Honnest answer, 1/2 in DEC is 0.5 easy. 1/2 in base 13 is .6666666666.... Easy but ugly. You want a base that has comon fractions easily represented by decimals. People like dozenal since many fractions are easily represented. 1/2 = 0.6, 1/3 = 0.4, 1/4 = 0.3
I'm personally a fan of hexidecimal partly because I'm a programmer and partially because it can be halved several times
I still think some largish prime, like 37 hits the perfect spot of being usable enough for people to use, but still useless enough to stop almost everybody from learning any advanced math.
But yeah, making integers non-representable is a serious trade-off that deserves consideration.
Use the other hand to count twelves! Each time you fill up one hand, add one to the other. That way you can get all the way to 156, which is probably more than you'd ever want to count one by one anyway
To be fair, you should be comparing 2 hands in base 12 to 2 hands in base 10, I. E. 20:24. Still a real difference, but not the 10:24 difference you pointed out.
Binary is very good for counting with your fingers. With both hands you can count to 1023. One hand is 31, which is still usually more than you typically need to count. It's also trivial to do once you know how binary works. It takes very little thought, though potentially the decoding could take a bit depending on your proficiency.
I agree it can feel weird, but first this isn't how we are used to doing it so it hard to compare, and also normally we want our fingers in very precise positions (probably because it's easier to show other people). When doing binary I feel it's easier to ignore precise positions. I just use the half of my finger after the middle knuckle and let my fingers move as they please. We only need to track up or down, so it doesn't need to be precise.
Practice helps. I'm not good at it, but I can manage it fine at this point. For sure it'd doable, but I rarely have to count, and when I do I can generally do it in my head fine. I could see myself using it maybe if tracking a large number over a long time, but I don't see that case ever coming up organically.
I find it useful if I'm counting only specific instances of something that meet some criteria. That way my brain can focus on picking out the right things and not have to worry about keeping the current count in mind. I use the method with your thumb on each segment of your fingers though, so you can get up to twelve with one hand and 156 with both
Billions of years ago, our collective great-great-great-[several million more]-grandparent evolved a fin with a five bone structure. That idiot didn't know anything about common denominators, and now we're stuck with this numeric system that can't divide things into thirds without causing issues.
This would be great. I was researching why we don't have 10 based clocks and then I saw a video about why a 12 and 60 based system is actually much more convenient and now I would love a 'dozen based metric system'
Common denominators. You can divide base 12 into half, thirds, fourths, and sixths and still use integers. I find thirds to be particularly useful, so base 16 is out. Base 60 can do it, but that's getting unweildly.
You can do base 12 on fingers! You count each of the 3 segments on each finger and ignore the thumb (you can use it to keep your place), so you can count up to 12 on just one hand! :)
This is why I'm not totally sold on the idea that we use base 10 because we have 10 fingers. There are a lot of ways to count with your fingers. Plus, there are many cultures throughout human history that use something else. Base 10 in modern times might just be a historical quirk.
Use the other hand to count twelves! Each time you fill up one hand, add one to the other. That way you can get all the way to 156, which is probably more than you'd ever want to count one by one anyway