I planted 10 varieties of tomatoes in clear beer cups (2" of soil) three days ago and all of the 30 cups are up except for two and those two are both 'Top Sirloin'. That is the fastest germination I have ever had. I used a heat mat on them the first two nights and then needed it for my bum knee and that is the only different thing I did this year.
BTW, the 'Amish Paste' and 'Caspian Pink' were seeds from year '2000 that I planted just to see if they were still viable. Well, they sure are! I planted four seeds in each cup and will eliminate all but one when I start filling with soil. I usually wait until they have four true leaves before I start back filling.