“Other trumpeters idolised Dizzy Gillespie. But now, more than a decade after his death in 1993, his reputation is in danger of fading away. Miles Davis was in some ways a Gillespie disciple, but one may find 20 of his CDs in a shop to every one of Dizzy’s. What’s more, the trumpeter Jon Faddis, co-leader of the alumni band, has complained about ‘the assertion that Charlie Parker was the sole genius of the bebop era’. Why should this be so? One answer is that Gillespie’s contribution was partly theoretical.”