Rotational temperatures and abundances and methane in the Jovian atmosphere have been calculated for Lorentz half-widths γ = 0.15, 0.20 and 0.30 cm−1. The results are within ∼10 to 20% of those previously determined for γ = 0.10 cm−1, and are not far from the values corresponding to no saturation. Abstract Rotational temperatures and abundances and methane in the Jovian atmosphere have been calculated for Lorentz half-widths γ = 0.15, 0.20 and 0.30 cm−1. The results are within ∼10 to 20% of those previously determined for γ = 0.10 cm−1, and are not far from the values corresponding to no saturation.