Roger Woodham replies:hardly, hardly ever, hardly any

They are not quite interchangeable as they stand, but need some modification first of all. If we add ever to hardly to arrive at hardly ever, then this is synonymous with rarely and also with seldom.

hardly ever

These adverbs describe how frequently or regularly something happens. Thus along a spectrum of frequency, starting with most frequent and ending with least frequent, we might find the following:

Note that hardly ever, rarely and seldom equate with occasionally or very occasionally in terms of frequency, but that when you use hardly ever, etc, you are putting a negative gloss on what you are saying. Occasionally sounds much more positive. Compare the following:

hardly

Hardly, as an adverb by itself, means only just, and equates with barely and scarcely.

hardly + any (+ -one/-thing)

Hardly any means very little or very few and is the opposite of plenty of, or colloquially, loads of. Note again the negative tone in which it is used: