Early in 2014, Miley Cyrus tweeted a birthday shout-out to Flaming Lips ­frontman Wayne Coyne, a favorite of hers since the Hannah Montana days. He sent her his number in response, kicking off one of the most surprising musical friendships in recent history. Since then, Cyrus, 22, has had The Lips join her onstage on her Bangerz Tour, appeared on two Beatles covers by the band and even got matching tattoos with Coyne and his girlfriend. "We've just been getting in each other's worlds," Coyne, 54, tells Billboard.

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