The Aztec calendar, known as the "tonalpohualli," is a sophisticated and complex system that was used by the Aztecs to measure time. Unlike the Gregorian calendar, which is based on the sun's movement and has a year of 365 days, the Aztec calendar was made up of a 260-day ritual cycle and a 365-day civil cycle that ran concurrently. The accuracy of the Aztec calendar in terms of astronomical observations is remarkable, but its purpose was different from the Gregorian calendar, serving more religious and cultural functions than the practical, agrarian-based Gregorian system. Comparing the two in terms of accuracy is challenging because they were developed for different societies with different needs and understandings of time. The Gregorian calendar's design for long-term consistency makes it more suitable for the needs of modern society, which requires a standardized timekeeping system that aligns with the solar year. However, the Aztec calendar's intricate cycles reflect a deep connection to the spiritual and material worlds of the Aztec people, showcasing their advanced understanding of mathematics and astronomy. Therefore, while the Gregorian calendar is more practical for contemporary use, the Aztec calendar holds its own as a testament to the intellectual achievements of the Aztec civilization.

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