I have a new guitar (tele w/ noiseless pickups), and it is making a buzz or a hum noise. I run a cable directly from the guitar to Focusrite 2i2 audio interface, into a desktop computer (or laptop, see below), through TV speakers. I don't have spare guitars, amps, or cables, so I don't know if the problem is in the audio interface, the cable, or the new guitar. But here is what I can tell you.
I recognize the typical 60 cycle hum, and it sounds a lot like that.
The hum disappears 95% when I unplug the power source and run on battery. Then the further I remove the power cable from the computer the more the hum disappears.
It hums regardless of which pickup is being used, but the tone of the hum changes.
The hum is reduced, almost eliminated when I turn the guitar's tone knob to 0.
The hum is slightly reduced when I touch the strings or other metal parts.
The hum gets louder when i remove the cable from the guitar. Then it disappears if I remove the cable from the audio interface.
The hum disappears when I turn the guitar's volume knob off.