No composer looms over modern jazz quite like Johann Sebastian Bach, whose harmonic rigour seems to have provided the basis for bebop and all that followed. Listen to the endlessly mutating semiquavers tumbling from Charlie Parker’s saxophone and it could be the top line of a Bach fantasia; the jolting cycle of chords in John Coltrane’s Giant Steps could come straight from a Bach fugue and Bach’s contrapuntal techniques crop up in countless jazz pianists, from Bill Evans to Nina Simone. Bach certainly casts a long shadow over US pianist Brad Mehldau: even when he’s gently mutilating pieces by Radiohead, Nick Drake or the Beatles, he sounds like Glenn Gould ripping into the Goldberg Variations. Which is why it comes as no surprise to see Mehldau recording an entire album inspired by Bach. However, this is not a jazz album. Instead of riffing on Bach themes, as the likes of Jacques Loussier or the Modern Jazz Quartet have done in the past, After Bach sees Mehldau using Bach’s methodology. Mehldau plays five of Bach’s canonic 48 Preludes and Fugues, each followed by his own modern 21st-century response.