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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== [[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
|}
|}
=== MODMOS of Porcupine ===
* 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
* Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2
* Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7 4 3 3 3 3 2 4
* 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)


== [[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)]] ===
=== 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"
{| class="wikitable"
|-
|-
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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]]
|}
|}


===[[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"
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|}
|}
==[[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"
|-
|-
|5
| 5
|1
| 1
|5
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|-
|-
|1
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| 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"
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| 1
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|-
|-
| 1
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|-
|-
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| 1
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| 1
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| 4
|1
| 1
| 4
| 1
| 1
|}
|}


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


Line 1,018: Line 1,008:
{| 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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| 3
| 3
| 4
| 4
|4
| 4
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| 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>*</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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|}
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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)]]===
 
{| class="wikitable"
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| 6
| 6
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|1
| 1
|}
|}


===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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|-
|1
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===13 notes MOS, [[3L_10s|3L+10s]]===
===13 notes MOS, [[3L 10s|3L&nbsp;10s]]===
 
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==Others==
== 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]]''


* [[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
* [[Marvel double harmonic major]] - 2 5 2 4 2 5 2
* [[Marvel hexatonic]] - 5 2 6 2 5 2
* [[Syntonic dipentatonic]] / [[blackdye]] - 1 3 2 3 1 3 2 3 1 3
* 2 3 2 2 4 2 2 3 2 (Marvel detempering of Negri[9] and August[9])
* 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
* inverse of tetrachordal major, "just"/tetrachordal minor - 4 2 3 4 2 3 4
* inverse of Zarlino/Ptolemy diatonic, natural minor - 4 2 3 4 2 4 3
* Kai Lugheidh's mode - 2 5 3 3 5 2 2
* tetrachordal major, Sa grama - 4 3 2 4 4 3 2
* Zarlino/Ptolemy diatonic, "just" major, Ma grama - 4 3 2 4 3 4 2
* "just" harmonic major - 4 3 2 4 2 5 2
* "just" harmonic minor - 4 2 3 4 2 5 2
* "just" major pentatonic - 4 3 6 3 6
* "just" melodic minor - 4 2 3 4 3 4 2
* "just" minor pentatonic (inverse of "just" major pentatonic) - 6 3 4 6 3


[[Category:22edo]]
[[Category:22edo]]
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[[Category:Listen]]
[[Category:Listen]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:modal harmony]]
[[Category:Modal harmony]]
[[Category:Todo:cleanup]]

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


View • Talk • EditScale galleries
JI scales 12-tone JI scales • Combination product sets • CS scales • Maximal harmony epimorphic scales • MOS transversals • Non-octave JI scales • Wakalixes • Z-polygon transversals • Other JI scales
Full list: Category:Just intonation scales
Tempered scales 12-tone tempered scales • Clippers • Essentially tempered scales • Marvel woo scales • MOS cradle scales • Non-octave tempered scales • Scalesmith systematic scales • Other tempered scales
Full list: Category:Tempered scales
ET subsets 11edo modes, 19edo modes, 22edo modes, 24edo scales, 31edo modes
All other scale gallery pages are included in Category:Lists of scales
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