Using the 52 common playing cards:

364 Days / 13 Cards (per suit) = 28.77 days
364 Days / 52 Cards (all 4 suits) = 7 days
28 Days / 4 Elements = 7 Days (1 week)
52 Cards = 52 Mansions of the Moon
52 Cards / 2 (m/f) = 26

MODES:

Ruler (Kings) = Mutable
Minister (Queens) = Fixed
Servant (Knights) = Cardinal

3 Modes (per suit) x 10 pips = 30 degrees

In this system from the pre-Europian playing card decks, which is more consistant with the modern playing card decks, the court cards represented a ranking system consisting of a Servant, a Minister, and a Ruler. This is also reminesent of the original three degrees of the Masonic Blue Lodge: Apprentice, Journeyman, and Master. The modern deks suplanted the minister with the queen but the ranking value is the same.

Each court card can also be used to represent the Modelity of an element: Cardinal, Fixed, or Mutable.

Using the 56 minor arcana cards:

364 Days / 14 Cards = 26
26 / 2 = 13 full moons in a year
26 x 2 = 52 mansions of the Moon
56 cards / 2 (male/female) = 28 Days
14 = 7 Days + 7 Nights

MODES:

Mutable = Kings or Queens
Fixed = Knights
Cardinal = Pages

3 Modes x 4 Elements (suits) = 12 signs

In some Tarot interpretations it is said that the court cards represent the four elements, which would be totally redundant and thereby unnecessary, since the court cards are a subset of a suite that already represents an element.

However, the three Modelities can still be represented by the four court cards if the Kings and Queens were concidered interchangable depending on the gender of the element or subject they were representing.