Which time signature specifies that there are two beats of half notes per bar?

The time signature that specifies there are two beats of half notes per bar is 2/2. In this time signature, the top number indicates the number of beats in each measure, which is two, and the bottom number indicates that the half note gets the beat. This means each measure contains two half-note beats, making it suitable for music that is often conducted in a more straightforward and less syncopated manner.

The other time signatures do not match this description. For instance, 3/2 would have three beats per bar, each of which is a half note, thus making it a different rhythmic structure. Similarly, 4/2 indicates four half-note beats per bar, and 2/8 denotes two beats per bar but with the eighth note as the unit of measurement. This understanding of time signatures is essential for interpreting and composing music correctly.