Throughout the history of the applied mathematical understanding of sound, there has been a disparity between the behavior of linear and non-linear sound theory. Through recent developments, this issue has been addressed by approximating non-linear sound with principles of energy conservation, integrating distortion over space and time. This research looks at the audible and numerical behaviour of non-linear sound waves, analyzing differences in pressure profile data under spatial variation. Modern computational techniques, data visualization using Python and data sampling from MATLAB-based scripts, in addition to classical mathematical tools, time series analysis and fast Fourier transforms, provide this research with a framework for strengthening our understanding of non-linear sound quality degradation through space. This research is ongoing, and aims to analyze both anomalous and expected differences in pressure profiles with the mathematical tools applied to uncover deeper intricacies, such as overtones and behaviour of Fourier coefficients, of sound with spatial variation.