I've been thinking about the topic of audio compression, and if sound waves are really just sine waves, would it be practical to have the studio record music with a "vector graphics" system reformatted for audio? The end result would look something like this for 12 seconds y = 44.3sin(x) + y = 20 sin (x). On the way in, the computer would perform some calculations and break the audio signal down into smaller waves which are added together to get a specific sound. On the way out, the computer would just add the pieces together to achieve a hypothetically infinite sample and bit rate, potentially taking up much less space in the process. Then, the user could just specify how high he / she wants the "sample rate", which in this scenario is related to hardware capabilities. Does this make sense? I'll re-explain if it doesnt, but it sounds like with the right hardware you could scale up to a sample rate in the gigahertz range without "guessing" at what was on the original recording.
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