Xenharmonic Wiki

OTC 10L 2s: Difference between revisions

Newer edit →
VisualWikitext
Wikispaces>spt3125
**Imported revision 590309064 - Original comment: **
 
Wikispaces>FREEZE
No edit summary
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>
<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 10L 2s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MODMOS scale&lt;br /&gt;
&lt;a class="wiki_link" href="/10L%202s"&gt;10L+2s&lt;/a&gt;&lt;br /&gt;
12 tones (5+2+5)&lt;br /&gt;
&lt;br /&gt;
&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>
Retrieved from "https://en.xen.wiki/w/OTC_10L_2s"