Which of these intervals is a half step?

• G to A-flat
• E to F-sharp
• C to B-flat
• All of the above

The interval E to F-sharp is a half step.

A half step is the smallest interval in Western music, and it refers to the distance between two adjacent notes on a keyboard or a guitar fret. In this case, the interval of a half step can be found in the following option:

• E to F-sharp.

The other intervals listed are not half steps:

• G to A-flat is a whole step since it includes two half steps between G and G# and between G# and A-flat.
• C to B-flat is also a whole step since it includes two half steps between C and C# and between C# and B-flat.

Therefore, the correct answer is:

• E to F-sharp.

To determine which interval is a half step, we need to check the distance between the two notes on a musical scale. In Western music theory, a half step, also known as a semitone, is the smallest interval between two adjacent notes.

Let's analyze each interval mentioned:

1. G to A-flat: To find the distance between G and A-flat on a piano keyboard, we count the number of keys, including both black and white keys. In this case, there are five keys (G#, A, A#, B-flat). Since there are five keys between G and A-flat, this interval is not a half step.

2. E to F-sharp: Similarly, count the number of keys between E and F-sharp on a piano keyboard. In this case, there is only one key (F-sharp/G-flat) between E and F-sharp, which means this interval is a half step.

3. C to B-flat: Again, count the number of keys between C and B-flat on a piano keyboard. In this case, there are ten keys (C#, D, D#, E, F, F#, G, G#, A, A#) between C and B-flat. So, this interval is not a half step.

Based on our analysis, only the interval "E to F-sharp" is a half step. Therefore, the correct answer is: "E to F-sharp".