Poverty and Polyphony: A Connection between Economics and Music

Year: 2007 Authors: Rachel W. Hall; Dmitri Tymoczko

Core claim

Reasonable voice-leading comparisons are equivalent to submajorization, enabling analogous measures of chord distance and economic inequality.

Topics

voice leading, submajorization, welfare economics, polyphonic music, chord similarity

Domains

partial order, quotient spaces, submajorization, real numbers, geometry, music theory, counterpoint, polyphonic composition

Methods

formal analogy, metric constraints, quotient-space modeling, comparative ordering, example analysis

Media

chord progressions, pitch sets, voice-leading mappings, notation diagrams

Source status

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