ASTRO-H IS A POWERFUL OBSERVATORY FOR STUDYING THIS RELATIVISTIC REFLECTION - THE SUPERIOR SPECTRAL RESOLUTION OF THE SXS ALLOWS ANY CONFUSING ABSORPTION TO BE REMOVED UNAMBIGUOUSLY AND THE EXTRAORDINARY BANDPASS OF THE COMBINED INSTRUMENT PACKAGE ALLOWS THE ENTIRE REFLECTION SPECTRUM TO BE VIEWED SIMULTANEOUSLY.WE PROPOSE TO CHARACTERIZE THE RELATIVISTIC REFLECTION IN MCG-6-30-15 NGC3783 NGC4051 NGC4151 3C120 AND PDS456 CONFIRMING (OR REFUTING) THE PRESENCE OF STRONG GRAVITATIONAL REDSHIFTS ONCE THE EFFECTS OF ABSORPTION HAVE BEEN FULLY REMOVED. USING THE LATEST REFLECTION MODELS WE WILL REVISE THE CURRENT ESTIMATES OF BLACK HOLE SPIN AND SEARCH FOR TELLTALE SIGNATURES OF ACCRETION PHYSICS FROM AROUND AND WITHIN THE ISCO.