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Note: Duple and quadruple meters are combined in the following list. This is because they are usually indistingushable when hearing the music, though the distinction may seem clear when looking at the time signature.
Simple Duple (2/4, 2/2 or cut time...)
and Simple Quadruple (4/4, 4/2,4/8...)
Compound Duple (6/8, 6/4...)
and Compound Quadruple (12/8, 12/16... Also 4/4 with constant triplets, and some jazz and blues with a "swing")
Simple Triple (3/4, 3/2...)
Compound Triple (9/8, 9/16, 9/4... Also 3/4 with constant triplets)
Free (no bar lines, or the time signature changes almost every measure, or the strong beats are unpredictable and do not correspond to the time signature)
Asymmetric (Irregular) (5/8, 7/8, 5/4...)