3 ms·

I find it fascinating that we have names for base 60 and base 12. Is there a name for every base? What is base-11? base-59?

adastra22 4y ago
Those names are literally just “60-per-digit” and “12-per-digit” in a combination of Greek and Latin.
cyco130 4y ago
That's because base 12 (dozens) and base 60 (minutes) are commonly used across cultures. So is 20 (vigesimal). Base 11 is called undecimal[1] and Wikipedia has a comprehensive list[2]. It doesn't list 59 but it would be enneaquinquagesimal if you follow the rules. [1] https://en.wikipedia.org/wiki/Undecimal https://en.wikipedia.org/wiki/Undecimal [2] https://en.wikipedia.org/wiki/List_of_numeral_systems#Standard_positional_numeral_systems https://en.wikipedia.org/wiki/List_of_numeral_systems#Standa...
- cyco130 4y ago
  And the rules are: - Use Latin for 1-10 - Use Latin 10n, 10n+1 and 10n+2 - Use Greek for the units + Latin for the tens for 10n+3..10n+9 The Greek-Latin mixup was probably caused by whoever invented the word hexadecimal (16). The older "sexadecimal" was maybe avoided due to the word "sex". "sedecimal" would be a bit more correct Latin but it doesn't seem to be attested.
  - peoplefromibiza 4y ago
    > The Greek-Latin mixup was probably caused by whoever invented the word hexadecimal it was simply very common to use Greek prefixes in Latin to indicate measures. Micro, mega, nano, etto, etc. are all Greek words. micro -> mikrós (small) mega -> mégas (big) nano -> νάνος (small in its own kind) etto -> ἑκατόν (100) hexadecimal comes from the Greek prefix έξι (pronounced exi in English it sounds exactly like sexy without the s) there were absolutely no issues with the word sex, sexagesimal (from the Latin sexagesimus which meant the 60th) is still a thing.
narag 4y ago
I find it fascinating that we have names for base 60 and base 12. They seem very similar to ordinals and partitive numerals in Spanish. Those words are being quickly forgotten except low values and powers of ten. But they were common knowledge years ago, I guess it was the same for other romance languages. Sexagésimo/a is 60th or 1/60. So sexagesimal is very natural.
xigoi 4y ago
https://www.youtube.com/watch?v=7OEF3JD-jYo https://www.youtube.com/watch?v=7OEF3JD-jYo

adastra22 4y ago

Those names are literally just “60-per-digit” and “12-per-digit” in a combination of Greek and Latin.

cyco130 4y ago

That's because base 12 (dozens) and base 60 (minutes) are commonly used across cultures. So is 20 (vigesimal). Base 11 is called undecimal[1] and Wikipedia has a comprehensive list[2]. It doesn't list 59 but it would be enneaquinquagesimal if you follow the rules. [1] https://en.wikipedia.org/wiki/Undecimal https://en.wikipedia.org/wiki/Undecimal [2] https://en.wikipedia.org/wiki/List_of_numeral_systems#Standard_positional_numeral_systems https://en.wikipedia.org/wiki/List_of_numeral_systems#Standa...

cyco130 4y ago
And the rules are: - Use Latin for 1-10 - Use Latin 10n, 10n+1 and 10n+2 - Use Greek for the units + Latin for the tens for 10n+3..10n+9 The Greek-Latin mixup was probably caused by whoever invented the word hexadecimal (16). The older "sexadecimal" was maybe avoided due to the word "sex". "sedecimal" would be a bit more correct Latin but it doesn't seem to be attested.
- peoplefromibiza 4y ago
  > The Greek-Latin mixup was probably caused by whoever invented the word hexadecimal it was simply very common to use Greek prefixes in Latin to indicate measures. Micro, mega, nano, etto, etc. are all Greek words. micro -> mikrós (small) mega -> mégas (big) nano -> νάνος (small in its own kind) etto -> ἑκατόν (100) hexadecimal comes from the Greek prefix έξι (pronounced exi in English it sounds exactly like sexy without the s) there were absolutely no issues with the word sex, sexagesimal (from the Latin sexagesimus which meant the 60th) is still a thing.

narag 4y ago

I find it fascinating that we have names for base 60 and base 12. They seem very similar to ordinals and partitive numerals in Spanish. Those words are being quickly forgotten except low values and powers of ten. But they were common knowledge years ago, I guess it was the same for other romance languages. Sexagésimo/a is 60th or 1/60. So sexagesimal is very natural.

xigoi 4y ago

https://www.youtube.com/watch?v=7OEF3JD-jYo https://www.youtube.com/watch?v=7OEF3JD-jYo