Hondo'
As REASR said the Duke's Hat size started at 7 1/4 and went up from there. In "True Grit" I was told that His Hat was a 7 1/2 because of all that Ratty Looking Hair of the Hair Piece that He Wore in the Film!
Bill 
Posts from William T Brooks in thread „Hat Size“
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Baby Sister,
The Hat that is Hanging on the Bed Post in Duke's Bedroom at the 26 Bar Ranch is a "Resistol Stagecoach" and the Hat Size of 7 3/8.
But in Duke's Films He would wear what ever size was needed by the size of the Hair Piece that He used in the Film that He was making. 
Chilibill
