Yes, Thomas Ades and Brian Ferneyhough and Kyle Gann and many others have
written music in non-binary meters like 7/6 and 21/10 and so on. This is
hardly unusual nowadays. In fact, these kinds of meters go all the way back
to Henry Cowell's "New Musical Resources," written in 1930, though Cowell
used idiosyncratic notation (diamond-shaped and square-shaped noteheads)
instead of a non-binary meter. But this kind of stuff has been done in
serious contemporary music since 1930 at least, so it's hardly
earth-shattering or exotic.

Irrational meters like 5 in the time of the cube root of 1119, now, that's
considered exotic today.



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