In a jazz ensemble, the timing patterns within each instrument and between instruments vary systematically depending on the instrument, tempo, style, and other parameters. A set of computer tools is described to modify these timing parameters according to previous measurements, allowing a large flexibility to account for individual differences and preferences. Four different jazz trio recordings were transcribed and annotated, and the tools were then used to recreate or modify the timing patterns in synthesized versions. These tools can be used for pedagogical purposes in which a music example can be played with different timing interpretations. It can also be used as a tool for research in which controlled factorial experiments can be designed.