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2/4 v. 4/4 is more about the number of quarter notes (beats) per measure (2 v. 4, respectively).

Similar deal with 3/4 v. 6/8. In 3/4, you have 3 beats per measure, subdivided into halves (duplets). In 6/8, you have 2 beats per measure, subdivided into thirds (triplets).




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