[abruzzi]

Not quite. It is correct to say that the numerator is the count and the denominator is what is counted. So 3/4 is 3 quarter notes, and 6/8 is 6 eighth notes. However which notes get the beat is a bit more fuzzy. 6/8 is usually but not always two beats per measure, with three eighths per beat (counted 1-tee-ta 2-tee-ta)

That gets to the concept of simple and compound meter. In simple meter the the beat gets divided in two and in compound the beat gets divided in three. (Complex is a mix, like 7/8 may be divided 1-and 2-and 3-tee-ta).

Ultimately, the beat can be more interpretive. The 2nd movement of Beethoven’s 9th symphony is in (mostly) 3/4 but it is so fast, no conductor beats it in three, they beat in in one.

[delinka]

"... two beats per measure, with three eighths per beat (counted 1-tee-ta 2-tee-ta)"

I've never heard this. I've only ever heard it as "1 2 3 4 5 6"

[yesenadam]

or 1 and a 2 and a..