Precious few musicians can instill such a sense of intimacy into their playing as to have us believing that the Royal Albert Hall is the Wigmore Hall and that their performance is for an audience of one and not six thousand. Mitsuko Uchida is among the select few.

It was mostly Russian night at the Proms, and mostly music you could dance to, as a hand jiving Arena Prommer rather distractingly proved in the finale of Tchaikovsky’s Second Symphony. Even Prokofiev’s elephantine Second Piano Concerto was transformed into the ballet music Serge Diaghilev thought it might become in 1914. Much of this was thanks to the fleet feet and mobile shoulders of febrile BBC Philharmonic conductor Gianandrea Noseda. But even he could do very little with the odd man out in every way, Edward Cowie’s Earth Music I.

You wait years for a live performance to test whether Tippett’s Second Symphony is a masterpiece, and then two come along within six months. Both are due to the missionary zeal of the BBC Symphony Orchestra management, determined to give an overshadowed English composer a voice in Britten centenary year. But while Martyn Brabbins convinced me totally of the Second’s dynamic journey back in April at the Barbican, Oliver Knussen caught its rarefied sounds but not always its progressive sense.

A second visit to hear this already great young Russian pianist in six months was meant for private pleasure only. Yet no-one in the Wigmore Hall audience last night, I’ll hazard a guess, will ever have heard Liszt playing like Sudbin’s in a first half which itself merited a standing ovation, so the world needs to know about it.

It is nearly 50 years since Martha Argerich played in Manchester. She performed with the Hallé Orchestra and the conductor was Claudio Abbado, making his UK debut. That was in 1965 and a year later they repeated their double act. Thanks to the Manchester International Festival and her special working relationship with conductor Gábor Takács-Nagy, music director of the Manchester Camerata, she bridged that gap last night.

On most of her London visits, Elisabeth Leonskaja has been an unassuming high priestess of the mysteries and depths in core sonatas by Beethoven, Chopin and Schubert. This time she applied her Russian-school style of orchestral pianism, tempered as always by absolute clarity, to burning the mists off Ravel, Debussy and the French-inspired Romanian, Enescu. She went on to give us colossal enlightenment in what must be the greatest work ever composed by a 19-year-old, Brahms’s Third Piano Sonata in F minor.

In 1980, an orchestra and conductor then hardly known in Britain came to the Royal Festival Hall. I went to hear Elisabeth Söderström in Strauss’s Four Last Songs; I left stunned by an unorthodox Sibelius Second Symphony and above all by one of the encores, Cantus to the Memory of Benjamin Britten by one Arvo Pärt.

Imagine the rising and falling piano cadences of Gershwin’s Rhapsody in Blue. Then plug the gaps between each note with any of those which may have been encountered on the path to the next. Once that’s done, ensure that the playing is constant with each note bleeding into the next. Mesh the result with a similar composition played at the same time and you have some idea of how Lubomyr Melnyk’s “Windmills”, his final piece last night, sounds.

“Did he who made the Lamb make thee?” Blake asked the tiger. One might have asked the same question of Scriabin’s Poem of Ecstasy, with Mozart’s G major Piano Concerto, K.453, as the lamb, in this hyper-diverse Birmingham concert. The image of divine simplicity was in the delicate hands of Mitsuko Uchida, whose Mozart resisted every striped temptation that Andris Nelsons and the CBSO threw in her path.

Visiting orchestras and conductors often complain about agents’ insistence that they programme their main national dishes. The request is partly understandable: we all want to hear the Vienna Philharmonic in Mahler, the Czechs in Dvořák, the Hungarians in Bartók. On this occasion, it seemed like no bad thing to welcome back the Budapest Festival Orchestra and its febrile, masterly music director Iván Fischer in a work they’ve brought to London before, Bartók’s Concerto for Orchestra.