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You are confusing dynamic range compression and data compression. They're not the same thing. I'm not sure what you mean by "affects SINAD".I suspect somewhere other than in MP3, and other CODEX documentation, there is some analysis on how the compression affects the SINAD.
This is very misleading and unhelpful. The actual dynamic range, meaning the difference between the quietest and loudest parts of a song, which is what matters when determining how much you care about the actual dynamic range of your preamp or amp, of just five seconds of one randomly-selected song on I/O is over 20dB. I expect if I looked over the whole album I'd find sections with significantly greater variations than that.The DR (Dynamic Range) is based on the difference between the average RMS (Root Mean Square, measures the average loudness) level and the maximum level (peak). It allows to represent the dynamics of a piece of music with values ranging from 1 to more than 20.
The number you're citing seems more like LUFS, which is useful for mastering engineers who are trying to ensure an overall consistency to peak and average volumes of a recording. It doesn't tell you very much about the actual dynamics of a piece of music, though.