FluidHarmony: Defining an equal-tempered and hierarchical harmonic lexicon in the Fourier space

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Bernardes, G (Author) FEUP; Carvalho, N (Author) Other; Pereira, S (Author) Other

Journal

Title: Journal of New Music Research

Vol. 51

Pages: 142-161

ISSN: 0929-8215

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00Y-HJV

DOI: 10.1080/09298215.2023.2202641

Abstract (EN): FluidHarmony is an algorithmic method for defining a hierarchical harmonic lexicon in equal temperaments. It utilizes an enharmonic weighted Fourier transform space to represent pitch class set (pcsets) relations. The method ranks pcsets based on user-defined constraints: the importance of interval classes (ICs) and a reference pcset. Evaluation of 5,184 Western musical pieces from the 16th to 20th centuries shows FluidHarmony captures 8% of the corpus's harmony in its top pcsets. This highlights the role of ICs and a reference pcset in regulating harmony in Western tonal music while enabling systematic approaches to define hierarchies and establish metrics beyond 12-TET.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20