Since the birth of modern pop music in the 1960s, two bands have continued to have an extraordinary influence over the music world: The Beatles and The Rolling Stones. Incredibly, one of those acts is still going but is it Lennon and McCartney or Mick’n’Keef who really deserve the top spot as far as influence, songwriting and live performance go? And who had the best haircuts? Jack Pelling is co-host of podcast, Your Own Personal Beatles, and for him the band who has changed the world the most in 10 short years was the Fab Four. Will Hodgkinson is a journalist and author who is chief rock and pop critic for The Times. For Will, the world's greatest rock'n'roll band is undoubtedly the Stones. Our host Coco Khan is in charge of the playlist but there can only be one winner – you the listeners decide – follow the link below to cast your vote.

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