The dielectric properties of several types of ionic oxide glasses, sodium trisilicate and a series of lithium fluoroborate glasses, have been measured in the infrared and far infrared by reflectance methods and analyzed together with those reported earlier which were obtained in the 1 x 10(2) to 2 x 10(9) Hz region at temperatures from 25 to 300-degrees-C by bridge and time domain reflectance (TDR) techniques. Together, these provide nearly continuous data from low frequency through 1.35 x 10(14) Hz, with a gap from about 2 x 10(9) to 7.5 x 10(11) Hz. Interpolation through this range has been addressed by consideration of the behavior of epsilon' (omega) at the limits of the measured ranges. It has been found that the damped harmonic oscillator-modelled epsilon" (omega) features in the infrared and far infrared lead to epsilon' (omega) curves which extrapolate to those epsilon' (omega) curves measured at lower frequency and provide the interpolation and effectively continuous spectra from low frequency through the infrared.