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.
- 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.
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
[2] https://en.wikipedia.org/wiki/List_of_numeral_systems#Standa...