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Lady Gaga had some harsh words for Madonna during a Thursday interview with Beats 1 Radio.

The radio host said that Madonna and Lady Gaga seemed “parallel,” referring their relationships with their fathers.

Gaga replied, "Madonna and I are very different. Just saying. We're very different. I wouldn't make that comparison at all and I don't mean to disrespect Madonna. She's a nice lady, and she's had a fantastic huge career -- biggest pop star of all time. But I play a lot of instruments. I write all my own music. I spend hours and hours a day in the studio. I'm a producer. I'm a writer. What I do is different."

Lady Gaga added that her style is “not just rehearsing over and over again to put on a show.”

She reiterated she did not intend to be “disrespectful in any way” and said she was not a fan of being compared to another artist.

“I just will not be compared to anyone anymore I am who the f--k I am and this is me. My life story is my life story, just like yours is. The thing is we all express things in different ways, but my rebellion at my father for him being angry with me, that has ended. It's like finally I can bite back."

Later Thursday, Lady Gaga returned to the New York City bar where she performed years ago as an unsigned act on the eve of her new album's release, singing rock and pop songs for an audience including Robert De Niro, Helen Mirren, die-hard fans and music industry insiders.

Gaga sang tracks from "Joanne," released Friday, at The Bitter End, going from piano to guitar. She was backed by a band that included Mark Ronson, who produced the new album, and Hillary Lindsey, who co-wrote with Gaga.

The Grammy winner, who grew up in New York City, performed songs like "Million Reasons" and "Joanne," an homage to her aunt who died at 19 from lupus before Gaga was born (Joanne is the singer's middle name). After the performance inside the bar, Gaga performed outside for her feverish fans. She sang two more songs from the top of the bar's roof, even sitting down on the edge of the roof to belt out the lyrics as fans and residents cheered her on.

The Thursday show, also attended by Gaga's mother and father as well as Abbi Jacobson and Ilana Glazer of the Comedy Central series "Broad City," was the second date on her Dive Bar Tour with Bud Light. She performed the first show two weeks ago in Nashville, Tenn., and a third performance, at an unannounced location, will take place Oct. 27.

The Associated Press contributed to this report.