OTC 5L 17s: 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>2016-09-02 21:50:16 UTC</tt>.<br>
[[5L_17s|5L+17s]]
: The original revision id was <tt>590989148</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 17s|5L+17s]]
22 tones (9+4+9)
22 tones (9+4+9)


[[superpyth]]; imperfect; best at low L/s
[[Superpyth|superpyth]]; imperfect; best at low L/s


[[Gallery of omnitetrachordal scales#perfect|P]] = -0.7399832473
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = -0.7399832473
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.9100586343 (4/3 = 2L+7.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 5.9100586343 (4/3 = 2L+7.5s)


L = 54.55 to 240.00 cents (152.35 cents @ Q)
L = 54.55 to 240.00 cents (152.35 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)
s = 0.00 to 54.55 cents (25.78 cents @ Q)


9/8 = L+3s (218.18 to 240.00 cents)
9/8 = L+3s (218.18 to 240.00 cents)
4/3 = 2L+7s (480.00 to 490.91 cents)
4/3 = 2L+7s (480.00 to 490.91 cents)
generator = 4/3
generator = 4/3


Line 25: Line 24:


all modes:
all modes:
|| || || {{ ssssLsssL ssssLsssL sssL }} ||
|| || {{ sssLsssLs sssL sssLsssLs }} || {{ sssLsssLs sssLsssLs ssLs }} ||
|| || {{ ssLsssLss ssLs ssLsssLss }} || {{ ssLsssLss ssLsssLss sLss }} ||
|| || {{ sLsssLsss sLss sLsssLsss }} || {{ sLsssLsss sLsssLsss Lsss }} ||
|| || {{ LsssLssss Lsss LsssLssss }} || ||
|| || {{ sssLssssL sssL sssLssssL }} || ||
|| || {{ ssLssssLs ssLs ssLssssLs }} || ||
|| || {{ sLssssLss sLss sLssssLss }} || ||
|| || {{ LssssLsss Lsss LssssLsss }} || ||
|| || {{ ssssLsssL sssL ssssLsssL }} || ||
|| {{ sssL sssLsssLs sssLsssLs }} || {{ sssLsssLs ssLs sssLsssLs }} || ||
|| {{ ssLs ssLsssLss ssLsssLss }} || {{ ssLsssLss sLss ssLsssLss }} || ||
|| {{ sLss sLsssLsss sLsssLsss }} || {{ sLsssLsss Lsss sLsssLsss }} || ||
|| {{ Lsss LsssLssss LsssLssss }} || || ||
|| {{ sssL sssLssssL sssLssssL }} || || {{ sssLsssLs sssLsssLs sssL }} ||
|| {{ ssLs ssLssssLs ssLssssLs }} || || {{ ssLsssLss ssLsssLss ssLs }} ||
|| {{ sLss sLssssLss sLssssLss }} || || {{ sLsssLsss sLsssLsss sLss }} ||
|| {{ Lsss LssssLsss LssssLsss }} || || {{ LsssLssss LsssLssss Lsss }} ||
|| {{ sssL ssssLsssL ssssLsssL }} || || {{ sssLssssL sssLssssL sssL }} ||
|| {{ ssLs sssLsssLs sssLsssLs }} || || {{ ssLssssLs ssLssssLs ssLs }} ||
|| {{ sLss ssLsssLss ssLsssLss }} || || {{ sLssssLss sLssssLss sLss }} ||
|| {{ Lsss sLsssLsss sLsssLsss }} || || {{ LssssLsss LssssLsss Lsss }} ||


[[image:22_05_17_LsssLssss_Lsss_LsssLssss.png]]
{| class="wikitable"
|-
| |
| |
| | <tt> ssssLsssL ssssLsssL sssL </tt>
|-
| |
| | <tt> sssLsssLs sssL sssLsssLs </tt>
| | <tt> sssLsssLs sssLsssLs ssLs </tt>
|-
| |
| | <tt> ssLsssLss ssLs ssLsssLss </tt>
| | <tt> ssLsssLss ssLsssLss sLss </tt>
|-
| |
| | <tt> sLsssLsss sLss sLsssLsss </tt>
| | <tt> sLsssLsss sLsssLsss Lsss </tt>
|-
| |
| | <tt> LsssLssss Lsss LsssLssss </tt>
| |
|-
| |
| | <tt> sssLssssL sssL sssLssssL </tt>
| |
|-
| |
| | <tt> ssLssssLs ssLs ssLssssLs </tt>
| |
|-
| |
| | <tt> sLssssLss sLss sLssssLss </tt>
| |
|-
| |
| | <tt> LssssLsss Lsss LssssLsss </tt>
| |
|-
| |
| | <tt> ssssLsssL sssL ssssLsssL </tt>
| |
|-
| | <tt> sssL sssLsssLs sssLsssLs </tt>
| | <tt> sssLsssLs ssLs sssLsssLs </tt>
| |
|-
| | <tt> ssLs ssLsssLss ssLsssLss </tt>
| | <tt> ssLsssLss sLss ssLsssLss </tt>
| |
|-
| | <tt> sLss sLsssLsss sLsssLsss </tt>
| | <tt> sLsssLsss Lsss sLsssLsss </tt>
| |
|-
| | <tt> Lsss LsssLssss LsssLssss </tt>
| |
| |
|-
| | <tt> sssL sssLssssL sssLssssL </tt>
| |
| | <tt> sssLsssLs sssLsssLs sssL </tt>
|-
| | <tt> ssLs ssLssssLs ssLssssLs </tt>
| |
| | <tt> ssLsssLss ssLsssLss ssLs </tt>
|-
| | <tt> sLss sLssssLss sLssssLss </tt>
| |
| | <tt> sLsssLsss sLsssLsss sLss </tt>
|-
| | <tt> Lsss LssssLsss LssssLsss </tt>
| |
| | <tt> LsssLssss LsssLssss Lsss </tt>
|-
| | <tt> sssL ssssLsssL ssssLsssL </tt>
| |
| | <tt> sssLssssL sssLssssL sssL </tt>
|-
| | <tt> ssLs sssLsssLs sssLsssLs </tt>
| |
| | <tt> ssLssssLs ssLssssLs ssLs </tt>
|-
| | <tt> sLss ssLsssLss ssLsssLss </tt>
| |
| | <tt> sLssssLss sLssssLss sLss </tt>
|-
| | <tt> Lsss sLsssLsss sLsssLsss </tt>
| |
| | <tt> LssssLsss LssssLsss Lsss </tt>
|}
 
[[File:22_05_17_LsssLssss_Lsss_LsssLssss.png|alt=22_05_17_LsssLssss_Lsss_LsssLssss.png|22_05_17_LsssLssss_Lsss_LsssLssss.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 17s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/5L%2017s"&gt;5L+17s&lt;/a&gt;&lt;br /&gt;
22 tones (9+4+9)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/superpyth"&gt;superpyth&lt;/a&gt;; imperfect; best at low L/s&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = -0.7399832473&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 5.9100586343 (4/3 = 2L+7.5s)&lt;br /&gt;
&lt;br /&gt;
L = 54.55 to 240.00 cents (152.35 cents @ Q)&lt;br /&gt;
s = 0.00 to 54.55 cents (25.78 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+3s (218.18 to 240.00 cents)&lt;br /&gt;
4/3 = 2L+7s (480.00 to 490.91 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 27, 32, 37, 49&lt;br /&gt;
&lt;br /&gt;
all modes:&lt;br /&gt;
 
 
&lt;table class="wiki_table"&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; ssssLsssL ssssLsssL sssL &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; sssLsssLs sssL sssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLsssLs sssLsssLs ssLs &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; ssLsssLss ssLs ssLsssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsssLss ssLsssLss sLss &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; sLsssLsss sLss sLsssLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLsss sLsssLsss Lsss &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; LsssLssss Lsss LsssLssss &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; sssLssssL sssL sssLssssL &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; ssLssssLs ssLs ssLssssLs &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; sLssssLss sLss sLssssLss &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; LssssLsss Lsss LssssLsss &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; ssssLsssL sssL ssssLsssL &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; sssL sssLsssLs sssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLsssLs ssLs sssLsssLs &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; ssLs ssLsssLss ssLsssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsssLss sLss ssLsssLss &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; sLss sLsssLsss sLsssLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLsss Lsss sLsssLsss &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; Lsss LsssLssss LsssLssss &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; sssL sssLssssL sssLssssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLsssLs sssLsssLs sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLs ssLssssLs ssLssssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsssLss ssLsssLss ssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLss sLssssLss sLssssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsssLsss sLsssLsss sLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lsss LssssLsss LssssLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsssLssss LsssLssss Lsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sssL ssssLsssL ssssLsssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sssLssssL sssLssssL sssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssLs sssLsssLs sssLsssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssssLs ssLssssLs ssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLss ssLsssLss ssLsssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssssLss sLssssLss sLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lsss sLsssLsss sLsssLsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssssLsss LssssLsss Lsss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:186:&amp;lt;img src=&amp;quot;/file/view/22_05_17_LsssLssss_Lsss_LsssLssss.png/590988848/22_05_17_LsssLssss_Lsss_LsssLssss.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/22_05_17_LsssLssss_Lsss_LsssLssss.png/590988848/22_05_17_LsssLssss_Lsss_LsssLssss.png" alt="22_05_17_LsssLssss_Lsss_LsssLssss.png" title="22_05_17_LsssLssss_Lsss_LsssLssss.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:186 --&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 MOS scale

5L+17s

22 tones (9+4+9)

superpyth; imperfect; best at low L/s

P = -0.7399832473

Q = 5.9100586343 (4/3 = 2L+7.5s)

L = 54.55 to 240.00 cents (152.35 cents @ Q)

s = 0.00 to 54.55 cents (25.78 cents @ Q)

9/8 = L+3s (218.18 to 240.00 cents)

4/3 = 2L+7s (480.00 to 490.91 cents)

generator = 4/3

notable EDOs: 27, 32, 37, 49

all modes:

ssssLsssL ssssLsssL sssL
sssLsssLs sssL sssLsssLs sssLsssLs sssLsssLs ssLs
ssLsssLss ssLs ssLsssLss ssLsssLss ssLsssLss sLss
sLsssLsss sLss sLsssLsss sLsssLsss sLsssLsss Lsss
LsssLssss Lsss LsssLssss
sssLssssL sssL sssLssssL
ssLssssLs ssLs ssLssssLs
sLssssLss sLss sLssssLss
LssssLsss Lsss LssssLsss
ssssLsssL sssL ssssLsssL
sssL sssLsssLs sssLsssLs sssLsssLs ssLs sssLsssLs
ssLs ssLsssLss ssLsssLss ssLsssLss sLss ssLsssLss
sLss sLsssLsss sLsssLsss sLsssLsss Lsss sLsssLsss
Lsss LsssLssss LsssLssss
sssL sssLssssL sssLssssL sssLsssLs sssLsssLs sssL
ssLs ssLssssLs ssLssssLs ssLsssLss ssLsssLss ssLs
sLss sLssssLss sLssssLss sLsssLsss sLsssLsss sLss
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22_05_17_LsssLssss_Lsss_LsssLssss.png

See also

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