22edo modes: Difference between revisions

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m Added section for non-MOS modes, including Kai's old mode from the archived Wikispaces talk page. Also separated audio examples out from the tables so that the tables were not squished awkwardly, as well as making the spacing between paragraphs consistent throughout the article.
no clue why the old mos names are still here, fixed them
 
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Some modes available in [[22edo]]. Please add more, discovered or newly-composed! Note also that 22edo can play all [[11edo Modes]] as well...
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.


== [[Orwell]] ==
== [[Orwell]] ==
 
=== 5 notes MOS, [[4L 1s|4L 1s (Manual)]] ===
=== 5 notes MOS, [[4L_1s|4L+1s (Grumpy pentatonic)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| 2
| 2
| 5
| 5
| 5
| 5a
| 5
| 5
| 5
| 5
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|}
|}


=== 9 notes MOS, [[4L_5s|4L+5s (fair bug)]] ===
=== 9 notes MOS, [[4L 5s|4L 5s (Gramitonic)]] ===


{| class="wikitable"
{| class="wikitable"
|-
|-
| 2 3 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 3 2 3 2 3 2 2
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|-
|-
| 2 3 2 3 2 3 2 2 3
| 2 3 2 3 2 3 2 2 3
|
|  
|-
|-
| 3 2 3 2 3 2 2 3 2
| 3 2 3 2 3 2 2 3 2
|
|  
|-
|-
| 2 3 2 3 2 2 3 2 3
| 2 3 2 3 2 2 3 2 3
|
|  
|-
|-
| 3 2 3 2 2 3 2 3 2
| 3 2 3 2 2 3 2 3 2
|
|  
|-
|-
| 2 3 2 2 3 2 3 2 3
| 2 3 2 2 3 2 3 2 3
|
|  
|-
|-
| 3 2 2 3 2 3 2 3 2
| 3 2 2 3 2 3 2 3 2
|
|  
|-
|-
| 2 2 3 2 3 2 3 2 3
| 2 2 3 2 3 2 3 2 3
|
|  
|}
|}
<nowiki>*</nowiki>Audio example:
<nowiki />* Audio example:
{| class="wikitable"
{| class="wikitable"
|-
|-
|[[file:OrwellNonatonic22edo.mp3]]
| [[file:OrwellNonatonic22edo.mp3]]
|}
|}


=== 13 notes MOS, [[9L_4s|9L+4s]]===
=== 13 notes MOS, [[9L&nbsp;4s]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}
== [[Porcupine]] ==
== [[Porcupine]] ==
See also [[Porcupine Temperament Modal Harmony]] for many more MODMOS modes.
See also [[Porcupine Temperament Modal Harmony]] for many more MODMOS modes.


=== 7 notes MOS, [[1L_6s|1L+6s (Happy heptatonic)]] ===
=== 7 notes MOS, [[1L 6s|1L&nbsp;6s (Onyx)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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| 3 3 3 4 3 3 3
| 3 3 3 4 3 3 3
| symmetric minor ("dorian")
| symmetric minor ("dorian")
| *
| <nowiki />*
|-
|-
| 3 3 4 3 3 3 3
| 3 3 4 3 3 3 3
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| 4 3 3 3 3 3 3
| 4 3 3 3 3 3 3
| bright otonal major
| bright otonal major
| #
| <nowiki />**
|}
|}
<nowiki>*</nowiki>Audio example:  
<nowiki />* Audio example:
{| class="wikitable"
{| class="wikitable"
|-
|-
|[[File:porcupinesymmetricminor22edo.mp3]]
| [[File:porcupinesymmetricminor22edo.mp3]]
|}
|}
<nowiki>#</nowiki>Audio example:
<nowiki />** Audio example:
{| class="wikitable"
{| class="wikitable"
|-
|-
|[[File:porcupineotonalmajor22edo.mp3]]
| [[File:porcupineotonalmajor22edo.mp3]]
|}
|}


=== 8 notes MOS, [[7L_1s|7L+1s (Grumpy octatonic)]] ===
==== 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|7L&nbsp;1s (Pine)]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


=== 15 notes MOS, [[7L_8s|7L+8s]] ===
==== MODMOS of 8 notes MOS ====
* [[The Pinetone System#Pinetone harmonic diminished octatonic|Pinetone harmonic diminished]], Porcupine[8] 2|5 #5: 3 3 1 5 1 3 3 3


=== 15 notes MOS, [[7L&nbsp;8s]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
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| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2
| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2
|}
|}
== [[Porcupine family#Hedgehog|Hedgehog]] ==
== [[Porcupine family#Hedgehog|Hedgehog]] ==
 
=== 6 notes MOS, [[2L 4s|2L&nbsp;4s (Malic)]] ===
=== 6 notes MOS, [[2L_4s|2L+4s (Rice hexatonic)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


=== 8 notes MOS, [[6L_2s|6L+2s (Biggie octatonic)]] ===
=== 8 notes MOS, [[6L 2s|6L&nbsp;2s (Ekic)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


=== 14 notes MOS, 8L+6s ===
=== 14 notes MOS, 8L&nbsp;6s ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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== [[Superpyth]] ==
== [[Superpyth]] ==
 
=== 5 notes MOS, [[2L 3s|2L&nbsp;3s (Pentic)]] ===
=== 7 notes MOS, [[5L_2s|5L+2s (diatonic)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| 4 4 1 4 4 4 1
| 4
| Major (Ionian)
| 5
| 4
| 5
| 4
|-
|-
| 4 1 4 4 4 1 4
| 4
| Dorian
| 4
| 5
| 4
| 5
|-
|-
| 1 4 4 4 1 4 4
| 5
| Phrygian
| 4
| 4
| 5
| 4
|-
|-
| 4 4 4 1 4 4 1
| 4
| Lydian
| 5
| 4
| 4
| 5
|-
|-
| 4 4 1 4 4 1 4
| 5
| 4
| 5
| 4
| 4
|}
 
=== 7 notes MOS, [[5L 2s|5L&nbsp;2s (Diatonic)]]===
 
{| class="wikitable"
|-
| 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
| Mixolydian
|-
|-
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| Locrian
| 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 ====
==== 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|5L&nbsp;7s (P-Chromatic)]]===
{| class="wikitable"
{| class="wikitable"
|-
|-
| 5 4 4 4 1 4
| 1
| Manohari (''subset of Dorian'')
| 3
|-
| 1
| 5 8 1 4 4
| 3
| Shailaja (''subset of Aeolian'')
| 1
| 3
| 1
| 1
| 3
| 1
| 3
| 1
|-
|-
| 4 1 4 4 5 4
| 1
| Subminor Hexatonic (''subset of Aeolian'')
| 1
|}
| 3
 
| 1
=== 5-or7-limitSuperpyth/11-limitSuprapyth[5] ===
| 3
 
| 1
==== 5 notes MOS, [[2L_3s|2L+3s (classic pentatonic)]] ====
| 3
 
| 1
{| class="wikitable"
| 1
|-
| 3
| 4
| 1
| 5
| 3
| 4
| 5
| 4
|-
|-
| 4
| 3
| 4
| 1
| 5
| 1
| 4
| 3
| 5
| 1
|-
| 3
| 5
| 1
| 4
| 3
| 4
| 1
| 5
| 1
| 4
| 3
|-
| 1
| 4
| 5
| 4
| 4
| 5
|-
| 5
| 4
| 5
| 4
| 4
|}
 
=== 5-or7-limitSuperpyth/11-limitSuprapyth[12] ===
 
==== 12 notes MOS, [[5L_7s|5L+7s]] ====
 
{| class="wikitable"
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|-
| 1
| 3
| 1
| 1
| 1
| 3
| 3
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| 1
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| 1
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| 1
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| 1
| 1
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| 3
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| 1
| 1
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| 1
| 1
| 3
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| 1
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| 1
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| 1
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| 1
| 1
| 3
| 3
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| 3
| 1
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| 1
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| 1
| 1
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| 1
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|-
| 1
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| 1
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| 1
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| 1
| 3
| 3
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| 3
| 1
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|-
| 3
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| 1
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| 1
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|-
| 1
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| 1
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| 1
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|-
| 1
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|-
| 3
| 3
| 1
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| 3
| 1
| 1
| 3
| 1
| 1
|}
[http://micro.soonlabel.com/22-ET/superpyth_comparison/22_SP_scala_files.zip Scala files for all 12 modes]
[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]
=== 17 notes MOS ===
{| class="wikitable"
|-
|-
| 1
| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
| 3
|}
| 1
 
| 3
==== Subsets of 17 notes MOS ====
| 1
* Subminor Blues – 5 4 2 2 5 4
| 1
 
| 3
== [[Pajara]]/[[Srutal]]/[[Pajarous]] ==
| 1
=== 10 notes ===
| 3
"Symmetrical" modes are MOS, [[2L 8s|2L&nbsp;8s (Jaric)]]; "Pentachordal" modes are not MOS.
| 1
 
| 1
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)
| 3
 
{| class="wikitable"
|-
| 2 2 3 2 2 2 3 2 2 2
| Standard Pentachordal Major
| *
|-
|-
| 3
| 2 2 3 2 2 2 2 3 2 2
| 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]
 
[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]
== [[Pajara]] ==
 
=== 10 notes ===
"Symmetrical" modes are MOS, [[2L_8s|2L+8s (Rice decatonic)]]; "Pentachordal" modes are not MOS.
 
(The names of the modes are Paul Erlich's - see [http://lumma.org/tuning/erlich/erlich-decatonic.pdf http://lumma.org/tuning/erlich/erlich-decatonic.pdf].)
 
{| class="wikitable"
|-
| 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
| Static Symmetrical Major
|  
|  
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|  
|  
|}
|}
<nowiki>*</nowiki>Audio example:
<nowiki />* Audio example:
{| class="wikitable"
{| class="wikitable"
|-
|-
|[[File:pajarastandardpentachordmajor22edo.mp3]]
| [[File:pajarastandardpentachordmajor22edo.mp3]]
|}
|}


=== [[Diaschismic_family#Srutal|Srutal]]/Pajara/[[Diaschismic_family#Pajara-Pajarous|Pajarous]][12] ===
==== 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, [[2L_8s|10L+2s]] ===


=== 12 notes MOS, [[10L 2s|10L&nbsp;2s (Telluric)]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
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| 2
| 2
|}
|}
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==


=== 6 notes MOS, [[4L_2s|4L+2s (bicycle)]] ===
==== 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"
{| class="wikitable"
|-
|-
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|}
|}


=== 10 notes MOS, [[4L_6s|4L+6s (fair bicycle)]] ===
===10 notes MOS, [[4L 6s|4L&nbsp;6s (Lime)]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


=== 14 notes MOS, [[4L_10s|4L+10s ]] ===
=== 14 notes MOS, [[4L 10s|4L&nbsp;10s]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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| 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]] ==
== [[Magic_family#Astrology|Astrology]] ==
=== 6 notes MOS, [[4L_2s|4L+2s (bicycle)]] ===
=== 6 notes MOS, [[4L 2s|4L&nbsp;2s (Citric)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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| 3
| 3
| 4
| 4
|*
| *
|-
|-
| 4
| 4
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| 4
| 4
| 3
| 3
|
|  
|-
|-
| 3
| 3
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| 4
| 4
| 4
| 4
|
|  
|}
|}
<nowiki>*</nowiki>Audio example:  
<nowiki />* Audio example:
{| class="wikitable"
{| class="wikitable"
|-
|-
|[[File:Astrology6 22edo.mp3]]
| [[File:Astrology6 22edo.mp3]]
|}
|}


=== 10 notes MOS, [[6L_4s|6L+4s (unfair bicycle)]] ===
=== 10 notes MOS, [[6L 4s|6L&nbsp;4s (Lemon)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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| 3
| 3
|}
|}
== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==


=== 7 notes MOS, [[3L_4s|3L+4s (mosh)]] ===
=== 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"
{| class="wikitable"
|-
|-
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|}
|}


=== 10 notes MOS, [[3L_7s|3L+7s (fair mosh)]] ===
=== 10 notes MOS, [[3L 7s|3L&nbsp;7s (Sephiroid)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


=== 13 notes MOS, [[3L_10s|3L+10s]] ===
===13 notes MOS, [[3L 10s|3L&nbsp;10s]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


== Non-MOS ==
=== 16 notes MOS ===
{| class="wikitable"
{| class="wikitable"
|-
|-
| Kai Lugheidh's mode
| 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
| 2 5 3 3 5 2 2
|}
 
=== 19 notes MOS ===
{| class="wikitable"
|-
|-
| [[Aurora scale|Aurora]] scale
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
| 2 5 6 4 5
|}
|}
== 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:22edo]]
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[[Category:Listen]]
[[Category:Listen]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:modal_harmony]]
[[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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