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e We present a parametric method for the variable control of tempo with specification of shape and phase alignment constraints, and its implementation as a graphical interface written in C for the Max/MSP environment. This tool aids in the construction and management of polyphonic streams of independent, fixed or smoothly-varying tempos suitable for live performance or computer-generated scores. We also present a brief history of how polyphonic tempo manipulation has been used in context and compare our work with two recent projects to implement similar tools. d—o—w—n—loa—d——— J. MacCallum and A. Schmeder. Timewarp: A graphical tool for the control of polyphonic smoothly varying tempos. In Proceedings of the International Computer Music Conference, 2010. citati———on—