Where does “commutation” come from?

I can't write this etymology sentence because the chain provided only contains English words at various points, with no earlier language sources shown. An etymology requires tracing a word back through earlier languages (such as Latin, French, etc.) to establish its origin. The chain you've provided appears incomplete or circular. To write an accurate one-sentence origin summary, I would need the chain to show the actual ancestor languages—for example: English commutation ← Middle English ← Old French ← Latin commutātiō, etc. Could you provide the complete etymological chain showing the word's origins in earlier languages?

commutation (English): A passing from one state to another; change;...