And here's the "closeness", as percentage change in ratio during each shift:
6MT:
1-2: 38.75%
2-3: 30.12%
3-4: 21.74%
4-5: 21.32%
5-6: 20.60%
7AT:
1-2: 35.13%
2-3: 36.04%
3-4: 30.89%
4-5: 29.18%
5-6: 13.80%
6-7: 10.44%
Those tiny numbers at the end of the 7AT make sense to me. I hardly ever actually use 6th, I tend to double-click back and forth between 7 and 5 because the ratios are so close up there it's almost silly. 7th is the "cruising for best gas mileage" gear, and 5 is the "slight downshift to pass" gear. Starting anywhere under 110-ish or so, I'd drop to 4 (or lower as the case may be) to really accelerate on the highway though.
In any case, in most of the lower gears you'd use on a track, the 6MT's final ratios are definitely closer-geared than the 7AT.