A complete calibration will adjust reproduce amplifier for flat reproduce response from an appropriate test tape; then adjust record bias, level, and EQ for flat record/reproduce response from your chosen tape. After you have this done, you will get best results by sticking with the tape the machine has been calibrated for, although you often can use other tapes with similar oxide formulas with acceptable results.
My Studer was individually calibrated for recording. Thats what I have to choose when recording, the machine has those programmed parameters stored (ditital). But for replay, I don't have to choose any of them, because they are standard ferro type R2R and that has been calibrated by reference test tape.