Caution -- you appear to be confusing the "T-mount" system with the Tamron
Adaptall and
Adaptall-2 mounting system. All three are Tamron products, but the Adaptall mount is a bayonet type adapter while the T-mount is an older thread-based adapter.
Tamron lenses such as the Adaptall-2 SP 55BB you mention do not use the threaded T-mount adapters. Some other brand names like Vivitar and Spiratone are also associated with the universal (threaded) T-mount system.
Check Wikipedia using the various terms for specific descriptions and illustrations of the different systems.
the web site
www.adaptall-2.org is a good reference for identifying various categories of Adaptall lenses.
H2