Triadic patterns across classical and popular music corpora: stylistic conventions, or characteristic idioms?

IF 0.5 2区数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematics and Music Pub Date : 2021-05-04 DOI:10.1080/17459737.2021.1925762

David R. W. Sears, D. Forrest

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引用次数: 6

Abstract

Many musical traditions – from Western art, to popular and commercial – organize pitch phenomena around a referential pitch class (or tonic) and feature triads and seventh chords. As a result, triadic progressions associated with one tradition sometimes resurface in others. How, then, are we to distinguish between the conventional harmonic patterns that span several time periods, and the characteristic idioms that delimit a single period? This essay presents a comparative study of triadic progressions in four data sets comprised of expert harmonic annotations: Annotated Beethoven Corpus (ABC), Theme and Variation Encodings with Roman Numerals (TAVERN), Rolling Stone-200 (RS-200), and McGill Billboard (Billboard). Using methods for counting, filtering, and ranking multichord expressions, we reveal conventional and characteristic progressions and examine broad trends over time. We also include an accompanying standalone application that allows users to adjust various stages of the model pipeline and export the data for further exploration and analysis.

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古典和流行音乐语料库中的三合一模式:风格惯例，还是特征习语?

许多音乐传统-从西方艺术到流行和商业-围绕一个参考音高类(或主音)组织音高现象，并以三和弦和七和弦为特征。因此，与一种传统相关的三合一进程有时会在其他传统中重新出现。那么，我们如何区分跨越几个时期的传统和声模式和限定一个时期的特征习语呢?本文介绍了由专家和声注释组成的四个数据集的三进阶的比较研究:注释贝多芬语料库(ABC)，罗马数字的主题和变奏编码(酒馆)，滚石-200 (RS-200)和麦吉尔广告牌(广告牌)。使用计数、过滤和排序多弦表达式的方法，我们揭示了传统和特征的进展，并研究了随着时间的推移的广泛趋势。我们还附带了一个独立的应用程序，它允许用户调整模型管道的各个阶段，并导出数据以进行进一步的探索和分析。

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 Mathematics and Music 数学-数学跨学科应用

CiteScore

1.90

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematics and Music aims to advance the use of mathematical modelling and computation in music theory. The Journal focuses on mathematical approaches to musical structures and processes, including mathematical investigations into music-theoretic or compositional issues as well as mathematically motivated analyses of musical works or performances. In consideration of the deep unsolved ontological and epistemological questions concerning knowledge about music, the Journal is open to a broad array of methodologies and topics, particularly those outside of established research fields such as acoustics, sound engineering, auditory perception, linguistics etc.