It is a truth not widely acknowledged in the UK as yet that Robin Ticciati's elder brother Hugo is no less fine a shaper of musical thought. He could, as his solo playing last night richly proved, have had a career as a virtuoso violinist playing with all the world's great orchestras. Instead he chose a much more individual path: inspiring, even electrifying a group of musicians in Sweden, forging highly original programmes in which the so-called "old" – for which read timeless – comes up freshest in the company of the new.

Virtuoso Violinists was an hour of unalloyed informative pleasure that toured televised highlights of great violinists playing great music. Its painless excursion into the western classical canon reminded us why the BBC is the NHS of culture, and we delighted here in a guide who proved as accomplished a presenter as she is a performer of genius.

All three Grieg violin sonatas in a single recital may seem like too much of a good thing. The similarities between them outweigh the differences, which are more of quality than intent. But, when heard in chronological order, they provide a fascinating précis of Grieg’s artistic development, from the youthful and cheerfully unsophisticated First, through the terser and more tightly argued Second, to the Third, the composer’s undisputed masterpiece in the genre.

If Omer Meir Wellber is making a bid for Andris Nelsons’s old music directorship in Birmingham, he could hardly have signalled his intentions more audaciously. This concert began with Wagner’s Lohengrin Prelude and ended with Brahms’s First Symphony – basically a surgical strike into the heartlands of Nelsons’s repertoire. And as soloist, he had the Latvian violinist Baiba Skride – an artist who was introduced to Birmingham by Nelsons and who appeared with the CBSO on disc and in concert throughout Nelsons’s tenure.

He’s an American jazz giant; she’s a Scottish doyenne of the classical violin. Anyone familiar with one more than the other – and that’s more or less everyone – would do a double take to see their names on the same bill. But this week at Barbican Hall, a new concerto by Wynton Marsalis will be premiered by Nicola Benedetti and the London Symphony Orchestra.

How much would a Stradivarius or a Guarneri violin set you back? Hundreds of thousands of pounds? These days it’s more like millions – many millions. With the value of the finite collection of 17^th- and 18^th-century instruments only rising every year, and their appeal as investments increasing proportionally, it’s a rare musician indeed who can afford to play a historical violin of this quality.

In practice as well as in prospect, the second in Riccardo Chailly’s Strauss/Mozart trilogy was a concert of two very different halves. The first offered small Bavarian and Austrian beer in the shape of Strauss’s fustian Macbeth, unbelievably close in time to the masterly Don Juan which blazed on Tuesday, and a pretty but just a little too anodyne Mozart violin concerto at the other end of Mozart’s prodigious composing life to the last work for piano and orchestra, which had amazed us in the first concert.

“Sounds a bit depressing,” said several friends when I urged them to attend the theatrical incarnation of The Image of Melancholy, inspirational violinist Bjarte Eike’s award-winning CD with his stunning Norwegian-based group Barokksolistene. Creative melancholy, though, is not the same as stuck depression, and the sequence on the disc was well-balanced with songs and dances as well as superbly engineered sound. The instrumental sheen created equal magic in the wood-resonant surrounds of the Sam Wanamaker Playhouse last night.

Queen Margrethe II of Denmark attended Nielsen’s 150^th birthday concert earlier this year in Copenhagen’s glorious new concert hall. Her grandparents were there at the premiere of Nielsen’s blithest work, his cantata Springtime in Funen on 1921. Our own dear Queen has never shown such interest in music, but all the same last night's Prom celebrated the day on which she became our country’s longest reigning monarch with Gordon Jacob’s fanfare-laden arrangement of the National Anthem.

Mozart, arr. Makato Ozone: Piano Concerto No.9 Makato Ozone (piano), Scottish National Jazz Orchestra, dir. Tommy Smith (Spartacus Records)