The Basel Chamber Orchestra’s 21 string players on tour are an extraordinary set of musicians. Not only did they begin their programme in Manchester with Vaughan Williams’ Fantasia on a Theme by Thomas Tallis, requiring at times one-to-a-part playing to accomplish its multi-voice textures, but eight of them put down their instruments and transformed into a choir for the piece that followed.

The opening concert of a new season often tends to be a statement of intent, and this was John Storgårds’ opener of the first full season since he was appointed chief conductor of the BBC Philharmonic. He’s hardly a newcomer to them, though, since he has been principal guest conductor (latterly chief guest) for nearly 12 years now. The mutual respect and trust are clear.

This programme, however, began with a fanfare and continued with something rich and something rare (not in that order).

It was great to see Kings Place full on Saturday night for I Fagiolini’s take on the Monteverdi Vespers, added, rock’n’roll style, as an “additional date due to public demand” after the Friday show sold out. And it was superb.

You go to a concert, three-quarters of it popular classics – also great masterpieces – having been told you have to hear a brilliant young cellist, and into the bargain you also discover a remarkable conductor and an orchestra on top form shedding transcendental light on the familiar. So everybody’s happy.

Epic and intimate, philosophically anguished and rhapsodically transcendent, Mahler’s "Resurrection" Symphony remains one of the most mountainous challenges of the orchestral repertoire. For the opening of the Southbank’s new season Edward Gardner and the London Philharmonic Orchestra delivered an interpretation of superlative resonance and clarity, in which it felt that we explored every detail of the foothills as well as the earth-shaking views from the top.

Big Ben was chiming the quarter-hour as I hit the South Bank side of the river after a not terribly inspiring Remain rally in Parliament Square. What delight, then, to hear the wacky and wonderful Carol Williams playing Vierne’s “Carillon de Westminster” as the opening fanfare of her Royal Festival Hall organ hour. It’s one of my two favouite organ voluntaries – the other being the most famous, “the Widor Toccata”, and she ended with that. All was well, in fact, from start to finish.

To coincide with the National Library of Scotland’s first bi-lingual exhibition Sguel/Story, an exhibition in English and Scottish Gaelic which celebrates stories and storytelling, the library presented a performance of newly reinterpreted Gaelic ballads with string quartet arrangements from composer Ned Bigham.

For someone who said when he first took the helm at the Hallé that he “didn’t do much Mahler”, Sir Mark Elder has a pretty good track record. He’s conducted all the symphonies except one over 20 or so years at the Bridgewater Hall, and two of them have been heard under his baton more than once.

Those are no. 9 (it was also recorded, in 2014) and no. 5 – and now, in his final season as music director, he’s begun with the former and will end with the latter, both recalling memorable experiences from the past for those who witnessed them.

These days British orchestras count themselves lucky if they can see, and plan, five years ahead. In Bavaria they do things rather differently. As the ducal court ensemble, and later the house band of the Munich opera, the Bayerisches Staatsorchester can trace its history back to 1523. Last night the BSO, as part of a six-country tour to mark its 500th anniversary, arrived at the Barbican with the first of two programmes conducted by music director Vladimir Jurowski.

To master even one of Brahms’s three early sonatas is a colossal task for any pianist. To play them all with towering authority in a single concert takes a phenomenon. Elisabeth Leonskaja seems just that more than ever in her late 70s; not only is there no loss of the epic stops she can pull out in the most tumultuous music, but for all her poise, she’s also still willing to embrace the craziness and iconoclasm of the 20-year-old composer as if the works were written yesterday.