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22edo modes: Difference between revisions

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no clue why the old mos names are still here, fixed them
 
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Some modes available in [[22edo|22edo]]. Please add more, discovered or newly-composed! Note also that 22edo can play all [[11edo_Modes|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.
__FORCETOC__
-----
 
=[[Orwell|Orwell]]=
 
===5 notes MOS, [[4L_1s|4L+1s (Grumpy pentatonic)]]===


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


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


===13 notes MOS, [[9L_4s|9L+4s]]===
=== 13 notes MOS, [[9L&nbsp;4s]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
|-
|-
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
|-
|-
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
|-
|-
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
|-
|-
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
|-
|-
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
|-
|-
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
|-
|-
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
|-
|-
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
|}
|}
== [[Porcupine]] ==
See also [[Porcupine Temperament Modal Harmony]] for many more MODMOS modes.


-----
=== 7 notes MOS, [[1L 6s|1L&nbsp;6s (Onyx)]] ===
 
=[[Porcupine|Porcupine]]=
 
See also [[Porcupine_Temperament_Modal_Harmony|Porcupine Temperament Modal Harmony]] for many more MODMOS modes.
 
===7 notes MOS, [[1L_6s|1L+6s (Happy heptatonic)]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 3 3 3 3 3 3 4
| 3 3 3 3 3 3 4
| | Magical seventh mode
| Magical seventh mode
| |  
|  
|-
|-
| | 3 3 3 3 3 4 3
| 3 3 3 3 3 4 3
| | Diminished
| Diminished
| |  
|  
|-
|-
| | 3 3 3 3 4 3 3
| 3 3 3 3 4 3 3
| | Diminished
| Diminished
| |  
|  
|-
|-
| | 3 3 3 4 3 3 3
| 3 3 3 4 3 3 3
| | symmetric minor ("dorian")
| symmetric minor ("dorian")
| | [[File:porcupinesymmetricminor22edo.mp3]]
| <nowiki />*
|-
|-
| | 3 3 4 3 3 3 3
| 3 3 4 3 3 3 3
| | bright minor
| bright minor
| |  
|  
|-
|-
| | 3 4 3 3 3 3 3
| 3 4 3 3 3 3 3
| | dark major
| dark major
| |  
|  
|-
|-
| | 4 3 3 3 3 3 3
| 4 3 3 3 3 3 3
| | bright otonal major
| bright otonal major
| | [[File:porcupineotonalmajor22edo.mp3]]
| <nowiki />**
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
| [[File:porcupinesymmetricminor22edo.mp3]]
|}
<nowiki />** Audio example:
{| class="wikitable"
|-
| [[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"
|-
|-
| | 3 3 3 3 3 3 3 1
| 3 3 3 3 3 3 3 1
| |  
|  
|-
|-
| | 3 3 3 3 3 3 1 3
| 3 3 3 3 3 3 1 3
| |  
|  
|-
|-
| | 3 3 3 3 3 1 3 3
| 3 3 3 3 3 1 3 3
| |  
|  
|-
|-
| | 3 3 3 3 1 3 3 3
| 3 3 3 3 1 3 3 3
| | kind of minor
| kind of minor
|-
|-
| | 3 3 3 1 3 3 3 3
| 3 3 3 1 3 3 3 3
| | kind of minor
| kind of minor
|-
|-
| | 3 3 1 3 3 3 3 3
| 3 3 1 3 3 3 3 3
| | both minor and major
| both minor and major
|-
|-
| | 3 1 3 3 3 3 3 3
| 3 1 3 3 3 3 3 3
| | kind of major
| kind of major
|-
|-
| | 1 3 3 3 3 3 3 3
| 1 3 3 3 3 3 3 3
| | kind of major
| kind of major
|}
|}


===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"
|-
|-
| | 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 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 1 1
|-
|-
| | 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 1 1 2
|-
|-
| | 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 1 1 2 1
|-
|-
| | 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 1 1 2 1 2
|-
|-
| | 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1
| 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
| 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
| 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
| 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
| 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
| 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
| 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
| 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
| 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
| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2
|}
|}


-----
== [[Porcupine family#Hedgehog|Hedgehog]] ==
 
=== 6 notes MOS, [[2L 4s|2L&nbsp;4s (Malic)]] ===
=[[Porcupine_family#Hedgehog|Hedgehog]]=
 
===6 notes MOS, [[2L_4s|2L+4s (Rice hexatonic)]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 3
| 3
| | 5
| 5
| | 3
| 3
| | 3
| 3
| | 5
| 5
| | 3
| 3
|-
|-
| | 3
| 3
| | 3
| 3
| | 5
| 5
| | 3
| 3
| | 3
| 3
| | 5
| 5
|-
|-
| | 5
| 5
| | 3
| 3
| | 3
| 3
| | 5
| 5
| | 3
| 3
| | 3
| 3
|}
|}


===8 notes MOS, [[6L_2s|6L+2s (Biggie octatonic)]]===
=== 8 notes MOS, [[6L 2s|6L&nbsp;2s (Ekic)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 3 3 3 2 3 3 3 2
| 3 3 3 2 3 3 3 2
|-
|-
| | 3 3 2 3 3 3 2 3
| 3 3 2 3 3 3 2 3
|-
|-
| | 3 2 3 3 3 2 3 3
| 3 2 3 3 3 2 3 3
|-
|-
| | 2 3 3 3 2 3 3 3
| 2 3 3 3 2 3 3 3
|}
|}


===14 notes MOS, 8L+6s===
=== 14 notes MOS, 8L&nbsp;6s ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 2 1 2 1 2 1 2 2 1 2 1 2 1 2
| 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
| 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
| 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
| 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
| 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
| 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
| 2 2 1 2 1 2 1 2 2 1 2 1 2 1
|}
|}


-----
== [[Superpyth]] ==
 
=== 5 notes MOS, [[2L 3s|2L&nbsp;3s (Pentic)]] ===
=[[Superpyth|Superpyth]]=
 
===7 notes MOS, [[5L_2s|5L+2s (diatonic)]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 4 4 1 4 4 4 1
| 4
| | Major (Ionian)
| 5
|-
| 4
| | 4 1 4 4 4 1 4
| 5
| | Dorian
| 4
|-
| | 1 4 4 4 1 4 4
| | Phrygian
|-
|-
| | 4 4 4 1 4 4 1
| 4
| | Lydian
| 4
| 5
| 4
| 5
|-
|-
| | 4 4 1 4 4 1 4
| 5
| | Mixolydian
| 4
| 4
| 5
| 4
|-
|-
| | 4 1 4 4 1 4 4
| 4
| | Minor (Aolian)
| 5
| 4
| 4
| 5
|-
|-
| | 1 4 4 1 4 4 4
| 5
| | Locrian
| 4
| 5
| 4
| 4
|}
|}


=='''5-or7-limitSuperpyth/11-limitSuprapyth[5]'''==
=== 7 notes MOS, [[5L 2s|5L&nbsp;2s (Diatonic)]]===
 
==='''5 notes MOS, [[2L_3s|2L+3s (classic pentatonic)]]'''===


{| class="wikitable"
{| class="wikitable"
|-
|-
| | 4
| 4 4 1 4 4 4 1
| | 5
| Major (Ionian)
| | 4
| | 5
| | 4
|-
|-
| | 4
| 4 1 4 4 4 1 4
| | 4
| Dorian
| | 5
| | 4
| | 5
|-
|-
| | 5
| 1 4 4 4 1 4 4
| | 4
| Phrygian
| | 4
| | 5
| | 4
|-
|-
| | 4
| 4 4 4 1 4 4 1
| | 5
| Lydian
| | 4
| | 4
| | 5
|-
|-
| | 5
| 4 4 1 4 4 1 4
| | 4
| Mixolydian
| | 5
|-
| | 4
| 4 1 4 4 1 4 4
| | 4
| Minor (Aeolian)
|-
| 1 4 4 1 4 4 4
| Locrian
|}
|}


==5-or7-limitSuperpyth/11-limitSuprapyth[12]==
==== 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


===12 notes MOS, [[5L_7s|5L+7s]]===
==== 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"
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
|}
|}
[http://micro.soonlabel.com/22-ET/superpyth_comparison/22_SP_scala_files.zip Scala files for all 12 modes]
[http://micro.soonlabel.com/22-ET/superpyth_comparison/22_SP_scala_files.zip Scala files for all 12 modes]
Line 648: Line 668:
[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]
[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]


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


=[[pajara|Pajara]]=
==== Subsets of 17 notes MOS ====
* Subminor Blues – 5 4 2 2 5 4


===10 notes===
== [[Pajara]]/[[Srutal]]/[[Pajarous]] ==
"Symmetrical" modes are MOS, [[2L_8s|2L+8s (Rice decatonic)]]; "Pentachordal" modes are not MOS.
=== 10 notes ===
"Symmetrical" modes are MOS, [[2L 8s|2L&nbsp;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 http://lumma.org/tuning/erlich/erlich-decatonic.pdf].)
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)


{| class="wikitable"
{| class="wikitable"
|-
|-
| | 2 2 3 2 2 2 3 2 2 2
| 2 2 3 2 2 2 3 2 2 2
| | Standard Pentachordal Major
| Standard Pentachordal Major
| | [[File:pajarastandardpentachordmajor22edo.mp3]]
| *
|-
| 2 2 3 2 2 2 2 3 2 2
| Static Symmetrical Major
|  
|-
|-
| | 2 2 3 2 2 2 2 3 2 2
| 2 3 2 2 2 2 2 3 2 2
| | Static Symmetrical Major
| Alternate Pentachordal Major
| |  
|  
|-
|-
| | 2 3 2 2 2 2 2 3 2 2
| 2 3 2 2 2 2 3 2 2 2
| | Alternate Pentachordal Major
| Dynamic Symmetrical Major
| |  
|  
|-
|-
| | 2 3 2 2 2 2 3 2 2 2
| 2 2 2 3 2 2 2 2 2 3
| | Dynamic Symmetrical Major
| Standard Pentachordal Minor
| |  
|  
|-
|-
| | 2 2 2 3 2 2 2 2 2 3
| 2 2 2 3 2 2 2 2 3 2
| | Standard Pentachordal Minor
| Static Symmetrical Minor
| |  
|  
|-
|-
| | 2 2 2 3 2 2 2 2 3 2
| 2 2 2 2 3 2 2 2 3 2
| | Static Symmetrical Minor
| Alternate Pentachordal Minor
| |  
|  
|-
|-
| | 2 2 2 2 3 2 2 2 3 2
| 2 2 2 2 3 2 2 2 2 3
| | Alternate Pentachordal Minor
| Dynamic Symmetrical Minor
| |  
|  
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
|-
| | 2 2 2 2 3 2 2 2 2 3
| [[File:pajarastandardpentachordmajor22edo.mp3]]
| | Dynamic Symmetrical Minor
| |
|}
|}


===[[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"
|-
|-
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
|-
|-
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
|-
|-
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
|-
|-
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 2
| 2
| | 1
| 1
| | 2
| 2
| | 2
| 2
| | 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+2s (bicycle)]]===


== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==
=== 6 notes MOS, [[4L 2s|4L&nbsp;2s (Citric)]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 5
| 5
| | 1
| 1
| | 5
| 5
| | 5
| 5
| | 1
| 1
| | 5
| 5
|-
|-
| | 5
| 5
| | 5
| 5
| | 1
| 1
| | 5
| 5
| | 5
| 5
| | 1
| 1
|-
|-
| | 1
| 1
| | 5
| 5
| | 5
| 5
| | 1
| 1
| | 5
| 5
| | 5
| 5
|}
|}


===10 notes MOS, [[4L_6s|4L+6s (fair bicycle)]]===
===10 notes MOS, [[4L 6s|4L&nbsp;6s (Lime)]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
|-
|-
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
|-
|-
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
|-
|-
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
|}
|}


===14 notes MOS, [[4L_10s|4L+10s ]]===
=== 14 notes MOS, [[4L 10s|4L&nbsp;10s]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 1
| 1
|}
|}


-----
=== 18 notes MOS ===
 
{| class="wikitable"
=[[Magic_family#Astrology|Astrology]]=
|-
 
| 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1
=== ===
|}
 
===6 notes MOS, [[4L_2s|4L+2s (bicycle)]]===


== [[Magic_family#Astrology|Astrology]] ==
=== 6 notes MOS, [[4L 2s|4L&nbsp;2s (Citric)]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 4
| 4
| | 3
| 3
| | 4
| 4
| | 4
| 4
| | 3
| 3
| | 4
| 4
| *
|-
|-
| | 4
| 4
| | 4
| 4
| | 3
| 3
| | 4
| 4
| | 4
| 4
| | 3
| 3
|  
|-
|-
| | 3
| 3
| | 4
| 4
| | 4
| 4
| | 3
| 3
| | 4
| 4
| | 4
| 4
|  
|}
<nowiki />* Audio example:
{| class="wikitable"
|-
| [[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"
|-
|-
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
|-
|-
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
|-
|-
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 1
| 1
| | 3
| 3
| | 3
| 3
|}
|}


-----
=== 16 notes MOS ===
 
{| class="wikitable"
=[[Magic|Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]]=
|-
 
| 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1
===7 notes MOS, [[3L_4s|3L+4s (mosh)]]===
|}


== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==
=== 7 notes MOS, [[3L 4s|3L&nbsp;4s (Mosh)]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
|-
|-
| | 6
| 6
| | 1
| 1
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
|-
|-
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
|-
|-
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 1
| 1
| | 6
| 6
| | 1
| 1
|-
|-
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 1
| 1
| | 6
| 6
|-
|-
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 6
| 6
| | 1
| 1
| | 1
| 1
|}
|}


===10 notes MOS, [[3L_7s|3L+7s (fair mosh)]]===
=== 10 notes MOS, [[3L 7s|3L&nbsp;7s (Sephiroid)]] ===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
|-
|-
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
|-
|-
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
|-
|-
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| | 1
| 1
| | 1
| 1
|}
|}


===13 notes MOS, [[3L_10s|3L+10s]]===
===13 notes MOS, [[3L 10s|3L&nbsp;10s]]===
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
|-
|-
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
|-
|-
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
|-
|-
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
|-
|-
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| | 1
| 1
| | 1
| 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:22edo]]
[[Category:catalog]]
[[Category:Lists of scales]]
[[Category:edo]]
[[Category:Listen]]
[[Category:listen]]
[[Category:Modes]]
[[Category:modes]]
[[Category:Modal harmony]]
[[Category:theory]]
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