If you have one device in your system properly grounded the effect vanishes because also the synth is grounded and that shorts the leaked AC. If you wipe with your fingers on a very thinly insulated, say anodized aluminium surface the electric field can be so strong (volts per meter) that it changes the friction (via changing the force) of the wiping and you feel 100Hz roughness which do not depend on how fast you move your finger. The capacitive impedance is high enough to prevent painful shocks, but you can easily feel it. It unfortunately in ungrounded systems bring mains AC voltage onto your hands through capacitors. The given comment directs you to an explanation which tells it reduces radio interference. As you noticed there's generally a capacitive connection between the DC output and the high voltage side of the power supply.
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