How you respond to this recording could rather depend on just how familiar you are with these works and any alternative recordings. If you are new to these works then this recording offers a great introduction to some of John Adams' finest orchestral work. The performances by the Royal Scottish National Orchestra and the vivid, clear sound engineering offer a chance to get to know these works in minute detail.
So why only the three stars? there are five recordings that I know of the main work here, "Harmonielehre" and this is the weakest available. That doesn't men that it's bad it is up against some very stiff competition, of which I'd put Michael Tilson-Thomas's recording with the San Francisco SO a the top - though that's just my view of course. there is an alternative and better version of the Doctor Atomic Symphony but this there's nothing wrong with this Chandos and you get more music on this coupling too.
This recording still provides a fine showcase for all three works but the main draw has to be "Harmonielehre" and I find Peter Oundjian's approach a little too mechanical sounding compared to the best interpretations. Clear as the recorded sound is it sounds, if anything a little too clinical and dry too: compare the richness of the San Francisco SO strings in "Amfortas Wound" to this recording: they're like two different works.
So for something extra special do look elsewhere but this is still a fine recording overall.