Silvain Dupertuis <silvain-dupert...@bluewin.ch> writes: > It is better not to confuse a /fraction/ (as an expression) and it's > /value/ (as a /number/) — a number cannot have a numerator or a > denominator!
Well, a *rational* number does have a well-defined denominator: Because of unique factorization of the integers, there is a unique representation of a rational number as n/d where n and d are integers with no common factor and d is positive. Now if we wanted to think about time signatures N/D where N and D are elements of, say the integers with the square root of -5 adjoined, that's another matter. Any takers, you composers out there? :) -David
