On Parsimonious Sequences as Scales in Western Music

Year: 2005 Authors: Richard Hermann; Jack Douthett

Core claim

Parsimonious scales can be enumerated and related systematically through binomial coefficients and Fibonacci structure across boundary intervals.

Topics

scale enumeration, Fibonacci numbers, modal relationships, post-tonal theory

Domains

combinatorics, binomial coefficients, Fibonacci sequence, equivalence classes, music theory, jazz theory, modality, pedagogy

Methods

enumeration technique, combinatorial counting, interval-sequence analysis, theoretical comparison

Media

scale interval strings, music notation, pitch-class sequences

Source status

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