"I was around 15 when I realized he was inescapable," she tells Rolling Stone in a new interview. "Even if I was in a car and had the radio on, there's my dad. He's larger than life. And our culture is obsessed with dead musicians. We love to put them on a pedestal. If Kurt had just been another guy who abandoned his family in the most awful way possible ... but he wasn't. ... He became even bigger after he died than he was when he was alive."
Cobain, 22, admits that she's not a huge fan of her father's music. "I don't really like Nirvana that much," she tells Rolling Stone, but admits to crying every time she hears the track "Dumb" off of the band's last studio record, In Utero.
"They had what I call the 'K. C. Jeebies,' which is when they see me, they see Kurt. They look at me, and you can see they're looking at a ghost," she explains. "They were all talking amongst themselves, rehashing old stories I'd heard a million times. I was sitting in a chair, chain-smoking, looking down like this [affects total boredom]. And they went, 'You are doing exactly what your father would have done.'"
In recent months, Cobain has been hard at work as an executive producer of HBO's upcoming documentary Kurt Cobain: Montage of Heck, which premieres May 4. Cobain calls the film "the closest thing to having Kurt tell his own story in his own words."
"For me, the film provided a lot more factual information about my father - not just tall tales that were misconstrued, misremembered, rehashed, retold 10 different ways," she says. "It was factual evidence of who my father was as a child, as a teenager, as a man, as a husband, as an artist. It explored every single aspect of who he was as a human being."
"If he had lived, I would have had a dad," she notes. "And that would have been an incredible experience."
Read more of Cobain's interview with Rolling Stone here.