A computational exploration of melodic patterns in Arab-Andalusian music

IF 0.5 2区 数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Thomas Nuttall, M. Casado, Andrés Ferraro, D. Conklin, Rafael Caro Repetto
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引用次数: 2

Abstract

Here we present a computational approach to identifying melodic patterns in a dataset of 145 MusicXML scores with the aim of contributing to centonization theory in the Moroccan tradition of Arab-Andalusian Music – a theory in development by expert performer and researcher of this tradition, Amin Chaachoo. Central to his work is the definition of a set of characteristic patterns, or centos, for each ṭab‘, or melodic mode. We apply three methods: TF-IDF, Maximally General Distinctive Patterns (MGDP) and the Structure Induction Algorithm (SIA) to identify characteristic patterns at the level of ṭab‘. A substantial number of the centos proposed by Chaachoo are identified and new melodic patterns are retrieved. A discussion with Chaachoo about the obtained results promoted the elicitation of other categories of recurrent patterns in the tradition different from the centos, contributing to a deeper musicological knowledge of the tradition.
阿拉伯-安达卢西亚音乐旋律模式的计算探索
在这里,我们提出了一种计算方法来识别145个MusicXML分数的数据集中的旋律模式,目的是为摩洛哥阿拉伯-安达卢西亚音乐传统中的集中化理论做出贡献——这是一种由该传统的专家演奏家和研究员Amin Chaachoo发展的理论。他工作的核心是为每个ṭab '或旋律模式定义一组特征模式,或中心音。我们采用TF-IDF、MGDP和SIA三种方法来识别ṭab级别的特征模式。Chaachoo提出的大量中音被识别出来,新的旋律模式被检索出来。与Chaachoo就所获得的结果进行的讨论促进了对传统中不同于中音的其他类型的重复模式的启发,有助于对传统的更深入的音乐学知识。
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来源期刊
Journal of Mathematics and Music
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
18
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.
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