OTC 7L 6s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
VisualWikitext
Wikispaces>spt3125
**Imported revision 590312920 - Original comment: **
 
Lériendil (talk | contribs)
8,046 edits
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>2016-08-28 22:25:23 UTC</tt>.<br>
[[7L_6s|7L+6s]]
: The original revision id was <tt>590312920</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 6s|7L+6s]]
13 tones (5+3+5)
13 tones (5+3+5)


[[Tetracot family|Tetracot]] MODMOS.  Best tuned at high values of L/s.
[[Tetracot_family|Tetracot]] MODMOS.  Best tuned at high values of L/s.


[[Gallery of omnitetrachordal scales#perfect|P]] = 5.1745609664
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 5.1745609664
[[Gallery of omnitetrachordal scales#Q|Q]] = 10.4523018119 (4/3 = 3L+1.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 10.4523018119 (4/3 = 3L+1.5s)


L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)
L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)


9/8 = L+2s (171.43 to 276.92 cents)
9/8 = L+2s (171.43 to 276.92 cents)
4/3 = 3L+2s (461.54 to 514.29 cents)
4/3 = 3L+2s (461.54 to 514.29 cents)
MOS generator = L+s (171.4 to 184.6 cents)
MOS generator = L+s (171.4 to 184.6 cents)


notable EDOs: 20, 27, 34, 41
notable EDOs: 20, 27, 34, 41


{{ sLsLsLsLsLsLL }} (MOS, not OTC)
<tt> sLsLsLsLsLsLL </tt> (MOS, not OTC)
{{  || || ||     }}
{{ ssLLLssLssLLL }} (OTC MODMOS) - gc 3,3,3; 4o


symmetric mode: {{ sLLLssLssLLLs }}
<tt>  || || ||     </tt>


all modes:
<tt> ssLLLssLssLLL </tt> (OTC MODMOS) - gc 3,3,3; 4o
|| || {{ ssLLL ssL ssLLL }} || ||
|| || {{ sLLLs sLs sLLLs }} || ||
|| || {{ LLLss Lss LLLss }} || ||
|| || {{ LLssL ssL LLssL }} || ||
|| {{ Lss LssLL LssLL }} || || ||
|| {{ ssL ssLLL ssLLL }} || || ||
|| {{ sLs sLLLs sLLLs }} || || ||
|| {{ Lss LLLss LLLss }} || || {{ LssLL LssLL Lss }} ||
|| {{ ssL LLssL LLssL }} || || {{ ssLLL ssLLL ssL }} ||
|| || || {{ sLLLs sLLLs sLs }} ||
|| || || {{ LLLss LLLss Lss }} ||
|| || || {{ LLssL LLssL ssL }} ||
|| || {{ LssLL Lss LssLL }} || ||


[[image:13_07_06_ssLLL_ssL_ssLLL.png]]
symmetric mode: <tt> sLLLssLssLLLs </tt>


===See also===
all modes:
* [[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 6s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/7L%206s"&gt;7L+6s&lt;/a&gt;&lt;br /&gt;
13 tones (5+3+5)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Tetracot%20family"&gt;Tetracot&lt;/a&gt; MODMOS.  Best tuned at high values 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; = 5.1745609664&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 10.4523018119 (4/3 = 3L+1.5s)&lt;br /&gt;
&lt;br /&gt;
L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)&lt;br /&gt;
s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+2s (171.43 to 276.92 cents)&lt;br /&gt;
4/3 = 3L+2s (461.54 to 514.29 cents)&lt;br /&gt;
MOS generator = L+s (171.4 to 184.6 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 20, 27, 34, 41&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; sLsLsLsLsLsLL &lt;/tt&gt; (MOS, not OTC)&lt;br /&gt;
&lt;tt&gt;  || || ||     &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; ssLLLssLssLLL &lt;/tt&gt; (OTC MODMOS) - gc 3,3,3; 4o&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; sLLLssLssLLLs &lt;/tt&gt;&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;


{| class="wikitable"
|-
| |
| | <tt> ssLLL ssL ssLLL </tt>
| |
|-
| |
| | <tt> sLLLs sLs sLLLs </tt>
| |
|-
| |
| | <tt> LLLss Lss LLLss </tt>
| |
|-
| |
| | <tt> LLssL ssL LLssL </tt>
| |
|-
| | <tt> Lss LssLL LssLL </tt>
| |
| |
|-
| | <tt> ssL ssLLL ssLLL </tt>
| |
| |
|-
| | <tt> sLs sLLLs sLLLs </tt>
| |
| |
|-
| | <tt> Lss LLLss LLLss </tt>
| |
| | <tt> LssLL LssLL Lss </tt>
|-
| | <tt> ssL LLssL LLssL </tt>
| |
| | <tt> ssLLL ssLLL ssL </tt>
|-
| |
| |
| | <tt> sLLLs sLLLs sLs </tt>
|-
| |
| |
| | <tt> LLLss LLLss Lss </tt>
|-
| |
| |
| | <tt> LLssL LLssL ssL </tt>
|-
| |
| | <tt> LssLL Lss LssLL </tt>
| |
|}


&lt;table class="wiki_table"&gt;
[[File:13_07_06_ssLLL_ssL_ssLLL.png|alt=13_07_06_ssLLL_ssL_ssLLL.png|13_07_06_ssLLL_ssL_ssLLL.png]]
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLL ssL ssLLL &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; sLLLs sLs sLLLs &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; LLLss Lss LLLss &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; LLssL ssL LLssL &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 LssLL LssLL &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 ssLLL ssLLL &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 sLLLs sLLLs &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 LLLss LLLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLL LssLL Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL LLssL LLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLLL ssLLL 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; sLLLs sLLLs 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; LLLss LLLss 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; LLssL LLssL 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; LssLL Lss LssLL &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;
===See also===
&lt;!-- ws:start:WikiTextLocalImageRule:114:&amp;lt;img src=&amp;quot;/file/view/13_07_06_ssLLL_ssL_ssLLL.png/589273840/13_07_06_ssLLL_ssL_ssLLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/13_07_06_ssLLL_ssL_ssLLL.png/589273840/13_07_06_ssLLL_ssL_ssLLL.png" alt="13_07_06_ssLLL_ssL_ssLLL.png" title="13_07_06_ssLLL_ssL_ssLLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:114 --&gt;&lt;br /&gt;
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
&lt;br /&gt;
[[Category:13-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:Tetracot]]

Latest revision as of 03:13, 24 June 2025

Omnitetrachordal MODMOS scale

7L+6s

13 tones (5+3+5)

Tetracot MODMOS. Best tuned at high values of L/s.

P = 5.1745609664

Q = 10.4523018119 (4/3 = 3L+1.5s)

L = 92.31 to 171.43 cents (147.07 cents @ P, 158.44 cents @ Q)

s = 0.00 to 92.31 cents (28.42 cents @ P, 15.16 cents @ Q)

9/8 = L+2s (171.43 to 276.92 cents)

4/3 = 3L+2s (461.54 to 514.29 cents)

MOS generator = L+s (171.4 to 184.6 cents)

notable EDOs: 20, 27, 34, 41

sLsLsLsLsLsLL (MOS, not OTC)

 || || ||    

ssLLLssLssLLL (OTC MODMOS) - gc 3,3,3; 4o

symmetric mode: sLLLssLssLLLs

all modes:

ssLLL ssL ssLLL
sLLLs sLs sLLLs
LLLss Lss LLLss
LLssL ssL LLssL
Lss LssLL LssLL
ssL ssLLL ssLLL
sLs sLLLs sLLLs
Lss LLLss LLLss LssLL LssLL Lss
ssL LLssL LLssL ssLLL ssLLL ssL
sLLLs sLLLs sLs
LLLss LLLss Lss
LLssL LLssL ssL
LssLL Lss LssLL

13_07_06_ssLLL_ssL_ssLLL.png

See also

Retrieved from "https://en.xen.wiki/index.php?title=OTC_7L_6s&oldid=203436"