For the first encore of the evening, it was not just the audience but the whole ensemble of Hespèrion XXI that was mesmerised as its leader, Jordi Savall, executed a fiendishly rapid sequence of notes that sent the rosin from his bow rising up like smoke. At the age of 83, one of the world’s most influential viol players continues to demonstrate that his genius for teasing out every nuance of baroque allows him to soar through the music as freely as a bird.

Transcendence is everywhere in Mahler’s most ambitious symphony, from the flaming opening hymn to the upper reaches in the epic setting of Goethe’s Faust finale. You’d think no visuals could match the auditory phantasmagoria, just as dance, music and design flunked the essence of Paradiso in the Royal Ballet’s The Dante Project. Mahler does compose a kind of concert opera in Part Two, though; sound, movement and image accorded well.

“Let the music guide your imagination” was never going to be the slogan of the Southbank Centre’s Multitudes festival. Its 13 events offer parallel visions, intended in the case of Ravel’s Daphnis et Chloé (a shared project between the LPO and Australian dance company Circa I regret missing), not so in Shostakovich’s Tenth Symphony: as that masterpiece begins to be freed of its Soviet-era load, William Kentridge shackles it again on his own brilliant terms.

When Vladimir Jurowski returns to what used to be “his” London Philharmonic Orchestra, you’d better jump. I would have done on Wednesday had I been able to get to his heady mix of Russian and Ukrainian rarities; luckily I could on Saturday night, because an outwardly standard programme of early 19th century works proved perfect, raising Schumann’s much-denigrated Violin Concerto to the level of Beethoven’s Coriolan Overture and Schubert’s “Great” C major Symphony.

Forget, for a moment, the legend and the lustre. If you knew nothing about Riccardo Muti’s half-century of history with Verdi’s Messa da Requiem for the writer-patriot Alessandro Manzoni – he first gave it with the Philharmonia back in 1974 – and came fresh to this conductor with this work, would it shake the soul? On the evidence of the 83-year-old maestro’s performance with the same orchestra at the Royal Festival Hall last night, the answer would have to be a resonant affirmative.

A showstopper for starters followed by dark depths, a quirky compilation after the interval: it’s what you might expect from Iván Fischer and his 42-year-old Budapest Festival Orchestra. All Prokofiev, too: the sort of thing we used to get from Valery Gergiev and visiting Petersburgers. Yet while Gergiev’s alliance with Putin means he’ll not be here again, Fischer has balanced criticising Orbán and keeping his Hungarian orchestra on the road.

You could plan an entire concert season around the theme of “late style”, its paradoxes and variations. For this one-off, many of us expected a concentrated mesh of Edward Said’s only-connect observations with a well-balanced musical programme, something along the lines of the recent 90-minute cloud tapestry the City of London Sinfonia wove with atmospheric scientist Simon Clark (Rachel Halliburton, whom I accompanied, loved it, as did I).

George Gershwin called one of his early classic songs, first created by Fred and Adele Astaire, “Fascinating Rhythm”. It was that mesmeric pull that propelled last night’s Royal Festival Hall Concert from the Philharmonia and its principal guest conductor, Marin Alsop.

When Vladimir Jurowski planned this typically unorthodox programme, he could not have known that a disaster even greater, long-term, than 9/11 was going to befall the USA two days after the concert. There is no bad time for a tricky commemoration of the World Trade Center attacks, but close to a presidential inauguration would have been right whatever the outcome. As for an 18^th century “Mass in Time of War”, clearly Ukraine and Gaza would still be on the agenda.