This is incorrect.
The great cycle is marked by the Sun's rise in the Equinox. It is roughly 24,000 years long, and about 2000 years per astrological sign.
This is not quite the case, as the shifting is due to precession caused by the Sun's orbit of an unknown mass (note the shear edge of the kuiper belt) - so there is an elipse to the orbit and the signs, this, do not all get an equal time.
However, the order is a precession… Meaning it goes backwards. Pisces, the fish… To Aries… The ram.. or, in old Zoroastrianism… The Lamb.