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I've seen a lot of 6/4, 12/8 - in fact, I use the latter a lot. So there's no problem with having a numerator bigger than its denominator.

What I can't grasp, however, is what such a denominator as "3" stands for. I take 1 as representing a whole note pulse, 2 as a half, 4 as a quarter, 8 as an eight-note pulse, and so on. I see no place for denominators such as 3, 5, 6, 9... or 0, for that matter.

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Funny - I've never been able to use different time signatures for each hand in a piano work in Finale.

Not that I wouldn't like to - for instance, look at Tchaikovsky's third movement of the Pathetique Symphony (a quick-step march in 4/4 and 6/8 at once)...

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