The melodic scale differs from the natural minor scale due the sixth and seventh notes are raised a semi-step, and therefore, no longer play as in the major scale. This scale is also some kind of a peculiar since it is played different ascending and descending.

When you go up the scale you are using the melodic minor scale but when you move down the scale you are using thenatural minor scale. For the melodic scale in A it will look like this:
Ascending: A, B, C, D, E, F#, G#, A
Descending: A, G, F, E, D, C, B, A

A: A, B, C, D, E, F#, G#, A
A#/Bb: A#, C, C#, Eb, F, G, A, A#
B: B, C#, D, E, F#, G#, A#, B
C: C, D, Eb, F, G, A, B, C
C#/Db: C#, Eb, E, F#, G#, A#, C, C#
D: D, E, F, G, A, B, C#, D
D#/Eb: D#, F, F#, G#, A#, C, D, D#
E: E, F#, G, A, B, C#, D#, E
F: F, G, Ab, Bb, C, D, E, F
F#/Gb: F#, G#, A, B, C#, Eb, F, F#
G: G, A, Bb, C, D, E, F#, G
G#/Ab: G#, A#, B, C#, Eb, F, G, G#

The harmonic minor scale is one of three minor scales. The other two are the natural minor and the melodic minor. The sound of the harmonic scale is characterized by the music of the Middle East.

The harmonic minor differs from the natural minor with a flattened seventh note and, therefore, this minor scale is not played in the same way as the relative major scale.

A: A, B, C, D, E, F, G#, A
A#/Bb: A#, C, C#, Eb, F, F#, A, A# (theoretically correct is B#, E# and G## instead of C, F and A)
B: B, C#, D, E, F#, G, A#, B
C: C, D, Eb, F, G, Ab, B, C
C#/Db: C#, D#, E, F#, G#, A, C, C# (theoretically correct is B# instead of C)
D: D, E, F, G, A, Bb, C#, D
D#/Eb: D#, F, F#, G#, A#, B, D, D# (theoretically correct is E# and C## instead of F and D)
E: E, F#, G, A, B, C, D#, E
F: F, G, Ab, Bb, C, Db, E, F
F#/Gb: F#, G#, A, B, C#, D, F, F# (theoretically correct is E# instead of F)
G: G, A, Bb, C, D, Eb, F#, G
G#/Ab: G#, A#, B, C#, D#, E, G, G# (theoretically correct is F## instead of G)