Tartini Tones on the Copy of Antonius Stradivarius Violin

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 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.