So it is clear now that this post has created a highly teachable moment. You are an experienced guy highfigh but you are seriously in need of further education on this one.
Your above statement is correct and dead wrong at the same time.
You are correct that a turntable is an analog device. So I maintain LEDs and dimmers generate a lot of RF and thought that likely this was the cause of the buzz from his turntable. You thought it was AC EM induction, not an unreasonable hypothesis. But the obliging OP moved his cables and the buzz was still there. So how does this RF interference way, way above the frequency of human hearing make an audible buzz to come out of his speakers?
So now I have have to don my professorial hat again. I will try and make it as entertaining as I can. The points I'm going to make are now more important then ever in the design and installation of AV systems.
Now this old man is going to go back to his early childhood and the building of a crystal set with my father age 5. I remember it like yesterday and still actually have the book that explained it in a way a young child could understand. "Wireless works like this."
So lets go back to my nursery in the OP.
As I remember it this was the circuit.
View attachment 33527
There is no battery. The power to drive the headphones bought from the army surplus store are powered from the energy in the radio signal. The antenna connects to a coil in parallel with a variable capacitor and forms a variable tuning circuit for the different frequencies of the stations. The detector circuit is completed by the diode D1 which is, guess what? It is a semiconductor junction. This is the detector and circuit that converts the RF signal into an audio signal the headphone wearer can hear. Now remember this simple crystal radio circuit as it is key to really understanding the OP's buzz, and lot of others.
Now lets look at a transistor. It is a sandwich of two diodes, like in the crystal set but made so that two of the junctions share a common semiconductor material. Note there are two semiconductor junctions.
The vertical line is the base, and the middle of our sandwich. The one with the arrow is the emitter. The one without the arrow is the collector. Now the signal is connected across the base emitter junction which is low impedance. The base collector junction is high impedance. The signal sneaks electrons onto the base and allows current to flow across the high impedance junction. This is how amplification occurs when a power source is added.
Now the really important point is the base emitter junction is a diode just like the diode in our crystal radio set and can detect an RF signal and make it audible. BUT it is now powered, and has gain that our crystal radio does not.
So now lets look at a simple transistor voltage amplifier, it could be IC or even tube for that matter it makes no difference.
Just look at those semiconductor junctions. The base emitter junction of the first 2N3904 junction has any RF it detects and rectified amplified all the way up the chain.
Now lets look at how speaker wire can and does become an antenna for RF noise to be detected and amplified. You will now see the reason I place my speaker cables in metal conduit.
So this is a very simple power amplifier. Now VO would be the speaker terminals.
Now look at the negative feedback circuit from C4 and R2. The speaker wires create an antenna for feeding back RF hash right into the early voltage gain circuits. Again it does not matter whether it is solid state or tube these devices are able under many conditions to detect and rectify RF signals and make them audible.
Now my contention is that this is something we all have to understand. I hope I have presented it in a way the least technically inclined members can understand.
Now that we have much more RF hash in homes this is a pressing issue made even more manifest by the number of channels we are using. This makes me the poster boy as my system has 18 amp channels.
So a buzz in four channels rather then 2 gives us a 3db increase, going to 8 gives is 9 db and going to 16 gives us 12 db compared to two channels.
So in my rig I really have to pay attention to this as if I get RF penetration have 13.5 db more noise than from a 2 channel rig. So that means I have to really carefully plan and install everything and pay close attention and participate fully in the design and wiring of the home.
Lastly lets just return to the OP and his turntable LED light and dimmer. I will put back up my crystal set from the nursery once more. I will show you how a turntable becomes a worst case scenario.
View attachment 33528
So the cartridge coils can substitute for the inductor L1 and the cartridge loading capacitance for capacitor VC1 and the first base emitter junction of the phono preamp the diode D1. Now we have our crystal radio, but now with amplification!
No wonder the OP has a buzz from his LED light and dimmer.