Synonyms for Mayan (same or very similar meaning)
WordNet sense 1 (a member of an American Indian people of Yucatan and Belize and Guatemala who had a culture (which reached its peak between AD 300 and 900) characterized by outstanding architecture and pottery and astronomy):
Maya
WordNet sense 2 (a family of American Indian languages spoken by Maya):
Mayan language
From the ODE community, based on WordNet
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