I’d personally prefer 12 months with 30 days each, a 6-day week (makes for even rotations in shifts, 4 on 2 off), and an inter-calary week of 5 to 6 days at the new year.
If we’re going for broke on this I’d also want to convert to the dozenal system over decimal, as 12 is more easily divisible by smaller numbers which means easier division for numbers we use more often (like 3 or 4), which means that ¼ would be 0.3 and ⅓ would be 0.4.
you can still use your fingers. it’s how we got our standard of time. Back then they counted the joints in our fingers minus thumb. 4 sets of 3 for our four fingers and 3 joints per finger. Then 5 sets of 12 to make 60. as they would use the fingers on the other hand to track how many times they counted to 12.
You still get to count on your fingers. You use your thumb to count each bone in your 4 fingers to get up to 12. (“10” in the new system). Then you have the option to either continue with your other hand up to 24, or use it as an abacus, keeping your place while you count up to 144 (“100”).
A dozenal system is more difficult in multiplication. Decimal: 10^7 =10000000, 10^8=100000000, 10^9=1000000000, etc.
Dozenal: 12^7= 35831808, 12^8=429981696, 12^9=5159780352.
Gets very messy very quick.
Since we can count to “10” (12) on one hand, we can use the other hand to count sets of “10”, bringing us up to “100” (144). With decimal, we’re stuck at 20, and that’s only if we’re wearing sandals.
If you’re pointing to the last phalange on both hands, that would be “110” (156) though wouldn’t it. Since it would be “10” x “10” + “10”.
We could also use this method to count to 100 in base-10 using only the first 10 phalanges of the hand.
In dozenal (duodecimal), 6+6= a dozen, but we write “dozen” as “10”. A dozen dozen is not 144; it is “100”. 3 dozen is not 36; 3 dozen is “30”.
We would have two additional digits between 9 and “10”.
We would have to rewrite our multiplication table entirely. 2 * 6=10. 3 * 6=16. 4 * 6=20. But, when we do memorize the new table, it is just as consistent and functional as our decimal system.
I’d personally prefer 12 months with 30 days each, a 6-day week (makes for even rotations in shifts, 4 on 2 off), and an inter-calary week of 5 to 6 days at the new year.
If we’re going for broke on this I’d also want to convert to the dozenal system over decimal, as 12 is more easily divisible by smaller numbers which means easier division for numbers we use more often (like 3 or 4), which means that ¼ would be 0.3 and ⅓ would be 0.4.
12? Ew. As someone who relies on my fingers to count I repudiate such discriminatory system!
you can still use your fingers. it’s how we got our standard of time. Back then they counted the joints in our fingers minus thumb. 4 sets of 3 for our four fingers and 3 joints per finger. Then 5 sets of 12 to make 60. as they would use the fingers on the other hand to track how many times they counted to 12.
My favorite system like this is the Oksapmin counting system. They use a base 27 system. It’s based upon counting upper body parts.
You still get to count on your fingers. You use your thumb to count each bone in your 4 fingers to get up to 12. (“10” in the new system). Then you have the option to either continue with your other hand up to 24, or use it as an abacus, keeping your place while you count up to 144 (“100”).
You expect me to remember all that? Which thumbs? How many knuckles? When? Who?
Count between the lines!
Fuck it. Lets get real and just go all the way back to Sumeria. Sexagesimal numbering system here we come.
I like that with 13 each month starts on a Monday and ends on a Sunday. Makes that calculation super easy.
With six days a week for a 30-day month, each month would also start with the same day.
7 day weeks are such a mess
True. But I think as long as the weeks aren’t cut up by months it’s still a massive simplification.
A dozenal system is more difficult in multiplication. Decimal: 10^7 =10000000, 10^8=100000000, 10^9=1000000000, etc.
Dozenal: 12^7= 35831808, 12^8=429981696, 12^9=5159780352.
Gets very messy very quick.
That’s because you’re working in base 10. That person wants to covert to base 12.
In which case teaching kids to count becomes more difficult because we have ten fingers
Unless you use your thumb to point to the phalanges of each finger.
Ok that’s me convinced. I’m on board train dozenal!
Since we can count to “10” (12) on one hand, we can use the other hand to count sets of “10”, bringing us up to “100” (144). With decimal, we’re stuck at 20, and that’s only if we’re wearing sandals.
If you’re pointing to the last phalange on both hands, that would be “110” (156) though wouldn’t it. Since it would be “10” x “10” + “10”.
We could also use this method to count to 100 in base-10 using only the first 10 phalanges of the hand.
Yeah that’s true.
In base 12 12^7 would be written as 10000000 too.
In dozenal (duodecimal), 6+6= a dozen, but we write “dozen” as “10”. A dozen dozen is not 144; it is “100”. 3 dozen is not 36; 3 dozen is “30”.
We would have two additional digits between 9 and “10”.
We would have to rewrite our multiplication table entirely. 2 * 6=10. 3 * 6=16. 4 * 6=20. But, when we do memorize the new table, it is just as consistent and functional as our decimal system.