The spectral and total radiance of the radiating systems in high temperature air have been computed for temperatures between 3000 degrees K and 25000 degrees K, and for relative densities between 1/1000 and 10. The total and spectral radiance of equilibrium air over the same temperature and density range has been computed from the composition of equilibrium air and the absorption coefficients of the individual systems. The results are compared with those obtained by previous investigators. The results are presented in graphical form and equations approximating the results in regions of low emissivity are derived.