This is not the only table of monomoiria. Ptolemy rejects a system that used only the five planets in the order of the Chaldean terms:
By day
Aries, Leo and Sagittarius - Jupiter, Venus, Saturn, Mercury and Mars x 6
Taurus, Virgo and Capricorn - Venus, Saturn, Mercury, Mars and Jupiter x 6
Gemini, Libra and Aquarius - Saturn, Mercury, Mars, Jupiter and Venus x 6
Cancer, Scorpio and Pisces - Mars, Jupiter, Venus, Saturn and Mercury x 6
By night
Aries, Leo and Sagittarius - Jupiter, Venus, Mercury, Saturn and Mars x 6
Taurus, Virgo and Capricorn - Venus, Mercury, Saturn, Mars and Jupiter x 6
Gemini, Libra and Aquarius - Mercury, Saturn, Mars, Jupiter and Venus x 6
Cancer, Scorpio and Pisces - Mars, Jupiter, Venus, Mercury and Saturn x 6
Paulus and Olympiodorus mention the above table given by JA, but also an alternative system based on the triangles:
By day
Aries, Leo and Sagittarius - Sun, Jupiter, Venus, Moon, Saturn, Mercury and Mars
Taurus, Virgo and Capricorn - Venus, Moon, Saturn, Mercury, Mars, Sun and Jupiter
Gemini, Libra and Aquarius - Saturn, Mercury, Mars, Sun, Jupiter, Venus and Moon
Cancer, Scorpio and Pisces - Mars, Sun, Jupiter, Venus, Moon, Saturn and Mercury
By night
Aries, Leo and Sagittarius - Jupiter, Sun, Moon, Venus, Mercury, Saturn and Mars
Taurus, Virgo and Capricorn - Moon, Venus, Mercury, Saturn, Mars, Jupiter and Sun
Gemini, Libra and Aquarius - Mercury, Saturn, Mars, Jupiter, Sun, Moon and Venus
Cancer, Scorpio and Pisces - Mars, Jupiter, Sun, Moon, Venus, Mercury and Saturn
These two systems of monomoiria like the Chaldean terms and Valens' seven terms system have Mars as sole ruler of Cancer, Scorpio and Pisces, just as Ptolemy had it.