A cylindrical cutting system, a bit holder assembly, and machine for milling or scarifying road surfaces are disclosed. A bit holder is attachable to a milling platform, and includes an inward facing surface for engaging a corresponding mating surface of the milling platform. The inward facing surface of the bit holder and the mating surface include aligning fastener and pin openings. A fastener and a pin are inserted within the respective openings to couple the bit holder to the milling platform. The mating surface may define a part of a recess formed in the milling platform. A wear element may be disposed at the leading side of the bit holder. Multiple platforms may be coupled together with axially extended platform fasteners.