Jazz soloing is actually pretty simple in concept: play the scale of key you're in, arpeggiate the chord tones, and chromatically approach the chord tones of the chord that comes next. Mastering it is the tough part. But if you use this exercise starting on every note of the scale, you'll have a "jazz map" you can use to connect the dots and understand where jazz vocabulary typically wants to go. This will give you the foundation to add personality and musicality: more interesting scales, chord

piano jazz improvisation