Babylonian Base-60 and MUL.APIN 360-Day Year Origin of the 360-Degree Circle — E8 Intelligence Research

FINDING: The 360-degree circle derives from the Babylonian base-60 (sexagesimal) number system and the MUL.APIN 360-day year, where each day corresponds to roughly one degree of celestial rotation. | MATH: 360 = 2³ × 3² × 5; number of divisors = 24; base-60 system: 60 = 2² × 3 × 5; 360/60 = 6; 360/12 = 30; 360/24 = 15; 360/72 = 5; 360/90 = 4; 360/120 = 3; 360/180 = 2. | CONNECTION: 360 is highly composite, enabling integer divisions into 2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180 — directly supporting geometric harmony ratios (e.g., 0.618 ≈ 222.48°/360, 0.382 ≈ 137.52°/360, 1.618 ≈ 582.48°/360). Base-60 also yields 1/60 = 0.016666..., 1/360 = 0.002777..., linking to angular measure in degrees, minutes (1/60°), seconds (1/3600°). | DEPTH: 8 — foundational to angular geometry, timekeeping, and celestial mechanics; reveals deep connection between number theory (highly composite numbers) and practical measurement systems. 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
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21503520
Primary Topic
History and Theory of Mathematics
Type
preprint
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Babylonian Base-60 and MUL.APIN 360-Day Year Origin of the 360-Degree Circle — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

Babylonian Base-60 and MUL.APIN 360-Day Year Origin of the 360-Degree Circle — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The 360-degree circle derives from the Babylonian base-60 (sexagesimal) number system and the MUL.APIN 360-day year, where each day corresponds to roughly one degree of celestial rotation. | MATH: 360 = 2³ × 3² × 5; number of divisors = 24; base-60 system: 60 = 2² × 3 × 5; 360/60 = 6; 360/12 = 30; 360/24 = 15; 360/72 = 5; 360/90 = 4; 360/120 = 3; 360/180 = 2. | CONNECTION: 360 is highly composite, enabling integer divisions into 2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180 — directly supporting geometric harmony ratios (e.g., 0.618 ≈ 222.48°/360, 0.382 ≈ 137.52°/360, 1.618 ≈ 582.48°/360). Base-60 also yields 1/60 = 0.016666..., 1/360 = 0.002777..., linking to angular measure in degrees, minutes (1/60°), seconds (1/3600°). | DEPTH: 8 — foundational to angular geometry, timekeeping, and celestial mechanics; reveals deep connection between number theory (highly composite numbers) and practical measurement systems. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
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Babylonian Base-60 and MUL.APIN 360-Day Year Origin of the 360-Degree Circle — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS