I don’t see an answer to your question so far. What the utility is required to provide and what will damage your equipment are two different things. And I don’t really know the answer. Probably the answer is well below any voltage that you will see. You didn’t say what type of gear you have. But solid state gear will probably work fine and eventually trip off. Most ss gear will rectify your AC to DC, and regulate it to a much lower voltage. If the regulator is good, it will never know the voltage is low. Tube gear usually is ok with lower voltages but not always. If you have a good tube amp I’d ask the designer/builder.
You’ll more likely hear poor performance than damage your gear. These are my educated guesses though. I don’t know all the architecture and design features of your gear.
You might find support equipment that runs off of 120VAC to not operate correctly, perhaps a remote volume control or a display system.
What does damage equipment is high current. power = current x voltage So a piece of equipment, such as an inductive motor, that needs constant power, will pull more current at a lower voltage. Refrigerators are the classic home load that can be damaged during a brownout. Still, 109 volts should be fine. Air conditioner motors can fail too. The theme here is motors that pull a significant load. If you ever have a brownout--you can see the lights dimming, run, don’t walk to unplug your refrigerator and large loads.
Turntables have a small motor. Unless someone know knows more about turntables speaks up knowledgably, you might want to not use your turntable at low voltages. but I’d give it 95%+ chance it will be fine at 109V.
If you do want to buy a power supply to fix the problem, PA Audio regnerative power plants are probably the best. I set the output voltage on mine and it controls it +/- 0.1 volts. The specs say it can operate down to 90 volts. Note that this is low enough that you could use it to run 120V equipment in Japan (100 V standard).
Jerry