Sumerian Fraction Words: igi-n-gál and igi-te-en in Babylonian Reciprocals — E8 Intelligence Research

FINDING: The only mathematically substantive item is the arxiv paper on Sumerian/Babylonian fraction words (igi-n-gál and igi-te-en); the video titles are sensationalized and contain no verifiable mathematical content. MATH: - **igi-n-gál** = reciprocal of n, i.e., 1/n (base-60 sexagesimal reciprocals). - **igi-te-en** = proportion (abstract ratio), not a fixed constant. - Babylonian reciprocal tables use pairs (n, 1/n) in sexagesimal, e.g., 2↔30, 3↔20, 4↔15, 5↔12, 6↔10 (in base‑60, where 1 = 60⁰, so 1/2 = 30/60, 1/3 = 20/60, etc.). - Key structural constant: 60 = 2²·3·5, which makes all reciprocals of regular numbers (2,3,5 and their products) terminating in base‑60. CONNECTION: - The sexagesimal system is the ancestor of our 360° circle and 60‑minute hour. - The reciprocal pairs (n, 1/n) in base‑60 generate the **harmonic ratios** 1/2, 1/3, 1/4, 1/5, 1/6 — which are the building blocks of the **Pythagorean tuning** (2:1 octave, 3:2 fifth, 4:3 fourth, 5:4 major third Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com