Your statement is incorrect. Frequency is intimately connected to the photon's momemtum because when a photon looses momentum, the result is a loss of energy. And the consequence of a photon losing energy, is a decrease in frequency, i.e., a red shift. See below.
momentum:
p = m*v
energy of a photon:
E = h*f = mc2
(where h = Planck's constant)
and by combining eq. 1 and eq. 2, we get the momemtum of a photon:
p = h*f/c
(where c = speed of light)
From eq. 3 it can be seen that if the photon's momentum (p) decreases, the frequency (f) must also decrease.
--Boot Hill