While the conventional fourier transformation (DFT, or FFT) yields a rather technical time-frequency representation with fixed time-window and frequency resolution, the Fourier-t-Transformation (FTT) uses a frequency-dependent size for analysis windows. More precisely, it uses window sizes where the related bandwidth matches the respective bandwidth of human hearing. The FTT, originally introduced by Terhardt, yields a physiologically meaningful time-frequency representation. The data set containes a MATLAB tools with GUI to operate the FTT under MATLAB R2022. Files: MATLAB code is contained in FTT_Audiotool_2022, Briefs on the issue of psychophysical time-frequency representations of sound contained in FTT.pdf and A related paper wih more details and references, and a comparative analysis is conained in Excerpt_Schneider_Mores_2012_for_Zenodo.pdf.