This paper proves the feasibility and demonstrates the performance of a novel conical single-crystal analyzer in a von Hámos geometry to follow two sets of Kα hard X-ray emission peaks simultaneously, which can be used as an additional feature at synchrotron beamlines but also with laboratory setups or plasma sources. The conical-analyzer-based spectrometer is studied both experimentally as well as with ray-tracing simulations to provide a broad overview and understanding.