Atomic notation

If A = 2^(1/12) (semitone) and B = (648/625)^(1/32) (diminished
schisma) we get the minimax tuning of atomic by setting

3 ~ A^19 B
5 ~ A^28 B^(-7)

Then 5/3 ~ A^9/B^8, which is 5/3 exactly.

We can define a notation system by taking twelve nominals and a symbol
for the (diminished) schisma. Then the major third and the fifth are
both sharp by 0.00016 cents, which I would hope would be enough
accuracy for even the most intransigent JI proponent, but of course in
higher limits we get a lot less accuracy:

A^34 B^(-16) ~ 7, 0.11 cents flat

A^42 B^(-25) ~ 11, 0.20 cents flat