Here's why a purely lunar calendar would have been difficult to use:
* Length of the year: A lunar year (12 lunar cycles) is about 354 days long, significantly shorter than a solar year (365.25 days). This would mean that a purely lunar calendar would drift out of sync with the seasons over time. This would cause problems for agriculture, which relies on predictable seasonal changes.
* Agricultural cycles: The ancient Egyptians were heavily dependent on agriculture. A calendar that didn't align with the Nile's flooding and the growing seasons would have been disastrous.
* Religious festivals: Many Egyptian religious festivals were tied to the solar cycle, such as the flooding of the Nile. A purely lunar calendar would have made it difficult to synchronize these events.
The Egyptians were skilled astronomers and mathematicians who developed a sophisticated calendar system that accurately tracked the solar year. This calendar was based on the 365-day solar year, with an additional day added every four years to account for the extra quarter day. This system was remarkably accurate for its time and allowed the Egyptians to maintain a calendar that stayed in sync with the seasons and the agricultural cycle.