Rock Me Fibonacci: Using Recurrence Relations and State-Transition Matrices to Count Rock Drum Fill Patterns

Year: 2018 Authors: Joshua Holden

Core claim

State-transition matrices and recurrences can count constrained rock drum fill patterns, including variants with different note lengths and drum choices.

Topics

drum fills, recurrence relations, state-transition matrices, rhythm counting, musical pattern constraints

Domains

combinatorics, linear algebra, recurrence relations, matrix diagonalization, music, percussion, rhythm notation

Methods

rule-based modeling, recurrence equations, matrix formulation, diagonalization

Media

five-piece drum kit, drum notation staff, rock drum fills, cymbals

Source status

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