| dc.description.abstract | This paper expands upon the analysis and synthesis technique proposed by Kirby and Sandler in 2021 (1), which investigates how the evolution of drum modes change with strike intensity. This was observed in the discrete cosine transform (DCT) of unwindowed drum sounds and enabled the synthesis of drum sounds whose intensity is intermediate between those analysed. In this paper, the 67 modal features of a tom-tom drum are modelled analytically, to move towards a complete synthesis. The phase function of each modal feature is modelled with a linear rational function. The amplitude function of the modal feature is first decomposed into odd and even components, and each component fitted using functions such as an inverse Gaussian. The evolution of the parameters of these analytical functions can be mapped onto a single controllable parameter that represents strike intensity. This leads to an analytical model of a modal feature that can be used to build a physical model of a tom-tom, which will be illustrated by an interactive demonstrator. | en_US |
