Counters like continued fractions

In a 1,2,4

The two has 1,2,1,2. This is he marking deviations plus 1/3, but relative to spin which is stuck at odd, taking up half the deviation resolution.

1/2 + 1/3 or 1+ 2/3
Followed by a 1,2,3,4,5 counter.
It revises the deviation count to:

1/2 +( [1/3 plus 1/6 or null])  or( 1+ 2/3 plus 1/6 or null])

Or something similar.  The counters maintain a continued fraction of depth three.  Someone made this a 3D universe, it has its limits.