Rotary filter intended for liquid/solid separation of a suspension, comprising a trough containing the suspension, a device for spraying disengagement fluid, and at least one disk which is non-rotatably connected to a main shaft, each disk being partially immersed in the suspension and each disk comprising a plurality of filter sectors, each filter sector comprising a structural element that is covered by a filter medium, and a duct for connection of said filter sector to a pipe (56, 58) arranged along the main shaft, characterized in that: - each disk comprises a first series of at least one filter sector which is separated from a second series of at least one filter sector by means of two non-filtering zones, - the main shaft comprises a first pipe which communicates with the first series of at least one filter sector of each disk, and a second pipe which communicates with the second series of at least one filter sector of each disk, - said rotary filter comprises comb teeth which are arranged above the level of the suspension, on either side of each disk, - the main shaft is intended to occupy at least: -- a first angular position in which the first series of at least one filter sector of each disk is located under the comb teeth, soaking in the suspension to be filtered, and in which the second series of at least one filter sector of each disk is located above the comb teeth, each non-filtering zone being adjacent to one comb tooth on each of the faces thereof, -- a second angular position in which the second series of at least one filter sector of each disk is located under the comb teeth, soaking in the suspension to be filtered, and in which the first series of at least one filter sector of each disk is located above the comb teeth, each non-filtering zone being adjacent to one comb tooth on each of the faces thereof, so as to allow for the disengagement of the series (S1, S2) of at least one filter sector of each disk located above the comb teeth while the filtration of the suspension continues on the other series (S1, S2) of at least one filter sector of each disk located below the comb teeth. - each disk comprises a first series of at least one filter sector which is separated from a second series of at least one filter sector by means of two non-filtering zones, - the main shaft comprises a first pipe which communicates with the first series of at least one filter sector of each disk, and a second pipe which communicates with the second series of at least one filter sector of each disk, - said rotary filter comprises comb teeth which are arranged above the level of the suspension, on either side of each disk, - the main shaft is intended to occupy at least: -- a first angular position in which the first series of at least one filter sector of each disk is located under the comb teeth, soaking in the suspension to be filtered, and in which the second series of at least one filter sector of each disk is located above the comb teeth, each non-filtering zone being adjacent to one comb tooth on each of the faces thereof, -- a second angular position in which the second series of at least one filter sector of each disk is located under the comb teeth, soaking in the suspension to be filtered, and in which the first series of at least one filter sector of each disk is located above the comb teeth, each non-filtering zone being adjacent to one comb tooth on each of the faces thereof, -- a first angular position in which the first series of at least one filter sector of each disk is located under the comb teeth, soaking in the suspension to be filtered, and in which the second series of at least one filter sector of each disk is located above the comb teeth, each non-filtering zone being adjacent to one comb tooth on each of the faces thereof, -- a second angular position in which the second series of at least one filter sector of each disk is located under the comb teeth, soaking in the suspension to be filtered, and in which the first series of at least one filter sector of each disk is located above the comb teeth, each non-filtering zone being adjacent to one comb tooth on each of the faces thereof,