Here according to me the left side time signature is 9/8 and the right side is 4/4. Am I going down the right path or are my thoughts wrong ?
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One important point: You can't necessarily determine a time signature just by looking at the music. You can rule many out, and you can make common-sense guesses (these examples let you do both pretty conclusively). But material in 4/4 and in "cut time" (2/2) would look the same; the difference would be in what is thought of as the beat. – Andy Bonner Nov 03 '21 at 19:37
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@AndyBonner while it's true that there will be some pieces, or at least some measures, that could be written identically in 4/4 and 2/2, many will be identifiable as one or the other from internal clues. For example, it's pretty clear that the second excerpt here is 4/4, as I suspect you will agree. – phoog Nov 05 '21 at 15:10
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@phoog There's a "high probability" that it is (if for no other reason, simply because common time is, well, more common, and there's no particular reason to suspect 2/2). I just wanted to make the point, though, since this came along as one of a [rash](https://music.stackexchange.com/questions/118299/identifying-complex-time-signature) of [questions](https://music.stackexchange.com/questions/118293/is-41-16-a-proper-time-signature) starting from the assumption that one can accurately reverse-engineer a time signature by looking at the notes (and confusing time signature with meter). – Andy Bonner Nov 05 '21 at 15:17
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You are correct in both cases. In the first excerpt, the easiest way to discern 9/8 is by focusing on the left hand. In the second excerpt, the 4/4 is clearest in the left hand of the first measure and the right hand of the second.
Aaron
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Both correct. 9/8 needs to be 3 groups of 3 quavers, as shown slightly less complex in bass clef bar 2.
4/4 is written best when the bar can be split into two equal halves, each containing the equivalent of 2 crotchets. Last bar, treble clef shows two halves, each with just that - 8 quavers. Well done!
Tim
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