The recording of “Pretty When You Cry” is built around the original writing session: chords from her band’s guitarist, Blake Stranathan, a fluctuating tempo and words she was making up on the spot. “I’m stronger than all my men,” she sings, “except for you.” A more conventional approach would be to redo its shaky, scratchy lead vocal with something prettier. “I didn’t even think to go back and fix it,” she said, “because if you know the story behind it, then you can tell why it was sung that way.”

The angry responses to “Born to Die” left scars. “Carl Jung said that inevitably what other people think of you becomes a small facet of your psyche, whether you want it to or not,” she said. Her new album includes a retort: “Money, Power, Glory,” which claims, with deep sarcasm, that those are what she’s after.

Image Being greeted by fans at the airport. Credit... Vladimir Labissiere/Splash News, via Corbis

“I learned that whatever I did elicited an opposite response, so I’m sure ‘Money, Power, Glory’ will actually resonate with people as being what I really do want,” she said with a shrug. “I already know what’s coming, so it’s O.K. to explore irony and bitterness.”

A recurring criticism was that her songs about being swept away by love were anti-feminist in their passivity; she contends that she was writing about private, immediate feelings, not setting out doctrine. “For me, a true feminist is someone who is a woman who does exactly what she wants,” she said. “If my choice is to, I don’t know, be with a lot of men, or if I enjoy a really physical relationship, I don’t think that’s necessarily being anti-feminist. For me the argument of feminism never really should have come into the picture. Because I don’t know too much about the history of feminism, and so I’m not really a relevant person to bring into the conversation. Everything I was writing was so autobiographical, it could really only be a personal analysis.”

She has also been denounced for video clips that culminate in her death: by drowning, by falling, by choking. The video for “Born To Die” ends with her in a boyfriend’s arms, inert and covered in blood. She agrees that her videos have often been “exploring ways to die,” she said, adding: “I love the idea that it’ll all be over. It’s just a relief, really. I’m scared to die, but I want to die.” The title song of “Ultraviolence” ventures into precarious territory. In an arrangement that melds Baroque dirge and wah-wah guitar, the singer describes herself as “filled with poison but blessed with beauty and rage,” and goes on to quote a fraught 1962 song from the Crystals, “He Hit Me (And It Felt Like a Kiss).”