安东尼斯-斯特拉迪瓦里小提琴复制品上的塔尔蒂尼音色

Zoran Milivojević, Dragiša Balanesković, B. Prlincevic, Dijana Kostić
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摘要

本文的第一部分定义了塔蒂尼音。塔尔蒂尼音调尽管不存在于声学音频信号中,但在人类意识中却作为一种音频感觉被体验到,这是听觉系统非线性的结果。此外,由于声学机械非线性,一些乐器在演奏二重奏时也能重现塔蒂尼音。随后,定义了二次失真系数 $C_{2}$,作为衡量塔尔蒂尼音调强度的指标。论文的第二部分介绍了一项实验。在实验中,显示了对安东尼斯-斯特拉迪瓦里小提琴复制品上的塔尔蒂尼音调的分析结果。测试信号的基础是在测试小提琴上演奏的二声部(从 A4-E5 到 A4 - G6# 的二声部)。在频谱域对基音中的塔尔蒂尼音调进行了分析。分析结果(二次失真系数 $C_{2}$)用图形和表格显示。作为小提琴整个音域(音调 G3 - E6)中塔尔蒂尼音调强度的总体衡量标准,定义了平均二次失真系数。最后,介绍了在测试的小提琴和吉他 CG 510 上对塔尔蒂尼音色进行比较分析的结果。
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Tartini Tones on the Copy of Antonius Stradivarius Violin
In the first part of the paper, Tartini tone is defined. Tartini tone, despite the fact that it is not present in the acoustic audio signal, is experienced as an audio sensation in the human consciousness, which is a consequence of the nonlinearity of the hearing system. In addition, some musical instruments, due to acoustic-mechanical nonlinearity, can reproduce Tartini tones when playing dyads. After that, as a measure of the intensity of Tartini tones, the Quadratic distortion coefficient $C_{2}$ is defined. In the second part of the paper, an experiment is described. In the experiment, the results of the analysis of Tartini tones on the copy of Antonius Stradivarius violin, are shown. A Base of test signal was formed, which was created from the dyads played on the tested violin (dyads from tones A4-E5 to A4 - G6#). Analysis of Tartini tones from the Base, in the spectral domain, was performed. The results of the analysis (Quadratic distortion coefficient $C_{2}$) are shown using graphics and tables. As an overall measure of the intensity of the Tartini tones, for the entire range of the violin (tones G3 – E6), the Mean quadratic distortion coefficient is defined. Finally, the results of the comparative analysis of Tartini tones on the tested violin and acoustic guitar CG 510 are presented.
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