Comparison of the function ζ considered as a continuous function of frequency (continuous line with color modulated by the value of cos²θ_g) with the values derived for the mixed-mode frequencies (full squares with color modulated by the value of cos²θ_p). Values of cos² close to 0 and 1 appear in light blue and dark blue, respectively. For gravity-dominated mixed modes, the phase term θ_p acts for ζ values close to the local maxima; for pressure-dominated mixed modes, the ζ values are close to the local minima ζ_min (dashed line). The simulation is based on the second-order asymptotic pressure-mode pattern proposed for red giants by Mosser et al. (2013), with Δν = 5 μHz, and on the first-order asymptotic expansion of gravity modes, with ΔΠ₁ = 65 s and ε_g = 0.