Alex Bellos and Danish Numbers

Alex Bellos is the author of the Language Lovers Puzzle Book and today challenges you to work out how they count in Danish.

[jasonremy]

And I thought French had the strangest european number system, what with 91 being "four-twenty-eleven" but Danish looks to give it a run for us money.

6, 23, 62 70. units before decades (or however they are called in English), as in German and old English. With the examples you do not even need to realise it's base 20 and 50 is half 60, for example

[krotenschemel]

I'd say in terms of number systems and weirdness, one is very hard to beat...

So, for writing, you have a system, which has a very weird behaviour, in that there are no real base, but the number itself is a small puzzle. For example, you count 1, 11, 111, 15, 5, 51 and so on. weird!
Now you take this writing system and apply it to base 12.
However, for fractions you go to base 60, but write in normal base 10, unless both numbers go together, as a whole and a fraction, then sometimes an alterntive is used, where ".5" would mean "30" as it's half of base ten, so you are to assume, you would need half of base 60.
Linguistically, there's also this this weird way of "half" meaning "half way to the next". So, "half 6" Would be actually 51, 30.
There's also no 0, so to subsitute you start counting at the maxmium, and then go to the first.
The next higher system then base 2. And from here on out words are used for the numbers. Then the next base is 7. And after that the basis become actually irregular. Somtimes you count to 28, but sometimes to 31. And above that there are actually two basis, one would be 12, however there's also an irregular 365ish base. And after that we are at a consitent base 10, however there is no 0. However, there aren't straightup following each other, but are more a web of intertwined things which can get navigated in different ways. For example, that base 7 thing doesn't go into the base 30ish thing. Furthermore, the which of those gets mentioned when is scrambled.
Now, while everyone can agree on these rules, there are still different standarts of how to write it down and which is which.

There was once a vote to just use base 10 and call it a day. It got rejected.