22edo modes: Difference between revisions

BudjarnLambeth (talk | contribs)
m Removed the todo:cleanup tag I added, because I've got this page back to being as clean as it was before my edits.
no clue why the old mos names are still here, fixed them
 
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== [[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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|-
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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]]
|}
|}


==== MODMOS of 7 notes MOS ====
==== 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


* Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7 4 3 3 3 3 2 4
=== 8 notes MOS, [[7L 1s|7L&nbsp;1s (Pine)]] ===
* Porcupine bright major #6 #7 - Porcupine[7] 6|0 #6 #7 - 4 3 3 3 4 3 2
* Porcupine bright major #7 - Porcupine[7] 6|0 #7 - 4 3 3 3 3 4 2
* Porcupine bright minor #2 - Porcupine[7] 4|2 #2 4 2 4 3 3 3 3 (mode of bright major #7)
* Porcupine dark minor #2 - Porcupine[7] 3|3 #2 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
 
=== 8 notes MOS, [[7L_1s|7L+1s (Grumpy octatonic)]] ===
 
{| class="wikitable"
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|-
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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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== [[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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|-
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|}


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


=== 14 notes MOS, 8L+6s ===
=== 14 notes MOS, 8L&nbsp;6s ===
 
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{| class="wikitable"
|-
|-
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== [[Superpyth]] ==
== [[Superpyth]] ==
 
=== 5 notes MOS, [[2L 3s|2L&nbsp;3s (Pentic)]] ===
=== 5 notes MOS, [[2L 3s|2L+3s (classic pentatonic)]] ===
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


=== 7 notes MOS, [[5L_2s|5L+2s (diatonic)]]===
=== 7 notes MOS, [[5L 2s|5L&nbsp;2s (Diatonic)]]===


{| class="wikitable"
{| class="wikitable"
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| Locrian
| Locrian
|}
|}
==== 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


==== MODMOS of 7 notes MOS ====
==== 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


* Superpyth double harmonic major - Superpyth[7] 5|1 b2 b6 - 1 7 1 4 1 7 1
==== Subsets of 7 notes MOS ====
* Superpyth harmonic major - Superpyth[7] 5|1 b6 - 4 4 1 4 1 7 1 (inverse of harmonic minor)
* Manohari – 5 4 4 4 1 4
* Superpyth harmonic minor - Superpyth[7] 2|4 #7 - 4 1 4 4 1 7 1
* Shailaja – 5 8 1 4 4
* Superpyth melodic minor - Superpyth[7] 5|1 b3 - 4 1 4 4 4 4 1
* Subminor hexatonic – 4 1 4 4 5 4
 
=== 12 notes MOS, [[5L_7s|5L+7s]]===


=== 12 notes MOS, [[5L 7s|5L&nbsp;7s (P-Chromatic)]]===
{| class="wikitable"
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|-
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| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
|}
|}
==[[Pajara]]==


===10 notes===
==== Subsets of 17 notes MOS ====
"Symmetrical" modes are MOS, [[2L_8s|2L+8s (Rice decatonic)]]; "Pentachordal" modes are not MOS.
* Subminor Blues – 5 4 2 2 5 4
 
== [[Pajara]]/[[Srutal]]/[[Pajarous]] ==
=== 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.)
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)
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|-
|-
| 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
|*
| *
|-
|-
| 2 2 3 2 2 2 2 3 2 2
| 2 2 3 2 2 2 2 3 2 2
|Static Symmetrical Major
| Static Symmetrical Major
|  
|  
|-
|-
| 2 3 2 2 2 2 2 3 2 2
| 2 3 2 2 2 2 2 3 2 2
|Alternate Pentachordal Major
| Alternate Pentachordal Major
|
|  
|-
|-
|2 3 2 2 2 2 3 2 2 2
| 2 3 2 2 2 2 3 2 2 2
|Dynamic Symmetrical Major
| Dynamic Symmetrical Major
|
|  
|-
|-
|2 2 2 3 2 2 2 2 2 3
| 2 2 2 3 2 2 2 2 2 3
|Standard Pentachordal Minor
| Standard Pentachordal Minor
|  
|  
|-
|-
| 2 2 2 3 2 2 2 2 3 2
| 2 2 2 3 2 2 2 2 3 2
|Static Symmetrical Minor
| Static Symmetrical Minor
|  
|  
|-
|-
| 2 2 2 2 3 2 2 2 3 2
| 2 2 2 2 3 2 2 2 3 2
|Alternate Pentachordal Minor
| Alternate Pentachordal Minor
|
|  
|-
|-
|2 2 2 2 3 2 2 2 2 3
| 2 2 2 2 3 2 2 2 2 3
|Dynamic Symmetrical Minor
| Dynamic Symmetrical Minor
|
|  
|}
|}
<nowiki>*</nowiki>Audio example:
<nowiki />* Audio example:
{| class="wikitable"
{| class="wikitable"
|-
|-
|[[File:pajarastandardpentachordmajor22edo.mp3]]
| [[File:pajarastandardpentachordmajor22edo.mp3]]
|}
|}


==== MODMOS of 10 notes MOS ====
==== MODMOS of 10 notes MOS ====
* Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2
* Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2


===[[Diaschismic_family#Srutal|Srutal]]/Pajara/[[Diaschismic_family#Pajara-Pajarous|Pajarous]][12] ===
=== 12 notes MOS, [[10L 2s|10L&nbsp;2s (Telluric)]] ===
 
===12 notes MOS, [[2L_8s|10L+2s]]===
 
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==== MODMOS of 12 notes MOS ====
==== 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
* 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]]==
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==
 
=== 6 notes MOS, [[4L 2s|4L&nbsp;2s (Citric)]] ===
===6 notes MOS, [[4L_2s|4L+2s (bicycle)]]===
 
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|}


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


===14 notes MOS, [[4L_10s|4L+10s]]===
=== 14 notes MOS, [[4L 10s|4L&nbsp;10s]] ===
 
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{| class="wikitable"
{| class="wikitable"
|-
|-
|2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1
| 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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| *
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|  
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|
|  
|}
|}
<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)]] ===
 
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|}
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==[[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]]==
== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==
 
=== 7 notes MOS, [[3L 4s|3L&nbsp;4s (Mosh)]] ===
===7 notes MOS, [[3L_4s|3L+4s (mosh)]]===
 
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|}


===10 notes MOS, [[3L_7s|3L+7s (fair mosh)]]===
=== 10 notes MOS, [[3L 7s|3L&nbsp;7s (Sephiroid)]] ===
 
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|1
| 1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 1
|5
| 5
|1
| 1
| 1
| 5
| 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
|4
|1
|1
|1
|4
|1
|1
|1
| 1
| 1
|4
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 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
|4
|1
| 1
| 1
|1
|4
|1
|1
|1
| 4
| 4
|1
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 1
Line 1,497: Line 1,474:
{| class="wikitable"
{| class="wikitable"
|-
|-
|3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
| 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
|}
|}


Line 1,503: Line 1,480:
{| class="wikitable"
{| class="wikitable"
|-
|-
|1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
|}
|}


== Marvel ==
== Marvel ==
 
* [[Marvel double harmonic major]] (subset of Pajara[12] and pentachordal decatonic): 2 5 2 4 2 5 2
* [[Marvel double harmonic major]] - 2 5 2 4 2 5 2
* Marvel augmented nonatonic: 2 3 2 2 4 2 2 3 2
* Marvel detempering of Negri[9] and August[9] - 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 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 ==
== 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


* "just" harmonic major - 4 3 2 4 2 5 2
== Others ==
* "just" harmonic minor - 4 2 3 4 2 5 2
* [[2.3.7.11 4-SN octatonic]]: 3 2 3 5 3 2 3 1
* "just" major pentatonic - 4 3 6 3 6
* [[Blackdye]] / [[Syntonic dipentatonic]]: 1 3 2 3 1 3 2 3 1 3
* "just" melodic minor - 4 2 3 4 3 4 2
* 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
* "just" minor pentatonic (inverse of "just" major pentatonic) - 6 3 4 6 3
* 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
* tetrachordal major, Sa grama - 4 3 2 4 4 3 2
* enharmonic trichord octave species: 2 7 4 2 7, 7 2 4 7 2
* inverse of tetrachordal major, "just"/tetrachordal minor - 4 2 3 4 2 3 4
* [[Freiporc]]
* Zarlino/Ptolemy diatonic, "just" major, Ma grama - 4 3 2 4 3 4 2
* Kai Lugheidh's mode: 2 5 3 3 5 2 2
* inverse of Zarlino/Ptolemy diatonic, natural minor - 4 2 3 4 2 4 3
* [[Magnetosphere scale]]: 2 5 6 4 5 - ''approximated from [[Hexany 1728]]''
 
* Mushroom: 5 4 4 1 8 – ''approximated from [[30afdo]]''
==Others==
* Starship: 2 5 2 4 5 4 – ''approximated from [[68afdo]]''
* Volcanic: 2 5 6 5 4 – ''approximated from [[16afdo]]''


* [[2.3.7.11 4-SN octatonic]] - 3 2 3 5 3 2 3 1
{{Navbox scale gallery}}
* [[Aurora scale]] - 2 5 6 4 5
* [[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
* Kai Lugheidh's mode - 2 5 3 3 5 2 2


[[Category:22edo]]
[[Category:22edo]]
Line 1,538: Line 1,520:
[[Category:Listen]]
[[Category:Listen]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:modal harmony]]
[[Category:Modal harmony]]