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A novel idea of azimuthal partition to generate high-power microwave (HPM) with two frequencies [named bifrequency (BF)] in a single device is put forward. According to this idea, a C-band BF magnetically insulated transmission line oscillator (MILO) is designed by tuning the cavity-depth of a conventional MILO in azimuthal direction. The analysis of BFMILO reveals that its characteristics such as self-insulated current, total anode current, and total impedance of BFMILO are nearly the same as those of a conventional one. The oscillation of each microwave is restricted in its corresponding partition. Simulation results show that a C-band BFMILO stably yields an HPM output power of about 1.43 GW when the electron beam voltage is 490 kV and the current is about 45 kA. The power efficiency is about 6.5%, and the two frequencies are 3.4 and 3.65 GHz, respectively. The amplitude difference between the two microwaves in the spectrum is about 0.4 dB. Each frequency is mainly distributed in its corresponding partition.