For example, a designer can use an animation or overlay creation tool to generate a model of a penguin having certain control points in the model. A designer can select certain motions of the control points that map to certain audio characteristics as determined by the designer while maintaining an element of randomness to the motions of the animated model. The control points can have possible motions assigned to describe all possible movements of all parts of the model. A designer can then assign a probability to each motion, so that during a displayed animation, the likelihood of certain motions occurring are set probabilistically by the designer. Motions which the designer does not want to occur are assigned a probability of zero, or are removed from the state-space. In addition to selection of motions for each control point, a display speed can be selected as a harmonic of an audio tempo to allow the pseudorandom motions to be matched automatically to a tempo of music. In other embodiments, other characteristics can be set as part of a state-space for a model. When the computer animation is operating on a device, the designer's selections of probabilities for the model's state space influence the animation motions of the model. By matching actions to a tempo of an audio stream, the computer model operating on a device can display an animation with random elements that are matched to audio data on or around the device. This can create a “dancing” animation that includes randomness selected from a large pool of possible motions, but with the motions filtered by a designer from all possible motions to emphasize motions that illustrate characteristics selected by a designer.