Presentation of the &quote;Resonance & Radiation&quote; spectrum (RR-spectrum) as a parameter to describe the sound characteristics of musicians playing monophonic instruments

Scientific Study from the year 2022 in the subject Physics - Acoustics, grade: nicht anwendbar, , language: English, abstract: A new model is proposed which offers the opportunity to describe and characterize the sound of a musician playing a monophonic instrument in such a way that audible differences can be expressed by two main parameters: 1) "e;virtual power spectrum"e; and 2) "e;Resonance & Radiation"e; spectrum of the analyzed sound. The "e;virtual power spectrum"e; can be calculated by using data of a Fast Fourier transformation (FFT) -analysis of the recorded sound for a mathematical trend analysis delivering a logarithmic function. For each pitch played with different intensities, a "e;virtual power spectrum"e; and the related logarithmic function can be calculated and can function as a parameter to describe certain characteristics of the sound. The "e;Resonance & Radiation"e; spectrum can be calculated by comparing the dB-values of the Harmonics of a sound (determined through FFT-analysis) with the calculated "e;virtual power spectrum"e;. The "e;Resonance & Radiation"e; spectrum is independent of a) the pitch played and b) the playing intensity, and is therefore a further parameter characterizing the sound of a playing system (musician & instrument). The model is valid for several monophonic wind instruments as well as for the Cello. Further research may show whether this model can be used for other monophonic instruments as well.