(a) Form-factor χ of the linear eigenmode of a moiré optical lattice with the largest propagation constant versus θ and V₂ at V₁=0.1. Yellow dashed lines present the commensurate (periodic) moiré lattices under some of the Pythagorean angles (from left to right) θ=atan(13/84), atan(5/12), atan(8/15), atan(3/4), atan(20/21), and atan(4/3). Eigenmode profiles $\left|\Phi \right|$ with the largest propagation constant supported by a incommensurate (aperiodic) moiré lattice under twisted non-Pythagorean angle θ=π/4 and with V₁=0.1 for different V₂ values: V₂₌0.6 (b) and V₂=1.6 (c).