OTC 14L 10s

From Xenharmonic Wiki
Revision as of 21:57, 2 September 2016 by Wikispaces>spt3125 (**Imported revision 590989428 - Original comment: **)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author spt3125 and made on 2016-09-02 21:57:19 UTC.
The original revision id was 590989428.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Omnitetrachordal MODMOS scale
[[14L 10s|14L+10s]]
24 tones (10+4+10)

[[Dicot family#Decimal|Decimal/decimated]]; 2 forms; best at low L/s.  At P, it is essentially a tempered version of 24edo.

[[Gallery of omnitetrachordal scales#perfect|P]] = 1.04824036
[[Gallery of omnitetrachordal scales#Q|Q]] = 3.4325106644 (4/3 = 6L+3.5s)

L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)
s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)

9/8 = 2L+2s (171.43 to 200.00 cents)
4/3 = 6L+4s (500.00 to 514.29 cents)
MOS generator = 3L+2s (250.00 to 257.14 cents)

notable EDOs: 38, 52, 62, 86

{{ LLsLsLLsLsLsLLsLsLLsLsLs }} (MOS, not OTC)
{{   |  | ||  |   || |  ||  }}
{{ LLLLssLLssLLLLssLLssLLss }} (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o

{{ LLsLsLLsLsLsLLsLsLLsLsLs }} (MOS, not OTC)
{{   ||||       || ||       }}
{{ LLLsLsLsLsLsLsLLLsLsLsLs }} (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o

{{ LLssLLssLLssLLLLssLLssLL }} (OTC MODMOS, form 1)
{{    ||  ||  ||    ||  ||  }}
{{ LLsLsLsLsLsLsLLLsLsLsLsL }} (OTC MODMOS, form 2)

symmetric modes:
{{ sLLssLLLLssLLssLLLLssLLs }} (form 1)
{{ LssLLLLssLLssLLssLLLLssL }} (form 1)

all modes, form 1:
|| {{ ssLL ssLLssLLLL ssLLssLLLL }} || || ||
|| {{ sLLs sLLssLLLLs sLLssLLLLs }} || || ||
|| {{ LLss LLssLLLLss LLssLLLLss }} || || {{ LLssLLssLL LLssLLssLL LLss }} ||
|| {{ LssL LssLLLLssL LssLLLLssL }} || || {{ LssLLssLLL LssLLssLLL LssL }} ||
|| {{ ssLL ssLLLLssLL ssLLLLssLL }} || || {{ ssLLssLLLL ssLLssLLLL ssLL }} ||
|| {{ sLLs sLLLLssLLs sLLLLssLLs }} || || {{ sLLssLLLLs sLLssLLLLs sLLs }} ||
|| {{ LLss LLLLssLLss LLLLssLLss }} || || {{ LLssLLLLss LLssLLLLss LLss }} ||
|| {{ LssL LLLssLLssL LLLssLLssL }} || || {{ LssLLLLssL LssLLLLssL LssL }} ||
|| {{ ssLL LLssLLssLL LLssLLssLL }} || || {{ ssLLLLssLL ssLLLLssLL ssLL }} ||
|| || || {{ sLLLLssLLs sLLLLssLLs sLLs }} ||
|| || || {{ LLLLssLLss LLLLssLLss LLss }} ||
|| || || {{ LLLssLLssL LLLssLLssL LssL }} ||
|| || {{ LLssLLssLL LLss LLssLLssLL }} || {{ LLssLLssLL LLssLLssLL ssLL }} ||
|| || {{ LssLLssLLL LssL LssLLssLLL }} || ||
|| || {{ ssLLssLLLL ssLL ssLLssLLLL }} || ||
|| || {{ sLLssLLLLs sLLs sLLssLLLLs }} || ||
|| || {{ LLssLLLLss LLss LLssLLLLss }} || ||
|| || {{ LssLLLLssL LssL LssLLLLssL }} || ||
|| || {{ ssLLLLssLL ssLL ssLLLLssLL }} || ||
|| || {{ sLLLLssLLs sLLs sLLLLssLLs }} || ||
|| || {{ LLLLssLLss LLss LLLLssLLss }} || ||
|| || {{ LLLssLLssL LssL LLLssLLssL }} || ||
|| {{ LLss LLssLLssLL LLssLLssLL }} || {{ LLssLLssLL ssLL LLssLLssLL }} || ||
|| {{ LssL LssLLssLLL LssLLssLLL }} || || ||

all modes, form 2:
|| {{ sLsL sLsLsLsLLL sLsLsLsLLL }} || || ||
|| {{ LsLs LsLsLsLLLs LsLsLsLLLs }} || || ||
|| {{ sLsL sLsLsLLLsL sLsLsLLLsL }} || || ||
|| {{ LsLs LsLsLLLsLs LsLsLLLsLs }} || || {{ LsLsLsLsLL LsLsLsLsLL LsLs }} ||
|| {{ sLsL sLsLLLsLsL sLsLLLsLsL }} || || {{ sLsLsLsLLL sLsLsLsLLL sLsL }} ||
|| {{ LsLs LsLLLsLsLs LsLLLsLsLs }} || || {{ LsLsLsLLLs LsLsLsLLLs LsLs }} ||
|| {{ sLsL sLLLsLsLsL sLLLsLsLsL }} || || {{ sLsLsLLLsL sLsLsLLLsL sLsL }} ||
|| {{ LsLs LLLsLsLsLs LLLsLsLsLs }} || || {{ LsLsLLLsLs LsLsLLLsLs LsLs }} ||
|| {{ sLsL LLsLsLsLsL LLsLsLsLsL }} || || {{ sLsLLLsLsL sLsLLLsLsL sLsL }} ||
|| || || {{ LsLLLsLsLs LsLLLsLsLs LsLs }} ||
|| || || {{ sLLLsLsLsL sLLLsLsLsL sLsL }} ||
|| || || {{ LLLsLsLsLs LLLsLsLsLs LsLs }} ||
|| || || {{ LLsLsLsLsL LLsLsLsLsL sLsL }} ||
|| || {{ LsLsLsLsLL LsLs LsLsLsLsLL }} || ||
|| || {{ sLsLsLsLLL sLsL sLsLsLsLLL }} || ||
|| || {{ LsLsLsLLLs LsLs LsLsLsLLLs }} || ||
|| || {{ sLsLsLLLsL sLsL sLsLsLLLsL }} || ||
|| || {{ LsLsLLLsLs LsLs LsLsLLLsLs }} || ||
|| || {{ sLsLLLsLsL sLsL sLsLLLsLsL }} || ||
|| || {{ LsLLLsLsLs LsLs LsLLLsLsLs }} || ||
|| || {{ sLLLsLsLsL sLsL sLLLsLsLsL }} || ||
|| || {{ LLLsLsLsLs LsLs LLLsLsLsLs }} || ||
|| || {{ LLsLsLsLsL sLsL LLsLsLsLsL }} || ||
|| {{ LsLs LsLsLsLsLL LsLsLsLsLL }} || || ||

[[image:24_14_10_LssLLLLssL_LssL_LssLLLLssL.png]]

===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]

Original HTML content:

<html><head><title>OTC 14L 10s</title></head><body>Omnitetrachordal MODMOS scale<br />
<a class="wiki_link" href="/14L%2010s">14L+10s</a><br />
24 tones (10+4+10)<br />
<br />
<a class="wiki_link" href="/Dicot%20family#Decimal">Decimal/decimated</a>; 2 forms; best at low L/s.  At P, it is essentially a tempered version of 24edo.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 1.04824036<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 3.4325106644 (4/3 = 6L+3.5s)<br />
<br />
L = 50.00 to 85.71 cents (50.98 cents @ P, 70.95 cents @ Q)<br />
s = 0.00 to 50.00 cents (48.63 cents @ P, 20.67 cents @ Q)<br />
<br />
9/8 = 2L+2s (171.43 to 200.00 cents)<br />
4/3 = 6L+4s (500.00 to 514.29 cents)<br />
MOS generator = 3L+2s (250.00 to 257.14 cents)<br />
<br />
notable EDOs: 38, 52, 62, 86<br />
<br />
<tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC)<br />
<tt>   |  | ||  |   || |  ||  </tt><br />
<tt> LLLLssLLssLLLLssLLssLLss </tt> (OTC MODMOS, form 1) - gc 15; 9o ;; pc 2,2,2,2,2; 14o<br />
<br />
<tt> LLsLsLLsLsLsLLsLsLLsLsLs </tt> (MOS, not OTC)<br />
<tt>   ||||       || ||       </tt><br />
<tt> LLLsLsLsLsLsLsLLLsLsLsLs </tt> (OTC MODMOS, form 2) - gc 10,6; 8o ;; pc 2,2,2,2,2,2,2,2,2,2; 4o<br />
<br />
<tt> LLssLLssLLssLLLLssLLssLL </tt> (OTC MODMOS, form 1)<br />
<tt>    ||  ||  ||    ||  ||  </tt><br />
<tt> LLsLsLsLsLsLsLLLsLsLsLsL </tt> (OTC MODMOS, form 2)<br />
<br />
symmetric modes:<br />
<tt> sLLssLLLLssLLssLLLLssLLs </tt> (form 1)<br />
<tt> LssLLLLssLLssLLssLLLLssL </tt> (form 1)<br />
<br />
all modes, form 1:<br />


<table class="wiki_table">
    <tr>
        <td><tt> ssLL ssLLssLLLL ssLLssLLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs sLLssLLLLs sLLssLLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLssLLLLss LLssLLLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLLssLL LLssLLssLL LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LssLLLLssL LssLLLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLssLLL LssLLssLLL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL ssLLLLssLL ssLLLLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLssLLLL ssLLssLLLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLLs sLLLLssLLs sLLLLssLLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLLssLLLLs sLLssLLLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLLLssLLss LLLLssLLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LLssLLLLss LLssLLLLss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LLLssLLssL LLLssLLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLLLLssL LssLLLLssL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssLL LLssLLssLL LLssLLssLL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLLLLssLL ssLLLLssLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLLssLLs sLLLLssLLs sLLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLLssLLss LLLLssLLss LLss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLssLLssL LLLssLLssL LssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLLssLL LLss LLssLLssLL </tt><br />
</td>
        <td><tt> LLssLLssLL LLssLLssLL ssLL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLssLLL LssL LssLLssLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLssLLLL ssLL ssLLssLLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLssLLLLs sLLs sLLssLLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLssLLLLss LLss LLssLLLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLLLLssL LssL LssLLLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLLLLssLL ssLL ssLLLLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLLssLLs sLLs sLLLLssLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLLssLLss LLss LLLLssLLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLssLLssL LssL LLLssLLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LLss LLssLLssLL LLssLLssLL </tt><br />
</td>
        <td><tt> LLssLLssLL ssLL LLssLLssLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LssL LssLLssLLL LssLLssLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
all modes, form 2:<br />


<table class="wiki_table">
    <tr>
        <td><tt> sLsL sLsLsLsLLL sLsLsLsLLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLsLLLs LsLsLsLLLs </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLsLLLsL sLsLsLLLsL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLLLsLs LsLsLLLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsLsLL LsLsLsLsLL LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLsLLLsLsL sLsLLLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLsLLL sLsLsLsLLL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLLLsLsLs LsLLLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLsLLLs LsLsLsLLLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL sLLLsLsLsL sLLLsLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLsLLLsL sLsLsLLLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LLLsLsLsLs LLLsLsLsLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsLsLLLsLs LsLsLLLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLsL LLsLsLsLsL LLsLsLsLsL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsLLLsLsL sLsLLLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LsLLLsLsLs LsLLLsLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sLLLsLsLsL sLLLsLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLLsLsLsLs LLLsLsLsLs LsLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> LLsLsLsLsL LLsLsLsLsL sLsL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsLsLL LsLs LsLsLsLsLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLsLLL sLsL sLsLsLsLLL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLsLLLs LsLs LsLsLsLLLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLsLLLsL sLsL sLsLsLLLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLsLLLsLs LsLs LsLsLLLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsLLLsLsL sLsL sLsLLLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsLLLsLsLs LsLs LsLLLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLLLsLsLsL sLsL sLLLsLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLLsLsLsLs LsLs LLLsLsLsLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LLsLsLsLsL sLsL LLsLsLsLsL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> LsLs LsLsLsLsLL LsLsLsLsLL </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextLocalImageRule:396:&lt;img src=&quot;/file/view/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png/590988890/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png/590988890/24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" alt="24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" title="24_14_10_LssLLLLssL_LssL_LssLLLLssL.png" /><!-- ws:end:WikiTextLocalImageRule:396 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:0 -->See also</h3>
<ul><li><a class="wiki_link" href="/Omnitetrachordality">Omnitetrachordality</a></li><li><a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales">Gallery of omnitetrachordal scales</a></li></ul></body></html>