Evolution of the orbital period, spin parameter a_*, and secondary mass as function of primary mass for inefficient and efficient (namely with Tayler–Spruit dynamo marked by the gray background) AM transport mechanism. The black triangles refer to the initial properties of the binary systems, i.e., masses of two components and orbital period. In each column, one system is marked with the same color and line style. The squares show the properties of HMXBs with measured spins (blue for M33 X-7, green for Cygnus X-1, and red for LMC X-1). In the middle horizontal panels, the horizontal dashed line marks a_* = 1.