Tate Britain, London, 21 November – 3 April 2016 (closed temporarily between 21 November–3 April 2016)
For the WWI Centenary commemorations Susan Philipsz has created a poignant sound installation. Using recordings of British and German instruments damaged by war, the Turner Prize-winning artist has produced a fragmented, distorted version of The Last Post – a tune that signals the end of a battle. Several years in the making, each element of War Damaged Musical Instruments has been carefully thought through: woodwind and brass instruments have been selected because human breath flows through them; sound runs in narrow channels up and down the gallery space to echo the signals used to direct soldiers on the battlefield. Part of the Tate Britain site was originally a First World War military hospital, making Philipsz’ piece all the more resonant.

White Rainbow, London, 25 November – 23 January 2016
Closely involved with the artistic avant-garde in Japan during the 1970s, Shigeo Anzaï captured the landmark exhibitions and events of the era on camera, and was the leading photographer of the Mono-ha movement (which explored the interdependency of natural and industrial materials). While working for the 10th Tokyo Biennale in 1970, Anzaï assisted Carl Andre, Daniel Buren and Richard Serra - documenting their groundbreaking performances, happenings and installations. This is Anzaï’s first solo exhibition in the UK, featuring rare photographs of Buren and Serra, plus important Mono-ha artists such as Jiro Takamatsu and Kishio Suga at work. Index I will be followed by a second show at White Rainbow focusing on Anzaï’s portraits of famous artists in summer 2016.

Whitechapel Gallery, London, 21 – 22 November 2015
Inspired by the legacy of innovative artist-filmmaker Derek Jarman, The Jarman Award recognises artists working with the moving image, celebrating experimentation and originality. This year, Adam Chodzko, Seamus Harahan, Gail Pickering, Alia Syed, Bedwyr Williams and Andrea Luka Zimmerman have been shortlisted, and you can catch screenings of their work – plus special talks and performances at the Whitechapel Gallery this weekend – in the final part of a UK-wide tour. Expect Syed, Harahan and Zimmerman to explore documentary, personal work, social space and locality, and Chodzko, Pickering and Williams to discuss history, narrative and storytelling.

Royal Museums Greenwich, London, 20 November – 28 March 2016
Samuel Pepys is one the most famous diarists in history, and no wonder: he witnessed first-hand many of the major events of 17th-century Britain. He was there at the execution of King Charles I and was on the ship that brought Charles II out of exile; he was in London during the Great Fire, the plague, the death of Oliver Cromwell and the overthrow of James II; he saw the greatest theatre, heard the greatest music, and read the most pioneering scientific writing of the age. What’s more, he wrote in a strikingly candid, touchingly human way about all of the above – showing how everyday life carried on regardless. This exhibition shows how tightly Pepys’ personal life was entwined with the public events of his era.

Tate Liverpool, 20 November – 14 February 2016
In Fahrenheit 451, Ray Bradbury’s 1953 sci-fi novel, works of literature are banned – meaning the only way to save them is to learn them by heart. This unusual, participatory exhibition takes this idea and invites us to imagine a scenario where the artworks on view are about to be banished. How best to preserve visual art in memory? Visitors are encouraged to recollect and represent their favourite works in a performance space, and when the exhibition closes they will be asked to replace those works in the empty gallery. Over 60 artworks from the Centre Pompidou, Tate and MMK Collections, by artists including Marcel Duchamp, On Kawara, Bridget Riley, Andy Warhol and Rachel Whiteread make up the “imaginary museum”.

Anna Coatman (@AnnaCoatman) is Assistant Editor of RA Magazine.