22edo modes

From Xenharmonic Wiki
Revision as of 11:09, 23 March 2011 by Wikispaces>hstraub (**Imported revision 213211760 - Original comment: **)
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 hstraub and made on 2011-03-23 11:09:24 UTC.
The original revision id was 213211760.
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:

Some modes available in [[22edo]]. Please add more, discovered or newly-composed! Note also that 22edo can play all [[11edo Modes]] as well....

[[toc|flat]]
----

=[[Regular Temperaments#orwell|Orwell]]= 
===9 notes, [[4L 5s|fair bug (4L+5s)]]=== 

|| 2 3 2 3 2 3 2 3 2 ||
|| 3 2 3 2 3 2 3 2 2 ||
|| 2 3 2 3 2 3 2 2 3 ||
|| 3 2 3 2 3 2 2 3 2 ||
|| 2 3 2 3 2 2 3 2 3 ||
|| 3 2 3 2 2 3 2 3 2 ||
|| 2 3 2 2 3 2 3 2 3 ||
|| 3 2 2 3 2 3 2 3 2 ||
|| 2 2 3 2 3 2 3 2 3 ||
=[[Regular Temperaments#porcupine|Porcupine]]= 
===7 notes, [[1L 6s|Happy heptatonic (1L+6s)]]=== 

|| 3 3 3 3 3 3 4 ||   ||
|| 3 3 3 3 3 4 3 ||   ||
|| 3 3 3 3 4 3 3 ||   ||
|| 3 3 3 4 3 3 3 || kind of minor, symmetric ("dorian") ||
|| 3 3 4 3 3 3 3 || kind of minor ||
|| 3 4 3 3 3 3 3 || kind of major ||
|| 4 3 3 3 3 3 3 || kind of major ||

===8 notes, [[7L 1s|Grumpy octatonic (7L+1s)]]=== 

|| 3 3 3 3 3 3 3 1 ||   ||
|| 3 3 3 3 3 3 1 3 ||   ||
|| 3 3 3 3 3 1 3 3 ||   ||
|| 3 3 3 3 1 3 3 3 || kind of minor ||
|| 3 3 3 1 3 3 3 3 || kind of minor ||
|| 3 3 1 3 3 3 3 3 || kind of minor ||
|| 3 1 3 3 3 3 3 3 || kind of major ||
|| 1 3 3 3 3 3 3 3 || kind of major ||

===15 notes=== 

|| 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 ||
|| 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 ||
|| 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 ||
|| 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 ||
|| 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 ||
|| 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 ||
|| 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 ||
|| 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 ||
|| 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 ||
|| 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 ||
|| 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 ||
|| 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 ||
|| 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 ||
|| 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 ||
|| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 ||

=Superpyth= 
===7 notes, [[5L 2s|diatonic (5L+2s)]]=== 

|| 4 4 1 4 4 4 1 || Major (Ionian) ||
|| 4 1 4 4 4 1 4 || Dorian ||
|| 1 4 4 4 1 4 4 || Phrygian ||
|| 4 4 4 1 4 4 1 || Lydian ||
|| 4 4 1 4 4 1 4 || Mixolydian ||
|| 4 1 4 4 1 4 4 || Minor (Aolian) ||
|| 1 4 4 1 4 4 4 || Locrian ||

=[[Regular Temperaments#pajara|Pajara]]= 
===10 notes, [[2L 8s|Rice decatonic (2L+8s)]]=== 

(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)

|| 2 2 3 2 2 2 3 2 2 2 || Standard Pentachordal Major ||
|| 2 2 3 2 2 2 2 3 2 2 || Static Symmetrical Major ||
|| 2 3 2 2 2 2 2 3 2 2 || Alternate Pentachordal Major ||
|| 2 3 2 2 2 2 3 2 2 2 || Dynamic Symmetrical Major ||
|| 2 2 2 3 2 2 2 2 2 3 || Standard Pentachordal Minor ||
|| 2 2 2 3 2 2 2 2 3 2 || Static Symmetrical Minor ||
|| 2 2 2 2 3 2 2 2 3 2 || Alternate Pentachordal Minor ||
|| 2 2 2 2 3 2 2 2 2 3 || Dynamic Symmetrical Minor ||

Original HTML content:

<html><head><title>22edo Modes</title></head><body>Some modes available in <a class="wiki_link" href="/22edo">22edo</a>. Please add more, discovered or newly-composed! Note also that 22edo can play all <a class="wiki_link" href="/11edo%20Modes">11edo Modes</a> as well....<br />
<br />
<!-- ws:start:WikiTextTocRule:20:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Porcupine">Porcupine</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Superpyth">Superpyth</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --> | <a href="#Pajara">Pajara</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: -->
<!-- ws:end:WikiTextTocRule:31 --><hr />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:0 --><a class="wiki_link" href="/Regular%20Temperaments#orwell">Orwell</a></h1>
 <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="Orwell--9 notes, fair bug (4L+5s)"></a><!-- ws:end:WikiTextHeadingRule:2 -->9 notes, <a class="wiki_link" href="/4L%205s">fair bug (4L+5s)</a></h3>
 <br />


<table class="wiki_table">
    <tr>
        <td>2 3 2 3 2 3 2 3 2<br />
</td>
    </tr>
    <tr>
        <td>3 2 3 2 3 2 3 2 2<br />
</td>
    </tr>
    <tr>
        <td>2 3 2 3 2 3 2 2 3<br />
</td>
    </tr>
    <tr>
        <td>3 2 3 2 3 2 2 3 2<br />
</td>
    </tr>
    <tr>
        <td>2 3 2 3 2 2 3 2 3<br />
</td>
    </tr>
    <tr>
        <td>3 2 3 2 2 3 2 3 2<br />
</td>
    </tr>
    <tr>
        <td>2 3 2 2 3 2 3 2 3<br />
</td>
    </tr>
    <tr>
        <td>3 2 2 3 2 3 2 3 2<br />
</td>
    </tr>
    <tr>
        <td>2 2 3 2 3 2 3 2 3<br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Porcupine"></a><!-- ws:end:WikiTextHeadingRule:4 --><a class="wiki_link" href="/Regular%20Temperaments#porcupine">Porcupine</a></h1>
 <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Porcupine--7 notes, Happy heptatonic (1L+6s)"></a><!-- ws:end:WikiTextHeadingRule:6 -->7 notes, <a class="wiki_link" href="/1L%206s">Happy heptatonic (1L+6s)</a></h3>
 <br />


<table class="wiki_table">
    <tr>
        <td>3 3 3 3 3 3 4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3 3 3 3 3 4 3<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3 3 3 3 4 3 3<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3 3 3 4 3 3 3<br />
</td>
        <td>kind of minor, symmetric (&quot;dorian&quot;)<br />
</td>
    </tr>
    <tr>
        <td>3 3 4 3 3 3 3<br />
</td>
        <td>kind of minor<br />
</td>
    </tr>
    <tr>
        <td>3 4 3 3 3 3 3<br />
</td>
        <td>kind of major<br />
</td>
    </tr>
    <tr>
        <td>4 3 3 3 3 3 3<br />
</td>
        <td>kind of major<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="Porcupine--8 notes, Grumpy octatonic (7L+1s)"></a><!-- ws:end:WikiTextHeadingRule:8 -->8 notes, <a class="wiki_link" href="/7L%201s">Grumpy octatonic (7L+1s)</a></h3>
 <br />


<table class="wiki_table">
    <tr>
        <td>3 3 3 3 3 3 3 1<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3 3 3 3 3 3 1 3<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3 3 3 3 3 1 3 3<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3 3 3 3 1 3 3 3<br />
</td>
        <td>kind of minor<br />
</td>
    </tr>
    <tr>
        <td>3 3 3 1 3 3 3 3<br />
</td>
        <td>kind of minor<br />
</td>
    </tr>
    <tr>
        <td>3 3 1 3 3 3 3 3<br />
</td>
        <td>kind of minor<br />
</td>
    </tr>
    <tr>
        <td>3 1 3 3 3 3 3 3<br />
</td>
        <td>kind of major<br />
</td>
    </tr>
    <tr>
        <td>1 3 3 3 3 3 3 3<br />
</td>
        <td>kind of major<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Porcupine--15 notes"></a><!-- ws:end:WikiTextHeadingRule:10 -->15 notes</h3>
 <br />


<table class="wiki_table">
    <tr>
        <td>1 2 1 2 1 2 1 2 1 2 1 2 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 1 2 1 2 1 2 1 2 1 2 1 1<br />
</td>
    </tr>
    <tr>
        <td>1 2 1 2 1 2 1 2 1 2 1 2 1 1 2<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 1 2 1 2 1 2 1 2 1 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>1 2 1 2 1 2 1 2 1 2 1 1 2 1 2<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 1 2 1 2 1 2 1 1 2 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>1 2 1 2 1 2 1 2 1 1 2 1 2 1 2<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 1 2 1 2 1 1 2 1 2 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>1 2 1 2 1 2 1 1 2 1 2 1 2 1 2<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 1 2 1 1 2 1 2 1 2 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>1 2 1 2 1 1 2 1 2 1 2 1 2 1 2<br />
</td>
    </tr>
    <tr>
        <td>2 1 2 1 1 2 1 2 1 2 1 2 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>1 2 1 1 2 1 2 1 2 1 2 1 2 1 2<br />
</td>
    </tr>
    <tr>
        <td>2 1 1 2 1 2 1 2 1 2 1 2 1 2 1<br />
</td>
    </tr>
    <tr>
        <td>1 1 2 1 2 1 2 1 2 1 2 1 2 1 2<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Superpyth"></a><!-- ws:end:WikiTextHeadingRule:12 -->Superpyth</h1>
 <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Superpyth--7 notes, diatonic (5L+2s)"></a><!-- ws:end:WikiTextHeadingRule:14 -->7 notes, <a class="wiki_link" href="/5L%202s">diatonic (5L+2s)</a></h3>
 <br />


<table class="wiki_table">
    <tr>
        <td>4 4 1 4 4 4 1<br />
</td>
        <td>Major (Ionian)<br />
</td>
    </tr>
    <tr>
        <td>4 1 4 4 4 1 4<br />
</td>
        <td>Dorian<br />
</td>
    </tr>
    <tr>
        <td>1 4 4 4 1 4 4<br />
</td>
        <td>Phrygian<br />
</td>
    </tr>
    <tr>
        <td>4 4 4 1 4 4 1<br />
</td>
        <td>Lydian<br />
</td>
    </tr>
    <tr>
        <td>4 4 1 4 4 1 4<br />
</td>
        <td>Mixolydian<br />
</td>
    </tr>
    <tr>
        <td>4 1 4 4 1 4 4<br />
</td>
        <td>Minor (Aolian)<br />
</td>
    </tr>
    <tr>
        <td>1 4 4 1 4 4 4<br />
</td>
        <td>Locrian<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Pajara"></a><!-- ws:end:WikiTextHeadingRule:16 --><a class="wiki_link" href="/Regular%20Temperaments#pajara">Pajara</a></h1>
 <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Pajara--10 notes, Rice decatonic (2L+8s)"></a><!-- ws:end:WikiTextHeadingRule:18 -->10 notes, <a class="wiki_link" href="/2L%208s">Rice decatonic (2L+8s)</a></h3>
 <br />
(The names of the modes are Paul Erlich's - see <!-- ws:start:WikiTextUrlRule:430:http://lumma.org/tuning/erlich/erlich-decatonic.pdf --><a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/erlich-decatonic.pdf" rel="nofollow">http://lumma.org/tuning/erlich/erlich-decatonic.pdf</a><!-- ws:end:WikiTextUrlRule:430 -->.)<br />
<br />


<table class="wiki_table">
    <tr>
        <td>2 2 3 2 2 2 3 2 2 2<br />
</td>
        <td>Standard Pentachordal Major<br />
</td>
    </tr>
    <tr>
        <td>2 2 3 2 2 2 2 3 2 2<br />
</td>
        <td>Static Symmetrical Major<br />
</td>
    </tr>
    <tr>
        <td>2 3 2 2 2 2 2 3 2 2<br />
</td>
        <td>Alternate Pentachordal Major<br />
</td>
    </tr>
    <tr>
        <td>2 3 2 2 2 2 3 2 2 2<br />
</td>
        <td>Dynamic Symmetrical Major<br />
</td>
    </tr>
    <tr>
        <td>2 2 2 3 2 2 2 2 2 3<br />
</td>
        <td>Standard Pentachordal Minor<br />
</td>
    </tr>
    <tr>
        <td>2 2 2 3 2 2 2 2 3 2<br />
</td>
        <td>Static Symmetrical Minor<br />
</td>
    </tr>
    <tr>
        <td>2 2 2 2 3 2 2 2 3 2<br />
</td>
        <td>Alternate Pentachordal Minor<br />
</td>
    </tr>
    <tr>
        <td>2 2 2 2 3 2 2 2 2 3<br />
</td>
        <td>Dynamic Symmetrical Minor<br />
</td>
    </tr>
</table>

</body></html>