Lol. You guys. Thanks for the compliments but this is just regular drum stuff. Proper head selection and good drum tuning is what separates the men from the boys. Use the right heads for your style and tune the drums to sound delicious. Drums are like any other instrument - they have to sound good before you put a mic anywhere near them. A lot of people, even drummers, don't understand the nuances of tuning a drum and/or they're too lazy to actually do it. But it makes sooooooo much difference.
The 12" and 13" tuning thing is tricky. I don't know how or why drum companies decided that a 12 and 13 would be the standard rack tom sizes, but they did, and it's dumb. They're too close in size. A much smarter set up would have 2 inches in diameter separating the tom sizes. 10, 12, 14, 16 or 12, 14, 16, 18. Whatever. You live with what you have. Keith Moon used 3 or 4 of the exact same size rack toms and just tuned them differently. Keith Moon was an awesome player, one of my favorites, but no one ever freaked out about his actual sound.
So in a perfect world, a 12" and 13" tom tuned perfectly to their respective resonant pitches will have enough difference to be noticeable and sound decent. They're different sized drums with different diameters and depths, so naturally they have to sound different. And they do. They just don't really sound different enough. So here's an instance where you need to fudge one of them a little either way. I personally believe that tuning a small drum to a lower pitch sounds better than tuning a larger drum to a higher pitch, so I tune my 12" to be happy where it is and try to get the 13" lower. You have some room to play a little with a 13" drum because it usually has more depth than a 12", and your next drum, usually a 16" floor tom, is tonally way different and far away in the pitch spectrum. So tune your 12" to sound great, tune your 16" to sound great, and fill the gap with the 13". Or hell, just leave it out altogether. Just because you have 3 or 4 or 5 toms that doesn't mean you have to use them all.