Taxonomic categorisation of motivic patterns
Lartillot, O. (2009). Taxonomic categorisation of motivic patterns. Musicae Scientiae, Discussion Forum 4B, 25-46.
The issue of pattern description in computational models for motivic analysis is closely related to the cognitive debate on categorisation, in which are traditionally opposed well-defined and ill-defined categorisations. The ill-defined conceptualisation has been considered as a suitable framework for the formalisation of musical categorisation as it takes into account motivic variations. It seems that computational models rely rather on well-defined categorisation, due to its better controllability. The computational model we previously presented (Lartillot & Toiviainen, 2007) strikes a balance by developing a new flexible framework allowing the taking into account of unrestricted variability, but in the same time ensuring a precise description of whole categories, including their underlying variations. For that purpose, categories are not described by one single prototype, but on the contrary by a taxonomy of subcategories forming a multi-levelled hierarchy. The proposed computational model forms a complex system of interdependencies: its behaviour cannot be predicted but can only be observed through a computational running on actual musical examples. The behaviour emerging from the model offers hence a possible explanation of listeners cognitive capabilities and might indicate necessary conditions for cognitively relevant modelling. ...