A novel one-dimensional nuclear quadrupole resonance experiment to measure the asymmetry parameter of the electric field gradient tensor in polycrystalline specimens using nutation spectroscopy is reported. The complete data set, necessary for the reconstruction of the powder nutation lineshape, is recorded in a single scan provided by a train of short and intense on-resonance radiofrequency pulses. A modified scheme is presented to deal with multiple well-resolved resonances to provide a frequency selective nutation method. The technique is successfully demonstrated for the two Cl-35 resonances in cyanuric chloride. A reduction of 1 or 2 orders of magnitude in the data acquisition time, relative to the usual two-dimensional method, is achieved.