Major Labels: A History of Popular Music in Seven Genres is American critic Kelefa Sanneh’s ambitious survey of musical history. As such, it risks remaining only a surface-level summary of the seven genres he describes. I was wrong to worry, though: despite its broad coverage, Sanneh’s study is informative and personal, providing overviews of but also covering smaller diversions and developments within rock, R&B, country, punk, hip-hop, dance and pop.

As bio-musicals continue to have their heyday, it makes sense for the Young Vic to throw its hat in the ring and champion a work about the hugely influential Nelson Mandela. But this new musical about the South African anti-apartheid activist and statesman is such a baffling hodgepodge that it actually risks being a disservice to Mandela’s legacy.

Manchester's champions of contemporary music, just stripped of support by Arts Council England, are undaunted and last night continued doing what they do best. A small ensemble of virtuoso players brought a large and appreciative audience at Hallé St Peter’s a set of four challenging pieces, with a world premiere and a UK premiere among them.

The Royal Academy’s Making Modernism is a welcome introduction to seven women painters working in Germany at the beginning of the last century. It wouldn’t surprise me if you’d never heard of Gabriele Münter, Marianne Werefkin and Paula Modersohn-Becker even though they enjoyed international reputations during their lives, since their male counterparts (Kandinsky, Klee, Jawlensky and Macke) are not well known here either.

In usual circumstances, a fully staged opera and every voice-and-piano song-cycle by a single genius in one weekend would be an embarrassment of riches. The only problem about Britten hitting the heights, above all in setting toweringly great poetry by Auden, Blake, Donne and Hölderlin, at the top of a long list, meant one sitting and squirming at most of Ronald Duncan’s wretched lines for an opera which even in its very subject is problematic, The Rape of Lucretia.

How can this beauty arise from such ugliness? The Crucible, Arthur Miller’s 1953 drama about the Salem witch trials of 1692, is rife with unwavering prejudices, selfish slander, and sickening motives. But under Lyndsey Turner’s aesthetically vigorous direction on the National Theatre’s Olivier stage, the play’s infected air becomes a breeding ground for visually arresting tableaux possessed of rampant emotional intensity.

“Variety is the spice of life! Vive la difference!,” chirrups the ensemble at the end of this giddying double bill. And there could hardly be more singular variety acts than a potential suicide at the end of a phone line, a woman who lets her breasts fly away and grows a beard, and a husband who breeds 40,049 children on his own.

Manchester Collective were back on home ground last night in the tour of a programme featuring the first performances of a new song cycle by Edmund Finnis, Out of the Dawn’s Mind. Soprano soloist was the amazing Ruby Hughes.

It was home ground for her, too, in a sense: as a former student at Chetham’s School of Music she’s an old friend of the Collective’s leader and artistic director, Rakhi Singh.

An opera in the Hallé concert series, conducted by Sir Mark Elder, is rather like a blend of a religious observance and a masterclass in orchestral playing and singing technique.

In the first and sixth symphonies of Vaughan Williams, Sir Mark Elder had two of the most ambitious and rewarding of the whole canon to present in Saturday’s VW 150 concert, which consisted of those two works alone.