1, 4, 16 are the intervals that match the first, second and third digits in the display.

Think of them as 1, 10, 100.

2 and 8 are "odd" in terms of how they step.

32 doubles the resolution of the last display digit.

8T divides the beat by 12, and 16T divides it by 24, like a clock.

Note and beat timing interval map