This article introduces a method for gas-turbine preliminary design, featuring jet-noise reduction as one of the main design objectives, or as the main objective. Selected methods have been implemented in an integrated systemic approach tool that includes gas turbine performance, aircraft performance and noise prediction. This tool enables the optimisation of the thermodynamic cycle for low noise, low fuel consumption, or a compromise between the two. Two case studies have been carried out for a 4000 nautical mile, 216-passenger aircraft: one targeting at minimum noise; and one for minimum fuel consumption. The parametric analysis approach enables the visualisation of the effect of cycle choices (overall pressure ratio, bypass ratio, combustor outlet temperature) on parameters such as engine size, weight, specific thrust, specific fuel consumption, noise and mission fuel. It is shown that noise reduction comes at the expense of fuel consumption, reducing the energy conversion efficiency of the system. Nevertheless the proposed tool allows the performance engineer to make appropriate choices for given design targets.