Talking about the Aztecs and the Mayans means to make reference to two of the most important civilizations in the history of the planet. Their cultural and scientific legacy has been the subject of multiple researches and speculations in the modern world. The Mayans were able to develop an effective and precise numerical system based on the number twenty, together with a complex and fascinating system of calendars which were mostly based in astronomical calculations and bio-cycles; those were the basis for the later development of the Aztec numerical system and the “Stone of the Sun”, also known as the “Aztec Calendar”, which is a summary of the different mankinds that have inhabited the planet. For over a decade I have been working in the design of systems and tools for the music composition based on the Mayan and Aztec numerical systems, which I have successfully used to write music for different kinds of ensembles and media over these years. Nowadays, this system design has been taken to the next level in a joint effort with the Janacek Academy of Music and Performing Arts – JAMU, as a postdoctoral research for the development of software and new technologies that will open the possibility of usage and exploration of these tools to different artist around the world.