Many films and television shows from the 80s and 90s (for example, Blade Runner, the BBC television adaptation of The Hitchhiker's Guide to the Galaxy, etc.) that depict computers use a distinctive type of sound effect when a computer is shown printing out text letter-by-letter or incrementally performing some other process, like zooming in on a wireframe rendering of a 3D model (always a popular choice). Of course, computers in real life very rarely makes noises while printing text (and are even less likely to print text letter-by-letter), but it's an entertaining sound effect.
Here are some (not-so-great) examples from a sound library. Here's another example from The Hunt for Red October (obtained from this thread):
This type of sound effect seems to be essentially just a rapid sequence of beeps of various pitches. However, simply stringing together lots of sawtooth beeps in the 150-400 Hz range does not produce a particularly engaging result.
What might the high-level procedure be for producing this sort of "computer readout" sound? Any suggestions or comments are appreciated.