Interesting- I've always heard the Nyquist theorem referenced to show limitations of digitization (i.e. the maximum frequency that a 44.1khz medium can encode is 44.1khz/2 = 22.05khz- any frequency higher than that will hover near 22khz and distort substantially)

Can the theorem be applied conversely to prove that a perfect reconstruction/encoding of a frequency occurs in a digital medium given the absence of this theoretical impossibility? (would 200 samples/second be just as good/accurate when digitizing a 99.487hz tone as 44.1k samples/second?)

I wish I knew more about this stuff! Makes me wish I hadn't skipped so many math classes...