The Barbican is London’s home for baroque opera in concert, regularly bringing Europe’s finest over with their latest Handel and Vivaldi. But although fresh from a performance in Paris, last night’s band were definitely home-grown. Harry Bicket and the English Concert were joined by a dream-team of soloists for a performance of Handel’s Radamisto that suggested their French rivals aren’t going to have it all their own way this season.

Is Prokofiev’s 1938 score for Alexander Nevsky the greatest film music ever written? Not quite, if only for the fact that Sergei Eisenstein’s second sound-picture glorifying historical role models for the ever more tsar-like Stalin, Ivan the Terrible, is darker and more richly textured, and the music’s greater breadth reflects that.

It may look like a sure-fire hit to let Kansas mezzo Joyce DiDonato rip through the drama-queen repertoire of the Baroque. But last night’s exploration of the dustiest, most overgrown byways of 17^th and 18^th century Italian opera needed every drop of DiDonato’s star musical talents – not to mention those of her backing band Il Complesso Barocco – to convince us of the worth of these rarities. The audience bought it. I remain on the fence.

“Improvisation? That?” whispered a Japanese lady to her friend at the end of the afternoon concert. She was making a good point. Half the performers in this programmed jam were glued to their scores. It was the low point of a mixed day at the Barbican Centre that began with a very enticing premise of offering to immerse us in the “Sounds from Japan”. We barely dipped our toe. The problem wasn’t simply the variability of the music; it was also the laziness of the curatorial thinking.

And so John Adams’s residency with the London Symphony Orchestra reaches its finale – a brisk allegro of a concert with a cheeky coda in the form of the composer’s latest orchestral work, Absolute Jest.

Bassekou Kouyaté’s ngoni looks like a real bugger to play. Its hollow body is the size and shape of a child’s cricket bat and its rounded fretless neck is thinner than that of a broomstick. It’s a mystery how anyone gets a note out of this ancestor of the banjo's four strings, never mind play the kind of galloping, coruscating solos that this Malian virtuoso gets out of it.

With the cuts still to bite deep, it's enterprising business as usual for both of London’s biggest concert-hall complexes and their satellite orchestras in the newly announced season to come. I use the word "complex" carefully, because as from September, the Barbican Centre, which already has access to LSO St Luke's up the road, will also be using the 608-seater hall constructed as part of its neighbouring Guildhall School of Music and Drama’s Milton Court development.

Want to learn more about 20^th century music in action? Starting tomorrow, you could lose yourself in the labyrinth of the Southbank’s year-long The Rest is Noise festival, and plough your way through Alex Ross’s monumental but partisan study of that name. Or you could learn a lot in a short space of time from John Adams’s mini-residency with the LSO at the Barbican.

Elgar declared a “massive hope in the future” as the human programme behind his epic First Symphony’s final exultant sprint. That hope was sprinkled like gold dust around the featured artists of this all-English concert. There are good reasons to be optimistic about the effective, colourful scores of 32-year-old Anna Clyne; we know that Benjamin Grosvenor, her junior by 12 years, is already a pianist of mercurial assurance, a real front-runner.

Offstage dramas made more waves than onstage, where dance-followers have much less to see, and a prospect of still less in this arid immediate future. The on-dit revolved around the Olympics ceremonies, TV dance, Michael Clark and some spectacular door-slamming by a young ballet dancer who bolstered the myth that we would all be happier if we quit an arcanely dedicated, quietly hardworking world where we were notably appreciated by the team, in order to take quick riches, dubious star vehicles and avid media spotlights.