
|| || || {{ LLssLss LLssLss Lss }} ||
|| || {{ LssLssL Lss LssLssL }} || {{ LssLssL LssLssL ssL }} ||
|| || {{ ssLssLL ssL ssLssLL }} || ||
|| || {{ sLssLLs sLs sLssLLs }} || ||
|| || {{ LssLLss Lss LssLLss }} || ||
|| || {{ ssLLssL ssL ssLLssL }} || ||
|| || {{ sLLssLs sLs sLLssLs }} || ||
|| || {{ LLssLss Lss LLssLss }} || ||
|| {{ Lss LssLssL LssLssL }} || {{ LssLssL ssL LssLssL }} || ||
|| {{ ssL ssLssLL ssLssLL }} || || ||
|| {{ sLs sLssLLs sLssLLs }} || || ||
|| {{ Lss LssLLss LssLLss }} || || {{ LssLssL LssLssL Lss }} ||
|| {{ ssL ssLLssL ssLLssL }} || || {{ ssLssLL ssLssLL ssL }} ||


[[image:17_07_10_LssLssL_ssL_LssLssL.png]]
<tt> sLssLLssLssLLssLs </tt> (form 2)


===See also===
all modes, form 1:
* [[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 7L 10s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%2010s"&gt;7L+10s&lt;/a&gt;&lt;br /&gt;
17 tones (7+3+7)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Mohajira"&gt;Mohajira&lt;/a&gt; / &lt;a class="wiki_link" href="/Neutral%20third%20scales"&gt;neutral-thirds&lt;/a&gt; MODMOS; 2 forms&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 1.5872804832&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 6.8650213288 (4/3 = 3L+3.5s)&lt;br /&gt;
&lt;br /&gt;
L = 70.59 to 171.43 cents (90.22 cents @ P, 141.90 cents @ Q)&lt;br /&gt;
s = 0.00 to 70.59 cents (56.84 cents @ P, 20.67 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+2s (171.43 to 211.76 cents)&lt;br /&gt;
4/3 = 3L+4s (494.12 to 514.29 cents)&lt;br /&gt;
MOS generator = 2L+3s (342.9 to 352.9 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 24, 31, 41, 65&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; ssLsLssLsLssLsLsL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;     ||            &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLssLsLsLssLsLsL &lt;/tt&gt; (OTC MODMOS, form 1) - gc 15; 2o&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; ssLsLssLsLssLsLsL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;    || ||     ||   &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLssLssLssLLssL &lt;/tt&gt; (OTC MODMOS, form 2) - gc 11; 6o&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLssLssLsLsLs &lt;/tt&gt; (OTC MODMOS, form 1)&lt;br /&gt;
&lt;tt&gt;    ||       ||    &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; sLssLLssLssLLssLs &lt;/tt&gt; (OTC MODMOS, form 2)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
symmetric modes:&lt;br /&gt;
&lt;tt&gt; sLsLsLssLssLsLsLs &lt;/tt&gt; (form 1)&lt;br /&gt;
&lt;tt&gt; sLssLLssLssLLssLs &lt;/tt&gt; (form 2)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> sLsLsLs sLs sLsLsLs </tt>
| |
|-
| |
| | <tt> LsLsLss Lss LsLsLss </tt>
| |
|-
| |
| | <tt> sLsLssL ssL sLsLssL </tt>
| |
|-
| |
| | <tt> LsLssLs sLs LsLssLs </tt>
| |
|-
| | <tt> sLs sLssLsL sLssLsL </tt>
| |
| |
|-
| | <tt> Lss LssLsLs LssLsLs </tt>
| |
| |
|-
| | <tt> ssL ssLsLsL ssLsLsL </tt>
| |
| |
|-
| | <tt> sLs sLsLsLs sLsLsLs </tt>
| |
| | <tt> sLssLsL sLssLsL sLs </tt>
|-
| | <tt> Lss LsLsLss LsLsLss </tt>
| |
| | <tt> LssLsLs LssLsLs Lss </tt>
|-
| | <tt> ssL sLsLssL sLsLssL </tt>
| |
| | <tt> ssLsLsL ssLsLsL ssL </tt>
|-
| | <tt> sLs LsLssLs LsLssLs </tt>
| |
| | <tt> sLsLsLs sLsLsLs sLs </tt>
|-
| |
| |
| | <tt> LsLsLss LsLsLss Lss </tt>
|-
| |
| |
| | <tt> sLsLssL sLsLssL ssL </tt>
|-
| |
| |
| | <tt> LsLssLs LsLssLs sLs </tt>
|-
| |
| | <tt> sLssLsL sLs sLssLsL </tt>
| |
|-
| |
| | <tt> LssLsLs Lss LssLsLs </tt>
| |
|-
| |
| | <tt> ssLsLsL ssL ssLsLsL </tt>
| |
|}


&lt;table class="wiki_table"&gt;
all modes, form 2:
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLs sLs sLsLsLs &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; LsLsLss Lss LsLsLss &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; sLsLssL ssL sLsLssL &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; LsLssLs sLs LsLssLs &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; sLs sLssLsL sLssLsL &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 LssLsLs LssLsLs &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 ssLsLsL ssLsLsL &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 sLsLsLs sLsLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLsL sLssLsL sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LsLsLss LsLsLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsLs LssLsLs Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL sLsLssL sLsLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsLsL ssLsLsL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs LsLssLs LsLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLsLs sLsLsLs 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; LsLsLss LsLsLss 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; sLsLssL sLsLssL 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; LsLssLs LsLssLs 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;tt&gt; sLssLsL sLs sLssLsL &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; LssLsLs Lss LssLsLs &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; ssLsLsL ssL ssLsLsL &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;
{| class="wikitable"
&lt;br /&gt;
|-
all modes, form 2:&lt;br /&gt;
| | <tt> sLs sLLssLs sLLssLs </tt>
| |
| | <tt> sLssLLs sLssLLs sLs </tt>
|-
| | <tt> Lss LLssLss LLssLss </tt>
| |
| | <tt> LssLLss LssLLss Lss </tt>
|-
| | <tt> ssL LssLssL LssLssL </tt>
| |
| | <tt> ssLLssL ssLLssL ssL </tt>
|-
| |
| |
| | <tt> sLLssLs sLLssLs sLs </tt>
|-
| |
| |
| | <tt> LLssLss LLssLss Lss </tt>
|-
| |
| | <tt> LssLssL Lss LssLssL </tt>
| | <tt> LssLssL LssLssL ssL </tt>
|-
| |
| | <tt> ssLssLL ssL ssLssLL </tt>
| |
|-
| |
| | <tt> sLssLLs sLs sLssLLs </tt>
| |
|-
| |
| | <tt> LssLLss Lss LssLLss </tt>
| |
|-
| |
| | <tt> ssLLssL ssL ssLLssL </tt>
| |
|-
| |
| | <tt> sLLssLs sLs sLLssLs </tt>
| |
|-
| |
| | <tt> LLssLss Lss LLssLss </tt>
| |
|-
| | <tt> Lss LssLssL LssLssL </tt>
| | <tt> LssLssL ssL LssLssL </tt>
| |
|-
| | <tt> ssL ssLssLL ssLssLL </tt>
| |
| |
|-
| | <tt> sLs sLssLLs sLssLLs </tt>
| |
| |
|-
| | <tt> Lss LssLLss LssLLss </tt>
| |
| | <tt> LssLssL LssLssL Lss </tt>
|-
| | <tt> ssL ssLLssL ssLLssL </tt>
| |
| | <tt> ssLssLL ssLssLL ssL </tt>
|}


[[File:17_07_10_LssLssL_ssL_LssLssL.png|alt=17_07_10_LssLssL_ssL_LssLssL.png|17_07_10_LssLssL_ssL_LssLssL.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;tt&gt; sLs sLLssLs sLLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLLs sLssLLs sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LLssLss LLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLss LssLLss Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL LssLssL LssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLssL ssLLssL 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; sLLssLs sLLssLs 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; LLssLss LLssLss 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; LssLssL Lss LssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLssL LssLssL 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;tt&gt; ssLssLL ssL ssLssLL &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; sLssLLs sLs sLssLLs &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; LssLLss Lss LssLLss &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; ssLLssL ssL ssLLssL &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; sLLssLs sLs sLLssLs &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; LLssLss Lss LLssLss &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; Lss LssLssL LssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLssL ssL LssLssL &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 ssLssLL ssLssLL &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 sLssLLs sLssLLs &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 LssLLss LssLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLssL LssLssL Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL ssLLssL ssLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLL ssLssLL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:284:&amp;lt;img src=&amp;quot;/file/view/17_07_10_LssLssL_ssL_LssLssL.png/589273866/17_07_10_LssLssL_ssL_LssLssL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17_07_10_LssLssL_ssL_LssLssL.png/589273866/17_07_10_LssLssL_ssL_LssLssL.png" alt="17_07_10_LssLssL_ssL_LssLssL.png" title="17_07_10_LssLssL_ssL_LssLssL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:284 --&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;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Omnitetrachordal MODMOS scale

7L+10s

17 tones (7+3+7)

Mohajira / neutral-thirds MODMOS; 2 forms

P = 1.5872804832

Q = 6.8650213288 (4/3 = 3L+3.5s)

L = 70.59 to 171.43 cents (90.22 cents @ P, 141.90 cents @ Q)

s = 0.00 to 70.59 cents (56.84 cents @ P, 20.67 cents @ Q)

9/8 = L+2s (171.43 to 211.76 cents)

4/3 = 3L+4s (494.12 to 514.29 cents)

MOS generator = 2L+3s (342.9 to 352.9 cents)

notable EDOs: 24, 31, 41, 65

ssLsLssLsLssLsLsL (MOS, not OTC)

    ||           

ssLssLsLsLssLsLsL (OTC MODMOS, form 1) - gc 15; 2o

ssLsLssLsLssLsLsL (MOS, not OTC)

   || ||     ||  

ssLLssLssLssLLssL (OTC MODMOS, form 2) - gc 11; 6o

sLsLsLssLssLsLsLs (OTC MODMOS, form 1)

   ||       ||   

sLssLLssLssLLssLs (OTC MODMOS, form 2)

symmetric modes:

sLsLsLssLssLsLsLs (form 1)

sLssLLssLssLLssLs (form 2)

all modes, form 1:

sLsLsLs sLs sLsLsLs
LsLsLss Lss LsLsLss
sLsLssL ssL sLsLssL
LsLssLs sLs LsLssLs
sLs sLssLsL sLssLsL
Lss LssLsLs LssLsLs
ssL ssLsLsL ssLsLsL
sLs sLsLsLs sLsLsLs sLssLsL sLssLsL sLs
Lss LsLsLss LsLsLss LssLsLs LssLsLs Lss
ssL sLsLssL sLsLssL ssLsLsL ssLsLsL ssL
sLs LsLssLs LsLssLs sLsLsLs sLsLsLs sLs
LsLsLss LsLsLss Lss
sLsLssL sLsLssL ssL
LsLssLs LsLssLs sLs
sLssLsL sLs sLssLsL
LssLsLs Lss LssLsLs
ssLsLsL ssL ssLsLsL

all modes, form 2:

sLs sLLssLs sLLssLs sLssLLs sLssLLs sLs
Lss LLssLss LLssLss LssLLss LssLLss Lss
ssL LssLssL LssLssL ssLLssL ssLLssL ssL
sLLssLs sLLssLs sLs
LLssLss LLssLss Lss
LssLssL Lss LssLssL LssLssL LssLssL ssL
ssLssLL ssL ssLssLL
sLssLLs sLs sLssLLs
LssLLss Lss LssLLss
ssLLssL ssL ssLLssL
sLLssLs sLs sLLssLs
LLssLss Lss LLssLss
Lss LssLssL LssLssL LssLssL ssL LssLssL
ssL ssLssLL ssLssLL
sLs sLssLLs sLssLLs
Lss LssLLss LssLLss LssLssL LssLssL Lss
ssL ssLLssL ssLLssL ssLssLL ssLssLL ssL

17_07_10_LssLssL_ssL_LssLssL.png

See also

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