100 kHz magnetization properties of sample transverse magnetically annealed, cobalt-based amorphous and iron-based nanocrystalline tape wound magnetic cores are presented over the temperature range of −150 C to 150 C, at selected values of Bpeak. Frequency resolved characteristics are given over the range of 50 kHz to 1 MHz, but at Bpeak =0.1 T and 50 C only. Basic exciting winding current and induced voltage data were taken on bare toroidal cores, in a standard type measurement setup. A linear permeability model, which represents the core by a parallel L-R circuit, is used to interpret and present the magnetization characteristics and several figures of merit applicable to inductor materials are reviewed.. The 100 kHz permeability thus derived decreases with increasing temperature for the Fe-based, nanocrystalline material, but increases roughly linearly with temperature for the two Co-based materials, as long as Bpeak is sufficiently low to avoid saturation effects. Due to the high permeabilities, rather low values of the ‘quality factor’ Q, from about 20 to below unity, were obtained over the frequency range of 50 kHz to 1 MHz (50 C, Bpeak=0.1 T). Therefore these cores must be gapped in order to make up high Q or high current inductors. However, being rugged, low core loss materials with flat B-H loop characteristics, they may provide new solutions to specialty inductor applications.