EMI owns the rights to the music recordings; Sony Music controls the music publishing (except for George Harrison and Ringo Starr's compositions); Apple Corps owns the rights to the movie, related visuals and recordings not owned or controlled by EMI.
While Koji Kondo did write the music and compose it, the music was implemented in a game series that is owned and licensed by Nintendo who also owns the copyright laws to the music since the company published the music.
Irving Berlin. It is with Irving Berlin Enterprises, or Corporation, or Publishing Firm, and/or Company. He and with him what he corporates or incorporates owns his music and receives the sales results.