Originally posted by LudwigVanBee:

Thanks Matt. This clarifies things somewhat but I will be looking for an explanation as to why does a Major 3rd + minor 3rd = Major triad and why does
minor 3rd + Major 3rd = minor triad? Thanks for your time and effort in this complex endeavor. [/b]
"Major" and "minor" are just names and labels we put on musical constructs so we can talk/write about them in words.
Here's another way to look at "major" vs. "minor" triads:
Take the first 5 notes of a major scale, say, C major: {C, D, E, F, G}. If you build a {C, E, G} triad, it fits right on a MAJOR scale (it also happens to be a minor 3rd stacked on a major 3rd). You might as well label it a MAJOR triad.
Now take the first 5 notes of a minor scale, say, C minor: {C, D, E-flat, F, G}. If you build a {C, E-flat, G} triad, it fits right on the MINOR scale (it also happens to be a minor 3rd stacked on a major 3rd). You might as well label it a MINOR triad.
Instead of beling called "major triad" and "minor triad," they could have easily been labeled "3+4" triad and "4+3" triad (counting relative half-steps increments), or labeled "4,7" triad and "3,7" triad (counting absolute half-steps from the root), or "minor-3rd on major-3rd" triad and "major-3rd on minor-3rd" triad, and they would all amount to the same thing.
The "Major Triad" and "Minor Triad" labels stuck, I suppose, because they relate very nicely to the Major and Minor scale designations.
Putting labels on musical constructs is one thing, internalizing the constructs is another. For those with free time on their hands, I'd suggest playing many major and minor triads on the piano and listen to the tonal differences these different constructs create -- the objective would be to get to a point where, upon hearing either a major or minor triad, you instinctively know it's major or minor without having to think whether its "major 3rd on minor 3rd" or "minor 3rd on major 3rd, or resorting to counting half-steps.
(MattG -- I really admire your dedication and generosity to continuously share your knowledge in music theory, it really takes time and effort.

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