Undeveloped idea: Tarot triangles

The figure below includes 78 triangles: 22 "upside down" and 56 "right side up."

The tarot deck includes 78 cards: 22 trumps and 56 suit cards. There should be some convincingly non-arbitrary way of mapping the one set to the other.

My first idea was to divide the figure into four "suits" thus:

For each of the four colors, there are 13 triangles that are only that color -- frustratingly close to being perfect, since there are 14 cards in each suit.