the black is micro-phenolic!?don't you mean 11 "layered" rings?.......count them again.....
1 black
2 white
3 brown
4 white
5 black
6 dashed
7 black
8 white
9 brown
10 white
11 black
...nice cue......:smile:

doesnt appear to be an outside ring at the joint.
[(3x11)+(3x9)]/6=10

good eyesight!