A tape head module for performing azimuth recording and reading of tape media (e.g., where data bands are disposed at an angle to the direction of media travel) to increase the storage density of tape media. An array of read and/or write elements of the tape head module is oriented along an axis different than those of first and second lateral (e.g., overwrapped) edges of the tape head module. Positioning the first and second lateral edges of the disclosed tape head module to be perpendicular to the direction of tape motion (e.g., so that the tape moves over the first and second lateral edges perpendicularly to the first and second lateral edges) automatically positions the array of read and/or write elements at an azimuth angle (e.g., non-perpendicular angle) to the direction of tape motion. Also disclosed are methods for fabricating such tape head modules and related tape head assemblies.