I’m working through a Barrons AP Music Theory book and was very confused by one of the diagrams. The diagram begins with a major second created by a G to an A, or a M2 due to it being a whole step. It then adds a sharp to the G, making the interval a half step smaller. They then label this an augmented 2nd, despite it being a smaller interval than before. Wouldn’t a G sharp to an A be a m2? Could someone explain why or why not this is true? Or is it a printing error in the book?
Edit: here is the diagram in question. Everything except the leftmost example makes sense to me.