In this chapter we follow this economy of means way to present several vari- eties of CCP calculi, starting from a very basic one and building from it by adding new features. A fundamental one for music applications is the ability to represent temporal behavior. This can be introduced within the context of determinate (tcc, utcc) or non-determinate (ntcc) computation. For the determinate case, we show how the addition of a process abstraction feature (utcc) allows to model dynamic musical structures in a very simple way. In particular, we model a dynamic version of interactive scores ([ALL 07]). For the nondeterminate case, we use the possibility of defining many alternative computational paths to model an agent following different rhythmic patterns constructed from a given basic one. We then go on to consider a more metrical notion of time (rtcc) based on uniform ticks used by processes to define their time of execution in a more fine-grained way, or to cause preemption of other processes at more precisely defined points in time. We use these new real-time features to describe a simple model of a basic form of musical dissonances.