OTC 5L 12s

From Xenharmonic Wiki
Revision as of 20:39, 31 August 2016 by Wikispaces>spt3125 (**Imported revision 590700176 - Original comment: **)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author spt3125 and made on 2016-08-31 20:39:04 UTC.
The original revision id was 590700176.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Omnitetrachordal MOS scale
[[5L 12s|5L+12s]]
17 tones (7+3+7)

[[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#Q|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 }} || ||

[[image:17_05_12_sssLssL_ssL_sssLssL.png]]

===See also===
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]

Original HTML content:

<html><head><title>OTC 5L 12s</title></head><body>Omnitetrachordal MOS scale<br />
<a class="wiki_link" href="/5L%2012s">5L+12s</a><br />
17 tones (7+3+7)<br />
<br />
<a class="wiki_link" href="/Superpyth">Superpyth</a> / ultrapyth MOS.  Imperfect, best at low L/s.  Many modes may be split two ways.<br />
<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#perfect">P</a> = 0.2600167527<br />
<a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales#Q">Q</a> = 6.9100586343 (4/3 = 2L+5.5s)<br />
<br />
L = 70.59 to 240.00 cents (178.13 cents @ Q)<br />
s = 0.00 to 70.59 cents (25.78 cents @ Q)<br />
<br />
9/8 = L+2s (211.76 to 240.00 cents)<br />
4/3 = 2L+5s (480.00 to 494.12 cents)<br />
generator = 4/3<br />
<br />
notable EDOs: 22, 27, 32, 37, 39<br />
<br />
symmetric mode: <tt> sLsssLssLssLsssLs </tt><br />
<br />
all modes:<br />


<table class="wiki_table">
    <tr>
        <td><tt> Lss LssLsss LssLsss </tt><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLsssL ssLsssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLssLs ssLssLs ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLsssLs sLsssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLssLss sLssLss sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss LsssLss LsssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LssLsss LssLsss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL sssLssL sssLssL </tt><br />
</td>
        <td><br />
</td>
        <td><tt> ssLsssL ssLsssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs ssLssLs ssLssLs </tt><br />
</td>
        <td><br />
</td>
        <td><tt> sLsssLs sLsssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><tt> Lss sLssLss sLssLss </tt><br />
</td>
        <td><br />
</td>
        <td><tt> LsssLss LsssLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><tt> sssLssL sssLssL ssL </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLssLs ssL ssLssLs </tt><br />
</td>
        <td><tt> ssLssLs ssLssLs sLs </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLssLss sLs sLssLss </tt><br />
</td>
        <td><tt> sLssLss sLssLss Lss </tt><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LssLsss Lss LssLsss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> ssLsssL ssL ssLsssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sLsssLs sLs sLsssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> LsssLss Lss LsssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><tt> sssLssL ssL sssLssL </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> ssL ssLssLs ssLssLs </tt><br />
</td>
        <td><tt> ssLssLs sLs ssLssLs </tt><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><tt> sLs sLssLss sLssLss </tt><br />
</td>
        <td><tt> sLssLss Lss sLssLss </tt><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextLocalImageRule:146:&lt;img src=&quot;/file/view/17_05_12_sssLssL_ssL_sssLssL.png/589273864/17_05_12_sssLssL_ssL_sssLssL.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><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" /><!-- ws:end:WikiTextLocalImageRule:146 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--See also"></a><!-- ws:end:WikiTextHeadingRule:0 -->See also</h3>
<ul><li><a class="wiki_link" href="/Omnitetrachordality">Omnitetrachordality</a></li><li><a class="wiki_link" href="/Gallery%20of%20omnitetrachordal%20scales">Gallery of omnitetrachordal scales</a></li></ul></body></html>