There is a song called Evol by Damian leGassick. Its time signature is 59/48. It is weird and I don't know which way to interpret it.
There are two ways this can be interpreted:
It can be interpreted as fifty-nine 48th notes, so exactly like it says. 48th notes mean, that there are 48 of those notes in a whole note. So since there is 48 of them in a whole note, there is 12 of them in a quarter note, 6 of them in an eighth note, or 3 of them in an sixteenth note. So in other words a 48th note is one third of a sixteenth note (one third of 32th note triplet), and there is 59 of those in each measure.
It can be broken down into a combination of two different time signatures by splitting the time signature into two parts. We can split it into 54/48 (which reduces into 9/8) and additional 5/48, which can be further split into 1/16 and additional 2/48 which reduces to 1/24 (which is a one third of a 16th note triplet). So in other words it can be interpreted as nine eighth note beats, additional sixteenth note beat, and additional one third of an eighth note which is one third of a sixteenth note triplet.
Which of those is more reasonable? And why would anyone write a song in a time signature like that at all?