It's not a common way to put stability but... :mg:
Cpk/Ppk or Cp/pp is known as inestability index and is nothing else but Total_variation / Variation_within, and altho it it self doesn't show a process stability, it's true that the nearer to 1 the total_variation and within_variation estimates are more or less equal and if variation is equal (and you take for granted that the mean of the process hasn't change) desto the process is stable.
beware of the taken something for granted, but for variability is a nice measure (altho no magical number for stability in such index exist, as far as I know).