It's never occurred to me that it may vary with the temperatures/seasons.

I'll keep this in mind.
I went outside yesterday afternoon and had a good listen at the property line. I'm sure it's coming from his house. Standing at the fence, about 30' from the back door of his two story house I'd estimate at 1600 square feet, the sound is a lot more complex than what I make out inside my house (i.e. in my bedroom). I hear the ~570 cycle tone in my house but outside it's got a lot more going on,
I think a motor is involved and there's whooshing, churning, maybe some whistling, all that kind of thing. It almost sounds like what I'd expect to hear if a vacuum cleaner were on, but obviously noone keeps a vacuum cleaner on for hours at a time. I don't hear it right now and it's 3:45 AM. I have to wonder if it's a heating system. I'd expect to hear that kick on occasionally, kick off occasionally during the day, more on in the evening and at least some of the time during the night and early morning. It doesn't seem to have that pattern. It's persistently on for stretches with those short off moments ranging from 3-5 seconds to a minute or two. I have to think it's not there at all for hours as well.