To distinguish continuous from discontinuous evolutionary change, a re
lation of nearness between phenotypes is needed. Such a relation is ba
sed on the probability of one phenotype being accessible from another
through changes in the genotype. This nearness relation is exemplified
by calculating the shape neighborhood of a transfer RNA secondary str
ucture and provides a characterization of discontinuous shape transfor
mations in RNA. The simulation of replicating and mutating RNA populat
ions under selection shows that sudden adaptive progress coincides mos
tly, but not always, with discontinuous shape transformations. The nat
ure of these transformations illuminates the key role of neutral genet
ic drift in their realization.