Abstract: The device, of the autoreverse type, conventionally comprises at least one cassette (10) with a magnetic tape (1) which is alternately wound around one of two reels (11' and 11"), also part of the cassette (10). Each reel is keyed and/or keyable to its own shaft (32', 32") with a winding key (31', 31") driven, directly or indirectly, by at least one motor (33), where the tape, extending between the two reels (11' and 11") or idle rollers (12' and 12"), also part of the cassette (10), is transported tangential to two capstans (4', 4") provided with flywheels (40', 40"). At the other side of the tape (1) there are two rollers (41', 41"), each roller being idle-mounted at the symmetrical, swinging end (42', 42") of its own arm (43', 43") and alternately biased by a spring (45) to adhere to the magnetic tape (1) or to two substantially parallel capstans (4', 4"), directly or indirectly driven by one or more motors (35).