Caetano Veloso gets more extraordinary. After his 2010 show in London, one critic (me) said that at 67 his “wings seemed a little clipped”. Maybe that show, which was quite short, wasn’t the best he’d ever given. But maybe I was wrong. At 71, this slight man has not a clipped or cramped or confined thing about him. He seems to have got younger. He sounds exactly like he did over four and a half decades ago, when he exploded with Gilberto Gil into Brazilian music with, for the time, a shocking thing called Tropicalismo.

Whatever “it” is, Alex Turner has it in his bones. From those first excitable live performances passed around online in the early 2000s, before Sheffield’s Arctic Monkeys rocketed to No. 1 success apparently overnight, to 2014’s triumphant Finsbury Park headlining residency, the frontman exudes charisma live.

Oasis: Definitely Maybe

The veteran South African jazzers Adam Glasser and Pinise Saul transformed the gleamingly elegant Crazy Coqs cabaret den into a throbbing township jazz club last night, with an exhilarating programme of original South African jazz, seasoned with standards and township folk. Joining forces with the percussionist Marcina Arnold, a relative newcomer to their ensembles, they roughed up this venue’s urbanity with unfamiliar fires of passion and yearning.

Sometimes it feels as though modern music has lost its magic – that the more that's produced the more ordinary it seems. Last night, however, down the Bohemian end of one British seaside town, the crowd sat expecting something pretty special. They had good reason. These days 67-year-old Emmylou Harris, with her long silver hair not only looks Southern gothic but sounds it too.

 “Somebody had to be Bikini Kill, otherwise we would have culturally starved to death.” The quote typifies the deferential The Punk Singer, a bio-doc on the driven Kathleen Hanna, the feminist front-person of the American bands Bikini Kill, Le Tigre and, most recently, The Julie Ruin.

It is only when Peaches turns into King Herod that she really becomes the Peaches the audience recognises. A cheer goes up as she jeers, “Prove to me that you’re no fool/Walk across my swimming pool.” She’s mocking, leering, puffed up in a gold coat, her hair shaved at the sides and swept into a giant bouffant on top. In fact she looks more like the Elvis-ish Pharoah from Rice & Lloyd-Webber’s Joseph and the Amazing Technicolor Dreamcoat than any character from the pair’s self-consciously hip interpretation of the Gospels.

Jazz pianist Chick Corea put a bomb under his reverential “rare solo concert” billing at the Barbican last night, with an outrageously showmanlike variety performance that seemed to take in everyone from Keith Jarrett to Gareth Malone. Corea’s two ECM albums, Piano Improvisations (1971 and 1972), blazed a trail for similar work, music that was cerebral, even austere, from Paul Bley and the arguably even more distinguished Jarrett.

Various Artists: Philadelphia International Records – The Collection

As her rendition of “Double Rainbow”, from recent album Prism, draws to end, Katy Perry announces into her microphone that “It was the music that brought you here! You like the costumes and lights but the music brought you here!” The funny thing is that actually the music is the least of things in the Katy Perry live spectacular.