Explaining an unusual undergraduate degree title
I don't know how popular this answer will be with others but ...
Call it a BA phase
whilst applying to graduate schools
In all honesty after having read as to what Scottish MA is, I would suggest that in applications (especially to the US or other parts of the world not particularly familiar with the degree type) that you merely enter it as a BA

2004-2008 BA (honors) Testing Bureaucracy

With this seems inaccurate, consider it a matter of translation rather than some sort of dishonesty with degree names, etc. As the University of Edinburgh states, these are &quot;conventional undergraduate degrees.&quot;
Then when it's explaining time, explain that the degree is called a MA for historical reasons (by say printing the appropriate explanation page from your school or wikipedia) and providing that along with the degree certificate or transcript.
None of this is to deny that it looks like a very high quality undergraduate education.
My motive for this suggestion is that doing otherwise will confuse people at a time when their confusion costs you scholarships and other things.
Call it an MA Phase
Once you have some higher degree above it or when you no longer care about graduate school
Revert to calling it an MA on your CV and in applications as you are suggesting. At this point, the only people reading it will glance only briefly at this and not really care.