In a digital type electronic musical instrument in which basic frequency information corresponding to a depressed key is cumulatively counted and a musical tone waveshape is read from a memory by the resultant output of the cumulative counting, a musical tone including a coarse noise is produced by randomly frequency-modulating the basic frequency of the musical tone, thereby providing the tone with a random vibrato effect. The frequency-modulation is effected by randomly adding or subtracting information expressed in the form of a certain frequency difference relative to the basic frequency information to or from the basic frequency information. According to an embodiment of the invention, a noise effect is produced only during a rise portion of the musical tone by reducing noise component in steps from the start of depression of a key and reproducing a musical tone of a normal pitch after a lapse of a predetermined period of time. The degree of the noise effect can be controlled for each individual keyboard.