A procedure is put forward for the specification of a suitable phase diagra
m for a uniaxial system with higher-order anisotropy which undergoes a spin
-reorientation transition via coherent rotation of magnetization in an appl
ied field of arbitrary strength and direction. The approach generalizes rec
ent studies for a field applied in one of the principal directions. The ana
lysis is valid for bulk and thin-film systems and is relevant to all experi
mental techniques that involve the implementation of an external field. The
representation is especially promising in the context of thickness-driven
transitions in ultrathin systems. It is generally valid, beyond the uniaxia
l restriction, for any remagnetization process which takes place within a g
iven plane.