• Profile is the right word, also response curve. If you can find one, try to look for a waterfall graph of “frequency, intensity, decay” to get a better idea of what to expect.

    Studio headphones, or ones that you can most easily adjust the response with some EQ, have the flattest response curve and the shortest decay.

    There is also transient response like with any electric circuit, but I haven’t seen anyone do a full analysis for headphones.