The short answer to why we use it is that we inherited it - base 12 of hours/months from the Egyptians and base 60 of second and minutes from Mesopotamians (who got it from the Sumerians).
Egyptians used base 12 a lot for a similar reason that we use base 10 a lot. We use 10 because we have ten fingers, and they used 12 because one hand has 12 knuckles (they'd count on one hand). But it was handy because there are 12 lunar cycles, so it helped keep things more consistent.
Base 60 is also handy because 60 is first number divisible by the first six counting numbers and by 10, 12, 15, 20 and 30. If you use 60, you have options! Note that we also use 60 for angles and dividing up the globe.
Yes, 60 is pretty much a goldilocks number that is small enough to be easily graspable for most humans, but still a highly composite number (11 factors!) so it is neatly divisible into many smaller units.
Yep. Your four fingers have three knuckles each. You count along them with your thumb. Then each count of 12 is counted with an extended finger on your other hand. Extend all five fingers and you have 60.
I accidentally came upon this same system messing around during long periods of boredom, and now I do all my counting this way. I also include the base joint of each finger so I can count 4 per digit
Unix time is base 10 and I’d say it is pretty widely used. Not for wristwatches but by all kinds of software on the device you’re using to read this right now.
Unix time is just the number of seconds since January 1 1970, isn't it? How is that base 10, or any other base? If anything, you might argue it's base 2, since computers generally store integers in binary, but the definition is base-independent afaik.
While it would he handy to have everything integrated, it's not always vital. We don't need to convert kilograms to seconds very often. Artificially enforced systems have always had trouble replacing older anachronistic ones that are otherwise still useful. Ask people in the UK about their cars' efficiency and you'll often get an answer in miles per gallon.
There's nothing magical about 10, either, other than the accidents of evolution that left us with ten fingers. Base 12 is also extremely convenient, and comes from Sumerians counting with their thumb against each of the three joints on 4 fingers. Go through that process once for each finger on the other hand, and you get 60. And of course, in any industry where things are packed into packages, like nearly everything we buy, dozens fit better than tens. 60 divides very neatly into many convenient and geometrically simple fractions, and a lot of what we do with circles benefits from this.
We probably would have been better standardizing on a base unit that's a power of two, which has more mathematical weight than ten does.
As you said there is really nothing special about 10 and you could easily redefine prefixes to whatever base you want.
In base 12 a day has 20 hours, an hour has 50 minutes and a week has 120 hours. The numbers are as arbitrary as before. Except the 0th index is always 0 in these cases.
While the origin has been explained well, a base change really doesn’t solve the underlying problem with time as we define it. I don’t think this has a good solution and probably doesn’t need one.
Furthermore, there's something to be said for units that are "the right size" as it were. It's hard to measure the distance from your house to the store in parsecs for example, unless you own 1:1 scale copy of the millennium falcon.
A day cycle is a time unit that has been thrust upon us by physics and biology, and we have to then split it into useful segments, and base 10 honestly does a poor job of that. You end up having to describe most things as 0.5 decimal minutes or 2 decimal minutes depending upon how you want to round them, since very few things actual sit close to the amount of time described by 1 decimal minute.
Whether that's because our culture thinks in "minutes" or not is debatable, but the point is that trying to move to such a system is nearly impossible, at least at the moment.
I was writing a reply but you said most of it, so I’ll add here. There has also been attempts and/or proposals for decimal time, but the base 12 system is quite rooted. For example during the French revolution: en.wikipedia.org/wiki/Decimal_time
Yeah, but honestly i think both are kinda stupid. we should use something sensible like base 16(easy conversion to binary but better readability) or base 12(easily divisible by 2, 3 and 4).
There actually have been a couple of times, the most recent one I can think of is the Swatch “Beat” from the late 80s. There are also a couple sci-if books that use it (Stross, I think).
The problem is inertia, and what problem does it solve.
IIRC, people have tried to create, and enforce, metric time in the past but it always fails. Basically it seems like that ever since the Mesopotamians invented base 60 mathematics for keeping track of time, some geometry, and related concepts it is stuck for that purpose because it really does seem to be the best number set for the job. It did not stick around for anything else though because it’s basically garbage for those tasks. Base 10 works pretty good; it’s easy to move around zeroes and decimal places, and since most people have 10 fingers it’s pretty intuitive.
Pilots keep their logbook in decimal hours, and the tach meter (engine hours at a certain speed) and Hobbs meter (aircraft operated hours) are decimal too.
Each decimal hour (0.1) is equal to 6 minutes. So if I ‘fly’ for 1 hour and 13 minutes I log 1.2 hours. I don’t do the mental math though, I just record what the Hobbs says.
Decimal time was introduced in Revolutionary France, just like the metric system and a decimal calendar. They made it non-mandatory after 17 months, partly because of the enormous costs to replace all clocks. The decimal calendar survived longer and was abolished by Napoleon as part of his reconciliation strategy with the Catholic church.
Decimal time is still used by the way. Astronomers use fractional days because it’s easier to do calculations with. And that very same ease of use is why Microsoft Excel uses fractional dates to calculate dates, as it requires less calculations.
Love the modified Julian date. You’ll also find some satellite-based astronomers measuring their observations in kiloseconds (I think Hubble does it in orbits but most of the X-ray satellites use kiloseconds).
I think it’s because there are important, naturally occuring units of time that simply don’t divide well - that is, the day and the year. Having it standardized to metric would still leave us with 1:365.24 conversion. Using metric time would require us to stop being metric beyond the day, or just have a cumbersome conversion number to talk about years.
On the other hand, things like weight, length, and temperature are completely arbitrary and there’s no natural standard unit, so changing those to another completely arbitrary unit is easy.
12 and 60 divide nicely. A quarter of a 12-hour clock is 3 hours, but in decimal time it’d be 2.5 hours. A third is 4 hours in base 12, but some gross 3.33 repeating in decimal.
Metric isn’t better because it uses 10, it’s better because it uses the same base for everything. A measurement system (and number system) that uses 12 for everything would be better than both imperial and metric.
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