There is no specification in the manual.
Interesting. That information seems to have been missing for the series III too, but the original 80 series manual did give "typical" values.
The specifications for the Fluke 179 state that the beeper turns on at <25? and off at >250?. The actual behaviour is on at <=43? and off at >=81?.
Amprobe 38XR-A manual says that the tone indicates <40?, which is exactly what you get.