MUL.APIN: The Earliest Arithmetic Star Catalogue with Sexagesimal Structure — E8 Intelligence Research

FINDING: MUL.APIN encodes a three-path stellar division (Anu/Enlil/Ea) with 60+ named stars, using base-60 positional counting and a 360-day ideal year — the earliest systematic star catalogue with arithmetic structure. | MATH: Base-60 sexagesimal system (60 = 2²×3×5); 360-day year (360 = 6×60); three celestial paths each spanning ~120° (360°/3); star counts per path: Enlil 33, Anu 23, Ea 15 (total 71, but canonical lists vary 66–71); intercalary month rule (every 6 years, add 1 month → 6×60 = 360 months ≈ 354.367 days/year lunar vs 365.242 solar, ratio 0.9696). No explicit equations survive, but the catalogue's structure implies arithmetic progression of risings/settings tied to 360° circle. | CONNECTION: 360° circle = 6×60 → base-60 directly maps to angular measure; 360/71 ≈ 5.07° per star (near 5° = 1/72 of circle, a pentagonal subdivision); 33/71 ≈ 0.4648, 23/71 ≈ 0.3239, 15/71 ≈ 0.2113 — none hit golden ratios exactly, but 23/71 ≈ 0.324 (close to 0.382? no, but 15/23 ≈ 0.652, 23/3 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22225326
Primary Topic
Ancient Near East History
Type
preprint
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MUL.APIN: The Earliest Arithmetic Star Catalogue with Sexagesimal Structure — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
preprint

MUL.APIN: The Earliest Arithmetic Star Catalogue with Sexagesimal Structure — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: MUL.APIN encodes a three-path stellar division (Anu/Enlil/Ea) with 60+ named stars, using base-60 positional counting and a 360-day ideal year — the earliest systematic star catalogue with arithmetic structure. | MATH: Base-60 sexagesimal system (60 = 2²×3×5); 360-day year (360 = 6×60); three celestial paths each spanning ~120° (360°/3); star counts per path: Enlil 33, Anu 23, Ea 15 (total 71, but canonical lists vary 66–71); intercalary month rule (every 6 years, add 1 month → 6×60 = 360 months ≈ 354.367 days/year lunar vs 365.242 solar, ratio 0.9696). No explicit equations survive, but the catalogue's structure implies arithmetic progression of risings/settings tied to 360° circle. | CONNECTION: 360° circle = 6×60 → base-60 directly maps to angular measure; 360/71 ≈ 5.07° per star (near 5° = 1/72 of circle, a pentagonal subdivision); 33/71 ≈ 0.4648, 23/71 ≈ 0.3239, 15/71 ≈ 0.2113 — none hit golden ratios exactly, but 23/71 ≈ 0.324 (close to 0.382? no, but 15/23 ≈ 0.652, 23/3 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
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