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Ab Lydian Dominant Scale notes: Ab Bb C D Eb F Gb. Formula: 1 2 3 #4 5 6 b7. Chords in this scale: Ab, Bb, Cdim, Ddim, Ebm, Fm, Gbaug.
Lydian dominant is Mixolydian with a raised fourth: 1 2 3 #4 5 6 b7. It sounds bright and bluesy at the same time, the classic choice over 7#11 chords in jazz and fusion. It is the fourth mode of melodic minor, so D Lydian dominant uses the same notes as A melodic minor.