Absolute Neutrino Mass Predictions from a Five- Dimensional Simplex Count

A discrete mass-ratio hypothesis can determine the absolute neutrino spectrum from one measured mass-squaredsplitting. We examine the IDWT prescription mi = μ5 (ni5+4) for the assigned indices (n1 , n2 , n3 ) = (10, 15, 22),giving the exact count ratio 2002 : 11628 : 65780. Calibrating the single scale with the atmospheric splittingΔm231 = 2.534 × 10−3 eV2 yields masses (1.533, 8.903, 50.362) meV and a sum of 60.798 meV. Calibratinginstead with the solar splitting Δm221 = 7.49 × 10−5 eV2 gives (1.513, 8.786, 49.701) meV and a sum of59.999 meV. The two inferred scales differ by 1.31%. This is equivalent to a 2.68% discrepancy in the scale-freesplitting ratio, rather than an additional independent test. The construction predicts a nonzero lightest mass near1.5 meV, conditional on the count assignment and normal ordering. We provide the full derivation, a benchmark-variant check, uncertainty formulas and executable reproduction code. The result is a testable one-scalephenomenological spectrum; selection of its integer indices and derivation of its absolute scale from field dynamicsremain open.