ESTIMATION OF THE TARTINI TONE AT VIOLA

Zoran Milojević, Ratko Ivkobić, Dragiša Balanesković
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Abstract

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 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 C2 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 string instrument viola, are shown. A Base of test signal was formed, which was created from the dyads played on the tested viola (dyads from tones D4 - A4 to D4 – A5). The analysis of Tartini tones in the spectral domain, was performed. The results of the analysis (Quadratic distortion coefficient C2) are shown using graphics and tables. As an overall measure of the intensity of the Tartini tones, for the entire range of the viola (tones C3 – A5), the mean quadratic distortion coefficient was found. Finally, the results of the comparative analysis of Tartini tones on the tested viola, acoustic guitar CG 510 and the copy of Antonius Stradivarius violin, are presented.
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中提琴塔尔蒂尼音色的估算
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,但在人类意识中却能作为一种音频感觉体验到,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可以重现塔蒂尼音。随后,定义了二次失真系数 C2,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,显示了对弦乐器中提琴的塔尔蒂尼音调的分析结果。测试信号基础是由测试中提琴演奏的二声部(从 D4 - A4 到 D4 - A5 的二声部)形成的。对塔尔蒂尼音调进行了频谱分析。分析结果(二次失真系数 C2)用图形和表格显示。作为中提琴整个音域(音调 C3 - A5)中塔尔蒂尼音调强度的总体衡量标准,找到了平均二次失真系数。最后,介绍了对测试的中提琴、CG 510 原声吉他和安东尼斯-斯特拉迪瓦里小提琴复制品的塔尔蒂尼音色进行比较分析的结果。
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