For his main title music for Alfred Hitchcock’s Vertigo, Bernard Herrmann used alternately ascending and descending arpeggiated chords in contrary motion in the treble and bass voices; no clear direction, up or down, is established, nor is a harmonic center confirmed.
With its almost uninterrupted, destabilizing undulation, the music provides a musical evocation of vertigo that is reinforced by Hitchcock’s spiraling geometric images.
This according to “The language of music: A brief analysis of Vertigo” by Kathryn Kalinak, an essay included in her Settling the score: Music and the classical Hollywood film (Madison: University of Wisconsin Press, 1992) and reprinted in Movie music: The film reader (London: Routledge, 2003).
Today is Bernard Herrmann’s 110th birthday! Below, the virtiginous title sequence in question.
For his 1991 remake of J. Lee Thompson’s 1962 film Cape fear, Martin Scorsese had the Bernard Herrmann score of the original adapted by Elmer Bernstein.
The score was effectively re-composed for the later film, with Bernstein taking its basic components and redeploying them in often entirely new musical and filmic contexts, while also combining them with his own newly composed music and further preexisting material from Herrmann’s rejected score for Hitchcock’s Torn curtain (1966).
Bernstein later said that Scorsese “wanted the atmosphere that [Herrmann’s 1962 score] provides” and that it was “much more appropriate for the remake…the first film was not up to the strength of that score.”
This according to “Cape Fear: Remaking a film score” by Jonathan Godsall (The soundtrack IV/2  pp. 117–135). Below, Cady’s ill-advised release from prison.
A five-note motive in Rahmaninov’s Ostrov mërtvyh (The isle of the dead, op. 29), which evokes the opening of the Dies irae melody used by Berlioz and Liszt, is strikingly similar to what Bernard Herrmann referred to as the motive of power or fate in his score for Citizen Kane.
Rahmaninov’s work was inspired by Arnold Böcklin’s painting Die Toteninsel (above; click to enlarge), and Herrmann’s statements about his creative process suggest that the opening images of the film might have unconsciously reminded him of the painting, which in turn could have aroused an association with Rahmaninov’s symphonic poem.
This according to “The Dies irae in Citizen Kane: Musical hermeneutics applied to film music” by William H. Rosar, an essay included in Film music: Critical approaches (New York: Continuum, 2001, pp. 103–116). Below, the first minutes of Citizen Kane.
Bernard Herrmann’s score for Robert Wise’s The day the earth stood still (1950) is widely celebrated among film historians, and its use of theremins and other electronic instruments makes it the first large-scale electronic music composition in history.
Three considerations explain the perceived suspension of motion in the film’s opening title sequence: nullification of harmonic progress through polytonality, nullification of rhythmic pulse through polyrhythms, and nullification of acoustical interaction through the use of electronic instruments and tape manipulations.
This accordting to “Suspended motion in the title scene from The day the earth stood still” by Stephen Husarik, an essay included in Sounds of the future: Essays on music in science fiction film (Jefferson: McFarland, 2010). Below, a colorized version of the sequence in question.