Xenharmonic Wiki

OTC 7L 12s: Difference between revisions

VisualWikitext
Wikispaces>spt3125
**Imported revision 590701194 - Original comment: **
 
Lériendil (talk | contribs)
8,046 edits
Tag: Manual revert
 
(5 intermediate revisions by 4 users not shown)
Line 1: Line 1:
<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 21:00:37 UTC</tt>.<br>
[[7L_12s|7L+12s]]
: The original revision id was <tt>590701194</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
[[7L 12s|7L+12s]]
19 tones (8+3+8)
19 tones (8+3+8)


[[Meantone family#Flattone|Flattone]] MOS; [[{$page}#perfect|P]]&lt;0 (oddly, neither this scale nor its [[{$page}#dual|dual]] can be tuned with a perfect 3/2!)
[[Meantone_family#Flattone|Flattone]] MOS; [[Gallery_of_omnitetrachordal_scales#perfect|P]]&lt;0 (oddly, neither this scale nor its [[OTC_7L_12s#dual|dual]] can be tuned with a perfect 3/2!)


P = -0.2063597584
P = -0.2063597584
[[Gallery of omnitetrachordal scales#Q|Q]] = 5.0713810872 (4/3 = 3L+4.5s)
 
[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 5.0713810872 (4/3 = 3L+4.5s)


L = 63.16 to 171.43 cents (128.12 cents @ Q)
L = 63.16 to 171.43 cents (128.12 cents @ Q)
s = 0.00 to 63.16 cents (25.26 cents @ Q)
s = 0.00 to 63.16 cents (25.26 cents @ Q)


9/8 = L+2s (171.43 to 189.47 cents)
9/8 = L+2s (171.43 to 189.47 cents)
4/3 = 3L+5s (505.26 to 514.29 cents)
4/3 = 3L+5s (505.26 to 514.29 cents)
generator = 4/3
generator = 4/3


notable EDOs: 26, 33, 40, 45
notable EDOs: 26, 33, 40, 45


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


all modes:
all modes:
|| {{ sLs sLsLssLs sLsLssLs }} || || {{ sLssLsLs sLssLsLs sLs }} ||
|| {{ Lss LsLssLss LsLssLss }} || || {{ LssLsLss LssLsLss Lss }} ||
|| {{ ssL sLssLssL sLssLssL }} || || {{ ssLsLssL ssLsLssL ssL }} ||
|| {{ sLs LssLssLs LssLssLs }} || || {{ sLsLssLs sLsLssLs sLs }} ||
|| || || {{ LsLssLss LsLssLss Lss }} ||
|| || {{ sLssLssL sLs sLssLssL }} || {{ sLssLssL sLssLssL ssL }} ||
|| || {{ LssLssLs Lss LssLssLs }} || {{ LssLssLs LssLssLs sLs }} ||
|| || {{ ssLssLsL ssL ssLssLsL }} || ||
|| || {{ sLssLsLs sLs sLssLsLs }} || ||
|| || {{ LssLsLss Lss LssLsLss }} || ||
|| || {{ ssLsLssL ssL ssLsLssL }} || ||
|| || {{ sLsLssLs sLs sLsLssLs }} || ||
|| || {{ LsLssLss Lss LsLssLss }} || ||
|| {{ sLs sLssLssL sLssLssL }} || {{ sLssLssL ssL sLssLssL }} || ||
|| {{ Lss LssLssLs LssLssLs }} || {{ LssLssLs sLs LssLssLs }} || ||
|| {{ ssL ssLssLsL ssLssLsL }} || || ||
|| {{ sLs sLssLsLs sLssLsLs }} || || {{ sLssLssL sLssLssL sLs }} ||
|| {{ Lss LssLsLss LssLsLss }} || || {{ LssLssLs LssLssLs Lss }} ||
|| {{ ssL ssLsLssL ssLsLssL }} || || {{ ssLssLsL ssLssLsL ssL }} ||


[[image:19_07_12_LssLsLss_Lss_LssLsLss.png]]
{| class="wikitable"
|-
| | <tt> sLs sLsLssLs sLsLssLs </tt>
| |
| | <tt> sLssLsLs sLssLsLs sLs </tt>
|-
| | <tt> Lss LsLssLss LsLssLss </tt>
| |
| | <tt> LssLsLss LssLsLss Lss </tt>
|-
| | <tt> ssL sLssLssL sLssLssL </tt>
| |
| | <tt> ssLsLssL ssLsLssL ssL </tt>
|-
| | <tt> sLs LssLssLs LssLssLs </tt>
| |
| | <tt> sLsLssLs sLsLssLs sLs </tt>
|-
| |
| |
| | <tt> LsLssLss LsLssLss Lss </tt>
|-
| |
| | <tt> sLssLssL sLs sLssLssL </tt>
| | <tt> sLssLssL sLssLssL ssL </tt>
|-
| |
| | <tt> LssLssLs Lss LssLssLs </tt>
| | <tt> LssLssLs LssLssLs sLs </tt>
|-
| |
| | <tt> ssLssLsL ssL ssLssLsL </tt>
| |
|-
| |
| | <tt> sLssLsLs sLs sLssLsLs </tt>
| |
|-
| |
| | <tt> LssLsLss Lss LssLsLss </tt>
| |
|-
| |
| | <tt> ssLsLssL ssL ssLsLssL </tt>
| |
|-
| |
| | <tt> sLsLssLs sLs sLsLssLs </tt>
| |
|-
| |
| | <tt> LsLssLss Lss LsLssLss </tt>
| |
|-
| | <tt> sLs sLssLssL sLssLssL </tt>
| | <tt> sLssLssL ssL sLssLssL </tt>
| |
|-
| | <tt> Lss LssLssLs LssLssLs </tt>
| | <tt> LssLssLs sLs LssLssLs </tt>
| |
|-
| | <tt> ssL ssLssLsL ssLssLsL </tt>
| |
| |
|-
| | <tt> sLs sLssLsLs sLssLsLs </tt>
| |
| | <tt> sLssLssL sLssLssL sLs </tt>
|-
| | <tt> Lss LssLsLss LssLsLss </tt>
| |
| | <tt> LssLssLs LssLssLs Lss </tt>
|-
| | <tt> ssL ssLsLssL ssLsLssL </tt>
| |
| | <tt> ssLssLsL ssLssLsL ssL </tt>
|}
 
[[File:19_07_12_LssLsLss_Lss_LssLsLss.png|alt=19_07_12_LssLsLss_Lss_LssLsLss.png|19_07_12_LssLsLss_Lss_LssLsLss.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:19-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 7L 12s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Omnitetrachordal MOS scale&lt;br /&gt;
[[Category:Pages with mostly numerical content]]
&lt;a class="wiki_link" href="/7L%2012s"&gt;7L+12s&lt;/a&gt;&lt;br /&gt;
[[Category:MODMOS]]
19 tones (8+3+8)&lt;br /&gt;
[[Category:Omnitetrachordal]]
&lt;br /&gt;
[[Category:Flattone]]
&lt;a class="wiki_link" href="/Meantone%20family#Flattone"&gt;Flattone&lt;/a&gt; MOS; &lt;!-- ws:start:WikiTextVariableComponentRule:01:[[{$page}#perfect|P]] --&gt;&lt;a class="wiki_link" href="/OTC%207L%2012s#perfect"&gt;P&lt;/a&gt;&lt;!-- ws:end:WikiTextVariableComponentRule:01 --&gt;&amp;lt;0 (oddly, neither this scale nor its &lt;!-- ws:start:WikiTextVariableComponentRule:03:[[{$page}#dual|dual]] --&gt;&lt;a class="wiki_link" href="/OTC%207L%2012s#dual"&gt;dual&lt;/a&gt;&lt;!-- ws:end:WikiTextVariableComponentRule:03 --&gt; can be tuned with a perfect 3/2!)&lt;br /&gt;
&lt;br /&gt;
P = -0.2063597584&lt;br /&gt;
&lt;a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q"&gt;Q&lt;/a&gt; = 5.0713810872 (4/3 = 3L+4.5s)&lt;br /&gt;
&lt;br /&gt;
L = 63.16 to 171.43 cents (128.12 cents @ Q)&lt;br /&gt;
s = 0.00 to 63.16 cents (25.26 cents @ Q)&lt;br /&gt;
&lt;br /&gt;
9/8 = L+2s (171.43 to 189.47 cents)&lt;br /&gt;
4/3 = 3L+5s (505.26 to 514.29 cents)&lt;br /&gt;
generator = 4/3&lt;br /&gt;
&lt;br /&gt;
notable EDOs: 26, 33, 40, 45&lt;br /&gt;
&lt;br /&gt;
symmetric mode: &lt;tt&gt; sLssLsLssLssLsLssLs &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; sLs sLsLssLs sLsLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLsLs sLssLsLs sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LsLssLss LsLssLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLsLss LssLsLss Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL sLssLssL sLssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLsLssL ssLsLssL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; sLs LssLssLs LssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLsLssLs sLsLssLs 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;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LsLssLss LsLssLss 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; sLssLssL sLs sLssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLssL sLssLssL 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; LssLssLs Lss LssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLssLs LssLssLs 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; ssLssLsL ssL ssLssLsL &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; sLssLsLs sLs sLssLsLs &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; LssLsLss Lss LssLsLss &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; ssLsLssL ssL ssLsLssL &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; sLsLssLs sLs sLsLssLs &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; LsLssLss Lss LsLssLss &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 sLssLssL sLssLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLssL ssL sLssLssL &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; Lss LssLssLs LssLssLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLssLs sLs LssLssLs &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 ssLssLsL ssLssLsL &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; sLs sLssLsLs sLssLsLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; sLssLssL sLssLssL sLs &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; Lss LssLsLss LssLsLss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; LssLssLs LssLssLs Lss &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;tt&gt; ssL ssLsLssL ssLsLssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;tt&gt; ssLssLsL ssLssLsL ssL &lt;/tt&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:172:&amp;lt;img src=&amp;quot;/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/19_07_12_LssLsLss_Lss_LssLsLss.png/589273882/19_07_12_LssLsLss_Lss_LssLsLss.png" alt="19_07_12_LssLsLss_Lss_LssLsLss.png" title="19_07_12_LssLsLss_Lss_LssLsLss.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:172 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&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:4 --&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:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--References"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&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_7L_12s"