22edo modes: Difference between revisions

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**Imported revision 84169509 - Original comment: Pajara**
no clue why the old mos names are still here, fixed them
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Some modes available in [[22edo]]. Please add more, discovered or newly-composed! Note also that 22edo can play all [[11edo Modes|11edo modes]] as well.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2009-08-13 10:50:57 UTC</tt>.<br>
: The original revision id was <tt>84169509</tt>.<br>
: The revision comment was: <tt>Pajara</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">[[toc]]


Some modes available in [[22edo]]. Please add more, discovered or newly-composed! Note also that 22edo can play all [[11edo Modes]] as well....
== [[Orwell]] ==
=== 5 notes MOS, [[4L 1s|4L&nbsp;1s (Manual)]] ===
{| class="wikitable"
|-
| 2
| 5
| 5a
| 5
| 5
|-
| 5
| 2
| 5
| 5
| 5
|-
| 5
| 5
| 2
| 5
| 5
|-
| 5
| 5
| 5
| 2
| 5
|-
| 5
| 5
| 5
| 5
| 2
|}


==[[Regular Temperaments#orwell|Orwell]]==
=== 9 notes MOS, [[4L 5s|4L&nbsp;5s (Gramitonic)]] ===
===9 notes, [[MOSNamingScheme|fair bug]] (4L+5s)===  


|| 2 3 2 3 2 3 2 3 2 ||
{| class="wikitable"
|| 3 2 3 2 3 2 3 2 2 ||
|-
|| 2 3 2 3 2 3 2 2 3 ||
| 2 3 2 3 2 3 2 3 2
|| 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 ||
| 3 2 3 2 3 2 3 2 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 ||
| 2 3 2 3 2 3 2 2 3
==[[Regular Temperaments#porcupine|Porcupine]]==
|  
===8 notes, [[MOSNamingScheme|Grumpy octatonic]] (7L+1s)===
|-
| 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
|  
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
| [[file:OrwellNonatonic22edo.mp3]]
|}


|| 3 3 3 3 3 3 3 1 ||
=== 13 notes MOS, [[9L&nbsp;4s]] ===
|| 3 3 3 3 3 3 1 3 ||
{| class="wikitable"
|| 3 3 3 3 3 1 3 3 ||
|-
|| 3 3 3 3 1 3 3 3 ||
| 1
|| 3 3 3 1 3 3 3 3 ||
| 2
|| 3 3 1 3 3 3 3 3 ||
| 2
|| 3 1 3 3 3 3 3 3 ||
| 1
|| 1 3 3 3 3 3 3 3 ||
| 2
===15 notes===  
| 2
| 1
| 2
| 2
| 1
| 2
| 2
| 2
|-
| 2
| 2
| 1
| 2
| 2
| 1
| 2
| 2
| 1
| 2
| 2
| 2
| 1
|-
| 2
| 1
| 2
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| 1
| 2
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| 1
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| 2
| 1
| 2
|-
| 1
| 2
| 2
| 1
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| 1
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| 1
| 2
| 2
|-
| 2
| 2
| 1
| 2
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| 1
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| 2
| 2
| 1
| 2
| 2
| 1
|-
| 2
| 1
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| 1
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| 1
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| 1
| 2
|-
| 1
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| 2
| 1
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| 1
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| 1
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| 2
|-
| 2
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| 1
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| 1
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| 1
|-
| 2
| 1
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| 2
| 1
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| 1
| 2
| 2
| 1
| 2
|-
| 1
| 2
| 2
| 2
| 1
| 2
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| 1
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| 1
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|-
| 2
| 2
| 2
| 1
| 2
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| 1
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| 1
|-
| 2
| 2
| 1
| 2
| 2
| 1
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| 2
| 1
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| 1
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|-
| 2
| 1
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| 2
| 1
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| 2
| 1
| 2
| 2
| 1
| 2
| 2
|}
== [[Porcupine]] ==
See also [[Porcupine Temperament Modal Harmony]] for many more MODMOS modes.


|| 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 ||
=== 7 notes MOS, [[1L 6s|1L&nbsp;6s (Onyx)]] ===
|| 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 ||
{| class="wikitable"
|| 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 ||
| 3 3 3 3 3 3 4
|| 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 ||
| Magical seventh mode
|| 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 ||
| 3 3 3 3 3 4 3
|| 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 ||
| Diminished
|| 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 ||
| 3 3 3 3 4 3 3
|| 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 ||
| Diminished
|| 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 ||
|-
| 3 3 3 4 3 3 3
| symmetric minor ("dorian")
| <nowiki />*
|-
| 3 3 4 3 3 3 3
| bright minor
|  
|-
| 3 4 3 3 3 3 3
| dark major
|  
|-
| 4 3 3 3 3 3 3
| bright otonal major
| <nowiki />**
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
| [[File:porcupinesymmetricminor22edo.mp3]]
|}
<nowiki />** Audio example:
{| class="wikitable"
|-
| [[File:porcupineotonalmajor22edo.mp3]]
|}


==Superpyth==  
==== MODMOS of 7 notes MOS ====
===7 notes, [[MOSNamingScheme|diatonic]] (5L+2s)===
* Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7: 4 3 3 3 3 2 4
* Porcupine bright major #6 #7 (Porcupine melodic major) - Porcupine[7] 6|0 #6 #7: 4 3 3 3 4 3 2
* Porcupine bright major #7 (Porcupine harmonic major) - Porcupine[7] 6|0 #7: 4 3 3 3 3 4 2
* Porcupine bright minor #2 (Porcupine harmonic minor) - Porcupine[7] 4|2 #2: 4 2 4 3 3 3 3 (mode of bright major #7)
* Porcupine dark minor #2 (Porcupine melodic minor) - Porcupine[7] 3|3 #2: 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
* "JI" major, [[Zarlino]]/Ptolemy diatonic, Ma grama - Porcupine[7] 6|0 b4 #7: 4 3 2 4 3 4 2
* "JI" minor, inverse of [[Zarlino]]/Ptolemy diatonic - Porcupine[7] 3|3 #2 b6: 4 2 3 4 2 4 3


|| 4 4 1 4 4 4 1 || Major (Ionian) ||
=== 8 notes MOS, [[7L 1s|7L&nbsp;1s (Pine)]] ===
|| 4 1 4 4 4 1 4 || Dorian ||
{| class="wikitable"
|| 1 4 4 4 1 4 4 || Phrygian ||
|-
|| 4 4 4 1 4 4 1 || Lydian ||
| 3 3 3 3 3 3 3 1
|| 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 ||
| 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
| both minor and major
|-
| 3 1 3 3 3 3 3 3
| kind of major
|-
| 1 3 3 3 3 3 3 3
| kind of major
|}


==[[Regular Temperaments#pajara|Pajara]]==
==== MODMOS of 8 notes MOS ====
(See also http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)
* [[The Pinetone System#Pinetone harmonic diminished octatonic|Pinetone harmonic diminished]], Porcupine[8] 2|5 #5: 3 3 1 5 1 3 3 3


===10 notes, [[MOSNamingScheme|Rice decatonic]] (2L+8s)===  
=== 15 notes MOS, [[7L&nbsp;8s]] ===
{| class="wikitable"
|-
| 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
|}


|| 2 2 3 2 2 2 3 2 2 2 || Standard Pentachordal Major ||
== [[Porcupine family#Hedgehog|Hedgehog]] ==
|| 2 2 3 2 2 2 2 3 2 2 || Static Symmetrical Major ||
=== 6 notes MOS, [[2L 4s|2L&nbsp;4s (Malic)]] ===
|| 2 3 2 2 2 2 2 3 2 2 || Alternate Pentachordal Major ||
{| class="wikitable"
(more...)</pre></div>
|-
<h4>Original HTML content:</h4>
| 3
<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;22edo Modes&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:18:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Orwell"&gt;Orwell&lt;/a&gt;&lt;/div&gt;
| 5
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-Orwell-9 notes, fair bug (4L+5s)"&gt;9 notes, fair bug (4L+5s)&lt;/a&gt;&lt;/div&gt;
| 3
&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Porcupine"&gt;Porcupine&lt;/a&gt;&lt;/div&gt;
| 3
&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-Porcupine-8 notes, Grumpy octatonic (7L+1s)"&gt;8 notes, Grumpy octatonic (7L+1s)&lt;/a&gt;&lt;/div&gt;
| 5
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-Porcupine-15 notes"&gt;15 notes&lt;/a&gt;&lt;/div&gt;
| 3
&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Superpyth"&gt;Superpyth&lt;/a&gt;&lt;/div&gt;
|-
&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-Superpyth-7 notes, diatonic (5L+2s)"&gt;7 notes, diatonic (5L+2s)&lt;/a&gt;&lt;/div&gt;
| 3
&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#x-Pajara"&gt;Pajara&lt;/a&gt;&lt;/div&gt;
| 3
&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#x-Pajara-10 notes, Rice decatonic (2L+8s)"&gt;10 notes, Rice decatonic (2L+8s)&lt;/a&gt;&lt;/div&gt;
| 5
&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;/div&gt;
| 3
&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;br /&gt;
| 3
Some modes available in &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;. Please add more, discovered or newly-composed! Note also that 22edo can play all &lt;a class="wiki_link" href="/11edo%20Modes"&gt;11edo Modes&lt;/a&gt; as well....&lt;br /&gt;
| 5
&lt;br /&gt;
|-
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments#orwell"&gt;Orwell&lt;/a&gt;&lt;/h2&gt;
| 5
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Orwell-9 notes, fair bug (4L+5s)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;9 notes, &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;fair bug&lt;/a&gt; (4L+5s)&lt;/h3&gt;
| 3
&lt;br /&gt;
| 3
| 5
| 3
| 3
|}


=== 8 notes MOS, [[6L 2s|6L&nbsp;2s (Ekic)]] ===
{| class="wikitable"
|-
| 3 3 3 2 3 3 3 2
|-
| 3 3 2 3 3 3 2 3
|-
| 3 2 3 3 3 2 3 3
|-
| 2 3 3 3 2 3 3 3
|}


&lt;table class="wiki_table"&gt;
=== 14 notes MOS, 8L&nbsp;6s ===
    &lt;tr&gt;
{| class="wikitable"
        &lt;td&gt;2 3 2 3 2 3 2 3 2&lt;br /&gt;
|-
&lt;/td&gt;
| 2 1 2 1 2 1 2 2 1 2 1 2 1 2
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 1 2 1 2 1 2 2 1 2 1 2 1 2 2
        &lt;td&gt;3 2 3 2 3 2 3 2 2&lt;br /&gt;
|-
&lt;/td&gt;
| 2 1 2 1 2 2 1 2 1 2 1 2 2 1
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 1 2 1 2 2 1 2 1 2 1 2 2 1 2
        &lt;td&gt;2 3 2 3 2 3 2 2 3&lt;br /&gt;
|-
&lt;/td&gt;
| 2 1 2 2 1 2 1 2 1 2 2 1 2 1
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 1 2 2 1 2 1 2 1 2 2 1 2 1 2
        &lt;td&gt;3 2 3 2 3 2 2 3 2&lt;br /&gt;
|-
&lt;/td&gt;
| 2 2 1 2 1 2 1 2 2 1 2 1 2 1
    &lt;/tr&gt;
|}
    &lt;tr&gt;
        &lt;td&gt;2 3 2 3 2 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 2 3 2 2 3 2 3 2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 3 2 2 3 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 2 2 3 2 3 2 3 2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2 2 3 2 3 2 3 2 3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Porcupine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments#porcupine"&gt;Porcupine&lt;/a&gt;&lt;/h2&gt;
== [[Superpyth]] ==
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Porcupine-8 notes, Grumpy octatonic (7L+1s)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;8 notes, &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;Grumpy octatonic&lt;/a&gt; (7L+1s)&lt;/h3&gt;
=== 5 notes MOS, [[2L 3s|2L&nbsp;3s (Pentic)]] ===
&lt;br /&gt;
{| class="wikitable"
|-
| 4
| 5
| 4
| 5
| 4
|-
| 4
| 4
| 5
| 4
| 5
|-
| 5
| 4
| 4
| 5
| 4
|-
| 4
| 5
| 4
| 4
| 5
|-
| 5
| 4
| 5
| 4
| 4
|}


=== 7 notes MOS, [[5L 2s|5L&nbsp;2s (Diatonic)]]===


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;3 3 3 3 3 3 3 1&lt;br /&gt;
| 4 4 1 4 4 4 1
&lt;/td&gt;
| Major (Ionian)
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 4 1 4 4 4 1 4
        &lt;td&gt;3 3 3 3 3 3 1 3&lt;br /&gt;
| Dorian
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 1 4 4 4 1 4 4
    &lt;tr&gt;
| Phrygian
        &lt;td&gt;3 3 3 3 3 1 3 3&lt;br /&gt;
|-
&lt;/td&gt;
| 4 4 4 1 4 4 1
    &lt;/tr&gt;
| Lydian
    &lt;tr&gt;
|-
        &lt;td&gt;3 3 3 3 1 3 3 3&lt;br /&gt;
| 4 4 1 4 4 1 4
&lt;/td&gt;
| Mixolydian
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 4 1 4 4 1 4 4
        &lt;td&gt;3 3 3 1 3 3 3 3&lt;br /&gt;
| Minor (Aeolian)
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 1 4 4 1 4 4 4
    &lt;tr&gt;
| Locrian
        &lt;td&gt;3 3 1 3 3 3 3 3&lt;br /&gt;
|}
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3 1 3 3 3 3 3 3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 3 3 3 3 3 3 3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Porcupine-15 notes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;15 notes&lt;/h3&gt;
==== MODMOS of 7 notes MOS ====
&lt;br /&gt;
* Superpyth melodic minor – Superpyth[7] 5|1 b3 – 4 1 4 4 4 4 1
* Superpyth harmonic minor – Superpyth[7] 2|4 #7 – 4 1 4 4 1 7 1
* Superpyth harmonic major – Superpyth[7] 5|1 b6 – 4 4 1 4 1 7 1 (inverse of harmonic minor)
* Superpyth double harmonic major – Superpyth[7] 5|1 b2 b6 – 1 7 1 4 1 7 1


==== Subsets of 7 notes MOS ====
* Manohari – 5 4 4 4 1 4
* Shailaja – 5 8 1 4 4
* Subminor hexatonic – 4 1 4 4 5 4


&lt;table class="wiki_table"&gt;
=== 12 notes MOS, [[5L 7s|5L&nbsp;7s (P-Chromatic)]]===
    &lt;tr&gt;
{| class="wikitable"
        &lt;td&gt;1 2 1 2 1 2 1 2 1 2 1 2 1 2 1&lt;br /&gt;
|-
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 1
        &lt;td&gt;2 1 2 1 2 1 2 1 2 1 2 1 2 1 1&lt;br /&gt;
| 3
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 1
        &lt;td&gt;1 2 1 2 1 2 1 2 1 2 1 2 1 1 2&lt;br /&gt;
| 1
&lt;/td&gt;
| 3
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
| 3
        &lt;td&gt;2 1 2 1 2 1 2 1 2 1 2 1 1 2 1&lt;br /&gt;
| 1
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
| 1
        &lt;td&gt;1 2 1 2 1 2 1 2 1 2 1 1 2 1 2&lt;br /&gt;
| 3
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 1
        &lt;td&gt;2 1 2 1 2 1 2 1 2 1 1 2 1 2 1&lt;br /&gt;
| 3
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
| 3
        &lt;td&gt;1 2 1 2 1 2 1 2 1 1 2 1 2 1 2&lt;br /&gt;
| 1
&lt;/td&gt;
| 3
    &lt;/tr&gt;
|-
    &lt;tr&gt;
| 3
        &lt;td&gt;2 1 2 1 2 1 2 1 1 2 1 2 1 2 1&lt;br /&gt;
| 1
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 1
        &lt;td&gt;1 2 1 2 1 2 1 1 2 1 2 1 2 1 2&lt;br /&gt;
| 3
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 1
        &lt;td&gt;2 1 2 1 2 1 1 2 1 2 1 2 1 2 1&lt;br /&gt;
| 1
&lt;/td&gt;
| 3
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
|-
        &lt;td&gt;1 2 1 2 1 1 2 1 2 1 2 1 2 1 2&lt;br /&gt;
| 1
&lt;/td&gt;
| 3
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
| 1
        &lt;td&gt;2 1 2 1 1 2 1 2 1 2 1 2 1 2 1&lt;br /&gt;
| 3
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
    &lt;tr&gt;
| 1
        &lt;td&gt;1 2 1 1 2 1 2 1 2 1 2 1 2 1 2&lt;br /&gt;
| 3
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
| 3
        &lt;td&gt;2 1 1 2 1 2 1 2 1 2 1 2 1 2 1&lt;br /&gt;
|-
&lt;/td&gt;
| 3
    &lt;/tr&gt;
| 1
    &lt;tr&gt;
| 3
        &lt;td&gt;1 1 2 1 2 1 2 1 2 1 2 1 2 1 2&lt;br /&gt;
| 1
&lt;/td&gt;
| 1
    &lt;/tr&gt;
| 3
&lt;/table&gt;
| 1
| 3
| 1
| 3
| 1
| 1
|-
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 3
| 1
|-
| 1
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 3
|-
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
|-
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
|-
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
|-
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 1
| 3
|-
| 3
| 1
| 3
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
| 1
|}
[http://micro.soonlabel.com/22-ET/superpyth_comparison/22_SP_scala_files.zip Scala files for all 12 modes]


&lt;br /&gt;
[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Superpyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Superpyth&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-Superpyth-7 notes, diatonic (5L+2s)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;7 notes, &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;diatonic&lt;/a&gt; (5L+2s)&lt;/h3&gt;
&lt;br /&gt;


=== 17 notes MOS ===
{| class="wikitable"
|-
| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
|}


&lt;table class="wiki_table"&gt;
==== Subsets of 17 notes MOS ====
    &lt;tr&gt;
* Subminor Blues – 5 4 2 2 5 4
        &lt;td&gt;4 4 1 4 4 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Major (Ionian)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 1 4 4 4 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Dorian&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 4 4 4 1 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Phrygian&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 4 4 1 4 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Lydian&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 4 1 4 4 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Mixolydian&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4 1 4 4 1 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Minor (Aolian)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1 4 4 1 4 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Locrian&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
== [[Pajara]]/[[Srutal]]/[[Pajarous]] ==
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Pajara"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments#pajara"&gt;Pajara&lt;/a&gt;&lt;/h2&gt;
=== 10 notes ===
(See also &lt;!-- ws:start:WikiTextUrlRule:300:http://lumma.org/tuning/erlich/erlich-decatonic.pdf --&gt;&lt;a class="wiki_link_ext" href="http://lumma.org/tuning/erlich/erlich-decatonic.pdf" rel="nofollow"&gt;http://lumma.org/tuning/erlich/erlich-decatonic.pdf&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:300 --&gt;.)&lt;br /&gt;
"Symmetrical" modes are MOS, [[2L 8s|2L&nbsp;8s (Jaric)]]; "Pentachordal" modes are not MOS.
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Pajara-10 notes, Rice decatonic (2L+8s)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;10 notes, &lt;a class="wiki_link" href="/MOSNamingScheme"&gt;Rice decatonic&lt;/a&gt; (2L+8s)&lt;/h3&gt;
&lt;br /&gt;


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


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;td&gt;2 2 3 2 2 2 3 2 2 2&lt;br /&gt;
| 2 2 3 2 2 2 3 2 2 2
&lt;/td&gt;
| Standard Pentachordal Major
        &lt;td&gt;Standard Pentachordal Major&lt;br /&gt;
| *
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 2 2 3 2 2 2 2 3 2 2
    &lt;tr&gt;
| Static Symmetrical Major
        &lt;td&gt;2 2 3 2 2 2 2 3 2 2&lt;br /&gt;
|
&lt;/td&gt;
|-
        &lt;td&gt;Static Symmetrical Major&lt;br /&gt;
| 2 3 2 2 2 2 2 3 2 2
&lt;/td&gt;
| Alternate Pentachordal Major
    &lt;/tr&gt;
|
    &lt;tr&gt;
|-
        &lt;td&gt;2 3 2 2 2 2 2 3 2 2&lt;br /&gt;
| 2 3 2 2 2 2 3 2 2 2
&lt;/td&gt;
| Dynamic Symmetrical Major
        &lt;td&gt;Alternate Pentachordal Major&lt;br /&gt;
|
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 2 2 2 3 2 2 2 2 2 3
&lt;/table&gt;
| 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
|
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
| [[File:pajarastandardpentachordmajor22edo.mp3]]
|}


(more...)&lt;/body&gt;&lt;/html&gt;</pre></div>
==== MODMOS of 10 notes MOS ====
* Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2
 
=== 12 notes MOS, [[10L 2s|10L&nbsp;2s (Telluric)]] ===
{| class="wikitable"
|-
| 2
| 2
| 1
| 2
| 2
| 2
| 2
| 2
| 1
| 2
| 2
| 2
|-
| 2
| 2
| 2
| 1
| 2
| 2
| 2
| 2
| 2
| 1
| 2
| 2
|-
| 2
| 2
| 2
| 2
| 1
| 2
| 2
| 2
| 2
| 2
| 1
| 2
|-
| 2
| 2
| 2
| 2
| 2
| 1
| 2
| 2
| 2
| 2
| 2
| 1
|-
| 1
| 2
| 2
| 2
| 2
| 2
| 1
| 2
| 2
| 2
| 2
| 2
|-
| 2
| 1
| 2
| 2
| 2
| 2
| 2
| 1
| 2
| 2
| 2
| 2
|}
 
==== MODMOS of 12 notes MOS ====
* Hexachordal dodecatonic - Pajara[12] 3|2 (2) b10 or Pajara[12] 2|3 (2) #4 - 2 2 2 1 2 2 2 2 1 2 2 2
 
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==
=== 6 notes MOS, [[4L 2s|4L&nbsp;2s (Citric)]] ===
{| class="wikitable"
|-
| 5
| 1
| 5
| 5
| 1
| 5
|-
| 5
| 5
| 1
| 5
| 5
| 1
|-
| 1
| 5
| 5
| 1
| 5
| 5
|}
 
===10 notes MOS, [[4L 6s|4L&nbsp;6s (Lime)]]===
{| class="wikitable"
|-
| 1
| 4
| 1
| 4
| 1
| 1
| 4
| 1
| 4
| 1
|-
| 1
| 1
| 4
| 1
| 4
| 1
| 1
| 4
| 1
| 4
|-
| 4
| 1
| 1
| 4
| 1
| 4
| 1
| 1
| 4
| 1
|-
| 1
| 4
| 1
| 1
| 4
| 1
| 4
| 1
| 1
| 4
|-
| 4
| 1
| 4
| 1
| 1
| 4
| 1
| 4
| 1
| 1
|}
 
=== 14 notes MOS, [[4L 10s|4L&nbsp;10s]] ===
{| class="wikitable"
|-
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
|-
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
|-
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
|-
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
|-
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
|-
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
|-
| 3
| 1
| 1
| 1
| 3
| 1
| 1
| 3
| 1
| 1
| 1
| 3
| 1
| 1
|}
 
=== 18 notes MOS ===
{| class="wikitable"
|-
| 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1
|}
 
== [[Magic_family#Astrology|Astrology]] ==
=== 6 notes MOS, [[4L 2s|4L&nbsp;2s (Citric)]] ===
{| class="wikitable"
|-
| 4
| 3
| 4
| 4
| 3
| 4
| *
|-
| 4
| 4
| 3
| 4
| 4
| 3
|
|-
| 3
| 4
| 4
| 3
| 4
| 4
|
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
| [[File:Astrology6 22edo.mp3]]
|}
 
=== 10 notes MOS, [[6L 4s|6L&nbsp;4s (Lemon)]] ===
{| class="wikitable"
|-
| 3
| 1
| 3
| 1
| 3
| 3
| 1
| 3
| 1
| 3
|-
| 3
| 3
| 1
| 3
| 1
| 3
| 3
| 1
| 3
| 1
|-
| 1
| 3
| 3
| 1
| 3
| 1
| 3
| 3
| 1
| 3
|-
| 3
| 1
| 3
| 3
| 1
| 3
| 1
| 3
| 3
| 1
|-
| 1
| 3
| 1
| 3
| 3
| 1
| 3
| 1
| 3
| 3
|}
 
=== 16 notes MOS ===
{| class="wikitable"
|-
| 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1
|}
 
== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==
=== 7 notes MOS, [[3L 4s|3L&nbsp;4s (Mosh)]] ===
{| class="wikitable"
|-
| 1
| 6
| 1
| 6
| 1
| 6
| 1
|-
| 1
| 1
| 6
| 1
| 6
| 1
| 6
|-
| 6
| 1
| 1
| 6
| 1
| 6
| 1
|-
| 1
| 6
| 1
| 1
| 6
| 1
| 6
|-
| 6
| 1
| 6
| 1
| 1
| 6
| 1
|-
| 1
| 6
| 1
| 6
| 1
| 1
| 6
|-
| 6
| 1
| 6
| 1
| 6
| 1
| 1
|}
 
=== 10 notes MOS, [[3L 7s|3L&nbsp;7s (Sephiroid)]] ===
{| class="wikitable"
|-
| 1
| 5
| 1
| 1
| 5
| 1
| 1
| 1
| 5
| 1
|-
| 1
| 1
| 5
| 1
| 1
| 5
| 1
| 1
| 1
| 5
|-
| 5
| 1
| 1
| 5
| 1
| 1
| 5
| 1
| 1
| 1
|-
| 1
| 5
| 1
| 1
| 5
| 1
| 1
| 5
| 1
| 1
|-
| 1
| 1
| 5
| 1
| 1
| 5
| 1
| 1
| 5
| 1
|-
| 1
| 1
| 1
| 5
| 1
| 1
| 5
| 1
| 1
| 5
|-
| 5
| 1
| 1
| 1
| 5
| 1
| 1
| 5
| 1
| 1
|-
| 1
| 5
| 1
| 1
| 1
| 5
| 1
| 1
| 5
| 1
|-
| 1
| 1
| 5
| 1
| 1
| 1
| 5
| 1
| 1
| 5
|-
| 5
| 1
| 1
| 5
| 1
| 1
| 1
| 5
| 1
| 1
|}
 
===13 notes MOS, [[3L 10s|3L&nbsp;10s]]===
{| class="wikitable"
|-
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
|-
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
|-
| 1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
|-
| 4
| 1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
|-
| 1
| 4
| 1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
|-
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
|-
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
|-
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
|-
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
| 1
| 1
|-
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
| 1
|-
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
|-
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
|-
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
|}
 
=== 16 notes MOS ===
{| class="wikitable"
|-
| 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
|}
 
=== 19 notes MOS ===
{| class="wikitable"
|-
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
|}
 
== Marvel ==
* [[Marvel double harmonic major]] (subset of Pajara[12] and pentachordal decatonic): 2 5 2 4 2 5 2
* Marvel augmented nonatonic: 2 3 2 2 4 2 2 3 2
* Marvel double harmonic nonatonic (subset of pentachordal decatonic): 2 3 2 2 4 2 3 2 2, 2 2 3 2 4 2 2 3 2
*[[Marvel hexatonic]]: 5 2 6 2 5 2
* Marvel double harmonic hexatonic (subset of [[Marvel double harmonic major]]): 2 5 2 6 5 2, 2 5 6 2 5 2
 
== Variations of major and minor ==
* "just" harmonic major: 4 3 2 4 2 5 2
* "just" harmonic minor: 4 2 3 4 2 5 2
* "just"/[[The Pinetone System#Pinetone pentatonic|Pinetone major pentatonic]]: 4 3 6 3 6
* "just" melodic minor: 4 2 3 4 3 4 2
* "just"/[[The Pinetone System#Pinetone pentatonic|Pinetone minor pentatonic]] (inverse of "just" major pentatonic): 6 3 4 6 3
* tetrachordal major, Sa grama: 4 3 2 4 4 3 2
* inverse of tetrachordal major, tetrachordal minor: 4 2 3 4 2 3 4
* [[Zarlino]]/Ptolemy diatonic, "just" major, Ma grama: 4 3 2 4 3 4 2
* inverse of [[Zarlino]]/Ptolemy diatonic, natural minor: 4 2 3 4 2 4 3
 
== Others ==
* [[2.3.7.11 4-SN octatonic]]: 3 2 3 5 3 2 3 1
* [[Blackdye]] / [[Syntonic dipentatonic]]: 1 3 2 3 1 3 2 3 1 3
* chromatic tetrachord octave species: 2 2 5 4 2 2 5, 5 2 2 4 5 2 2, 2 5 2 4 2 5 2
* enharmonic tetrachord octave species: 1 1 7 4 1 1 7, 7 1 1 4 7 1 1, 1 7 1 4 1 7 1
* enharmonic trichord octave species: 2 7 4 2 7, 7 2 4 7 2
* [[Freiporc]]
* Kai Lugheidh's mode: 2 5 3 3 5 2 2
* [[Magnetosphere scale]]: 2 5 6 4 5 - ''approximated from [[Hexany 1728]]''
* Mushroom: 5 4 4 1 8 – ''approximated from [[30afdo]]''
* Starship: 2 5 2 4 5 4 – ''approximated from [[68afdo]]''
* Volcanic: 2 5 6 5 4 – ''approximated from [[16afdo]]''
 
{{Navbox scale gallery}}
 
[[Category:22edo]]
[[Category:Lists of scales]]
[[Category:Listen]]
[[Category:Modes]]
[[Category:Modal harmony]]

Latest revision as of 05:11, 14 May 2025

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

Orwell

5 notes MOS, 4L 1s (Manual)

2 5 5a 5 5
5 2 5 5 5
5 5 2 5 5
5 5 5 2 5
5 5 5 5 2

9 notes MOS, 4L 5s (Gramitonic)

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

* Audio example:

13 notes MOS, 9L 4s

1 2 2 1 2 2 1 2 2 1 2 2 2
2 2 1 2 2 1 2 2 1 2 2 2 1
2 1 2 2 1 2 2 1 2 2 2 1 2
1 2 2 1 2 2 1 2 2 2 1 2 2
2 2 1 2 2 1 2 2 2 1 2 2 1
2 1 2 2 1 2 2 2 1 2 2 1 2
1 2 2 1 2 2 2 1 2 2 1 2 2
2 2 1 2 2 2 1 2 2 1 2 2 1
2 1 2 2 2 1 2 2 1 2 2 1 2
1 2 2 2 1 2 2 1 2 2 1 2 2
2 2 2 1 2 2 1 2 2 1 2 2 1
2 2 1 2 2 1 2 2 1 2 2 1 2
2 1 2 2 1 2 2 1 2 2 1 2 2

Porcupine

See also Porcupine Temperament Modal Harmony for many more MODMOS modes.

7 notes MOS, 1L 6s (Onyx)

3 3 3 3 3 3 4 Magical seventh mode
3 3 3 3 3 4 3 Diminished
3 3 3 3 4 3 3 Diminished
3 3 3 4 3 3 3 symmetric minor ("dorian") *
3 3 4 3 3 3 3 bright minor
3 4 3 3 3 3 3 dark major
4 3 3 3 3 3 3 bright otonal major **

* Audio example:

** Audio example:

MODMOS of 7 notes MOS

  • Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7: 4 3 3 3 3 2 4
  • Porcupine bright major #6 #7 (Porcupine melodic major) - Porcupine[7] 6|0 #6 #7: 4 3 3 3 4 3 2
  • Porcupine bright major #7 (Porcupine harmonic major) - Porcupine[7] 6|0 #7: 4 3 3 3 3 4 2
  • Porcupine bright minor #2 (Porcupine harmonic minor) - Porcupine[7] 4|2 #2: 4 2 4 3 3 3 3 (mode of bright major #7)
  • Porcupine dark minor #2 (Porcupine melodic minor) - Porcupine[7] 3|3 #2: 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
  • "JI" major, Zarlino/Ptolemy diatonic, Ma grama - Porcupine[7] 6|0 b4 #7: 4 3 2 4 3 4 2
  • "JI" minor, inverse of Zarlino/Ptolemy diatonic - Porcupine[7] 3|3 #2 b6: 4 2 3 4 2 4 3

8 notes MOS, 7L 1s (Pine)

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 both minor and major
3 1 3 3 3 3 3 3 kind of major
1 3 3 3 3 3 3 3 kind of major

MODMOS of 8 notes MOS

15 notes MOS, 7L 8s

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

Hedgehog

6 notes MOS, 2L 4s (Malic)

3 5 3 3 5 3
3 3 5 3 3 5
5 3 3 5 3 3

8 notes MOS, 6L 2s (Ekic)

3 3 3 2 3 3 3 2
3 3 2 3 3 3 2 3
3 2 3 3 3 2 3 3
2 3 3 3 2 3 3 3

14 notes MOS, 8L 6s

2 1 2 1 2 1 2 2 1 2 1 2 1 2
1 2 1 2 1 2 2 1 2 1 2 1 2 2
2 1 2 1 2 2 1 2 1 2 1 2 2 1
1 2 1 2 2 1 2 1 2 1 2 2 1 2
2 1 2 2 1 2 1 2 1 2 2 1 2 1
1 2 2 1 2 1 2 1 2 2 1 2 1 2
2 2 1 2 1 2 1 2 2 1 2 1 2 1

Superpyth

5 notes MOS, 2L 3s (Pentic)

4 5 4 5 4
4 4 5 4 5
5 4 4 5 4
4 5 4 4 5
5 4 5 4 4

7 notes MOS, 5L 2s (Diatonic)

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 (Aeolian)
1 4 4 1 4 4 4 Locrian

MODMOS of 7 notes MOS

  • Superpyth melodic minor – Superpyth[7] 5|1 b3 – 4 1 4 4 4 4 1
  • Superpyth harmonic minor – Superpyth[7] 2|4 #7 – 4 1 4 4 1 7 1
  • Superpyth harmonic major – Superpyth[7] 5|1 b6 – 4 4 1 4 1 7 1 (inverse of harmonic minor)
  • Superpyth double harmonic major – Superpyth[7] 5|1 b2 b6 – 1 7 1 4 1 7 1

Subsets of 7 notes MOS

  • Manohari – 5 4 4 4 1 4
  • Shailaja – 5 8 1 4 4
  • Subminor hexatonic – 4 1 4 4 5 4

12 notes MOS, 5L 7s (P-Chromatic)

1 3 1 3 1 3 1 1 3 1 3 1
1 1 3 1 3 1 3 1 1 3 1 3
3 1 1 3 1 3 1 3 1 1 3 1
1 3 1 1 3 1 3 1 3 1 1 3
3 1 3 1 1 3 1 3 1 3 1 1
1 3 1 3 1 1 3 1 3 1 3 1
1 1 3 1 3 1 1 3 1 3 1 3
3 1 1 3 1 3 1 1 3 1 3 1
1 3 1 1 3 1 3 1 1 3 1 3
3 1 3 1 1 3 1 3 1 1 3 1
1 3 1 3 1 1 3 1 3 1 1 3
3 1 3 1 3 1 1 3 1 3 1 1

Scala files for all 12 modes

Audio comparison of the 12 modes

17 notes MOS

1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1

Subsets of 17 notes MOS

  • Subminor Blues – 5 4 2 2 5 4

Pajara/Srutal/Pajarous

10 notes

"Symmetrical" modes are MOS, 2L 8s (Jaric); "Pentachordal" modes are not MOS.

(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

* Audio example:

MODMOS of 10 notes MOS

  • Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2

12 notes MOS, 10L 2s (Telluric)

2 2 1 2 2 2 2 2 1 2 2 2
2 2 2 1 2 2 2 2 2 1 2 2
2 2 2 2 1 2 2 2 2 2 1 2
2 2 2 2 2 1 2 2 2 2 2 1
1 2 2 2 2 2 1 2 2 2 2 2
2 1 2 2 2 2 2 1 2 2 2 2

MODMOS of 12 notes MOS

  • Hexachordal dodecatonic - Pajara[12] 3|2 (2) b10 or Pajara[12] 2|3 (2) #4 - 2 2 2 1 2 2 2 2 1 2 2 2

Doublewide/Fleetwood

6 notes MOS, 4L 2s (Citric)

5 1 5 5 1 5
5 5 1 5 5 1
1 5 5 1 5 5

10 notes MOS, 4L 6s (Lime)

1 4 1 4 1 1 4 1 4 1
1 1 4 1 4 1 1 4 1 4
4 1 1 4 1 4 1 1 4 1
1 4 1 1 4 1 4 1 1 4
4 1 4 1 1 4 1 4 1 1

14 notes MOS, 4L 10s

1 3 1 1 1 3 1 1 3 1 1 1 3 1
1 1 3 1 1 1 3 1 1 3 1 1 1 3
3 1 1 3 1 1 1 3 1 1 3 1 1 1
1 3 1 1 3 1 1 1 3 1 1 3 1 1
1 1 3 1 1 3 1 1 1 3 1 1 3 1
1 1 1 3 1 1 3 1 1 1 3 1 1 3
3 1 1 1 3 1 1 3 1 1 1 3 1 1

18 notes MOS

2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1

Astrology

6 notes MOS, 4L 2s (Citric)

4 3 4 4 3 4 *
4 4 3 4 4 3
3 4 4 3 4 4

* Audio example:

10 notes MOS, 6L 4s (Lemon)

3 1 3 1 3 3 1 3 1 3
3 3 1 3 1 3 3 1 3 1
1 3 3 1 3 1 3 3 1 3
3 1 3 3 1 3 1 3 3 1
1 3 1 3 3 1 3 1 3 3

16 notes MOS

2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1

Magic/Telepathy

7 notes MOS, 3L 4s (Mosh)

1 6 1 6 1 6 1
1 1 6 1 6 1 6
6 1 1 6 1 6 1
1 6 1 1 6 1 6
6 1 6 1 1 6 1
1 6 1 6 1 1 6
6 1 6 1 6 1 1

10 notes MOS, 3L 7s (Sephiroid)

1 5 1 1 5 1 1 1 5 1
1 1 5 1 1 5 1 1 1 5
5 1 1 5 1 1 5 1 1 1
1 5 1 1 5 1 1 5 1 1
1 1 5 1 1 5 1 1 5 1
1 1 1 5 1 1 5 1 1 5
5 1 1 1 5 1 1 5 1 1
1 5 1 1 1 5 1 1 5 1
1 1 5 1 1 1 5 1 1 5
5 1 1 5 1 1 1 5 1 1

13 notes MOS, 3L 10s

1 1 4 1 1 1 4 1 1 1 4 1 1
1 1 1 4 1 1 1 4 1 1 1 4 1
1 1 1 1 4 1 1 1 4 1 1 1 4
4 1 1 1 1 4 1 1 1 4 1 1 1
1 4 1 1 1 1 4 1 1 1 4 1 1
1 1 4 1 1 1 1 4 1 1 1 4 1
1 1 1 4 1 1 1 1 4 1 1 1 4
4 1 1 1 4 1 1 1 1 4 1 1 1
1 4 1 1 1 4 1 1 1 1 4 1 1
1 1 4 1 1 1 4 1 1 1 1 4 1
1 1 1 4 1 1 1 4 1 1 1 1 4
4 1 1 1 4 1 1 1 4 1 1 1 1
1 4 1 1 1 4 1 1 1 4 1 1 1

16 notes MOS

3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1

19 notes MOS

1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1

Marvel

  • Marvel double harmonic major (subset of Pajara[12] and pentachordal decatonic): 2 5 2 4 2 5 2
  • Marvel augmented nonatonic: 2 3 2 2 4 2 2 3 2
  • Marvel double harmonic nonatonic (subset of pentachordal decatonic): 2 3 2 2 4 2 3 2 2, 2 2 3 2 4 2 2 3 2
  • Marvel hexatonic: 5 2 6 2 5 2
  • Marvel double harmonic hexatonic (subset of Marvel double harmonic major): 2 5 2 6 5 2, 2 5 6 2 5 2

Variations of major and minor

  • "just" harmonic major: 4 3 2 4 2 5 2
  • "just" harmonic minor: 4 2 3 4 2 5 2
  • "just"/Pinetone major pentatonic: 4 3 6 3 6
  • "just" melodic minor: 4 2 3 4 3 4 2
  • "just"/Pinetone minor pentatonic (inverse of "just" major pentatonic): 6 3 4 6 3
  • tetrachordal major, Sa grama: 4 3 2 4 4 3 2
  • inverse of tetrachordal major, tetrachordal minor: 4 2 3 4 2 3 4
  • Zarlino/Ptolemy diatonic, "just" major, Ma grama: 4 3 2 4 3 4 2
  • inverse of Zarlino/Ptolemy diatonic, natural minor: 4 2 3 4 2 4 3

Others

  • 2.3.7.11 4-SN octatonic: 3 2 3 5 3 2 3 1
  • Blackdye / Syntonic dipentatonic: 1 3 2 3 1 3 2 3 1 3
  • chromatic tetrachord octave species: 2 2 5 4 2 2 5, 5 2 2 4 5 2 2, 2 5 2 4 2 5 2
  • enharmonic tetrachord octave species: 1 1 7 4 1 1 7, 7 1 1 4 7 1 1, 1 7 1 4 1 7 1
  • enharmonic trichord octave species: 2 7 4 2 7, 7 2 4 7 2
  • Freiporc
  • Kai Lugheidh's mode: 2 5 3 3 5 2 2
  • Magnetosphere scale: 2 5 6 4 5 - approximated from Hexany 1728
  • Mushroom: 5 4 4 1 8 – approximated from 30afdo
  • Starship: 2 5 2 4 5 4 – approximated from 68afdo
  • Volcanic: 2 5 6 5 4 – approximated from 16afdo


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