An embroiderable sewing machine, including a plurality types of embroidery frames that hold a workpiece cloth to be embroidered; a carriage allowing selective attachment and detachment of the embroidery frames; a transfer mechanism that transfers the carriage independently in two orthogonal directions; a first detector that outputs a constant signal corresponding to the type of embroidery frame attached to the carriage; a second detector capable of outputting a detection signal based on presence and absence of a detection subject provided at the embroidery frame; and a signal converter that converts the constant signal outputted from the first detector into a periodic signal based on the detection signal outputted from the second detector.