Some observations on autocorrelated patterns within computational meter identification

IF 0.5 2区 数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
C. White
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引用次数: 1

Abstract

The computational approach of autocorrelation relies on recurrent patterns within a musical signal to identify and analyze the meter of musical passages. This paper suggests that the autocorrelation process can act as a computational proxy for the act of period extraction, a crucial aspect of the cognition of musical meter, by identifying periodicities with which similar events tend to occur within a musical signal. Three analytical vignettes highlight three aspects of the identified patterns: (1) that the similarities between manifestations of the same patterns are often inexact, (2) that these patterns have ambiguous boundaries, and (3) that many more patterns exist on the musical surface than contribute to the passage's notated/felt meter, each of which overlaps with observations from music theory and behavioral research. An Online Supplement at chriswmwhite.com/autocorrelation contains accompanying data.
计算仪表识别中自相关模式的一些观察
自相关的计算方法依赖于音乐信号中的循环模式来识别和分析音乐段落的节拍。本文认为,自相关过程可以作为周期提取行为的计算代理,周期提取是节拍认知的一个关键方面,通过识别音乐信号中类似事件倾向于发生的周期性。三个分析片段突出了已识别模式的三个方面:(1)相同模式的表现形式之间的相似性通常是不精确的,(2)这些模式具有模糊的边界,(3)在音乐表面上存在的模式比对段落的标记/感觉节拍有贡献的模式更多,每一个模式都与音乐理论和行为研究的观察重叠。在chriswmwhite.com/autocorrelation的在线补充包含附带的数据。
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
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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