Is There a Scale Where a Language Is Not Cantatative?

Is it very likely that a language would only have, say, one of the affixes or two affixes that aren't non-cantatative but nowhere else does that occur? Is that common? Certainly common in the Germanic languages. All of these things are possibilities. I don't think that there would be any language that's purely non-Cantatative. But a language that's completely concatenative, that doesn't strike me as unusual.