In the sun, magnetohydrodynamic waves with wave lengths larger than about a hundredth of the solar radius will be strongly influenced by the Coriolis force if a dipole field with a polar strength of ]ess than 25 gauss is assumed. For small amplitudes, a plane Alfv6n wave will be split up into two circularly polarixed, transverse waves, travelin with velocities C1 and C1 in the direction of the wave normal and with moduli C1 >!C2, where V = V cos 4,, V = B( p) /1 being the Alfv6n velocity and 4, the angle between the wave normal and the magnetic field, B. Further, there is no equipartition between the kinetic and the magnetic energies. These facts will modify Alfv6n's theory of sunspots as far as the periods are concerned; and disturbances of large linear dimensions will be distorted, owing to dispersion. Alfv6n's conclusions based on the geometry of the solar magnetic field and his hypothesis on the creation of disturbances due to the presence of instability regions in the solar core are not affected by the discussion of this paper.