A looped material band (100) which includes at least one flat strip (2) having two reversible splice areas (3) in which the serrations (3a, 3b) only extend along a part of its width so that, when the material band is assembled in a loop around two pulleys (10a, 10b), the strands of the material band, which extend respectively between the two pulleys, are continuous and without any splice at least along a portion (9) of their width, regardless of the rotational position of the looped material band.