Harmonic Major Scales

Harmonic Major is comparable to the Major Scale, having a lowered sixth but otherwise being identical (the scale is also referred to as Major b6 Scale). The lowered sixth makes the subdominant chord a minor instead of a major (in Harmonic Major C, this would be Fm).

The mode was introduced by Moritz Hauptmann in the 1850s (and later named by Rimsky-Korsakov). It was meant to be seen as a mode in the middle between major and minor, hence it is also referred to as the Minor-Major mode. The scale is similar to the Harmonic Minor Scale, only one note differs. It can be seen as a mode of that scale: C Harmonic Scale include the same notes as The A Harmonic Minor.

C

C Major Harmonic scale diagram
Notes: C, D, E, F, G, Ab, B, C
Fingering (LH): 5, 4, 3, 2, 1, 3, 2, 1
Fingering (RH): 1, 2, 3, 1, 2, 3, 4, 5

C# / Db

C# Major Harmonic scale diagram
Notes: C#, D#, E#, F#, G#, A, B#, C#
Fingering (LH): 3, 2, 1, 4, 3, 2, 1, 3
Fingering (RH): 2, 3, 1, 2, 3, 4, 1, 2

D

D Major Harmonic scale diagram
Notes: D, E, F#, G, A, Bb, C#, D
Fingering (LH): 5, 4, 3, 2, 1, 3, 2, 1
Fingering (RH): 1, 2, 3, 1, 2, 3, 4, 5

D# /Eb

D# Major Harmonic scale diagram
Notes: Eb, F, G, Ab, Bb, B, D, Eb
Fingering (LH): 3, 2, 1, 4, 3, 2, 1, 3
Fingering (RH): 3, 1, 2, 3, 4, 1, 2, 3

E

E Major Harmonic scale diagram
Notes: E, F#, G#, A, B, C, D#, E
Fingering (LH): 5, 4, 3, 2, 1, 3, 2, 1
Fingering (RH): 1, 2, 3, 1, 2, 3, 4, 5

F

F Major Harmonic scale diagram
Notes: F, G, A, Bb, C, Db, E, F
Fingering (LH): 5, 4, 3, 2, 1, 3, 2, 1
Fingering (RH): 1, 2, 3, 4, 1, 2, 3, 4

F# / Gb

F# Major Harmonic scale diagram
Notes: F#, G#, A#, B, C#, D, E#, F#
Fingering (LH): 4, 3, 2, 1, 3, 2, 1, 4
Fingering (RH): 2, 3, 4, 1, 2, 3, 1, 2

G

G Major Harmonic scale diagram
Notes: G, A, B, C, D, Eb, F#, G
Fingering (LH): 4, 3, 2, 1, 4, 3, 2, 1
Fingering (RH): 1, 2, 3, 1, 2, 3, 4, 5

G# / Ab

G# Major Harmonic scale diagram
Notes: Ab, Bb, C, Db, Eb, E, G, Ab
Fingering (LH): 3, 2, 1, 4, 3, 2, 1, 3
Fingering (RH): 3, 4, 1, 2, 3, 1, 2, 3

A

A Major Harmonic scale diagram
Notes: A, B, C#, D, E, F, G#, A
Fingering (LH): 5, 4, 3, 2, 1, 3, 2, 1
Fingering (RH): 1, 2, 3, 1, 2, 3, 4, 5

A# / Bb

A# Major Harmonic scale diagram
Notes: Bb, C, D, Eb, F, Gb, A, Bb
Fingering (LH): 3, 2, 1, 4, 3, 2, 1, 3
Fingering (RH): 4, 1, 2, 3, 1, 2, 3, 4

B

B Major Harmonic scale diagram
Notes: B, C#, D#, E, F#, G, A#, B
Fingering (LH): 4, 3, 2, 1, 4, 3, 2, 1
Fingering (RH): 1, 2, 3, 1, 2, 3, 4, 5

Harmonic Major Scales overview
C: C, D, E, F, G, Ab, B, C
C#/Db: C#, D#, E# (F), F#, G#, A, B#, C# / Db, Eb, F, Gb, Ab, Bbb (A), C, Db
D: D, E, F#, G, A, Bb, C#, D
D#/Eb: D#, E# (F), F## (G), G#, A#, B, C## (D), D# / Eb, F, G, Ab, Bb, Cb (B), D, Eb
E: E, F#, G#, A, B, C, D#, E
F: F, G, A, Bb, C, Db, E, F
F#/Gb: F#, G#, A#, B, C#, D, E#, F# / Gb, Ab, Bb, Cb (B), Db, Ebb (D), F, Gb
G: G, A, B, C, D, Eb, F#, G
G#/Ab: G#, A#, B# (C), C#, D#, E, F## (G), G# / Ab, Bb, C, Db, Eb, Fb(E), G, Ab
A: A, B, C#, D, E, F, G#, A
A#/Bb: A#, B# (C), C## (D), D#, E# (F), F#, G## (A), A# / Bb, C, D, Eb, F, Gb, A, Bb
B: B, C#, D#, E, F#, G, A#, B

Intervals and steps
Intervals: 1, 2, 3, 4, 5, b6, 7
Semi-notes: 2 - 2 - 1 - 2 - 1 - 2 - 1
Formula: Whole, Whole, Half, Whole, Half, Whole and a half, Half

Source: https://www.academia.edu/6982638/The_Harmonic_Major_Mode_in_Nineteenth-Century_Theory_and_Practice