This is an incredible redesign, utilizing widely known gestures (swipes, double taps, etc). Apple should embrace these further, IMO, and a casual-use app like Music makes the most sense. I'm a longtime Spotify Premium user and I tried v1 of Music but it was jus too painful. This would have made me stay. Great job.
I think the swipe gestures for add/next should probably be left/right to match tinder... not that it's really much better than up/down, it is somewhat more natural to swipe from side to side in terms of holding the device casually.