The relevance of relaxation of hermiticity to mere PT symmetry: Re-confirmed via new examples with the enigmatic real spectra, and via two numerical methods proposed.
Features: A similarity of spectra to a few other available models, a split in families.
Specific merits: One stays on the real axis, a periodicity in the complex plane.
Full text in J. Phys. A: Math. Gen. 32 (1999) 3105 - 16.