The noise you hear is most likely from the inverter power supply. frequency is normally above the hearing range but with aloose winding you could have sub-harmonics or under heavy load the frequency could go down. All depends on the PSU design.
Have a look at:
http://www.ko4bb.com/getsimple/index.php?id=manuals&dir=Tektronix/Tektronix_-_2215AIt might be worthwhile to curl up and read it cover to cover.
Lookup the service manual and locate unit board 7. As you can see there is a single PSU to supply everything.
The clean high pitch sound before was most likely the inverter oscillator and if the main transformer is a bit old some coils may be a bit loose and will whine. The garbled sound is most likely that sound but with the supply under a bad load. The over current/under voltage protection circuit will chop the inverter on and off in a variable duty cycle and generate that weird noise. In a full short you would hear the supply emit a sharp "click" every half second or so as it tries to start and then collapses.
Other possibility is a carbon arc on the CRT high voltage power supply. Try to operate in the dark and see if that is the case. I use an extension with a switch to power the unit dow at a safe distance insted of poking my fingers in there in the dark... That certainty would present a wierd load to the main PSU!
I would first look for older bulged out or dry electrolytics capacitors. They can really upset the PSU. The service manual has a flow chart for trouble shooting that you may want to follow. I have not fully read it but, depending on how the protection circuit works, it might be allowable to remove (unplug) each load off the PSU one by one and see if ithe PSU is happy. That would place the problem outside the PSU.
There is also a full set of voltages and waveforms in the PSU to help the trouble shooting but you need to be familiar with this type of testing with potentially lethal voltages inside. If you look the the schematics my first suspect is an excessive load on one of the PSU output lines (shorted diode, cap etc..), the pre-regulator (too low voltage to invertor, wrong feedback signal), the inverter itself (switching trans or shorted winding in the transfo for example)..
Best of luck with it.