A magnetically inductive flowmeter for measuring flow velocity, or volume flow, of a medium flowing through a measuring tube, comprising: a measuring tube having a measuring tube axis; a magnet system including a first coil system comprising a first coil (21.1) and a first coil core (21.2) arranged within the first coil, wherein the magnet system is designed to produce a magnetic field perpendicular to the measuring tube axis; at least two measuring electrodes for sensing a flow-dependent electrical voltage induced in the medium by the magnetic field, wherein the measuring electrodes are arranged in or on the measuring tube and are designed to sense the voltage capacitively or galvanically; an electronic measuring/operating circuit for operating the magnet system and the measuring electrodes; and a field guide designed to guide the magnetic field between a side of the first coil far from the measuring tube and a side of the measuring tube far from the first coil, wherein the magnet system has a first pole shoe (21.3) designed to lead the magnetic field between the measuring tube and the field guide, wherein the first pole shoe has at least one folded first pole shoe sheet metal piece (21.4), and wherein the field guide has at least one folded field guide sheet metal piece, wherein the first pole shoe and the field guide are magnetically and mechanically in contact at least in an interior of the first coil, wherein the first pole shoe and the field guide at least partially form the first coil core in the interior of the first coil, wherein the first pole shoe sheet metal piece has a number n1 of pole shoe sheet metal piece folds that protrude at least partially into the interior of the first coil, and wherein a first field guide sheet metal piece has a first group of folds with a number n2 of field guide sheet metal piece folds that protrude at least partially into the interior of the first coil, wherein each fold has two adjoining plies of sheet metal, wherein the n2 field guide sheet metal piece folds and the n1 pole shoe sheet metal piece folds overlap, wherein: if ni = 1, then nj = 2 and ni <= nj and nj < ni + 2, wherein ni = (n1 or n2) and nj = (n2 or n1), and wherein at least one pole shoe sheet metal piece fold is arranged between two field guide sheet metal piece folds and is in mechanical contact with them and/or wherein at least one field guide sheet metal piece fold is arranged between two pole shoe sheet metal piece folds and is in mechanical contact with them. a measuring tube having a measuring tube axis; a magnet system including a first coil system comprising a first coil (21.1) and a first coil core (21.2) arranged within the first coil, wherein the magnet system is designed to produce a magnetic field perpendicular to the measuring tube axis; at least two measuring electrodes for sensing a flow-dependent electrical voltage induced in the medium by the magnetic field, wherein the measuring electrodes are arranged in or on the measuring tube and are designed to sense the voltage capacitively or galvanically; an electronic measuring/operating circuit for operating the magnet system and the measuring electrodes; and a field guide designed to guide the magnetic field between a side of the first coil far from the measuring tube and a side of the measuring tube far from the first coil, wherein the magnet system has a first pole shoe (21.3) designed to lead the magnetic field between the measuring tube and the field guide, wherein the first pole shoe has at least one folded first pole shoe sheet metal piece (21.4), and wherein the field guide has at least one folded field guide sheet metal piece, wherein the first pole shoe and the field guide are magnetically and mechanically in contact at least in an interior of the first coil, wherein the first pole shoe and the field guide at least partially form the first coil core in the interior of the first coil, wherein the first pole shoe sheet metal piece has a number n1 of pole shoe sheet metal piece folds that protrude at least partially into the interior of the first coil, and wherein a first field guide sheet metal piece has a first group of folds with a number n2 of field guide sheet metal piece folds that protrude at least partially into the interior of the first coil, wherein each fold has two adjoining plies of sheet metal, wherein the n2 field guide sheet metal piece folds and the n1 pole shoe sheet metal piece folds overlap, wherein: if ni = 1, then nj = 2 and ni <= nj and nj < ni + 2, wherein ni = (n1 or n2) and nj = (n2 or n1), and wherein at least one pole shoe sheet metal piece fold is arranged between two field guide sheet metal piece folds and is in mechanical contact with them and/or wherein at least one field guide sheet metal piece fold is arranged between two pole shoe sheet metal piece folds and is in mechanical contact with them. if ni = 1, then nj = 2 and ni <= nj and nj < ni + 2, wherein ni = (n1 or n2) and nj = (n2 or n1), and wherein at least one pole shoe sheet metal piece fold is arranged between two field guide sheet metal piece folds and is in mechanical contact with them and/or wherein at least one field guide sheet metal piece fold is arranged between two pole shoe sheet metal piece folds and is in mechanical contact with them.