Earlier quoted context omitted.
Fellow old here, I had several 56k baud modems but even my USR (the best of the bunch) never got more than half way to 56k throughput. Took forever to download shit over BBS...
> several 56k baud modems These were almost definitely 8k baud.
"Baud rate" refers to the symbol rate, that is the number of pulses of the analog signal per second. A signal that has two voltage states can convey two bits of information per symbol.
"Bit rate" refers to the amount of digital data conveyed. If there are two states per symbol, then the baud rate and bit rate are equivalent. 56K modems used 7 bits per symbol, so the bit rate was 7x the baud rate.