Barnaby has performed, recorded, and broadcast music across a diverse range of genres from early to contemporary, symphonic, chamber, opera and film scores. He studied at the Guildhall School of Music, London and then as a Fulbright Scholar at The Juilliard School, New York. Barnaby was principal clarinet of the Philharmonia Orchestra from 2000-2013 and currently holds the same position with the English National Opera Orchestra. He released the clarinet album "1 2 3 11" on Orchid Classics in Novemeber 2021 which BBC Radio 3 described as “an exhilarating and imaginative celebration of the 20th century clarinet”. As a composer and arranger, he has written music for television, film and the concert hall. An album of his TV music was released on the KPM label in 2021.