Let me simplify chords for you a little bit by telling you that on the piano there are only four augmented chords. Check it out. We build an augmented chord by stacking major thirds on top of each other and you can get away with this with three notes.
But by the time you add the fourth, you’re back to the note you started with. Invert these chords by bringing the bottom note up to the top and you’ll realize there is no difference between a C augmented and E augmented or a G sharp augmented. That single chord takes care of three out of the twelve notes in the keyboard.
C sharp, D and D sharp will take care of the rest because after that we’re back to E again. If you’re stuck on a scale to play over this, it’s just as easy. Just stack a second augmented chord, a half step above the first and Bob’s your uncle.
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