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分形节奏波动与脉搏预测

Fractal Tempo Fluctuation and Pulse Prediction.

作者信息

Rankin Summer K, Large Edward W, Fink Philip W

机构信息

Florida Atlantic University.

Massey University, Palmerston North, New Zealand.

出版信息

Music Percept. 2009 Jun;26(5):401-413. doi: 10.1525/mp.2009.26.5.401.

Abstract

fluctuating tempi of music performance. In Experiment 1, four pieces from different musical styles were chosen, and performances were recorded from a skilled pianist who was instructed to play with natural expression. Spectral and rescaled range analyses on interbeat interval time-series revealed long-range (1/ type) serial correlations and fractal scaling in each piece. Stimuli for Experiment 2 included two of the performances from Experiment 1, with mechanical versions serving as controls. Participants tapped the beat at ¼- and ⅛-note metrical levels, successfully adapting to large tempo fluctuations in both performances. Participants predicted the structured tempo fluctuations, with superior performance at the ¼-note level. Thus, listeners may exploit long-range correlations and fractal scaling to predict tempo changes in music.

摘要

音乐表演中波动的节奏。在实验1中,选择了来自不同音乐风格的四首曲子,并记录了一位熟练的钢琴家按照自然表现力进行演奏的过程。对节拍间隔时间序列进行频谱分析和重标极差分析,发现每首曲子都存在长程(1/f型)序列相关性和分形标度。实验2的刺激材料包括实验1中的两场演奏,机械版本作为对照。参与者在四分之一音符和八分之一音符的节拍水平上跟随节拍敲击,成功适应了两场演奏中的大幅度节奏波动。参与者能够预测有规律的节奏波动,在四分之一音符水平上表现更佳。因此,听众可能会利用长程相关性和分形标度来预测音乐中的节奏变化。

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