OTC 5L 12s: Difference between revisions

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**Imported revision 590700176 - Original comment: **
 
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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]]
[[Category:17-tone scales]]
</pre></div>
[[Category:Tempered scales]]
<h4>Original HTML content:</h4>
[[Category:Pages with mostly numerical content]]
<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;
[[Category:MODMOS]]
&lt;a class="wiki_link" href="/5L%2012s"&gt;5L+12s&lt;/a&gt;&lt;br /&gt;
[[Category:Omnitetrachordal]]
17 tones (7+3+7)&lt;br /&gt;
[[Category:Superpyth]]
&lt;br /&gt;
[[Category:Ultrapyth]]
&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>

Latest revision as of 03:12, 24 June 2025

Omnitetrachordal MOS scale

5L+12s

17 tones (7+3+7)

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

P = 0.2600167527

Q = 6.9100586343 (4/3 = 2L+5.5s)

L = 70.59 to 240.00 cents (178.13 cents @ Q)

s = 0.00 to 70.59 cents (25.78 cents @ Q)

9/8 = L+2s (211.76 to 240.00 cents)

4/3 = 2L+5s (480.00 to 494.12 cents)

generator = 4/3

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

symmetric mode: sLsssLssLssLsssLs

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

17_05_12_sssLssL_ssL_sssLssL.png

See also

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