We are so used to digital numbers now, just bits and bytes, instead of analog ones. And the digital numbers allow us to express analog numbers, but only up to a certain point of precision. In practice most numbers we calculate with have about 64 bits to express the number, with 128 bits sometimes being available with extended libraries if the hardware supports it.
So we must agree that the digital world is only a swiss cheese relative to the analog world, but for all intents and purposes it is a workable solution for everyday use. But it does show why a true Tibetan singing bowl will always sound more authentic than a recorded one, whether it was recorded analog or digital. In the analog recording there will be noise and other recording artefacts, and the digital can by definition not reach the full dynamic range of the physical vibratino of the bowl.