Musical instruments parametric evolution

This paper presents a study on the evolution of the perceptually most important parameters of musical instrument sounds as a function of the most important playing styles, namely the pitch and intensity. The main parameter to change when varying the intensity is the spectral envelope, and this change can be modeled with a spectral deviation, which in turn is modeled by an asymptotic exponential. The asymptotic model parameters are modeled as a function of the pitch in the pitch model. The evolution of the model parameters is analyzed for many musical instruments, including struck, plucked and bowed string instruments and various wind instruments. In addition to the spectral deviation dynamic model, each note also has a static spectrum, which is independent of the dynamic level. The static spectrum consists of a slope and of different spectral irregularities, such as the spectral holes introduced by the hammer impact position in the piano, or the weak even harmonics of the clarinet. In conclusion, a versatile dynamic model is introduced. This model has several musically interesting parameters, such as the asymptotic gain and brightness and the velocity sensitivity. It is currently implemented in a music synthesizer for further experiments.