I'm not extremely versed with music theory so forgive me if this is trivial.
I was having a casual conversation with a teacher regarding the idea of "quintuplets" and other "k-tuplets" as a natural generalization to triplets, where one has k evenly spaced sub beats per whole beat.
The individual said this is inpossible. Which I assumed meant, "very difficult, or unusual" but they clarified by saying it is physically impossible to have anything outside of triplets, and powers of two.
I found this hard to believe but they were very rigid in their thinking and insisted I was being ridiculous for thinking this was possible.
Would someone be able to explain why it is formally impossible to have quintuplets etc in music. I must be silly but I can't see why one can't just arbitrarily subdivide a beat as they please.