A rotary filling machine, comprising: a hub member (218;318) including a first end, a second end and an internal bore extending from the first end toward the second end, the internal bore defining an inner surface portion with a plurality of material transfer openings (262;362) of common shape and size; a hub insert (226;326) having a first end and a second end, at least part of the hub insert disposed within the bore, wherein the part of the hub insert includes an external sidewall defining an outer surface portion that includes a plurality of material transfer openings of common shape and size; wherein one of the hub member or the hub insert is rotatable and the other of the hub member or the hub insert is stationary; wherein the inner surface portion and the outer surface portion are in an axially aligned and mating relationship such that rotation of the one of the hub member or the hub insert causes a relative sequential movement in and out of fluid transfer alignment as between each of the material transfer openings of the hub member and each of the material transfer openings of the hub insert; a plurality of filling nozzles, wherein each material transfer opening of the one of the hub member or the hub insert feeds material to a respective one of the filling nozzles, wherein the filling nozzles rotate with the one of the hub member or hub insert; characterized in that: the material transfer openings of the one of the hub member or the hub insert are circumferentially spaced uniformly to provide a uniform center-to-center circumferential angular spacing between the material transfer openings; and a circumferential angular extent of each material transfer opening of the other of the hub member or the hub insert is set to match the center-to-center circumferential angular spacing of the material transfer openings of the one of the hub member or the insert. a hub member (218;318) including a first end, a second end and an internal bore extending from the first end toward the second end, the internal bore defining an inner surface portion with a plurality of material transfer openings (262;362) of common shape and size; a hub insert (226;326) having a first end and a second end, at least part of the hub insert disposed within the bore, wherein the part of the hub insert includes an external sidewall defining an outer surface portion that includes a plurality of material transfer openings of common shape and size; wherein one of the hub member or the hub insert is rotatable and the other of the hub member or the hub insert is stationary; wherein the inner surface portion and the outer surface portion are in an axially aligned and mating relationship such that rotation of the one of the hub member or the hub insert causes a relative sequential movement in and out of fluid transfer alignment as between each of the material transfer openings of the hub member and each of the material transfer openings of the hub insert; a plurality of filling nozzles, wherein each material transfer opening of the one of the hub member or the hub insert feeds material to a respective one of the filling nozzles, wherein the filling nozzles rotate with the one of the hub member or hub insert; characterized in that: the material transfer openings of the one of the hub member or the hub insert are circumferentially spaced uniformly to provide a uniform center-to-center circumferential angular spacing between the material transfer openings; and a circumferential angular extent of each material transfer opening of the other of the hub member or the hub insert is set to match the center-to-center circumferential angular spacing of the material transfer openings of the one of the hub member or the insert. the material transfer openings of the one of the hub member or the hub insert are circumferentially spaced uniformly to provide a uniform center-to-center circumferential angular spacing between the material transfer openings; and a circumferential angular extent of each material transfer opening of the other of the hub member or the hub insert is set to match the center-to-center circumferential angular spacing of the material transfer openings of the one of the hub member or the insert.