Melodic Minor Scales

The Melodic Minor Scale differs from the Natural Minor Scale by the sixth and seventh notes, which are raised a semi-step. This scale is also some kind of peculiar since it is sometimes played differently ascending and descending.

Classical music: When you go up the scale, you are using the Melodic Minor Scale, but when you go down the scale you are using the Natural 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

Jazz: The sixth and seventh notes are always raised, exactly as the pictures below illustrate.

A

A melodic minor scale diagram
Notes (ascending): A, B, C, D, E, F#, G#, A
Notes (descending): A, B, C, D, E, F, G, A

A# / Bb

A# melodic minor scale diagram
Notes (ascending): A#, C, C#, Eb, F, G, A, A#
Notes (descending): A#, C, C#, Eb, F, F#, G#, A#

B

B melodic minor scale diagram
Notes (ascending): B, C#, D, E, F#, G#, A#, B
Notes (descending): B, C#, D, E, F#, G, A, B

C

C melodic minor scale diagram
Notes (ascending): C, D, Eb, F, G, A, B, C
Notes (descending): C, D, Eb, F, G, Ab, Bb, C

C# / Db

C# melodic minor scale diagram
Notes (ascending): C#, Eb, E, F#, G#, A#, C, C#
Notes (descending): C#, Eb, E, F#, G#, A, B, C#

D

D melodic minor scale diagram
Notes (ascending): D, E, F, G, A, B, C#, D
Notes (descending): D, E, F, G, A, Bb, C, D

D# / Eb

D# melodic minor scale diagram
Notes (ascending): D#, F, F#, G#, A#, C, D, D#
Notes (descending): D#, F, F#, G#, A#, B, C#, D#

E

E melodic minor scale diagram
Notes (ascending): E, F#, G, A, B, C#, D#, E
Notes (descending): E, F#, G, A, B, C, D, E

F

F melodic minor scale diagram
Notes (ascending): F, G, Ab, Bb, C, D, E, F
Notes (descending): F, G, Ab, Bb, C, Db, Eb, F

F# / Gb

F# melodic minor scale diagram
Notes (ascending): F#, G#, A, B, C#, Eb, F, F#
Notes (descending): F#, G#, A, B, C#, D, E, F#

G

G melodic minor scale diagram
Notes (ascending): G, A, Bb, C, D, E, F#, G
Notes (descending): G, A, Bb, C, D, Eb, F, G

G# / Ab

G# melodic minor scale diagram
Notes (ascending): G#, A#, B, C#, Eb, F, G, G#
Notes (descending): G#, A#, B, C#, Eb, E, F#, G#

Melodic Minor Scales overview (auxiliary notes in descending scale in parentheses)
A: A, B, C, D, E, F# (F), G# (G), A
A#/Bb: A#, C, C#, Eb, F, G (F#), A (G#), A#
B: B, C#, D, E, F#, G# (G), A# (A), B
C: C, D, Eb, F, G, A (Ab), B (Bb), C
C#/Db: C#, Eb, E, F#, G#, A# (A), C (B), C#
D: D, E, F, G, A, B (Bb), C# (C), D
D#/Eb: D#, F, F#, G#, A#, C (B), D (C#), D#
E: E, F#, G, A, B, C# (C), D# (D), E
F: F, G, Ab, Bb, C, D (Db), E (Eb), F
F#/Gb: F#, G#, A, B, C#, Eb (D), F (E), F#
G: G, A, Bb, C, D, E (Eb), F# (F), G
G#/Ab: G#, A#, B, C#, Eb, F (E), G (F#), G#

Intervals and steps
Intervals: 1, 2, b3, 4, 5, 6, 7
Semi-notes : 2 - 1 - 2 - 2 - 2 - 2 - 1
Formula: Whole, Half, Whole, Whole, Whole, Whole, Half