An interviewer recently asked Lady Gaga to reply to the accusation that she was doing just that with “Abracadabra,” her new single that conjures many of her older songs. “My nachos are mine,” she replied.

“Mayhem” puts the lie to that idea: Brash, squirmy, full of detailed grooves and expertly crafted hooks, it’s a winning reclamation of her trademark sound — her best since 2011’s “Born This Way” and precisely the album you’d want her to drop before headlining Coachella, as Lady Gaga will do next month.