Exploring Children's Stereotypes Through Drawings: The Case of Musical Performance

Drawings of 'a person' and of 'a person playing music' were collected from children aged seven to eight years and 10-11 years to discover whether children's musical representations would reflect gender differences evident in musical learning and performance, and the increased gender rigidity with age found in instrument preferences. As in previous drawing studies, same sex figures were overwhelmingly portrayed, although older girls drew more opposite sex figures than the other children. All except the older girls overwhelmingly drew same sex musicians irrespective of the gender stereotype of the instrument portrayed. The older girls drew similar numbers of male and female figures playing masculine instruments. Fewer feminine instruments were drawn by older than by younger boys. The increased gender rigidity with age accords with the results of the preference studies, but gender stereotyping was much weaker. This is discussed in relation to what the different methodologies measure.

Sound Synthesis for Contact-Driven Musical Instruments via Discretisation of Hamilton's Equations

Physical modelling of musical instruments involves studying nonlinear interactions between parts of the instrument. These can pose several difficulties concerning the accuracy and stability of numerical algorithms. In particular, when the underlying forces are non-analytic functions of the phase-space variables, a stability proof can only be obtained in limited cases. An approach has been recently presented by the authors, leading to unconditionally stable simulations for lumped collision models. In that study, discretisation of Hamilton’s equations instead of the usual Newton’s equation of motion yields a numerical scheme that can be proven to be energy conserving. In this paper, the above approach is extended to collisions of distributed objects. Namely, the interaction of an ideal string with a flat barrier is considered. The problem is formulated within the Hamiltonian framework and subsequently discretised. The resulting nonlinearmatrix equation can be shown to possess a unique solution, that enables the update of the algorithm. Energy conservation and thus numerical stability follows in a way similar to the lumped collision model. The existence of an analytic description of this interaction allows the validation of the model’s accuracy. The proposed methodology can be used in sound synthesis applications involving musical instruments where collisions occur either in a confined (e.g. hammer-string interaction, mallet impact) or in a distributed region (e.g. string-bridge or reed-mouthpiece interaction).