Eliot, the 1922-23 C model used a large circle with a white star on a black background.
The 1924 F model used a smaller circle with a plain white star on a black background.
The 1925 F model used the same size circle with a white star with elevated spines on all 5 points.
The 1926 M models used the same size circle with the Star crest over the star shape.
The later '26 and 1927 used the same badge as the early '26 except the word "Four" was printed at the bottom. (or "Six" for the model R's)