I have, for myself, decided that the Majors cannot be pressed into a pattern or system. They deal with spiritual matters and are beyond the mapping of elements and numbers that the pips offer. They are Energies with a certain flavour or colour, but not static. Like a yarn for knitting, or music, a story that is retold many times, never exactly the same way... well. Beyond words, at least for me, obviously...
They all have their meanings, but many shades.
Many will disagree with this - there are countless systems out there that put the Majors into a specific order, and to choose on of those systems can be very helpful. Works great for many people.
Not sure if this was helpful in any way, though...