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Built with flair and innovation into the shell of the Renaissance-era seaward walls, this contemporary art gallery is one of the finest on the island. Its temporary exhibitions are worth viewing, but the permanent collection – works by Miró, Barceló and Picasso – give the gallery its cachet. Entry on Fridays is by donation, and anyone turning up on a bike, on any day, is charged just €2.

The 21st-century concrete complex is cleverly built among the fortifications, including the partly restored remains of an 11th-century Muslim-era tower (on your right as you arrive from Carrer de Sant Pere). Inside, the ground floor houses the core of the permanent exhibition, starting with a section on Mallorcan landscapes by local artists and others from abroad; the big names here include Valencia's Joaquín Sorolla, Mallorca's own Miquel Barceló and the Catalan Modernista artist Santiago Rusiñol.

Also on the ground floor and part of the permanent collection is a room devoted to the works of Joan Miró, while on the top floor is an intriguing collection of ceramics by Pablo Picasso; after viewing the latter, step out onto the ramparts for fine views. In sum, it's an impressive rather than extraordinary collection that's well worth a couple of hours of your time.