MUSIC THEORY FUNDAMENTALS - Chapter 6, Exercise 3 Solution
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Why 3/4 and 6/8 Sound Genuinely Different

PROBLEM
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Explain, in your own words and using this chapter's own real comparison,
why a listener can genuinely tell the difference between a 3/4 measure
and a 6/8 measure even when both contain exactly the same six eighth
notes.

SOLUTION
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The chapter established that although both meters can contain six
eighth notes per measure, those six notes are grouped differently, and
that grouping is exactly what a listener actually hears as the meter's
own real "feel."

In 3/4 (simple triple), the six eighth notes group as three separate
pairs (2+2+2), with a real, audible accent falling on each of the three
quarter-note beats - the listener feels three roughly equal pulses per
measure.

In 6/8 (compound duple), the same six eighth notes group as two triplets
(3+3), with a real, audible accent falling only on the first note of
each triplet - the listener feels just two stronger pulses per measure,
each one containing a real "swung" triple subdivision underneath it.

ANSWER: A listener can tell 3/4 from 6/8 apart because the accent
pattern - which specific notes feel emphasized - is genuinely different
between the two meters, even though the raw note count is identical.
Three roughly equal pulses (3/4) feels and sounds different from two
stronger pulses each subdividing into three (6/8).

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WHY THIS WORKS AS AN ANSWER

This directly explains the chapter's own closing observation that
composers can "slip" between 3/4 and 6/8 just by shifting where the
accent falls - if the note count alone determined the feel, no such
slipping would be audible at all. The real, felt difference comes
entirely from where the ear perceives the strong beats to be, which is
a direct consequence of how the underlying meter groups its own beat
subdivisions (into 2s for simple meter, into 3s for compound meter).