Chords

Bemsha Swing has a simple structure.  A single phrase that repeats four times (the third time in another key), in a shortened AABA form. It is in C.  Yet it has 10 separate chords, including 6 of the  12 dominant-seven chords. Autumn Leaves has about 9 or 10 ten chords too, including the 7 chords related to its key, E minor. I Got rhythm has numerous chords as well, and is in B flat.  So overall, I can play just about any chord, theoretically, just by learning these three songs, plus a few of my own in D flat and other odd keys.  Let's say there are 48 basic chords (major, minor, dominant 7, and half-diminished). It sounds like a lot, but I feel the need to know every note on the piano in relation to every key.