• dancing_umbra@lemm.ee
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    1 year ago

    I’m not defending it, but it’s because 12 has more factors than 10

    10 has 2 and 5

    But 12 has 2,3,4,6

    So 1/2 ft, 1/3 ft, 1/4ft and 1/6 ft all have a whole number of inches

    • quantenzitrone@feddit.de
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      1 year ago

      Using a base12 system would only make sense if we all started counting in base12 too.

      If enough people want that, i’d be down to start counting in base12, but i don’t think many people will lol.

      • p1mrx@lemmy.world
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        1 year ago

        if we all started counting in base12 too

        You could start by calling it twelve instead of 12.

        • duffman@lemmy.world
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          1 year ago

          To keep things as simple/intuitive as they are today, we’d need two new symbols to represent the additional numbers. 0,1,2,3,4,5,6,7,8,9,§,∆,10

          Of course it would be confusing as all hell for anyone alive today.

          • stewsters@lemmy.world
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            1 year ago

            With hexadecimal we typically use a-f for the remaining numbers. We probably would use something like this for base 12:

            012345679ab

            Of course everyone knows the correct base to use is 2. Or as we call it, base 10.

            Actually, come to think of it, it would always be 10 in the base that it is.

            • Eufalconimorph
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              1 year ago

              Yes, 10 can be any number if you change the base. Non-integer bases are weird, but a few (like base φ) see some use.

    • Eufalconimorph
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      1 year ago

      But it doesn’t use base 12. Take distance. Values smaller than 1/64" are measured using “thou”, “tenths”, and “millionths”, which are decimal multiples of 1/1000’, 1/10000", and 1/1000000" respectively.

      Values between 1/64" and 1" are measured using dyadic rationals, i.e. base-2 fractions.

      Above 1" it’s mostly base 12,except for the yard.

    • p1mrx@lemmy.world
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      1 year ago

      So 1/2 ft, 1/3 ft, 1/4ft and 1/6 ft all have a whole number of inches

      The same is true if you start with 300 mm instead of 1 foot.

      Though dozenal numbers with a corresponding dozenal metric system would be very convenient, if you ignore the enormous cost of switching.

        • Solemn@lemmy.dbzer0.com
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          1 year ago

          Also, on the practical level, I have a specific mark to go to for 1/4". 1/4cm involves me guestimating the middle between two mm marks and just deciding that that’s middle enough. Small errors like this can actually add up really fast in something like woodworking

    • Fonzie!@ttrpg.network
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      1 year ago

      Okay, so why inches divided into 8ths?

      And why are there 16 cups in a gallon, 15-and-some tablespoons in a cup and 3 teaspoons in a tablespoon?
      Better make it 12 tablespoons in a cup and 12 cups in a gallon, then!

      And why are there 14 pounds in a stone and 16 ounce in a pound?

      The imperial system does not use dozenal.
      It uses a clusterfuck of bases because it’s actually a clusterfuck of measuring systems in a really big trenchcoat