Maya 819-Day Count (K'awiil's Cycle) (瑪雅819日曆)

THE MAYA 819-DAY COUNT — the most enigmatic cycle on the Classic monuments: 'Y'-glyph records, often bearing K'awiil the smoking-mirror god, tracking stations 819 days apart in a four-color directional scheme. 819 = 7 × 9 × 13 — the trecena, the nine night lords and the seven in one number — and its PURPOSE stayed dark for a century until 2023, when twenty periods (16,380 days, ~45 years) were shown to commensurate the synodic periods of EVERY visible planet. THE IDENTITIES ARE LOAD LAWS AS PURE ARITHMETIC: 7×117 = 819 (Mercury, the link known since Thompson), 21×780 = 16,380 (Mars — the Dresden number, 3×260), 28×585 = 16,380 (Venus), 13×378 = 6×819 (Saturn), 39×399 = 19×819 (Jupiter — K'awiil's suggested planet). THE MACHINERY RIDES THE VERIFIED MAYA ENGINE (same GMT correlation as the Long Count paths): position = (era-day + 3) mod 819, the three-days-before-era base SELF-PROVEN at load — era-day −3 must be 1 KABAN through the engine's own tzolk'in — with the two invariance theorems asserted: every station carries coefficient 1 (819 ≡ 0 mod 13) and one shared Lord of the Night (819 ≡ 0 mod 9, engine-verified). The color-direction PHASE (which station is east) is DEFERRED BY NAME rather than guessed. Served as archaeology and history of astronomy. Mesoamerican becomes five systems. Pure compute, no LLM.

Cost: 1 TIAN Points per call. tRPC procedure count819.station.