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Tom Service talks to Christopher Purves, one of the most theatrically and musically vivid bass-baritones on opera stages around the world. Christopher shares his love of Handel, his need to communicate to audiences, discusses how to connect with the darker characters of the repertoire, including The Protector, a role he created for George Benjamin's acclaimed opera, Written on Skin, and talks of his current project, Golaud in Debussy's Pelleas et Melisande.

Michael Volpe from Opera Holland Park and Polly Graham, Artistic Director of Longborough Festival Opera join Tom in the studio, to discover if Summer Festival opera companies can advance the art-form, as well as serve the audiences who come for the experience, and Antony Feeny, economist and researcher discusses the business model of these festivals.

Music and Maths - Tom explores the spaghetti-like interconnectedness of these two ancient disciplines with Eli Maor, whose new book 'Music By The Numbers' shows how musical ideas have inspired mathematicians over the ages, and Eugenia Cheng, mathematician and musician, who sees a musical-like creativity in maths, and a logic in all classical composition.

The Yorkshire Young Sinfonia became the first youth orchestra to play concerts reading their scores from tablets. Some professional orchestras use this technology too. Tom finds out what are the benefits and limitations surrounding digital technology on the concert platform.