Although the time signature alone doesn’t tell you this, there is an unwritten rule that 3/8, 6/8, 9/8, and 12/8 all have 3 eight notes per beat. While 3/4 and 6/8 might have the same number of eight notes, 6/8 has two beats that are longer than the same measure written in 3/4.
Take a look at [Bernstein’s America](https://youtu.be/Z0SAgRSXdqQ?si=blqIY4WHwd1wj6ZJ) just after the 1 minute mark. It transitions from 6/8 to 3/4 every other measure. In fact, to simplify the notation the time signature is written 6/8(3/4) once at the beginning of the section.
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