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

IF 1.1 4区计算机科学 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of New Music Research Pub Date : 2022-05-27 DOI:10.1080/09298215.2023.2202641

Gilberto Bernardes, Nádia Carvalho, Samuel Pereira

引用次数: 0

Abstract

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.

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FluidHarmony:在傅里叶空间中定义一个等调和和分层调和词汇

FluidHarmony是一种算法方法，用于在相同的气质中定义层次调和词典。它利用增强加权傅立叶变换空间来表示基音类集（pcset）关系。该方法基于用户定义的约束对pcset进行排名：区间类（IC）和引用pcset的重要性。对16至20世纪5184首西方音乐作品的评估显示，FluidHarmony在其顶级PC中捕捉到了语料库8%的和声。这突出了IC和参考PC集在调节西方音调音乐和谐方面的作用，同时使系统方法能够定义层次结构并建立12-TET以外的指标。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of New Music Research 工程技术-计算机：跨学科应用

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of New Music Research (JNMR) publishes material which increases our understanding of music and musical processes by systematic, scientific and technological means. Research published in the journal is innovative, empirically grounded and often, but not exclusively, uses quantitative methods. Articles are both musically relevant and scientifically rigorous, giving full technical details. No bounds are placed on the music or musical behaviours at issue: popular music, music of diverse cultures and the canon of western classical music are all within the Journal’s scope. Articles deal with theory, analysis, composition, performance, uses of music, instruments and other music technologies. The Journal was founded in 1972 with the original title Interface to reflect its interdisciplinary nature, drawing on musicology (including music theory), computer science, psychology, acoustics, philosophy, and other disciplines.