‘Human beings are in trouble these days,’ says Herbie Hancock, chatting to us between songs. ‘And do you know who can fix it?’ ‘Herbie!’ comes the instant reply, shouted from somewhere in the stalls.

Hancock might be a jazz legend, but he’s not quite the Saviour. Kicking off this year’s excellent contemporary music programme at the Edinburgh International Festival, he’s a hit from the moment he strolls into view.