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OTC 5L 12s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Omnitetrachordal MOS 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 20:39:04 UTC</tt>.<br>
[[5L_12s|5L+12s]]
: The original revision id was <tt>590700176</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 MOS scale
[[5L 12s|5L+12s]]
17 tones (7+3+7)
17 tones (7+3+7)


[[Superpyth]] / ultrapyth MOS.  Imperfect, best at low L/s.  Many modes may be split two ways.
[[Superpyth|Superpyth]] / ultrapyth MOS.  Imperfect, best at low L/s.  Many modes may be split two ways.


[[Gallery of omnitetrachordal scales#perfect|P]] = 0.2600167527
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 0.2600167527
[[Gallery of omnitetrachordal scales#Q|Q]] = 6.9100586343 (4/3 = 2L+5.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 6.9100586343 (4/3 = 2L+5.5s)


L = 70.59 to 240.00 cents (178.13 cents @ Q)
L = 70.59 to 240.00 cents (178.13 cents @ Q)
s = 0.00 to 70.59 cents (25.78 cents @ Q)
s = 0.00 to 70.59 cents (25.78 cents @ Q)


9/8 = L+2s (211.76 to 240.00 cents)
9/8 = L+2s (211.76 to 240.00 cents)
4/3 = 2L+5s (480.00 to 494.12 cents)
4/3 = 2L+5s (480.00 to 494.12 cents)
generator = 4/3
generator = 4/3


notable EDOs: 22, 27, 32, 37, 39
notable EDOs: 22, 27, 32, 37, 39


symmetric mode: {{ sLsssLssLssLsssLs }}
symmetric mode: <tt> sLsssLssLssLsssLs </tt>


all modes:
all modes:
|| {{ Lss LssLsss LssLsss }} || || ||
|| {{ ssL ssLsssL ssLsssL }} || || {{ ssLssLs ssLssLs ssL }} ||
|| {{ sLs sLsssLs sLsssLs }} || || {{ sLssLss sLssLss sLs }} ||
|| {{ Lss LsssLss LsssLss }} || || {{ LssLsss LssLsss Lss }} ||
|| {{ ssL sssLssL sssLssL }} || || {{ ssLsssL ssLsssL ssL }} ||
|| {{ sLs ssLssLs ssLssLs }} || || {{ sLsssLs sLsssLs sLs }} ||
|| {{ Lss sLssLss sLssLss }} || || {{ LsssLss LsssLss Lss }} ||
|| || || {{ sssLssL sssLssL ssL }} ||
|| || {{ ssLssLs ssL ssLssLs }} || {{ ssLssLs ssLssLs sLs }} ||
|| || {{ sLssLss sLs sLssLss }} || {{ sLssLss sLssLss Lss }} ||
|| || {{ LssLsss Lss LssLsss }} || ||
|| || {{ ssLsssL ssL ssLsssL }} || ||
|| || {{ sLsssLs sLs sLsssLs }} || ||
|| || {{ LsssLss Lss LsssLss }} || ||
|| || {{ sssLssL ssL sssLssL }} || ||
|| {{ ssL ssLssLs ssLssLs }} || {{ ssLssLs sLs ssLssLs }} || ||
|| {{ sLs sLssLss sLssLss }} || {{ sLssLss Lss sLssLss }} || ||


[[image:17_05_12_sssLssL_ssL_sssLssL.png]]
{| class="wikitable"
|-
| | <tt> Lss LssLsss LssLsss </tt>
| |
| |
|-
| | <tt> ssL ssLsssL ssLsssL </tt>
| |
| | <tt> ssLssLs ssLssLs ssL </tt>
|-
| | <tt> sLs sLsssLs sLsssLs </tt>
| |
| | <tt> sLssLss sLssLss sLs </tt>
|-
| | <tt> Lss LsssLss LsssLss </tt>
| |
| | <tt> LssLsss LssLsss Lss </tt>
|-
| | <tt> ssL sssLssL sssLssL </tt>
| |
| | <tt> ssLsssL ssLsssL ssL </tt>
|-
| | <tt> sLs ssLssLs ssLssLs </tt>
| |
| | <tt> sLsssLs sLsssLs sLs </tt>
|-
| | <tt> Lss sLssLss sLssLss </tt>
| |
| | <tt> LsssLss LsssLss Lss </tt>
|-
| |
| |
| | <tt> sssLssL sssLssL ssL </tt>
|-
| |
| | <tt> ssLssLs ssL ssLssLs </tt>
| | <tt> ssLssLs ssLssLs sLs </tt>
|-
| |
| | <tt> sLssLss sLs sLssLss </tt>
| | <tt> sLssLss sLssLss Lss </tt>
|-
| |
| | <tt> LssLsss Lss LssLsss </tt>
| |
|-
| |
| | <tt> ssLsssL ssL ssLsssL </tt>
| |
|-
| |
| | <tt> sLsssLs sLs sLsssLs </tt>
| |
|-
| |
| | <tt> LsssLss Lss LsssLss </tt>
| |
|-
| |
| | <tt> sssLssL ssL sssLssL </tt>
| |
|-
| | <tt> ssL ssLssLs ssLssLs </tt>
| | <tt> ssLssLs sLs ssLssLs </tt>
| |
|-
| | <tt> sLs sLssLss sLssLss </tt>
| | <tt> sLssLss Lss sLssLss </tt>
| |
|}
 
[[File:17_05_12_sssLssL_ssL_sssLssL.png|alt=17_05_12_sssLssL_ssL_sssLssL.png|17_05_12_sssLssL_ssL_sssLssL.png]]


===See also===
===See also===
* [[Omnitetrachordality]]
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
* [[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 5L 12s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/5L%2012s"&gt;5L+12s&lt;/a&gt;&lt;br /&gt;
17 tones (7+3+7)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Superpyth"&gt;Superpyth&lt;/a&gt; / ultrapyth MOS.  Imperfect, best at low L/s.  Many modes may be split two ways.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 0.2600167527&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 6.9100586343 (4/3 = 2L+5.5s)&lt;br /&gt;
&lt;br /&gt;
L = 70.59 to 240.00 cents (178.13 cents @ Q)&lt;br /&gt;
s = 0.00 to 70.59 cents (25.78 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+2s (211.76 to 240.00 cents)&lt;br /&gt;
4/3 = 2L+5s (480.00 to 494.12 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 22, 27, 32, 37, 39&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; sLsssLssLssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LssLsss LssLsss &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 ssLsssL ssLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLs ssLssLs ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs sLsssLs sLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLss sLssLss sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LsssLss LsssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsss LssLsss Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL sssLssL sssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsssL ssLsssL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs ssLssLs ssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLs sLsssLs sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss sLssLss sLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLss LsssLss 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; sssLssL sssLssL 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; ssLssLs ssL ssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLs ssLssLs 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; sLssLss sLs sLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLss sLssLss 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; LssLsss Lss LssLsss &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; ssLsssL ssL ssLsssL &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; sLsssLs sLs sLsssLs &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; LsssLss Lss LsssLss &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; sssLssL ssL sssLssL &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 ssLssLs ssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLs sLs ssLssLs &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 sLssLss sLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLss Lss sLssLss &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;
&lt;!-- ws:start:WikiTextLocalImageRule:146:&amp;lt;img src=&amp;quot;/file/view/17_05_12_sssLssL_ssL_sssLssL.png/589273864/17_05_12_sssLssL_ssL_sssLssL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17_05_12_sssLssL_ssL_sssLssL.png/589273864/17_05_12_sssLssL_ssL_sssLssL.png" alt="17_05_12_sssLssL_ssL_sssLssL.png" title="17_05_12_sssLssL_ssL_sssLssL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:146 --&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>
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