Low-order (fifth, seventh, and ninth) harmonics have been generated under the interaction of intense (I similar to 10(14) W/cm(2)) femtosecond mid-infrared radiation of a laser system based on a Fe:ZnSe crystal (wavelength is 4.55 mu m, pulse duration by the FWHM level of intensity is 160 fs, and the pulse energy is up to 3.5 mJ) with an argon jet (pressure is up to 10 bar) in the tunneling ionization regime (Keldysh parameter is gamma = 0.2). The maximum energy efficiencies of the 5th, 7th, and 9th harmonic generation are 2 x 10(-7), 6 x 10(-9), and 3 x 10(-10), respectively. It has been established that nonlinear effects of propagation of generating radiation under an increase in the pressure of the gas jet begin to significantly affect the process of generation.