The .40-82 used the same casing as the .40-90, but had a different weight bullet. No, you are not confused, or addle brained, or having a senior moment. You can get a good list of the old Black Powder cartridges in the back of a Dixie Gun Works catalog.
The real surprise has been the rise and success of the .40-65, as it has lower recoil for the long shooting programs of the Black Powder Cartridge Silhouette Assciation, while delivering a heavy enouh bullet to knock down the ram targets at 500 yds. The .45 and .50s hold the edge at the 800, 900, and 1,000 yard targets.
Both the .40-90 and the .45-90 were part of the " Express Rifle " craze that tried to give more power to existing cartridges by lengthening the casings. The .45-70 is 2.1 inches long, whereas the .45-90 is 2.4 inches long. I have not measure the .40-70, or .40-90, or .40-82, as I have only seen them in collections, but I believe a similar relationship exists with the .40s.
It should be remembered that Billy Dixon's famous Shot at Adobe Wells, that ended the seige by Commanche Indians, was taken with the " Big .50 ", which most historians and gun experts agree was the .50-90 Sharps cartridge, an express cartridge form of the .50-70. The shot was 7/8 of a mile, and taken at a group of about 20 Indians astride horses. Dixon's shot actually struck one of the warriors, who sickened and died several days later, according to Indian accounts. Dixon always said he was just aiming at the Group at that distance. The fact that he had the gumption to even attempt the shot is to his credit. He later won the Congressional Medal of Honor as an Army Scout. Sounds like the kind of guy you would want fighting on your side.