Newbie question! The time signature for this tune is 3/2 but could it just as correctly be marked as 6/4? What criteria would you use to decide between the two or is there no difference?
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On paper it looks very much like 6/4, because of the positions of the minims, but actually it is syncopated. The computer performance is very slow and misleading. If you listen to a real performance, it is definitely 3/2, not 6/4.
That's because there are three beats in each bar, not two.
It is conventional to write 3/2 for three minims in a bar, and 6/4 for two dotted minims. They might be the same in terms of arithmetic, but the 6/4 form draws attention to itself as not 3/2, so it was adopted centuries ago as a way of saying "this is compound time."
There are good answers here. But something that is unwritten in those answers thus far, but nevertheless will help you to understand them is that, traditionally, time signatures in multiples of 3 starting from 6 (ie. 6, 9, 12, 15, etc) are called compound meters, and have (n/3) beats beats per bar. This is in contrast to simple meters, which are meters that subdivide exclusively into halves. (4/4 is the most common simple meter.)
Since a numerator of 6 implies a compound meter, 6/8 actually has two beats, not six, and is often counted something like "One-and-ah Two-and-ah".
This makes 6/4 fundamentally a different meter from 3/2.
I haven't listened to the piece, but given that we're deciding between 3/2 and 6/4 based on sheet music and not a recording, I'd listen to the piece and figure out whether every second quarter note sounds more emphasized (so 3/2) or every third quarter note is (so 6/4).
(If I were to decide on time signatures based solely on recordings, I'd likely use 3/4 or 6/8 instead, but I'd also have to figure out whether the emphasis is less on every second "triplet" (so more likely to be 6/8), for starters...)
Those time signatures have very little to do with each other. 6/4 is compound duple time with a beat consisting of a dotted minim where 3/2 time is simple triple time where a beat is equal to a minim.
You can covert simple an compound time signatures to each other while you keep to the amount of beats. You can make, for instance compound duple time into simple duple time, so 6/4 into 2/2. You can also turn simple triple meter into compound triple meter, so turn 3/2 into 9/4 for instance. You cannot convert triple time into dubbel time