So are you saying this cipher is a shift cipher where different ranges have different instructions or operations.
For example: A = 0, A-D = +1, E - M = -2, N-Q = +5, Q-Z = -1
Sort of a multiple moving part shift cipher?
Now I'm baselessly speculating, but if you have B through F being +1 and G - Z being -1 you'll have to make a decision about when a letter is F and when a letter is G, they key will have some overlap of digits. What if '^' means it's G in this case and 'v' means it's F in this case. Or vice versa.
I have to go to bed, Good luck anon.