View source for 22edo/Vector's approach

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This page documents Vector's info on 22EDO, for the Tuning of the Year project.

== Notes and intervals ==

=== Intro ===
22edo contains 22 notes per octave, and thus 22 distinct intervals within the octave to use in your music. 

'''[[Zarlino]] (intense diatonic)''' is the basic diatonic for 22edo, as with [[User:VectorGraphics/Vector's introduction to 15edo/Intervals|15edo]], so that the same [[porcupine]]-based notation may be used for both. The scale has two different types of whole tones, and was chosen so that the basic major and minor triads would represent 4:5:6 and its minor counterpart. 

However, the main scale that will be used is '''jaric (pajara[10])''', which has 10 interval names taken from [[Leriendil's decatonic system]] mixed with standard interval names.

Both scales have the same chroma size (and moreso, thirds, fourths, fifths, and sixths are very similar between the systems, with an allowance for the special notation of wolf intervals in diatonic), making interval logic pretty easy to apply to both. 

{| class="wikitable"
!Name
!Type
!Degree
!Cents
![[Latitude]]
!Approximate Ratios
!Note (Diatonic)
!Note (Pajara)
|-
|perfect unison
|'''Perfect consonance'''
|0
|0
|(unison)
|1/1
|C
|0
|-
|augmented unison
|Primary dissonance
|1
|54.5
| -
|25/24, 81/80, 36/35, 33/32
|C#
|0#
|-
|minor second
|Primary dissonance
|2
|109.1
| -
|16/15, 15/14
|Db
|1
|-
|major second
|Primary dissonance
|3
|163.6
| -
|12/11, 11/10, 10/9
|D
|1#
|-
|minor unilatus
|'''Secondary consonance'''
|4
|218.2
|extraslendric (35°)
|9/8, 8/7
|D#
|2
|-
|major unilatus
|'''Secondary consonance'''
|5
|272.7
|subminor (21°)
|7/6
|Ebb
|2#
|-
|minor third
|'''Imperfect consonance'''
|6
|327.3
|supraminor (7°)
|6/5, 11/9
|Eb
|3b
|-
|major third
|'''Imperfect consonance'''
|7
|381.8
|submajor (7°)
|5/4
|E
|3
|-
|diminished fourth
|Secondary dissonance
|8
|436.4
|supermajor (21°)
|9/7, 14/11
|E#
|4b
|-
|perfect fourth
|'''Perfect consonance'''
|9
|490.9
|extraslendric (35°)
|4/3
|F
|4
|-
|augmented fourth / diminished median
|Secondary dissonance
|10
|545.5
| -
|15/11, 11/8
|F#
|4#
|-
|perfect median
|(See note)
|11
|600.0
| -
|10/7, 7/5
|Gbb
|5
|-
|diminished fifth / augmented median
|Secondary dissonance
|12
|654.5
| -
|16/11, 22/15
|Gb
|6b
|-
|perfect fifth
|'''Perfect consonance'''
|13
|709.1
|(fifth)
|3/2
|G
|6
|-
|augmented fifth
|Secondary dissonance
|14
|763.6
|
|11/7, 14/9
|G#
|7b
|-
|minor sixth
|'''Imperfect consonance'''
|15
|818.2
|
|8/5
|Ab
|7
|-
|major sixth
|'''Imperfect consonance'''
|16
|872.7
|
|18/11, 5/3
|A
|7#
|-
|minor antilatus
|'''Secondary consonance'''
|17
|927.3
|
|12/7
|A#
|8b
|-
|major antilatus
|'''Secondary consonance'''
|18
|981.8
|
|7/4, 16/9
|Bbb
|8
|-
|minor seventh
|Secondary dissonance
|19
|1036.4
|
|9/5, 20/11, 11/6
|Bb
|8#
|-
|major seventh
|Secondary dissonance
|20
|1090.9
|
|28/15, 15/8
|B
|9
|-
|diminished octave / augmented seventh
|Primary dissonance
|21
|1145.5
|
|48/25, 64/33, 35/18
|B#
|9#
|-
|perfect octave
|'''Perfect consonance'''
|22
|1200.0
|
|2/1
|C
|0
|}
While the perfect median is, by itself, a discordant interval (as it is the same interval as the 12edo tritone), its key structural properties in 22edo, as well as being both 7/5 and 10/7 and thus found in the harmonic 4:5:6:7 chord, elevate it to being a form of consonance in certain contexts, especially in harmonic tetrads.

=== Just intonation ===
Microtonal theorists and composers like to use just intonation as a basis for their theory. Meaning that they think of harmony in terms of either just intonation or some abstraction away from it. Just intonation is the tuning where all intervals are pure integer ratios, which is easy to tune, and provides a distinct harmonious sound. The most important ratios of just intonation are 2/1, 3/2, and 4/3, along with to a lesser extent 5/3 and 5/4. These are the ratios that are most likely to be picked up by historical musical cultures, and explains the convergence on pentatonic and heptatonic scale forms. 

However, just intonation has caught modern microtonal theorists' attention for a different reason: the idea of stacking (multiplying or dividing) "prime" intervals to obtain more complex intervals. Stacking is multiplying, but it looks like adding on paper because pitch is logarithmic. 

=== The decatonic scale ===
The 10-form (represented as pajara[10] here) is arguably a more intuitive categorization scheme for intervals than the 7-form we're used to. While most microtonal systems simply add new accidentals and interval qualities, it's best to think of 22edo as adding three distinct interval ordinal categories "in between the gaps" of the standard 7.

==== Unilatus (1lt) ====
From the Latin for "carried once", this refers to the separation of roughly one 5edo-step, or two decatonic steps, and sits between the standard seconds and thirds. The minor unilatus in 22edo is the 4-step interval representing 8/7 and 9/8. Meanwhile, the major unilatus represents 7/6. Two unilati make a fourth, just as two thirds make a fifth.

==== Antilatus (4lt) ====
The antilatus is the separation of roughly four 5edo-steps, or eight decatonic steps, and sits roughly between the standard sixths and sevenths. The major antilatus represents 7/4, and the minor antilatus represents 12/7. The antilatus essentially gives the simplest 7-limit intervals their own interval category, much as the simplest 5-limit intervals do, properly cementing 22edo as a 7-limit system.

==== Median (Med) ====
The perfect median is the interval of exactly 600 cents - that is, the perfect semioctave. The median splits the octave in two, reflecting the tritone as an intuitive interval category even in heptatonic systems, where the fourth and the fifth intersect to create it. But here, it is its own degree. Antilati are separated from thirds by the perfect median, and same with sixths from unilati. The median also solves the pesky 14/11 problem in heptatonic schemes: either 11/8 is a median, in which case the separation between it and a 7/4 antilatus (that is, 14/11) is a third, or it is a fourth, in which case 14/11 is also a fourth - however, the diminished fourth is the basic decatonic "imperfect" fourth, rather than the augmented fourth, so it is less of a problem.

=== Interval arithmetic ===
Interval arithmetic can be applied to decatonic intervals. Here is an isomorphic interval table to aid with it.
{| class="wikitable"
|+
!Degree
! colspan="5" |Quality
|-
!
!-2
!-1
!0
!1
!2
|-
!1sn
!-
|P1sn
|A1sn
|AA1sn
|3A1sn
|-
!2nd
|d2nd
|m2nd
|M2nd
|A2nd
|AA2nd
|-
!1lt
|d1lt
|m1lt
|M1lt
|A1lt
|AA1lt
|-
!3rd
|d3rd
|m3rd
|M3rd
|A3rd
|AA3rd
|-
!4th
|dd4th
|d4th
|P4th
|A4th
|AA4th
|-
!Med
|ddMed
|dMed
|PMed
|AMed
|AAMed
|-
!5th
|dd5th
|d5th
|P5th
|A5th
|AA5th
|-
!6th
|dd6th
|d6th
|m6th
|M6th
|A6th
|-
!4lt
|dd4lt
|d4lt
|m4lt
|M4lt
|A4lt
|-
!7th
|dd7th
|d7th
|m7th
|M7th
|A7th
|-
!8ve
|3d8ve
|dd8ve
|d8ve
|P8ve
|A8ve
|}
Some key rules to keep track of:

* 4th + 1lt of opposite quality (perfect 4th + minor 1lt, diminished 4th + major 1lt) = perfect 5th
* 3rd + 3rd of opposite quality = perfect 5th
* Perfect Med + 2nd = 5th (minor 2nd -> perfect 5th, major 2nd -> augmented 5th)
* Perfect Med + 1lt = 6th of same quality
* Perfect Med + 3rd = 4lt of same quality (e.g. major 3rd -> major 4lt)
* Perfect Med + 4th = 7th (diminished 4th -> minor 7th, perfect 4th -> major 7th)
* Perfect Med + Med of opposite quality = perfect 8ve

Note that as a rule, the 3-letter abbreviation for an interval is always used. Otherwise, for example, "4" would be ambiguous between 4lt (antilatus) and 4th (fourth).

== Triads and tetrads ==

=== Triads bounded by P5th ===

==== Tertian triads ====
There are two types of tertian triads where the bounding interval is a perfect fifth, and the third is found in a pajara scale.
{| class="wikitable"
|+
!Name
!1
!2
!Bounding interval
!Edostep
!Chart
|-
|Major triad
|Major 3rd
|Minor 3rd
|Perfect 5th
|[0 7 13]
|█▒▒▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒▒▒█
|-
|Minor triad
|Minor 3rd
|Major 3rd
|Perfect 5th
|[0 6 13]
|█▒▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒█
|}

==== Unilatal triads ====
There are four types of triads where the bounding interval is a perfect 5th, and the middle interval is either a unilatus or a fourth found in a pajara scale. These are suspended triads, and notably, the diatonic "supermajor" and "subminor" thirds are categorized under this group.
{| class="wikitable"
!Name
!1
!2
!Bounding interval
!Edostep
!Chart
|-
|Sus P4th triad
|Perfect 4th
|Minor 1lt
|Perfect 5th
|[0 9 13]
|█▒▒▒▒▒▒▒▒▓▒▒▒▓▒▒▒▒▒▒▒▒█
|-
|Sus d4th triad
|Diminished 4th
|Major 1lt
|Perfect 5th
|[0 8 13]
|█▒▒▒▒▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒▒█
|-
|Sus M1lt triad
|Major 1lt
|Diminished 4th
|Perfect 5th
|[0 5 13]
|█▒▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒█
|-
|Sus m1lt triad
|Minor 1lt
|Perfect 4th
|Perfect 5th
|[0 4 13]
|█▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒█
|}

=== Tetrads with P5th ===

==== Harmonic tetrads ====
These represent the conventional structure of a 4:5:6:7 harmonic tetrad, but generalized such that any middle interval (and thus any top interval) can be used. They take the form of a fifth-bounded triad, with an additional note a perfect median above the middle note. This is the characteristic kind of chord found in pajara temperament, and can also be thought of the stacking of a fifth-bounded triad and a fourth-bounded triad. Non-tertian versions are not shown. 
{| class="wikitable"
!Name
!Type
!1
!2
!3
!4
!Bounding interval 1
!Bounding interval 2
!Bounding interval 3
!Edostep
!Chart
|-
|Major harmonic tetrad
|Tertian
|Major 3rd
|Minor 3rd
|Major 1lt
|Minor 1lt
|Perfect 5th
|Major 4lt
|Perfect 8ve
|[0 7 13 18]
|█▒▒▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▓▒▒▒█
|-
|Minor harmonic tetrad
|Tertian
|Minor 3rd
|Major 3rd
|Minor 1lt
|Major 1lt
|Perfect 5th
|Minor 4lt
|Perfect 8ve
|[0 6 13 17]
|█▒▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▓▒▒▒▒█
|}

==== Diatonic tetrads ====
These represent the conventional structure of an 8:10:12:15 diatonic major tetrad, but generalized such that any middle interval (and thus any top interval) can be used. They take the form of a fifth-bounded triad, with an additional note a perfect fifth above the middle note. The sus4 diatonic tetrad is the same as the triad version up to inversion.
{| class="wikitable"
!Name
!Type
!1
!2
!3
!Bounding interval 1
!Bounding interval 2
!Edostep
!Chart
|-
|Sus d4th diatonic tetrad
|Latal
|Diminished 4th
|Major 1lt
|Diminished 4th
|Perfect 5th
|Diminished 8ve
|[0 8 13 21]
|█▒▒▒▒▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒▓█
|-
|Major diatonic tetrad
|Tertian
|Major 3rd
|Minor 3rd
|Major 3rd
|Perfect 5th
|Major 7th
|[0 7 13 20]
|█▒▒▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒▓▒█
|-
|Minor diatonic tetrad
|Tertian
|Minor 3rd
|Major 3rd
|Minor 3rd
|Perfect 5th
|Minor 7th
|[0 6 13 19]
|█▒▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒▓▒▒█
|-
|Sus M1lt diatonic tetrad
|Latal
|Major 1lt
|Diminished 4th
|Major 1lt
|Perfect 5th
|Major 4lt
|[0 5 13 18]
|█▒▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒▓▒▒▒█
|-
|Sus m1lt diatonic tetrad
|Latal
|Minor 1lt
|Perfect 4th
|Minor 1lt
|Perfect 5th
|Minor 4lt
|[0 4 13 17]
|█▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒▓▒▒▒▒█
|}

=== Other triads ===
Some of these have names based on temperaments, provided by Stalefleas.
{| class="wikitable"
!Name
!Edostep
!Chart
|-
| -
|[0 4 8]
|█▒▒▒▓▒▒▒▓▒▒▒▒▒▒▒▒▒▒▒▒▒█
|-
| -
|[0 4 9]
|█▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒▒▒▒▒▒█
|-
| -
|[0 4 10]
|█▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒▒▒▒▒▒█
|-
| -
|[0 4 11]
|█▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒▒▒█
|-
| -
|[0 4 12]
|█▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒▒█
|-
| -
|[0 5 9]
|█▒▒▒▒▓▒▒▒▓▒▒▒▒▒▒▒▒▒▒▒▒█
|-
|Orwell triad
|[0 5 10]
|█▒▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒▒▒▒▒█
|-
|Utonal diminished triad
|[0 5 11]
|█▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒▒▒▒▒█
|-
|Orwell minor triad
|[0 5 12]
|█▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒▒█
|-
| -
|[0 5 14]
|█▒▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒█
|-
| -
|[0 6 10]
|█▒▒▒▒▒▓▒▒▒▓▒▒▒▒▒▒▒▒▒▒▒█
|-
|Otonal diminished triad
|[0 6 11]
|█▒▒▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒▒▒▒█
|-
|Keemic triad / diminished triad
|[0 6 12]
|█▒▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒▒▒▒█
|-
|Sensaminor triad
|[0 6 14]
|█▒▒▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒█
|-
| -
|[0 6 15]
|█▒▒▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒▒▒▒█
|-
| -
|[0 7 11]
|█▒▒▒▒▒▒▓▒▒▒▓▒▒▒▒▒▒▒▒▒▒█
|-
|Orwell major triad
|[0 7 12]
|█▒▒▒▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒▒▒█
|-
|Magic triad / augmented triad
|[0 7 14]
|█▒▒▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒▒▒█
|-
|Magic minor triad
|[0 7 15]
|█▒▒▒▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒▒▒█
|-
| -
|[0 7 16]
|█▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒▒▒█
|-
| -
|[0 8 12]
|█▒▒▒▒▒▒▒▓▒▒▒▓▒▒▒▒▒▒▒▒▒█
|-
|Sensamajor triad
|[0 8 14]
|█▒▒▒▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒▒█
|-
|Magic major triad
|[0 8 15]
|█▒▒▒▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒▒█
|-
|Sensamagic triad
|[0 8 16]
|█▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒▒█
|-
| -
|[0 8 17]
|█▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒▒█
|-
| -
|[0 9 14]
|█▒▒▒▒▒▒▒▒▓▒▒▒▒▓▒▒▒▒▒▒▒█
|-
| -
|[0 9 15]
|█▒▒▒▒▒▒▒▒▓▒▒▒▒▒▓▒▒▒▒▒▒█
|-
| -
|[0 9 16]
|█▒▒▒▒▒▒▒▒▓▒▒▒▒▒▒▓▒▒▒▒▒█
|-
| -
|[0 9 17]
|█▒▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▓▒▒▒▒█
|-
|Archytas triad
|[0 9 18]
|█▒▒▒▒▒▒▒▒▓▒▒▒▒▒▒▒▒▓▒▒▒█
|}

== Scales ==

=== Symmetric scale ===
The primary scale of 22edo, as mentioned previously, is the pajara[10] decatonic scale, represented as █▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒█. The modes of this scale (in order of both brightness and rotation) are as follows.
{| class="wikitable"
!Name
!Chart
!Unilatus
!Third
!Fourth
!Fifth
!Antilatus
!Seventh
!Mode on fifth
!Mode on fourth
|-
| Lydian
|█▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒▒█
|minor
|minor
|dim
|perfect
|minor
|minor
|
|
|-
| Minor
|█▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒▒▓▒█
|minor
|minor
|perfect
|perfect
|minor
|major
|
|
|-
| Dorian
|█▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒█
|minor
|major
|perfect
|perfect
|major
|major
|
|
|-
| Major
|█▒▓▒▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒█
|major
|major
|perfect
|perfect
|major
|major
|
|
|-
| Locrian
|█▒▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒█
|major
|major
|perfect
|aug
|major
|major
|
|
|}
Note that minor and major are swapped compared to standard heptatonic modes.

=== Pentachordal scale ===
This scale is constructed from two identical "pentachords" and the semioctave. Unlike the symmetric scale, there are ten distinct modes of the pentachordal scale. Ordered by rotation, they are as follows:
{| class="wikitable"
!Name
!Chart
!Unilatus
!Third
!Fourth
!Fifth
!Antilatus
!Seventh
!Mode on fifth
!Mode on fourth
|-
| Bediyic
|█▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▒█
|minor
|minor
|dim
|perfect
|minor
|minor
|Hininic
| -
|-
| Skoronic
|█▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▒▓▒█
|minor
|minor
|dim
|perfect
|minor
|major
|Aujalic
| -
|-
| Moriolic
|█▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▒▓▒▓▒█
|minor
|minor
|perfect
|perfect
|major
|major
|Mielauic
|Hininic
|-
| Staimosic
|█▒▓▒▓▒▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒█
|minor
|major
|perfect
|perfect
|major
|major
|Prathuic
|Aujalic
|-
| Sebaic
|█▒▓▒▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒█
|major
|major
|perfect
|aug
|major
|major
| -
|Mielauic
|-
|Awanic
|█▒▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒█
|major
|major
|perfect
|aug
|major
|major
| -
|Prathuic
|-
|Hininic
|█▒▓▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒▓▒▒█
|minor
|minor
|perfect
|perfect
|minor
|minor
|Moriolic
|Bediyic
|-
|Aujalic
|█▒▓▒▓▒▒▓▒▓▒▓▒▓▒▓▒▓▒▒▓▒█
|minor
|major
|perfect
|perfect
|minor
|major
|Staimosic
|Skoronic
|-
|Mielauic
|█▒▓▒▒▓▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒█
|major
|major
|perfect
|perfect
|major
|major
|Sebaic
|Moriolic
|-
|Prathuic
|█▒▒▓▒▓▒▓▒▓▒▓▒▓▒▒▓▒▓▒▓▒█
|major
|major
|perfect
|perfect
|major
|major
|Awanic
|Staimosic
|}

=== Other scales ===
{| class="wikitable"
!Name
!Chart
!Notes
|-
|Diatonic
|█▒▒▓▒▒▓▒▒▓▒▒▒▓▒▒▓▒▒▓▒▒█
|Greek scale (equable diatonic), onyx, basic MOS of porcupine.
|-
| Diatonic
|█▒▓▒▒▒▓▒▒▓▒▒▒▓▒▓▒▒▒▓▒▒█
|Greek scale (intense diatonic). Zarlino rank-3 diatonic.
|-
|Diatonic
|█▒▓▒▒▓▒▒▒▓▒▒▒▓▒▓▒▒▓▒▒▒█
|Greek scale (soft or Didymian diatonic).
|-
| Diatonic
|█▓▒▒▒▓▒▒▒▓▒▒▒▓▓▒▒▒▓▒▒▒█
|Greek scale (Pythagorean or Archytas diatonic). Basic MOS of superpyth
|-
|Chromatic
|█▒▓▒▓▒▒▒▒▓▒▒▒▓▒▓▒▓▒▒▒▒█
|Greek scale (chromatic).
|-
|Chromatic
|█▓▒▒▓▒▒▒▒▓▒▒▒▓▓▒▒▓▒▒▒▒█
|Greek scale (Archytas or Pythagorean chromatic).
|-
|Chromatic
|█▒▓▓▒▒▒▒▒▓▒▒▒▓▒▓▓▒▒▒▒▒█
|Greek scale (Didymian chromatic).
|-
|Chromatic
|█▓▒▓▒▒▒▒▒▓▒▒▒▓▓▒▓▒▒▒▒▒█
|Greek scale (chromatic).
|-
|Enharmonic
|█▓▓▒▒▒▒▒▒▓▒▒▒▓▓▓▒▒▒▒▒▒█
|Greek scale (Archytas or Didymian enharmonic).
|-
|Pentatonic
|█▒▒▒▓▒▒▓▒▒▒▒▒▓▒▒▓▒▒▒▒▒█
|
|-
| Blackdye
|█▒▒▓▓▒▒▓▒▓▒▒▓▓▒▒▓▓▒▒▓▒█
|22edo analog of 15edo porcupine blackwood scale
|-
| Kee'ra
|█▒▓▓▒▒▓▒▒▓▒▓▒▓▒▓▓▒▓▒▒▒█
|The [[Chair scales|Chair of Mr. Bob]]. See [[User:VectorGraphics/Vector's introduction to 15edo/Scales|15edo scales]]
|-
| Diatonyx 2
|█▒▒▒▓▒▒▓▒▒▒▓▒▓▒▒▓▒▒▓▒▒█
|
|-
|Mok
|█▒▒▒▓▒▒▓▒▒▓▒▒▓▒▒▓▒▓▒▒▒█
|See [[User:VectorGraphics/Vector's introduction to 15edo/Scales|15edo scales]]
|-
|Gomorrah
|█▒▒▒▓▒▒▓▒▒▓▒▒▓▒▒▓▒▒▒▓▒█
|
|-
|Kleo
|█▒▒▒▓▒▒▓▒▒▒▓▒▒▓▒▒▓▒▒▒▓█
|
|-
| Phynaster
|█▒▒▒▓▓▒▒▒▓▒▒▒▓▒▒▒▓▒▓▒▒█
|
|-
|Mospentatonic
|█▒▒▒▓▒▒▒▒▓▒▒▒▓▒▒▒▓▒▒▒▒█
|Basic MOS of superpyth
|-
|Pine
|█▒▒▓▒▒▓▒▒▓▒▒▓▓▒▒▓▒▒▓▒▒█
|Basic MOS of porcupine
|-
|Gramitonic
|█▒▒▓▒▓▒▓▒▒▓▒▓▒▒▓▒▓▒▒▓▒█
|Basic MOS of orwell
|-
|Manual
|█▒▒▒▒▓▒▒▒▒▓▒▒▒▒▓▒▒▒▒▓▒█
|Basic MOS of orwell
|-
|Ekic
|█▒▒▓▒▒▓▒▒▓▒▓▒▒▓▒▒▓▒▒▓▒█
|Basic MOS of hedgehog
|-
|Citric
|█▒▒▒▓▒▒▒▓▒▒▓▒▒▒▓▒▒▒▓▒▒█
|Basic MOS of wizard
|-
|Lemon
|█▓▒▒▓▓▒▒▓▒▒▓▓▒▒▓▓▒▒▓▒▒█
|Basic MOS of wizard
|}

[[Category:22edo]][[Category:Practice]]