Given there's a finite number of notes on a scale, can we still find a brand new melody? Perhaps they've all been written already!

The funeral of the great flamenco guitarist Paco de Lucía this week reminded us of the mathematical and musical reasons we love flamenco.

The universal machine is a musical about Alan Turing, the mathematician and WWII code breaker who was convicted of homosexuality in the 1950s, chemically castrated as a result, and died young in mysterious circumstances. How do you turn such a story, and the maths in it, into a musical? We talked to writer and director David Byrne, Richard Delaney, who plays Turing, and Assistant Director Natalie York.

Fractals are a treat for your eyes, but what about your ears? Dmitry Kormann, a composer/keyboardist from São Paulo, Brazil, explains how he integrates fractal-like patterns in the very structure of his music, to obtain beautiful results.