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The music at the very beginning when Hermione erases her parents' memories of her is heartbreaking, and really captures the feel of that scene, impressing upon the audience that this the beginning of the end of the series.
Alexandre Desplat's score for Deathly Hallows Part 1 has some fantastic moments as well. Nicholas Hooper created some amazing music found in a deleted scene from Half-Blood Prince. "Malfoy's Mission" is both unsettling and heartbreaking. "The Friends" is a simply heartwarming piece.
It's a Shout-Out to the other Quidditch music from Prisoner of Azkaban.
The victorious and exciting music when Ron is winning Quidditch. It is also used in the scene where Harry views Snape's memories in the Pensieve. "Harry and Hermione" and "When Ginny Kissed Harry" are both simply beautiful. Just this bombastic piece as Harry and Dumbledore arrive at Voldemort's Horcrux cave. Later on in the film, the panning shot over Hogwarts to Draco in the tower as it snows outside is great, and so is the music at the very end when the trio look out from the tower into the sunset. The music in the beginning of Half Blood Prince when the Death Eaters fly through London and destroy Diagon Alley along with Millennium Bridge, as well as the music in the slow-motion scene of the photographers taking all the pictures of Harry and Dumbledore. The ominous and emotional "Possession". The badass music that plays when the Order of the Phoenix and Dumbledore's Army battle the Death Eaters in The Department of Mysteries. The emotional yet uplifting theme of Dumbledore's Army. "Flight of the Order of the Phoenix", while Harry is being escorted to Grimmauld Place at the beginning of the fifth movie, definitely deserves a mention. The track on the soundtrack (though sadly not in the cut of the movie) comes complete with electric guitar to show the rebellious rockstars Fred and George are. The Harry Potter films have never once had bad music in them. Exhibit A: Nicholas Hooper's "Fireworks". John Williams wasn't the only one who could do Awesome Music for the Harry Potter films. Outside of scores, though, the Weird Sisters' music is great, "Magic Works" being a perfect slow dance song that sounds like something out of a John Hughes movie from The '80s. The tragic music during the death of Cedric. "The Story Continues", "Golden Egg", and "The Black Lake" are all epic pieces.
It goes from a light Irish-sounding tune and moves to a men's choir.
Patrick Doyle's music for the Quidditch World Cup opening.