^^^
This is incorrect. There are many modes of vibration. The ones that have to do with energy are vibrations with wavelengths on the order of the tube lengths (high energy vibrations have longer wavelengths). The ones that have to do with "buzz" felt through your hands are on the order of the tube wall thickness. The former is affected more by frame geometry and tube shape. The latter is due to frame material and tube wall thickness.

For example, a Cannondale CAADx and a Trek Madone feel different at the hands due to the difference in frame material. Some say C'dales are "harsh" and some say that Madones are "dead". But while they feel different, the stiffness of the two frames are pretty close to the same.