Only familiar with the sizes of Morse Tapers which are listed in numbered sizes. The A and B that you are questioning could be the diameters of the large and small ends of the taper.
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I am not sure of the differences between the MTA and MTB, but I do know of a few different types of Morse taper shanks.
There are "standard" Morse and "stub" Morse tapers, and "tanged" and "drawbar" styles.
It has been a few years since I worked regularly with Morse taper shanks. The "standard" and "stub" tapers have common tapers per foot and gage line diameters, but most of the rest of the dimensions are different.
The "tanged" (standard) shank is the one many of us are used to seeing on drill shanks or lathe centers. The "drawbar" style is similar to the tanged shank, except the tang has been lopped off, and the resulting circular end has been drilled and tapped for a drawbar, similar to an R-8 Bridgeport shank. These drawbar shanks were introduced to allow older machine tools to retain the cutting when heavy cutting loads were applied.
You can perhaps get a better answer to your question by contacting Command Tooling Systems (800-328-2197) or Collis or Briney.
Morse Taper Holders
Re: Morse Taper Holder
