Phil is correct.
Use the Ab augmented as a passing or transition cord between Ab major and Db major to give you an idea how it sounds and resolves itself . Move from Db major to Ab major using Ab diminished [first 4 strings: Ab, D,B,F] in between to hear a different transition. Just one example, but your ear should hear the difference. You'll find a lot of ways to use the chords in different keys and positions. Listen to the harmony's. Very basic, but very cool. I'm sure there are a lot of guys here that can offer their own suggestions or alternatives.
Hope this helps.
PS click on the link below to see how the avatar should look.