In this paper, the main objective is synthesising tango choreographies from tango dances. This system takes tango dance patterns performed by human dancers as input and produces choreographies that are represented in a 3 dimensional (3D) virtual environment. Dance figures obtained by a motion capture system are segmented automatically and analyzed with regard to center of mass to form the dance database. Choreographies are then created by combining compatible primitives and adapting them. The system is tested using both objective metrics such as the accuracy of the motion primitive segmentation as well as the subjective scores about the fluency and quality of the dance patterns, and is proven to be effective.