According to an article entitiled "Military Rifles - M1 to M14" by T.E. Cosgrove ( an engineer in the Infantry Weapons Group of Research, Development and Engioneering Directorate in the Army Material command) appearing in the March 1974 AMERICAN RIFLEMAN Magazine:
"The original alpha-numeric identificatiopn of the final experimental version of the Garand rifle was T1E2 and although the rifle was not officially adopted until 1936, , this designation was changed on Aug. 3, 1933 to U.S. Semi-automatic Rifle, Caliber .30 M1"
According to Cosgrove, the "M1"" designatin was continued and each modification carried the designation "M1E?" and went from "M1" through "M1E9"
FWIW