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I'm baffled why anyone would use dial up. Somewhere in my paper documents I should have tossed (and might already have), I have the frequency responses from the old AEA phone line simulator. I had a tech run the spectrum analyzer on every line prior to designing a proprietary filter for (gasp) 2400bps. I don't recall the designators, but it should be documented in some dusty corner of an old Bell manual.
The problem you have with a 56k modem is the fallback modes are intentionally crappy. What you would do in a modem design is throw the kitchen sink at doing the best possible performance on the top speed of the modem, and then do a minimal job on the fallback modes because they were just to have a check off on the datasheet.
I was at Excess Solutions (Milpitas CA) today and they have two Rockwell 56k modems on the shelf for some crazy price like $15 each. In Silicon Valley, they are worthless. But if you had to use dial up in the boonies, I'd be using Rockwell gear. They always made the best modems. [I worked for the competition, so trust me on this one. We never could meet their specs.] The fallback modes on Rockwell gear were great. You paid for such performance dearly.
I remember when we bought the AEA phone line simulator. It was about $20k in the early 80s. In the 90's, I saw it at RA Surplus for $200.