A method of representing a serpentine track accessing format includes obtaining a plurality of head and physical track number pairs in the serpentine track accessing format. Then, each of the head and physical track number pairs are mapped to a unique virtual track number. In some embodiments, the unique the virtual track numbers are in a non-continuous monotonic order. In some embodiments, the unique virtual track numbers are assigned based upon a modulo M which is a function of a maximum number of tracks per physical zone. Translation engines which perform the mapping, as well as data storage systems which include the translation engines, are also disclosed.