OTC 7L 8s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>spt3125
**Imported revision 590699878 - Original comment: **
 
Tag: Manual revert
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
<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 20:32:41 UTC</tt>.<br>
[[7L_8s|7L+8s]]
: The original revision id was <tt>590699878</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 8s|7L+8s]]
15 tones (6+3+6)
15 tones (6+3+6)


[[Porcupine]], 2 forms
[[Porcupine|Porcupine]], 2 forms
 
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 3.3809207248


[[Gallery of omnitetrachordal scales#perfect|P]] = 3.3809207248
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 8.6586615703 (4/3 = 3L+2.5s)
[[Gallery of omnitetrachordal scales#Q|Q]] = 8.6586615703 (4/3 = 3L+2.5s)


L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)
L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)
s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)
s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)


9/8 = L+2s (171.43 to 240.00 cents)
9/8 = L+2s (171.43 to 240.00 cents)
4/3 = 3L+3s (480.00 to 514.29 cents)
4/3 = 3L+3s (480.00 to 514.29 cents)
MOS generator = L+s (160.0 to 171.4 cents)
MOS generator = L+s (160.0 to 171.4 cents)


notable EDOs: 22, 29, 36, 37, 43, 65
notable EDOs: 22, 29, 36, 37, 43, 65


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


{{ LsLsLsLsLsLsLss }} (MOS, not OTC)
<tt>    ||    ||     </tt>
{{    ||    ||     }}
{{ LsLLssLsLLssLss }} (OTC MODMOS, form 1)
 


{{ LsLsLsLsLsLsLss }} (MOS, not OTC)
<tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1)
{{   ||    ||      }}
{{ LssLLsLssLLsLss }} (OTC MODMOS, form 2)


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


{{ LsLLssLsLLssLss }} (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans
<tt>   ||    ||      </tt>
{{   | |   | |     }}
{{ LssLLsLssLLsLss }} (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans


<tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2)


all modes, form 1:
<tt> LsLLssLsLLssLss </tt> (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans
|| {{ Lss LsLLss LsLLss }} || || {{ LssLsL LssLsL Lss }} ||
|| {{ ssL sLLssL sLLssL }} || || {{ ssLsLL ssLsLL ssL }} ||
|| {{ sLs LLssLs LLssLs }} || || {{ sLsLLs sLsLLs sLs }} ||
|| || || {{ LsLLss LsLLss Lss }} ||
|| || || {{ sLLssL sLLssL ssL }} ||
|| || || {{ LLssLs LLssLs sLs }} ||
|| || {{ LssLsL Lss LssLsL }} || ||
|| || {{ ssLsLL ssL ssLsLL }} || ||
|| || {{ sLsLLs sLs sLsLLs }} || ||
|| || {{ LsLLss Lss LsLLss }} || ||
|| || {{ sLLssL ssL sLLssL }} || ||
|| || {{ LLssLs sLs LLssLs }} || ||
|| {{ Lss LssLsL LssLsL }} || || ||
|| {{ ssL ssLsLL ssLsLL }} || || ||
|| {{ sLs sLsLLs sLsLLs }} || || ||


all modes, form 2:
<tt>   | |   | |     </tt>
|| {{ sLs sLLsLs sLLsLs }} || || {{ sLssLL sLssLL sLs }} ||
|| {{ Lss LLsLss LLsLss }} || || {{ LssLLs LssLLs Lss }} ||
|| {{ ssL LsLssL LsLssL }} || || {{ ssLLsL ssLLsL ssL }} ||
|| || || {{ sLLsLs sLLsLs sLs }} ||
|| || || {{ LLsLss LLsLss Lss }} ||
|| || || {{ LsLssL LsLssL ssL }} ||
|| || {{ sLssLL sLs sLssLL }} || ||
|| || {{ LssLLs Lss LssLLs }} || ||
|| || {{ ssLLsL ssL ssLLsL }} || ||
|| || {{ sLLsLs sLs sLLsLs }} || ||
|| || {{ LLsLss Lss LLsLss }} || ||
|| || {{ LsLssL ssL LsLssL }} || ||
|| {{ sLs sLssLL sLssLL }} || || ||
|| {{ Lss LssLLs LssLLs }} || || ||
|| {{ ssL ssLLsL ssLLsL }} || || ||


[[image:15_07_08_ssLsLL_ssL_ssLsLL.png]]
<tt> LssLLsLssLLsLss </tt> (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans


===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 8s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%208s"&gt;7L+8s&lt;/a&gt;&lt;br /&gt;
15 tones (6+3+6)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Porcupine"&gt;Porcupine&lt;/a&gt;, 2 forms&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 3.3809207248&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 8.6586615703 (4/3 = 3L+2.5s)&lt;br /&gt;
&lt;br /&gt;
L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)&lt;br /&gt;
s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+2s (171.43 to 240.00 cents)&lt;br /&gt;
4/3 = 3L+3s (480.00 to 514.29 cents)&lt;br /&gt;
MOS generator = L+s (160.0 to 171.4 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 22, 29, 36, 37, 43, 65&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLsLsLsLsLsLss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;    ||    ||     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LsLLssLsLLssLss &lt;/tt&gt; (OTC MODMOS, form 1)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLsLsLsLsLsLss &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;   ||    ||      &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LssLLsLssLLsLss &lt;/tt&gt; (OTC MODMOS, form 2)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LsLLssLsLLssLss &lt;/tt&gt; (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans&lt;br /&gt;
&lt;tt&gt;   | |   | |     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LssLLsLssLLsLss &lt;/tt&gt; (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
all modes, form 1:&lt;br /&gt;


{| class="wikitable"
|-
| | <tt> Lss LsLLss LsLLss </tt>
| |
| | <tt> LssLsL LssLsL Lss </tt>
|-
| | <tt> ssL sLLssL sLLssL </tt>
| |
| | <tt> ssLsLL ssLsLL ssL </tt>
|-
| | <tt> sLs LLssLs LLssLs </tt>
| |
| | <tt> sLsLLs sLsLLs sLs </tt>
|-
| |
| |
| | <tt> LsLLss LsLLss Lss </tt>
|-
| |
| |
| | <tt> sLLssL sLLssL ssL </tt>
|-
| |
| |
| | <tt> LLssLs LLssLs sLs </tt>
|-
| |
| | <tt> LssLsL Lss LssLsL </tt>
| |
|-
| |
| | <tt> ssLsLL ssL ssLsLL </tt>
| |
|-
| |
| | <tt> sLsLLs sLs sLsLLs </tt>
| |
|-
| |
| | <tt> LsLLss Lss LsLLss </tt>
| |
|-
| |
| | <tt> sLLssL ssL sLLssL </tt>
| |
|-
| |
| | <tt> LLssLs sLs LLssLs </tt>
| |
|-
| | <tt> Lss LssLsL LssLsL </tt>
| |
| |
|-
| | <tt> ssL ssLsLL ssLsLL </tt>
| |
| |
|-
| | <tt> sLs sLsLLs sLsLLs </tt>
| |
| |
|}


&lt;table class="wiki_table"&gt;
all modes, form 2:
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LsLLss LsLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsL LssLsL Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL sLLssL sLLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsLL ssLsLL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs LLssLs LLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLLs sLsLLs 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; LsLLss LsLLss 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; sLLssL sLLssL 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; LLssLs LLssLs 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; LssLsL Lss LssLsL &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; ssLsLL ssL ssLsLL &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; sLsLLs sLs sLsLLs &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; LsLLss Lss LsLLss &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; sLLssL ssL sLLssL &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; LLssLs sLs LLssLs &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 LssLsL LssLsL &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 ssLsLL ssLsLL &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 sLsLLs sLsLLs &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;/table&gt;


&lt;br /&gt;
{| class="wikitable"
all modes, form 2:&lt;br /&gt;
|-
| | <tt> sLs sLLsLs sLLsLs </tt>
| |
| | <tt> sLssLL sLssLL sLs </tt>
|-
| | <tt> Lss LLsLss LLsLss </tt>
| |
| | <tt> LssLLs LssLLs Lss </tt>
|-
| | <tt> ssL LsLssL LsLssL </tt>
| |
| | <tt> ssLLsL ssLLsL ssL </tt>
|-
| |
| |
| | <tt> sLLsLs sLLsLs sLs </tt>
|-
| |
| |
| | <tt> LLsLss LLsLss Lss </tt>
|-
| |
| |
| | <tt> LsLssL LsLssL ssL </tt>
|-
| |
| | <tt> sLssLL sLs sLssLL </tt>
| |
|-
| |
| | <tt> LssLLs Lss LssLLs </tt>
| |
|-
| |
| | <tt> ssLLsL ssL ssLLsL </tt>
| |
|-
| |
| | <tt> sLLsLs sLs sLLsLs </tt>
| |
|-
| |
| | <tt> LLsLss Lss LLsLss </tt>
| |
|-
| |
| | <tt> LsLssL ssL LsLssL </tt>
| |
|-
| | <tt> sLs sLssLL sLssLL </tt>
| |
| |
|-
| | <tt> Lss LssLLs LssLLs </tt>
| |
| |
|-
| | <tt> ssL ssLLsL ssLLsL </tt>
| |
| |
|}


[[File:15_07_08_ssLsLL_ssL_ssLsLL.png|alt=15_07_08_ssLsLL_ssL_ssLsLL.png|15_07_08_ssLsLL_ssL_ssLsLL.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 sLLsLs sLLsLs &lt;/tt&gt;&lt;br /&gt;
[[Category:15-tone scales]]
&lt;/td&gt;
[[Category:Tempered scales]]
        &lt;td&gt;&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
&lt;/td&gt;
[[Category:MODMOS]]
        &lt;td&gt;&lt;tt&gt; sLssLL sLssLL sLs &lt;/tt&gt;&lt;br /&gt;
[[Category:Omnitetrachordal]]
&lt;/td&gt;
[[Category:Porcupine]]
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LLsLss LLsLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLLs LssLLs Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL LsLssL LsLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLsL ssLLsL 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; sLLsLs sLLsLs 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; LLsLss LLsLss 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; LsLssL LsLssL 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; sLssLL sLs sLssLL &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; LssLLs Lss LssLLs &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; ssLLsL ssL ssLLsL &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; sLLsLs sLs sLLsLs &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; LLsLss Lss LLsLss &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; LsLssL ssL LsLssL &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 sLssLL sLssLL &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 LssLLs LssLLs &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 ssLLsL ssLLsL &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;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:252:&amp;lt;img src=&amp;quot;/file/view/15_07_08_ssLsLL_ssL_ssLsLL.png/589273856/15_07_08_ssLsLL_ssL_ssLsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/15_07_08_ssLsLL_ssL_ssLsLL.png/589273856/15_07_08_ssLsLL_ssL_ssLsLL.png" alt="15_07_08_ssLsLL_ssL_ssLsLL.png" title="15_07_08_ssLsLL_ssL_ssLsLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:252 --&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>

Latest revision as of 03:12, 24 June 2025

Omnitetrachordal MODMOS scale

7L+8s

15 tones (6+3+6)

Porcupine, 2 forms

P = 3.3809207248

Q = 8.6586615703 (4/3 = 3L+2.5s)

L = 80.00 to 171.43 cents (128.12 cents @ P, 151.44 cents @ Q)

s = 0.00 to 80.00 cents (37.89 cents @ P, 17.49 cents @ Q)

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

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

MOS generator = L+s (160.0 to 171.4 cents)

notable EDOs: 22, 29, 36, 37, 43, 65

LsLsLsLsLsLsLss (MOS, not OTC)

   ||    ||    

LsLLssLsLLssLss (OTC MODMOS, form 1)

LsLsLsLsLsLsLss (MOS, not OTC)

  ||    ||     

LssLLsLssLLsLss (OTC MODMOS, form 2)

LsLLssLsLLssLss (OTC MODMOS, form 1) - gen chains 9,2,2 / 2 orphans

  | |   | |    

LssLLsLssLLsLss (OTC MODMOS, form 2) - gen chains 9,2,2 / 2 orphans

all modes, form 1:

Lss LsLLss LsLLss LssLsL LssLsL Lss
ssL sLLssL sLLssL ssLsLL ssLsLL ssL
sLs LLssLs LLssLs sLsLLs sLsLLs sLs
LsLLss LsLLss Lss
sLLssL sLLssL ssL
LLssLs LLssLs sLs
LssLsL Lss LssLsL
ssLsLL ssL ssLsLL
sLsLLs sLs sLsLLs
LsLLss Lss LsLLss
sLLssL ssL sLLssL
LLssLs sLs LLssLs
Lss LssLsL LssLsL
ssL ssLsLL ssLsLL
sLs sLsLLs sLsLLs

all modes, form 2:

sLs sLLsLs sLLsLs sLssLL sLssLL sLs
Lss LLsLss LLsLss LssLLs LssLLs Lss
ssL LsLssL LsLssL ssLLsL ssLLsL ssL
sLLsLs sLLsLs sLs
LLsLss LLsLss Lss
LsLssL LsLssL ssL
sLssLL sLs sLssLL
LssLLs Lss LssLLs
ssLLsL ssL ssLLsL
sLLsLs sLs sLLsLs
LLsLss Lss LLsLss
LsLssL ssL LsLssL
sLs sLssLL sLssLL
Lss LssLLs LssLLs
ssL ssLLsL ssLLsL

15_07_08_ssLsLL_ssL_ssLsLL.png

See also