The Music from Drawing Restraint 9 is a music album created by Björk in collaboration with her partner Matthew Barney for his film of the same title. For this project Björk traveled to Japan to study ancient Japanese music. Several tracks are made with the sound of the shō, a Japanese instrument which contains 16 various reeds; the shō performances are from Mayumi Miyata, one of the world's greatest shō players. She also appears in the film, playing her instrument. The song "Holographic Entrypoint" features a Noh score and vocal performance by Shiro Nomura. Björk brought "Nameless" back from her 2003 tour, and, with the help of Leila Arab, looped and edited it to create the track "Storm." Alternative folk singer Will Oldham (also known as Bonnie 'Prince' Billy) is featured on the first track, "Gratitude," singing a letter from a Japanese fisherman to General Douglas MacArthur set to a melody by Matthew Barney. Björk's vocals only feature on the tracks "Bath", "Storm", and "Cetacea". "Gratitude", "Shimenawa" and "Cetacea" feature harp player Zeena Parkins, who previously collaborated with Björk on her 2001 album Vespertine.

The album was re-released in 2006 as a DualDisc including new DTS 96/24 5.1-channel surround sound mixes, plus the extra track "Petrolatum". The DualDisc also formed part of the (____surrounded): box set.