OTC 10L 2s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
VisualWikitext
Wikispaces>spt3125
**Imported revision 590309064 - Original comment: **
 
Lériendil (talk | contribs)
8,044 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 21:26:50 UTC</tt>.<br>
[[10L_2s|10L+2s]]
: The original revision id was <tt>590309064</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
[[10L 2s|10L+2s]]
12 tones (5+2+5)
12 tones (5+2+5)


[[Pajara]] MODMOS.  Good for most any ratio of L to s.
[[pajara|Pajara]] MODMOS.  Good for most any ratio of L to s.


[[Gallery of omnitetrachordal scales#perfect|P]] = 1.1300083763
[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 1.1300083763


L = 100.00 to 120.00 cents (101.95 cents @ P)
L = 100.00 to 120.00 cents (101.95 cents @ P)
s = 0.00 to 100.00 cents (90.23 cents @ P)
s = 0.00 to 100.00 cents (90.23 cents @ P)


9/8 = 2L (200.00 to 240.00 cents)
9/8 = 2L (200.00 to 240.00 cents)
4/3 = 4L+s (480.00 to 500.00 cents)
4/3 = 4L+s (480.00 to 500.00 cents)
MOS generator = L (100.00 to 120.00 cents)
MOS generator = L (100.00 to 120.00 cents)
MOS [[periods and generators|period]] = 1/2 octave (600.00 cents)
 
MOS [[periods_and_generators|period]] = 1/2 octave (600.00 cents)


notable EDOs: 22, 32, 34, 46
notable EDOs: 22, 32, 34, 46


{{ LLLLLsLLLLLs }} (MOS)
<tt> LLLLLsLLLLLs </tt> (MOS)
{{      ||      }}
 
{{ LLLLLLsLLLLs }} (OTC MODMOS) - gc 7,5
<tt>      ||      </tt>
 
<tt> LLLLLLsLLLLs </tt> (OTC MODMOS) - gc 7,5


symmetric modes:
symmetric modes:
{{ LLLsLLLLsLLL }}
 
{{ LLsLLLLLLsLL }}
<tt> LLLsLLLLsLLL </tt>
 
<tt> LLsLLLLLLsLL </tt>


all modes:
all modes:
|| {{ LL LLLLs LLLLs }} || || ||
|| {{ LL LLLsL LLLsL }} || || ||
|| {{ LL LLsLL LLsLL }} || || {{ LLLLs LLLLs LL }} ||
|| {{ LL LsLLL LsLLL }} || || {{ LLLsL LLLsL LL }} ||
|| {{ LL sLLLL sLLLL }} || || {{ LLsLL LLsLL LL }} ||
|| || || {{ LsLLL LsLLL LL }} ||
|| || || {{ sLLLL sLLLL LL }} ||
|| || {{ LLLLs LL LLLLs }} || ||
|| || {{ LLLsL LL LLLsL }} || ||
|| || {{ LLsLL LL LLsLL }} || ||
|| || {{ LsLLL LL LsLLL }} || ||
|| || {{ sLLLL LL sLLLL }} || ||


[[image:12_10_02_LLsLL_LL_LLsLL.png]]
{| class="wikitable"
|-
| | <tt> LL LLLLs LLLLs </tt>
| |
| |
|-
| | <tt> LL LLLsL LLLsL </tt>
| |
| |
|-
| | <tt> LL LLsLL LLsLL </tt>
| |
| | <tt> LLLLs LLLLs LL </tt>
|-
| | <tt> LL LsLLL LsLLL </tt>
| |
| | <tt> LLLsL LLLsL LL </tt>
|-
| | <tt> LL sLLLL sLLLL </tt>
| |
| | <tt> LLsLL LLsLL LL </tt>
|-
| |
| |
| | <tt> LsLLL LsLLL LL </tt>
|-
| |
| |
| | <tt> sLLLL sLLLL LL </tt>
|-
| |
| | <tt> LLLLs LL LLLLs </tt>
| |
|-
| |
| | <tt> LLLsL LL LLLsL </tt>
| |
|-
| |
| | <tt> LLsLL LL LLsLL </tt>
| |
|-
| |
| | <tt> LsLLL LL LsLLL </tt>
| |
|-
| |
| | <tt> sLLLL LL sLLLL </tt>
| |
|}
 
[[File:12_10_02_LLsLL_LL_LLsLL.png|alt=12_10_02_LLsLL_LL_LLsLL.png|12_10_02_LLsLL_LL_LLsLL.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]]


===References===
===References===
* Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [[http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685|3685]] and [[http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987|10987]].
<ul><li>Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages [http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685 3685] and [http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987 10987].</li></ul>
</pre></div>
[[Category:12-tone scales]]
<h4>Original HTML content:</h4>
[[Category:Tempered scales]]
<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 10L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
&lt;a class="wiki_link" href="/10L%202s"&gt;10L+2s&lt;/a&gt;&lt;br /&gt;
[[Category:MODMOS]]
12 tones (5+2+5)&lt;br /&gt;
[[Category:Omnitetrachordal]]
&lt;br /&gt;
[[Category:Pajara]]
&lt;a class="wiki_link" href="/Pajara"&gt;Pajara&lt;/a&gt; MODMOS.  Good for most any ratio of L to s.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect"&gt;P&lt;/a&gt; = 1.1300083763&lt;br /&gt;
&lt;br /&gt;
L = 100.00 to 120.00 cents (101.95 cents @ P)&lt;br /&gt;
s = 0.00 to 100.00 cents (90.23 cents @ P)&lt;br /&gt;
&lt;br /&gt;
9/8 = 2L (200.00 to 240.00 cents)&lt;br /&gt;
4/3 = 4L+s (480.00 to 500.00 cents)&lt;br /&gt;
MOS generator = L (100.00 to 120.00 cents)&lt;br /&gt;
MOS &lt;a class="wiki_link" href="/periods%20and%20generators"&gt;period&lt;/a&gt; = 1/2 octave (600.00 cents)&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 22, 32, 34, 46&lt;br /&gt;
&lt;br /&gt;
&lt;tt&gt; LLLLLsLLLLLs &lt;/tt&gt; (MOS)&lt;br /&gt;
&lt;tt&gt;      ||      &lt;/tt&gt; &lt;br /&gt;
&lt;tt&gt; LLLLLLsLLLLs &lt;/tt&gt; (OTC MODMOS) - gc 7,5&lt;br /&gt;
&lt;br /&gt;
symmetric modes:&lt;br /&gt;
&lt;tt&gt; LLLsLLLLsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;tt&gt; LLsLLLLLLsLL &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; LL LLLLs LLLLs &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; LL LLLsL LLLsL &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; LL LLsLL LLsLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLLs LLLLs LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL LsLLL LsLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLLsL LLLsL LL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; LL sLLLL sLLLL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LLsLL LLsLL LL &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; LsLLL LsLLL LL &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; sLLLL sLLLL LL &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; LLLLs LL LLLLs &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; LLLsL LL LLLsL &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; LLsLL LL LLsLL &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; LsLLL LL LsLLL &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; sLLLL LL sLLLL &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:112:&amp;lt;img src=&amp;quot;/file/view/12_10_02_LLsLL_LL_LLsLL.png/589273834/12_10_02_LLsLL_LL_LLsLL.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/12_10_02_LLsLL_LL_LLsLL.png/589273834/12_10_02_LLsLL_LL_LLsLL.png" alt="12_10_02_LLsLL_LL_LLsLL.png" title="12_10_02_LLsLL_LL_LLsLL.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:112 --&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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;References&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s___4/msg_3675-3699.html#3685" rel="nofollow"&gt;3685&lt;/a&gt; and &lt;a class="wiki_link_ext" href="http://robertinventor.com/tuning-math/s__11/msg_10975-10999.html#10987" rel="nofollow"&gt;10987&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 03:05, 24 June 2025

Omnitetrachordal MODMOS scale

10L+2s

12 tones (5+2+5)

Pajara MODMOS. Good for most any ratio of L to s.

P = 1.1300083763

L = 100.00 to 120.00 cents (101.95 cents @ P)

s = 0.00 to 100.00 cents (90.23 cents @ P)

9/8 = 2L (200.00 to 240.00 cents)

4/3 = 4L+s (480.00 to 500.00 cents)

MOS generator = L (100.00 to 120.00 cents)

MOS period = 1/2 octave (600.00 cents)

notable EDOs: 22, 32, 34, 46

LLLLLsLLLLLs (MOS)

     ||     

LLLLLLsLLLLs (OTC MODMOS) - gc 7,5

symmetric modes:

LLLsLLLLsLLL

LLsLLLLLLsLL

all modes:

LL LLLLs LLLLs
LL LLLsL LLLsL
LL LLsLL LLsLL LLLLs LLLLs LL
LL LsLLL LsLLL LLLsL LLLsL LL
LL sLLLL sLLLL LLsLL LLsLL LL
LsLLL LsLLL LL
sLLLL sLLLL LL
LLLLs LL LLLLs
LLLsL LL LLLsL
LLsLL LL LLsLL
LsLLL LL LsLLL
sLLLL LL sLLLL

12_10_02_LLsLL_LL_LLsLL.png

See also

References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.
Retrieved from "https://en.xen.wiki/index.php?title=OTC_10L_2s&oldid=203162"