Paper introduces some problems of human creative process machine modeling through the example of music. Authors make an attempt to rediscover the function-based music representation. Both for automated and manual music analysis, functional way to represent music has some advantages comparing to widely used approaches based on graph, geometric or event-set models, namely: better representation of the composition's structure, ability to use proper concepts and terms in regards to the musicology, and good possibility to visualize music structure with use of functional flow block diagrams. The formal model of function-based music representation together with an example of constructing a functional basis gives links to the problems of structural synthesis in regards to music.