In the last period of his life, John Cage used time brackets in order to define the musical event placement on the timeline. In previous work we modeled these time brackets by parallelograms to build computer interfaces for interpretation assistance in the context of Cage's Two 5 and Five 3. Over time, we understood that the shape, used to represent time brackets, brought important information for the interpretation and musical analysis. The main purpose of this paper is to generalize this time bracket parallelogram representation, as a tool for musicological analysis, to enhance performance and, possibly, as a composition notation.