After the most prominent bands of propyne (CHCCH) in the region of 9-11, 16, and 30 μm have been analyzed, we have undertaken the study of weaker bands in the same regions. The main purpose of this study is to reach all levels in the 900-1100 cm energy range, in order to make possible a global treatment of all these interacting levels. High-resolution Fourier transform spectra have been used in all three regions and also tunable diode laser spectra in the 16-μm region. The major findings concern the (ν + ν) PAPE band at 10μm, the (ν + ν) - ν and (ν + ν) - ν hot bands at 16 μm, and the (3ν) - (2ν) and (3ν) - (2ν) "superhot hands" at 30 μm. Several local resonances in these bands have also been detected.