A conical pulley for belt Continuously-Variable-Transmissions allowing a bigger than the width W of the belt maximum axial displacement of the one conical pulley half relative to the other, achieving a bigger than 0.5*W*tan(F) difference between the maximum and the minimum effective radiuses of the belt as it runs on the pulley, wherein F is the angle of the working conical surfaces of the pulley, providing a substantial increase of the transmission gear ratio range that enables faster accelerations at the low gear ratios and better mileage and quieter operation at the high gear ratios.