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The radio technique is a promising method for detection of cosmic-ray airshowers of energies around $100\,$PeV and higher with an array of radioantennas. Since the amplitude of the radio signal can be measured absolutelyand increases with the shower energy, radio measurements can be used todetermine the air-shower energy on an absolute scale. We show that calibratedmeasurements of radio detectors operated in coincidence with host experimentsmeasuring air showers based on other techniques can be used for comparing theenergy scales of these host experiments. Using two approaches, first via directamplitude measurements, and second via comparison of measurements with airshower simulations, we compare the energy scales of the air-shower experimentsTunka-133 and KASCADE-Grande, using their radio extensions, Tunka-Rex andLOPES, respectively. Due to the consistent amplitude calibration for Tunka-Rexand LOPES achieved by using the same reference source, this comparison reachesan accuracy of approximately $10\,\%$ - limited by some shortcomings of LOPES,which was a prototype experiment for the digital radio technique for airshowers. In particular we show that the energy scales of cosmic-raymeasurements by the independently calibrated experiments KASCADE-Grande andTunka-133 are consistent with each other on this level.

A comparison of the cosmic-ray energy scales of Tunka-133 and KASCADE-Grande via their radio extensions Tunka-Rex and LOPES