This article demonstrates how to obtain a periodicity-based description of cyclic rhythms
using the discrete Fourier transform and applies this to understanding Steve Reich's use of …

When listening to minimalist music, one will more than likely notice the scarcity of materials.
Small motifs and repetition pervade the surface, and one might be inclined to interpret such …

Recent research has demonstrated a number of applications of the discrete Fourier
transform to cyclic rhythms, addressing amongst other issues questions about …

We propose in this article to generate good rhythms from geometric properties. This
approach is based on the work by Toussaint, who investigated the properties that make a …

The aim of this paper is to argue that complementation is an operation similarly fundamental
to music theory as transposition and inversion. We focus on studying the chromatic …

Syncopation in ragtime music has been defined in multiple ways. In this study we propose a
method using the Hadamard transform. We extract four-measure phrases from a corpus of …

Abstract Music for Pieces of Wood (1973), a work in three sections for five claves, was one of
Steve Reich's first works to explicitly focus on pattern development, specifically between …

Abstract Music for Pieces of Wood (1973), a work in three sections for five claves, was one of
Steve Reich's first works to explicitly focus on pattern development, specifically between …

This paper explores the classification of metric types using different feature representations.
Using weighted timepoint, DFT, and autocorrelation, we train feedforward neural networks to …

Analyzing Hemiolas with the Discrete Fourier Transform Page 1 Formal definition: ● Variables:
X(k): kth component (period = N/k), k in [0, N- 1], x: sampled signal length N, n: sample index …