To use in spectroscopy, we need its Fourier transform to determine the corresponding line profile. Being the Fourier transform calculation too heavy for Raman bands deconvolution, Tagliaferro et al., 2020, have proposed a synthetic profile mimicking the lineshape. It is a profile named "GauLor", which is a piecewise symmetric function with a Lorentzian central part and wings which are Gaussians; actually, it seems being the opposite of the Voigt profile (Gaussian central part and Lorentzian wings). In GauLors, the onset of the wing happens at a frequency threshold, determined by the overall fitting approach. At the threshold, the Lorentzian and Gaussian piece functions and their derivatives are continuous. Supposing the existence of the threshold within the Raman scan range, the GauLor has the onset of the Gaussian wing which can be very close to the center of the line (in the kernel) or quite far from it (in the far line wings). In fact, we have two families of intermediate functions between Lorentzian and Gaussian line shapes, and they are the q-Gaussians and the GauLors.