The melodic minor scale is essentially a natural minor scale with raised sixth and seventh scale degrees.
A great deal of modern jazz harmony arises from the modes of the ascending form of the melodic minor scale, also known as the jazz melodic minor scale. This scale is essentially a diatonic major scale with a lowered third, for example C–D–E♭–F–G–A–B–C. As with any other scale, the modes are derived from playing the scale from different root notes, causing a series of jazz scales to emerge.
The jazz minor scale is a derivative of the melodic minor scale, except only the ascending form of the scale is used. As the name implies, it is primarily used in jazz. It may be derived from the major scale with a minor third, making it a synthetic scale, and features a dominant seventh chord on the fifth degree (V) like the harmonic minor scale. Also known as the heptatonia seconda, jazz minor scale, Athenian Scale, or Ionian ♭3. This form of the scale is also the 5th mode of the acoustic scale.