The sense of damping is a feeling between flexibility and dullness.
Damping is the characteristic of any vibration system in which the amplitude of the vibration decreases gradually due to the external effects and or inherent causes of the system itself, and the quantitative characterization of this characteristic.
The sense of damping, on the other hand, is derived from the definition of damping, the sense of stickiness of a system. Damping is the difference between a system that is too stiff to be used (rotated or moved, etc.) and one that is too loose and too flexible to be operated. Damping is the feeling between flexibility and bluntness.