Why is it that short buildings respond more to high frequency oscillations while tall buildings respond more to low frequency oscillations?
I would assume that how they react is related to the natural frequency of the buildings so
$$f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}$$
To decrease natural frequency, one can add mass ($\sim$ tall buildings) thus it makes sense to state that tall buildings respond more to low frequency oscillations and vice versa. Is this the true reason behind this phenomenon?