Mesoamerican timekeeping
Eurocentric research of Mesoamerican timekeeping is largely using interpretations chronicled by Catholic missionaries in the sixteenth and seventeenth centuries, the same period as introduction of the Gregorian calendar (1582; Pope Gregory XIII). Missionaries’ chronicles have been used as interpretive source documents.
The first non-Gregorian calendar comparison to Mesoamerican timekeeping system in nearly 500 years
A 13-lunation calendar year built upon a 20-year cycle
The approach synchronizes Earth's daytime with a Lunar time, introducing unique mathematical symmetry for each cyclic as well as basing it on relative astronomical alignments.
The discovery took ancient timekeeping systems and studied them using modern computation and mathematical principles.
Application of the system presents a new hypothesis for Mesoamerican calendar systems through comparison to the "Goddess" calendar model derived from Neolithic China.
The resultant 13-lunation year in a 20-year cycle simplifies the Mesoamerican calendar system and removes “vague” from Haab calendar interpretations.
Key (selected) references
Moore SD. Dynamical astronomical object-relative cyclic signal inputs for discrete time modeling with calendric applications. Research Square. submitted (Version 1).
DOI: https://doi.org/10.21203/rs.3.rs-2521172/v1
Moore, SD. Lunar Model for Tun and Tzolkin Calendars. Mesoamerican Art and Architechure, July 2022 (Toronto). Poster 22CA070045
McKenna, T. The Invisible Landscape: Mind, Hallucinogens, and the I Ching, (HarperOne, New York, NY, 1994).
Williamson, D. Discrete-time Signal Processing, (Springer London, 1999).
13-Lunation "cell" calendar with civil and divine references
(A) Earth (E) solar rotations, proposed Haab, or civil, calendar (B) Lunation cycle (proposed divine calendar). Unique fundamental elements in recurring cycles; i to vii. Note, element iv and v share the same natural count (13-lunations) but will have variable temporal conversions to SI units in continuous time S = Sun
13-Lunation "wheel" calendar
Interpreted Haab “civil” solar day calendar with Wayeb addition for missing time in Earth’s rotation (29/30 “days”/lunation). 385-day “civil” leap year placement every ten 13-lunation calendar years (box) in bidecadial.