Music is analog. Digital "music" is not music, it's an approximation of music. So, we disagree, fundamentally. And that's ok since I avoid audio scientology
Last time I gave a bad reply to your post and it lead to back and forths of what "analog" means. Let's try again:
Digital signal is NOT the kind of approximation you think it is. It has two limitations: Bandwidth dictated by sample rate and dynamic range dictated by bit depth. Human hearing sets convenient limits on these: 20 kHz* of bandwidth and 80 dB of SNR are enough in consumer audio. This means that CD quality is enough in consumer audio. Now, within these limitations (which even at CD quality are outside the limits of our hearing and do not matter) digital audio gives, at least theoretically 100 % accurate representation of the analog signal. The limitations in frequency and signal-to-noise ratio means there is limited amount of information in the signal and all those bits in a digital signal are THAT information. This is why we can restore, at least theoretically, the original analog signal with 100 % accuracy from the digital signal within the signal-to-noise ratio.
How is this possible you ask? How do we know what the signal does in between the sample points?
Proper bandlimiting (say 20 kHz) means the signal can't take sudden sharp turns between samples, because that would mean there are higher frequencies involved. We wouldn't even hear those sharp turns, because of the limits of our hearing. So, the bandlimited version of the analog signal without "sharp turns" is enough. What sampling theorem means is when we take samples densely enough (at least twice the frequency of the highest frequency in the signal), there is only one "route" the signal can take between sample points. Any other "route" would require frequencies above the bandlimiting (Nyquist frequency). The only inaccuracy involved is that the sample points are quantized rather than being the EXACT values. this means that the signal we get is actually the original analog signal + noise. In consumer audio the noise is too quiet to have any effect on the sound in even the most demanding listening scenarious if it is 80 dB below the peaks of the music. CD quality fulfils this requirement even technically, but
perceptually, which is actually what counts, CD quality can reach perceptual dynamic range of 110-120 dB if shaped dither noise is used. CD quality digital consumer audio needs to be 13 bit, but is technically 16 bit and
perceptually even 20 bit. Digital audio doesn't even need to go to high resolution formats such as 96 kHz/24 bit to "reach" analog audio. It is already good enough at CD quality (meaning hi-rez formats in consumer audio is a scam based on milking audiophools on technical ignorance and placebo-effect).
Why do some people prefer analog formats such as vinyl, if digital audio at CD quality is so perfect?
Because some people like the distortions these analog formats create. These distortions are always present with all recordings making all recordings sound the same in that sense. This can give the feeling of cosiness, especially if our ears are used to it. Harmonic distortion can make the sound "richer" and "warmer" adding harmonic content that wasn't in the original recording and aren't present in the digital version. Reduction of channel separation at bass frequencies of vinyls to avoid the needle jump out of the groove is cross-feeding of a sort and can make headphone listening more comfortable. Distortions also affect the spatiality and analog formats can have more "lively" spatiality. All of this can be replicated in digital versions, but isn't normally done because the whole idea of digital audio is accuracy, the avoidance of distortions in the audio chain! Whether people prefer analog or digital sound is a subjective preference, but those who prefer analog sound blame digital audio for the WRONG reasons. Digital audio can EASILY have the same "ear-pleasing" distortions analog audio has: Just rip a vinyl into a digital file (using good quality gear) and you have the exact same sound, only now you can listen to the music over and over without the sound quality dropping each time due to wear and tear.
Analog formats also have nostalgy value. Many people started listening to music on analog formats such as vinyl and C-cassette. That can add to the enjoyment of the music, even if it has nothing to do with the sound. Vinyls have LARGE cover art many people like, again not sound related. The "ritual" of dropping the needle on the record may add to the enjoyment for some people. There are many factors, but somehow fans of analog sound think it is all about the "approximate" nature of digital sound which is competely wrong assumption. The real reasons are elsewhere and not the least between our ears (psychological).
Now ask yourself how do YOU avoid audio scientology? Did my lengthy post give you any new thoughts about this issue?
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* For children. For average adults maybe 16 kHz. We who wonder why 80's music sounds different from how it was back in the day are too old to hear anything around 20 kHz.