ESTIMATION OF THE TARTINI TONE AT VIOLA
DOI:
https://doi.org/10.61837/mbuir020124167mKeywords:
Non-linearity, Distortion, Quadratic Difference Tone, Tartini tone, DyadAbstract
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.
References
Tartini, G., (1754) Trattato di musica secondo la vera scienza dell’armonia, Stamperia del seminario, Padova,.
Lohri, A., Carral, S., Chatziioannou, V. (2010). Combination tones in violins, Archives of Acoustics, 36(4), 727–740.
Helmholtz, H. (1877). On the Sensations of Tone as a Physiological Basis for the Theory of Music, Longmans, Green, and Co.
Caselli, G., Cecchi, G., Malacarne, M., Masetti, G. (2020). Analysis of violin combination tones and their contribution to Tartini third tone, Savart Journal, 1(9), 1-6.
Fastl, H., Zwicker, E. (2007). Psychoacoutics: Facts and Models, Springer Series in Information Sciences, 22, Berlin: Springer..
Milivojević, Z., Mladenović, M., Cekić, M. (2023). Tartini Tone on the Acoustic Guitar, Proceeding of Academy of Applied Technical and Preschool Studies, (1–4), Niš,.
Milivojević, Z., Veličković, Z., Balanesković, D. (2014). Inharmonicity of the Copy of Antonius Stradivarius Violin, ETF Journal of Electrical Engineering, 20(1), 94-106, September.
Milivojević, Z., Prlinčević, B., Kostić, D. (2024). Tartini Tones on the Copy of Antonius Stradivarius Violin, 28th International Conference on Information Technology (IT), Žabljak, Crna Gora.
Milivojević, Z., Balanesković, D., Prlinčević, B., Cekić, M. (2024). Tartini Tone on the Electric Guitar, International Multidisciplinary Conference “Challenges of Contemporary Higher Education” – CCHE 2024, (1), (269 – 275), Kopaonik.
Kendall, S., Haworth, C., Cadiz, R. (2014). Sound Synthesis with Auditory Distortion Products, Computer Music Journal, 38(4), 5–23.
Avan, P., Büki, B., Petit, C. (2013). Auditory Distortions: Origins and Functions, Physiol Rev, (93), 1563–1619.
