You don't need a sensitometer if you have a light meter.
The exposure index test ('film speed test') is simple. Meter a uniform illuminated target at your guess exposure index and under expose it by 4 stops when you make an exposure of it with your camera. Process the film and use your light meter to test the film. If the exposed film drops the meter reading by 1/3 of a stop (compared to a blank frame) when placed over your light meter sensor, you know the exposure index you selected is good.
T-max film was not made in the 1970s as far as I know, but even T-max 400 from the 1980s will be pretty useless by now. I still have some Ilford HP5 in freezer storage since the early 1980s and the base density is approaching 0.7 log d.
Again, to test the base density, you don't need a densitometer. Just place some processed but unexposed film over your meter. Every stop of indicated exposure the film sucks up is 0.3 log d.
In terms of motion picture film, you can check the perforations. Motion picture film has more rounded perforations (BH) where as 35mm still camera film has more rectangular perforations (KS).