Disclosed is a system to provide adaptive tuning through a control system to a finger cuff connectable to a patient's finger to be used in measuring the patient's blood pressure in the patient's artery by a blood pressure measurement system utilizing a volume clamp method. When the finger cuff is placed around the patient's finger, the bladder and the LED-PD pair aid in measuring the patient's blood pressure by the blood pressure measurement system utilizing the volume clamp method, wherein the adaptive tuning system: applies a first pressure impulse and measures a pleth versus time response; from the pressure versus time response, determines pleth servo gains that compensate for delays in a pleth response of the finger; and uses the determined pleth servo gains in the control system in measuring the patient's blood pressure by the blood pressure measurement system utilizing the volume clamp method.