Contemporary music from the Western Classical tradition, a term usually reduced to simply "contemporary music," is widely considered as being quite under-represented on the current musical scene in comparison to the music from any other period. As a perspective from which to explore this aversion beyond the obvious likes and dislikes, our aim was to find non-observable variables or latent dimensions by means of psychological constructs modelling attitudes towards contemporary music in a relevant population, such as music teachers to-be, in order to inform thinking about how to effect a change in this aversion. In doing so, a quantitative psychometric instrument was developed, validated and applied to a sample of this population during their university training period. Retrieved data was analysed by exploratory and confirmatory factor analyses, leading to the proposal of a second-order, structural equations model comprising three constructs identified as "Perceived complexity & stridency", "Desire to discover" and "Aesthetic respect". Results could help in a) finding strategies to address aversion, both by the identification of its latent components and their interrelations; and b) proposing a model suitable to be compared to that of other population subgroups and to be connected to other variables for testing the effectiveness of future experimental actions in the teacher training context.