They say the devil has all the best tunes, but melancholia is another source of musical inspiration. Coldplay’s new album is the product of a period of emotional turmoil in lead vocalist Chris Martin’s life – the much–publicized ‘uncoupling’ from his wife the actress Gwynneth Paltrow.

The album was made before the announcement of their separation but it expresses a painful inner journey in anticipation of break-up, the realization of loss, and the mortality of relationships, all of which are the stuff of melancholy moods.

 A cheeky series of signs raised at the start of Phelim McDermott’s new Così fan tutte for English National Opera promise “Big Arias”, “Intrigue”, “Lust” and “Chocolate” (among other things). Big pledges, all. And almost all delivered by this witty, exuberant and quietly revisionist production of Mozart’s challenging comedy.

Last time I saw Apollo's Fire perform they danced. Halfway through the concert the chamber orchestra just put music stands aside, continued playing their instruments, and broke into a stately minuet on the Wigmore Hall stage. Nothing quite so unexpected happened at their second London appearance this week at St John's Smith Square, but that same maverick energy was still there, translated this time into some quirky programming and some serious energy from Cleveland's favourite early music group.

Mozart usually makes a fine concert bedfellow for his most devoted admirer among later composers, Richard Strauss. With the proviso that the 39^th rather than the 38^th Symphony would have made a better prologue to excerpts from Der Rosenkavalier last night – Mozart's later work has a minuet which Strauss imitates in the breakfast badinage of his Marschallin and Octavian, while the “Prague” Symphony has none – Sir Mark Elder made the companionship shine last night.

Reason, tolerance, liberalism…these are the qualities that defined the Georgian Age, and for which it deserves to be better known, and more widely admired. Lucy Worsley stated her argument with admirable clarity in the opening moments of the programme, and her intellectual confidence and rigour made this one of the most informative and enjoyable of the many recent BBC history series. Worsley breezed through the historical landscape of the age, uncovering crucial aspects of politics, religion, art, satire, and finance.

The last time the BBC dramatised the creation of a great musical work, it didn’t quite hit the spot. Eroica starred Ian Hart as Beethoven glowering at the heart of a drama which had rather less of a narrative through-line than the symphony it honoured. For Messiah at the Foundling Hospital, the BBC have gone to the other extreme and kept eggs out of the one basket. There was a bit of drama, a bit of documentary, some costumed musical performance and there were even two presenters to come at the story from opposite angles.

Initiating the tercentenary of the arrival of the Hanoverians and thus the foundation of our German royal family, this startling and beguiling exhibition of  the work of the polymath William Kent (1685-1748) crams 200 objects – drawings, paintings, plans, photographs, furniture, illustrations, models – into an illusionistic array of gauzy rooms, evocative of real interiors. 

Jean-Philippe Rameau, the most radical and inventive of French composers before Berlioz, died in Paris 250 years ago this September. 16 years later a gem among theatres opened its doors for the first time with a long evening’s entertainment including Racine’s Athalie, supported by an incidental score from the resident music master Franz Beck.

If they asked me, I could write a book about the way one number in Richard Jones’s ENO production of Handel’s Rodelinda – the only duet, after 18 arias, and nearly two hours into the action – looks, sounds and moves.

John Adams: Harmonielehre, Doctor Atomic Symphony, Short Ride in a Fast Machine Royal Scottish National Orchestra/Peter Oundjian (Chandos)