His most lasting contribution to music theory (researched by contemporary American theorist Richard Cohn) concerns chord relations.
His work has influenced later theorists, such as Richard Cohn, Robert Morris, Henry Klumpenhouwer, John Clough, Brian Hyer, and Norman Carey and David Clampitt.
Among the leading American proponents acknowledging Lubin's contribution in this area are Richard Cohn, Fred Lerdahl and Edward Gollin.
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Following Lewin's revival (in GMIT) of Hugo Riemann's three contextual inversion operations on triads (parallel, relative, and Leittonwechsel) as formal transformations, the branch of transformation theory called Neo-Riemannian theory was popularized by Brian Hyer (1995), Michael Kevin Mooney (1996), Richard Cohn (1997), and an entire issue of the Journal of Music Theory (42/2, 1998).