THE INFLUENCE OF THE VIBRATO EXTEND ON THE INHARMONICITY FACTOR TO THE STRINGED MUSICAL INSTRUMENTS
Keywords:
Fundamental frequency, Harmonic, Inharmonic, Vibrato Extend, Vibrato RateAbstract
This paper analyzes the effect of the vibrato technique on inharmonicity of the tone played on stringed musical instruments. In the first part of the paper, the inharmonicity of the stringed musical instruments, which is a consequence of the irregular oscillation of the tensioned string, is described. First, the inharmonicity factor β, which is a measure of inharmonicity, is defined. After that, the parameters for tones with vibrato effect: intonation (fi), Vibrato Extend (VE) and Vibrato Rate (VR), are defined. In the second part of the paper, the Experiment is described. In the Experiment, the effect of Vibrato Extend VE on the inharmonicity factor β was analyzed. Tones were played on the Fender Stratocaster electric guitar using the vibrato technique, with the B4 starting tone. The all played tones were recorded in the form of a wav file (musical signals), and, from them, the Test Base was formed. The results of the Experiment are shown graphically. The change of the tension force of the string, F, as well as the dimensions of the string (length L, diameter d), which occurred as a result of the transferal displacement h of the string, i.e. Vibrato Extend, was analyzed. By applying the Fourier transform, the amplitude characteristic of musical signals is determined. After that, the positions of the fundamental frequency f0 and its harmonics fk, were analyzed. Based on the analysis, the inharmonicity factors β for all displacements h, i.e. for Vibrato Extend, were calculated. Through statistical analysis, the analytical function, that connects the inharmonicity factor β with Vibrato Extend, was calculated. Finally, it was shown that increasing the Vibrato Extend leads to a decrease in the inharmonicity factor.
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