That's just it- it is not 1's and 0's coming into your modem. It is a high frequency carrier wave that is frequency modulated. On top of that wires are antennas so additional noise is picked up by these cables along the way. That modulated signal must be converted back into digital words by the modem. Going any deeper than that will require a considerable investment of time and comprehension by the researcher. Electronic communications has a long history of development going back to the first telegraphs.
The telegraph seems to be a good analogy, if not a very simplified example of digital communication. The system employed dots and dashes as a form of code to convey information from one operator to another. Using wet cell batteries and copper wound coils to form solenoids, this simple electrical circuit would mirror the taps of an electrical switch at one end with taps by the solenoid at the other end. Standard protocols were developed to signal the beginning of a message and end of a message. And of course, if the receiving operator missed a dot or dash in the process then the message became garbled.
As the use of the telegraph spread, technical problems emerged. Signals grew too weak over long distances to ensure the receiver got an intelligible message. They increased the voltages to enable longer distances and also had to use operators as relays- resend messages on towards their destination. The first transatlantic cable was laid prior to the Civil War but was a complete failure. No message could be successfully transmitted across the ocean. It required further research and understanding of the effects of seawater on wires and electrical signals before the first successful transatlantic signal could be sent.
My point is that there are no simple answers or solutions to streaming music digitally. I'm already talking over my head here so I will stop. But suffice it to say, understanding and learning comes only with great effort- with trials and error and learning from other's efforts. A closed mind learns nothing. An open mind can learn anything.