22edo modes: Difference between revisions

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BudjarnLambeth (talk | contribs)
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Moved the "scales" section from the "22edo" page over to this page. In the process, that made this page messier, but I judged that was a necessary evil in order to clean up the main page. I will return to this page and clean it up once the main 22edo page is under control. In the mean time I have tagged this page "to:do: cleanup".
BudjarnLambeth (talk | contribs)
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18,215 edits
m Tidied things up to make this page a bit more presentable, since I realised I bit off more than I could chew with the main 22edo page and it's going to take a while
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== [[Superpyth]] ==
== [[Superpyth]] ==


=== 7 notes MOS, [[5L_2s|5L+2s (diatonic)]] ===
=== 5 notes MOS, [[2L 3s|2L+3s (classic pentatonic)]] ===
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=== 7 notes MOS, [[5L_2s|5L+2s (diatonic)]]===


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=== 5-or7-limitSuperpyth/11-limitSuprapyth[5] ===
=== 12 notes MOS, [[5L_7s|5L+7s]]===
 
==== 5 notes MOS, [[2L_3s|2L+3s (classic pentatonic)]] ====
 
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=== 5-or7-limitSuperpyth/11-limitSuprapyth[12] ===
 
==== 12 notes MOS, [[5L_7s|5L+7s]] ====


{| class="wikitable"
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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]


* Superpyth[17] - hyperchromatic - 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
=== 17 notes MOS ===
 
{| class="wikitable"
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| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
|}
==[[Pajara]]==
==[[Pajara]]==


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* Doublewide[18] - 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 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]]==
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*Astrology[16] - 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1
=== 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]]==
==[[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]]==
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*Magic[16] - 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
=== 16 notes MOS ===
*Magic[19] - 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
{| 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
|}


==Non-MOS==
==Non-MOS==

Revision as of 10:37, 20 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

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

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)

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

17 notes MOS

1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1

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

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 (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

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 (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

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

Non-MOS

  • Kai Lugheidh's mode - 2 5 3 3 5 2 2
  • Aurora scale - 2 5 6 4 5
  • Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 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
  • 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
  • tetrachordal major, Sa grama - 4 3 2 4 4 3 2
  • inverse of tetrachordal major, "just"/tetrachordal minor - 4 2 3 4 2 3 4
  • "just" major pentatonic - 4 3 6 3 6
  • "just" minor pentatonic (inverse of "just" major pentatonic) - 6 3 4 6 3
  • Porcupine bright major #7 - Porcupine[7] 6|0 #7 - 4 3 3 3 3 4 2
  • Porcupine bright major #6 #7 - Porcupine[7] 6|0 #6 #7 - 4 3 3 3 4 3 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 bright harmonic 11th mode - Porcupine[7] 6|0 b7 4 3 3 3 3 2 4
  • 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 melodic minor - Superpyth[7] 5|1 b3 - 4 1 4 4 4 4 1
  • Superpyth double harmonic major - Superpyth[7] 5|1 b2 b6 - 1 7 1 4 1 7 1
  • "just" harmonic minor - 4 2 3 4 2 5 2
  • "just" harmonic major - 4 3 2 4 2 5 2
  • "just" melodic minor - 4 2 3 4 3 4 2
  • Marvel double harmonic major - 2 5 2 4 2 5 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
  • Enharmonic trichord octave species - 2 7 4 2 7, 7 2 4 7 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
  • Syntonic dipentatonic / blackdye - 1 3 2 3 1 3 2 3 1 3
  • Marvel hexatonic - 5 2 6 2 5 2
  • 2 3 2 2 4 2 2 3 2 (Marvel detempering of Negri[9] and August[9])
  • 2.3.7.11 4-SN octatonic - 3 2 3 5 3 2 3 1
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