22edo modes: Difference between revisions

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m →Subsets of 7 notes MOS: Corrected spelling from "aolian" to "aeolian"
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
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.
Line 46: Line 46:
|-
|-
| 3 2 3 2 3 2 3 2 2
| 3 2 3 2 3 2 3 2 2
| [[file:OrwellNonatonic22edo.mp3]]
| *
|-
|-
| 2 3 2 3 2 3 2 2 3
| 2 3 2 3 2 3 2 2 3
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| 2 2 3 2 3 2 3 2 3
| 2 2 3 2 3 2 3 2 3
|
|
|}
<nowiki>*</nowiki>Audio example:
{| class="wikitable"
|-
|[[file:OrwellNonatonic22edo.mp3]]
|}
|}


=== 13 notes MOS, [[9L_4s|9L+4s]] ===
=== 13 notes MOS, [[9L_4s|9L+4s]]===


{| class="wikitable"
{| class="wikitable"
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| 2
| 2
|}
|}
== [[Porcupine]] ==
== [[Porcupine]] ==


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| 3 3 3 4 3 3 3
| 3 3 3 4 3 3 3
| symmetric minor ("dorian")
| symmetric minor ("dorian")
| [[File:porcupinesymmetricminor22edo.mp3]]
| *
|-
|-
| 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
| [[File:porcupineotonalmajor22edo.mp3]]
| #
|}
<nowiki>*</nowiki>Audio example:
{| class="wikitable"
|-
|[[File:porcupinesymmetricminor22edo.mp3]]
|}
<nowiki>#</nowiki>Audio example:
{| class="wikitable"
|-
|[[File:porcupineotonalmajor22edo.mp3]]
|}
|}


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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]] ==


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[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]
== [[Pajara]] ==
== [[Pajara]] ==


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


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| 2
| 2
|}
|}
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==


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| 1
| 1
|}
|}
== [[Magic_family#Astrology|Astrology]] ==
== [[Magic_family#Astrology|Astrology]] ==
=== 6 notes MOS, [[4L_2s|4L+2s (bicycle)]] ===
=== 6 notes MOS, [[4L_2s|4L+2s (bicycle)]] ===


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| 3
| 3
| 4
| 4
|[[File:Astrology6 22edo.mp3]]
|*
|-
|-
| 4
| 4
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| 4
| 4
|
|
|}
<nowiki>*</nowiki>Audio example:
{| class="wikitable"
|-
|[[File:Astrology6 22edo.mp3]]
|}
|}


Line 1,084: Line 1,097:
| 3
| 3
|}
|}
== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==
== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==


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| 1
| 1
| 1
| 1
|}
== Non-MOS ==
{| class="wikitable"
|-
| Kai Lugheidh's mode
| 2 5 3 3 5 2 2
|-
| [[Aurora scale|Aurora]] scale
| 2 5 6 4 5
|}
|}


Revision as of 06:59, 18 April 2023

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 (Grumpy pentatonic)

2 5 5 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 (fair bug)

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 (Happy heptatonic)

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:

8 notes MOS, 7L+1s (Grumpy octatonic)

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

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 (Rice hexatonic)

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

8 notes MOS, 6L+2s (Biggie octatonic)

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

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

Subsets of 7 notes MOS

5 4 4 4 1 4 Manohari (subset of Dorian)
5 8 1 4 4 Shailaja (subset of Aeolian)
4 1 4 4 5 4 Subminor Hexatonic (subset of Aeolian)

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

5 notes MOS, 2L+3s (classic pentatonic)

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

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

12 notes MOS, 5L+7s

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

Pajara

10 notes

"Symmetrical" modes are MOS, 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.)

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:

Srutal/Pajara/Pajarous[12]

12 notes MOS, 10L+2s

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

Doublewide/Fleetwood

6 notes MOS, 4L+2s (bicycle)

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

10 notes MOS, 4L+6s (fair bicycle)

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

Astrology

6 notes MOS, 4L+2s (bicycle)

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 (unfair bicycle)

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

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 (fair mosh)

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

Non-MOS

Kai Lugheidh's mode 2 5 3 3 5 2 2
Aurora scale 2 5 6 4 5
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