"Lennon's completely instrumental album 'Asterisms' carries his artistic vision forward while not sounding much like anything he's made before ... It's a blend of cosmic jazz and ambient cinema-scapes with undercurrents of progressive and experimental rock structure throughout. The eerie, meandering modes of opening track "Starwater" and the electric piano and odd-metered time signature of "Thinking of M" are both indebted to Radiohead, but both grow into dense jazz workouts. Some tunes are more traditionally jazz-informed (as on the fusion-leaning "Acidalia") and others, like the circular space blues of "Heliopause," tie together elements of dub, noir exotica, and the kind of interstellar jazz that Sun Ra spent his career perfecting. The broad canopy of sounds 'Asterisms' puts forth leaves its deeper intentions open to interpretation, but the album's yearning melodies and wistful tone bear more of Lennon's personal stamp than its woozy flow might first suggest"