RYAN LINDVEIT
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Neo-Riemannian Transformations

Neo-Riemannian Transformations

Definition: Relates a major triad and the minor triad sharing the same root, such as C and Cm
Action (Major)C major → C minor (third lowered)
Action (Minor)C minor → C major (third raised)
AssociationsDuality, opposition, refusal of tonicity
ExamplesGoldenthal – Titus (1999); Elfman – Batman (1989)
Definition: Relates a major triad to its relative minor, such as C and Am
Action (Major)C major → A minor
Action (Minor)A minor → C major
AssociationsSmooth diatonic motion, tonal flexibility
ExamplesWilliams – Star Wars (1977); Shore – The Lord of the Rings (2001)
Definition: Relates a major triad and the minor triad a major third higher, such as C and Em
Action (Major)C major → E minor
Action (Minor)C minor → Ab major
AssociationsLeading-tone tension, chromatic mediant relation
ExamplesKorngold – Robin Hood (1938); Howard – Signs (2002)
Definition: Relates a major triad and the minor triad one semitone higher, such as C and C♯m
Action (Major)C major → E major
Action (Minor)C minor → Ab minor
AssociationsChromatic mediants, sliding symmetry
ExamplesHerrmann – Vertigo (1958)
Definition: Takes a major chord of root X to the minor chord whose root is a perfect fifth below X, and vice-versa. Two voices move by half-step, which is why this is "near" instead of "far."
Action (Major)C major → G minor
Action (Minor)C minor → F major
AssociationsSubtle shift near diatonic circle of fifths
ExamplesGlass – The Hours (2002)
Definition: Takes a major chord of root X to the minor chord whose root is a perfect fifth above X, and vice-versa. Two voices move by whole-step, which is why this is "far" instead of "near."
Action (Major)C major → F# minor
Action (Minor)C minor → Gb major
AssociationsRemote fifth relation, destabilization
ExamplesMorricone – The Mission (1986)
Definition: Takes a chord of root X to a chord of the same quality whose root is a perfect fifth above X.
Action (Major)C major → G major
Action (Minor)C minor → G minor
AssociationsFunctional dominant-tonic relations
ExamplesSteiner – Gone with the Wind (1939)
Definition: Relates a major triad and the minor triad a major third below, such as C and A♭m. Unique because it shares no common tones; each note shifts by a semitone.
Action (Major)C major → Ab minor
Action (Minor)C minor → A major
AssociationsHexatonic systems, maximal contrast
ExamplesWagner – Tristan und Isolde; Williams – Jaws (1975)
Definition: Go to a triad of the same quality a major third away.
ActionTwo-step compound transformations
AssociationsCycles, systematic transformations
ExamplesZimmer – Inception (2010)
Definition: Go to a triad of the same quality a minor third away.
ActionRelative–Parallel sequences
AssociationsAlternating major/minor cycles
ExamplesElfman – Edward Scissorhands (1990)
Definition: Transpose by six semitones (equivalent to a tritone).
ActionTransposition by tritone
AssociationsDistant symmetrical axis
ExamplesHerrmann – Psycho (1960)
Definition: Transpose up or down by one or two semitones.
ActionChromatic step transpositions
AssociationsChromatic saturation, sliding motion
ExamplesLigeti – 2001: A Space Odyssey (1968, temp track)
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