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the RH (relative humidity) change when you heat air up (as it enters your house) is not a case of "subtract 20%", it's proportional to the temperature difference
when it is 0C outdoors, with 64% RH
Then once inside and warmed up to 22C, that air will be at 16.2% RH
-5C gets it down to under 12% RH
-10C gets it to 8.7% RH indoors
See this calculator: https://www.lenntech.com/calculators/humidity/relative-humidity.htm
In reality, because you breathe and sweat, indoor air is usually more humid than that, but it's quite possible to get RH below 30% when it's 0C and 64% RH outside
When it's -15C you should be very very careful with your guitars, even if you can't afford £5 for a hygrometer
Go round putting wet towels on radiators, etc.
Since then I have been much more careful and use a hygrometer to keep a check on things.
Seeing this issue come up again quite controversially, I decided to check the historical values on my digital hygrometer. I don't know the exact time period involved, presumably from the last time I changed the battery, but my my well heated, well ventilated house has experienced an all time high of 73% and an all time low of 27%.
much of Southern England drops below 0C, we're not concerned about averages here, but extremes.
I worked in London for a year, and it was regularly well under 5C
I drove to Surrey once through -13C areas covered in snow. A few days at that temperature and central heating or a wood burning stove could be very harmful
btw for anyone living in apartments with air conditioning, you have a lot more to worry about. AC takes most of the water out of the air. Very few systems replace it.
I just didn't want people subtracting 20
in fact best to just buy the detectors really
Google search page 1 confirms that coldest ever temperature in Surrey was -18C; 8 years ago http://www.frostedearth.co.uk/news/all-time-surrey-record-broken-with-minus-18.3c#:~:text=During%20the%20early%20hours%20of,this%20year%20across%20the%20UK.
And
-9C in 2018 https://www.getsurrey.co.uk/news/hampshire-news/farnborough-revealed-coldest-place-country-14345247
I can tell you that my guitars go out of tune and the action changes when humidity goes up or down a bit, tone can be affected too. You can end up with fret ends protruding. That's not my imagination, it's inconvenient, but not a major risk.
However, I use humidifiers to stop the humidity getting low. When it's cold and dry outside, it can get to 29% RH indoors in my house for days at a time, and I live in Cheshire, which has a mild climate.
With 30% RH, you are increasing the chances of cracks in the top, and other structural defects. Guitar makers are happy to explain this.
Certainly Colorado or Alaska would be worse, but that's not the point really.
Slightly high humidity is a problem that can easily be solved with silica gel packs, it's low humidity that we have to worry about, please reference my previous post about the bridge flying off!