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Neo-Riemannian theory - Wikipedia

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Neo-Riemannian theory is a loose collection of ideas present in the writings of music theorists such as David Lewin, Brian Hyer, Richard Cohn, and Henry Klumpenhouwer. What binds these ideas is a central commitment to relating harmonies directly to each other, without necessary reference to a tonic. Initially, those harmonies were major and minor triads; subsequently, neo-Riemannian theory was extended to standard dissonant sonorities as well. Harmonic proximity is characteristically gauged by efficiency of voice leading. Thus, C major and E minor triads are close by virtue of requiring only a single semitonal shift to move from one to the other. Motion between proximate harmonies is described by simple transformations. For example, motion between a C major and E minor triad, in either direction, is executed by an "L" transformation. Extended progressions of harmonies are characteristically displayed on a geometric plane, or map, which portrays the entire system of harmonic relations.

Neo-Riemannian theory - Wikipedia Jump to content From Wikipedia, the free encyclopedia Collection of ideas in music theory Illustration of Riemann's 'dualist' system: minor as upside down major. Starting from the symmetrical chords, otonal chords flatten one note, while utonal chords sharpen one note, as observed by Richard Cohn. Neo-Riemannian theory is a loose collection of ideas present in the writings of music theorists such as David Lewin , Brian Hyer, Richard Cohn , and Henry Klumpenhouwer . What binds these ideas is a central commitment to relating harmonies directly to each other, wit

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