We propose a new scheme for heteronuclear decoupling designed for fast magic-angle spinning (MAS), dubbed phase-inverted supercycled sequence for attenuation of rotary resonance (PISSARRO). Its efficiency compares favourably with CW, TPPM, SPINAL and XiX decoupling methods at medium and high RF amplitudes, particularly under conditions where the efficiency of decoupling is affected by undesired rotary resonance effects.