Elements as Harmonic Frequencies: Atomic Masses as Musical Intervals on a Universal Wave

We show that the ratios of atomic masses across the periodic table correspond to musical intervals — simple integer frequency ratios — with quantitative precision. Every element's Compton frequency f = mc²/h maps onto a logarithmic ladder with step size 4/3 (the perfect fourth) anchored at hydrogen. Uranium sits at step 19 with 0.15% error, spanning the entire periodic table with a single geometric ratio. Key results: Carbon dioxide (C–O) is a perfect fourth (4:3), error 0.1%Water (H–O) is four octaves (16:1), error 0.8%Table salt (Na–Cl) is a perfect fifth (3:2), error 2.8%36 of 36 known chemical bonds match musical intervals within 5%Gallium — used in GALLEX/SAGE neutrino detectors — sits on the neutrino's 4/3 frequency ladder, offering a geometric explanation for its favorable cross-section60 element pairs with near-perfect harmonic ratios (