Ptolemy's scheme is closed. Seven planets — the five visible wanderers and the two luminaries — cover twelve signs, so the Sun and Moon take one each and the other five take two apiece, arranged outward from Leo and Cancer in order of distance. It is tidy, and the tidiness is part of the argument for it.
Then Uranus was found in 1781, Neptune in 1846 and Pluto in 1930. Some astrologers reassigned three signs to them: Uranus to Aquarius, Neptune to Pisces and Pluto to Scorpio — in each case taking a second house away from Saturn, Jupiter or Mars and leaving that planet with one. Others kept Ptolemy's rulers and treat the outer planets as generational rather than as rulers of anything. Many use both, calling the classical one the domicile or traditional ruler.
A planet's calculated position does not depend on which rulership scheme is used. Uranus has the same longitude whether it rules Aquarius, shares the sign with Saturn, or is given no domicile.
Both schemes appear here: the classical rulers from Ptolemy, and the modern assignments labelled with the planets' discovery dates.