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I suggest you fully read and understand the ASTM 270 specifications that lays out the acceptable procedures for mortar acceptance and testing.
This is a unique standard that contains 2 different concepts for mortar properties and testing AND the different methods cannot be combined or tested at will for obvious reasons.
One method is performance and the other is proportioning. The key is to understand the differences and separation for testing and responsibilities. That is also the reason for different test procedures for compliance.
As an example, if a mortar is mixed precisely according to the specifications and fails, where is the real responsibility? Also what if a mortar is for other proportions is made that exceedes the requirements for proportioning, but performs above the minimums.
After you have had time to contemplate this age-old problem, just look at Note 1 in the appendix to ASTM 270. you will find that this comment that strength is NOT necessarily the most important property of a mortar, but workability and the workability to construct a properly may be more important. This goes beyond specifications unless you you can identify the particle shape of the aggregate, the weather conditions, mixing cycle and allowable re-tempering and many other variables.
After getting confused somewhat, realize the the strength of the mortar has very little do do with the strength of a masonry wall and the masonry unit properties are the deciding factor. I have seen 4800 psi hollow prisms made with 2200-2500 psi mortar. Even for masonry grouting, many engineers place and upper limit on strength of grout to insure a balanced design.
Dick
Engineer and international traveler interested in construction techniques, problems and proper design.