I have mentioned this before, but make no apology for doing so again; not only is the harmony off the scale, this countermelody has the most beautiful shape.
People often ask me how they can improve their ears and recognition of chords; I honestly think that working out small chunks of non-improvised but harmonically interesting music is the way forward.
Check out how explicit those natural ninths are on the half diminished chords. 11ths on minor chords. Flattened 5th on dominants. In popular music!
Studio version: http://open.spotify.com/track/6ZP8gvoFu3bR5MkH03ORE6
Live version here: (it's a tone down and there's no counter-melody but still...!)