It may be helpful to
know one possible way to bridge between teaspoon-scale
doses and cup-scale doses.

There are 48 teaspoons in 1 cup (liquiid, US.)

If the first dose is 1 teaspoon, and following 5 doses are
doubled, and the 6th dose is triple the 5th, then the
regimen is:

1) 1 teaspoon.
2) 2 teaspoons
3) 4 teaspoons
4) 8 teaspoons
5) 16 teaspoons
6) 48 teaspoons = 1 cup.

Best regards,

Matthew