What I have in mind: each piece with 4 hue scheme in 4 variations
Let A be point One on color wheel, B it’s compliment, C-D split compliments
1. A = Dominant, B,C,D subordinates
2. B,C,D Dominant, A subordinates

Each of these with its inverse for each chroma. Theme and variation.
For 1, if A= Blue B, C and D would be Orange, Yellow orange and Red orange respectively,
with A Dominant and B C D subordinates
Inverse would be Orange=Dominant, with Blue, Blue-violet and Blue-green as subordinates.
Tone and chroma would vary as I might see fit.