“You don’t choose music,” Jonathan Clay says. “Music chooses you. We love making music, in any facet.”

Since 2010, Clay and Zach Chance have fronted the Americana duo Jamestown Revival. Now, they’re coming to grips with being first-time Grammy nominees — but not for their work under Jamestown Revival. Instead, Clay and Chance are nominated for their score to The Outsiders, the Broadway adaptation of S.E. Hinton’s novel about the class and racial divisions in 1960s Tulsa. The pair, along with musical director-turned-collaborator Justin Levine, were already nominated for...