The circle of fifths is a mainstay of modern western musical pedagogy.
In 19-EDO, there is a circle of fifths much like in 12-EDO.
The enharmonic equivalents in 19-EDO are different from those in 12-EDO. The possible notes, in ascending order are: A A# Bb B (B#/Cb) C C# Db D D# Eb E (E#/Fb) F F# Gb G G# Ab
The enharmonic equivalences are:
Ax = Bb
Abb = G#
B# = Cb
Bx = C
Bbb = A#
Cx = Db
Cbb = B
Dx = Eb
Dbb = C#
E# = Fb
Ex = F
Ebb = D#
Fx = Gb
Fbb = E
Gx = Ab
Gbb = F#
Key of C (Am)
No sharps nor flats.
Notes: C D E F G A B
Key of G (Em)
One sharp
Notes: G A B C D E F#
Key of D (Bm)
Two sharps
Notes: D E F# G A B C#
Key of A (F#m)
Three sharps
Notes: A B C# D E F# G#
Key of E (C#m)
Four sharps
Notes: E F# G# A B C# D#
Key of B (G#m)
Five sharps
Notes: B C# D# E F# G# A#
Key of F# (D#m)
Six sharps
Notes: F# G# A# B C# D# E#
Key of C# (A#m)
Seven Sharps
Notes: C# D# E# F# G# A# B#
Key of G# (E#m)
Eight sharps (two combine to for one x)
Notes: G# A# B# C# D# E# Fx
Key of D# (B#m)
Nine sharps (two x's)
Notes: D# E# Fx G# A# B# Cx
The rest are enharmonically simplified to a flat key ->
Key of F (Dm)
One flat
Notes: F G A Bb C D E
Key of Bb (Gm)
Two flats
Notes: Bb C D Eb F G A
Key of Eb (Cm)
Three flats
Notes: Eb F G Ab Bb C D
Key of Ab (Fm)
Four flats
Notes: Ab Bb C Db Eb F G
Key of Db (Bbm)
Five flats
Notes: Db Eb F Gb Ab Bb C
Key of Gb (Ebm)
Six flats
Notes: Gb Ab Bb Cb Db Eb F
Key of Cb (Abm)
Seven flats
Notes: Cb Db Eb Fb Gb Ab Bb
Key of Fb (Dbm)
Eight flats (two combine to form one bb)
Notes: Fb Gb Ab Bbb Cb Db Eb
Key of Bbb (Gbm)
Nine flats (two bb's)
Notes: Bbb Cb Db Ebb Fb Gb Ab
<- The rest are enharmonically simplified to a sharp key