Scenarios 4 and 5 cover continuous distributions, again in static contexts. These scenarios measure effectiveness by comparing the expected mean and variance with the statistics obtained from populations. Scenario 6 covers discrete distributions with evolving weights, with effectiveness being gauged through the number of samples required to establish a trend. Scenario 7 covers conditional distributions through the paradigm of the Markov chain. Here a realization is deemed effective if it represents the least-weighted transition at least once.
Process algebra is used to model concurrent systems, of which music is a good example.
The first composition discussed, Ant Music, is a musical interpretation of Tofts's formal simulation of insect behavior. The second composition, Zoion, is a musical rendition of the breeding and evolution of families of musical creatures. The author proposes a new approach to musical instrument design that addresses the variability and extent of gestural expression and movement capabilities of individual performers. The role of representation of musical performance in optimizing performer-instrument compatibility is discussed. The author then focuses on musical performance involving use of the human hand.