If it can be played, it can be notated.
Technically true.
But in a practical sense, it's not very simple. The typical subdivision system works with a base of 2, meaning that you end up with halves, quarters, eighths, sixteenths, thirtyseconds, sixtyfourths, etc. With infinite subdivisions it's technically possible to notate a composite numeric value, but it isn't really practical. If the base of your subdivision isn't a prime factor of the actual value you're attempting to reach, you can't notate it without an infinite series. (For instance, you can't notate 2/3 by only using fractional powers of two (1/2, 1/4, 1/8, 1/16, etc) without an infinite series. Another option for these cases is to use a different base, but mixing bases in western notation is problematic. You could use n-tuplets for this, but this can also be complex.
While western music notation does have a lot of functionality, there are a lot of things it can't do well. Time division outside of western theory generally falls into this category, as well as certain rhythmic nuances. (These shortcomings are usually addressed via performance marks, tempo changes, or in the worse case scenario, liner notes. Consider swung eighths - standard notation doesn't really allow for this at all. Spanish music suffers the same information truncation, as well as some waltz forms which are more common in classical music.) Note that in these cases, the rhythmic "aberration" changes with the tempo - it's not necessarily a consistent subdivision value, something else that western notation can't encode. I would advise against using western standard notation as a single-solution tool to all kinds of music.
If I had to explain it to a classical musician, I might try to explain it in terms of ostinato and rubato, but I feel that might lead to some misunderstandings and a loss of the essential pulse. I might actually attempt to use dance to explain the concept, but even with liberal use of tuplets I don't think I'd be able to effectively use western notation to convey the concept.
Sorry - just my thoughts. Good luck.