Which type of interval is described as a half step greater than the corresponding major/perfect interval?

The correct answer is the augmented interval, as this type of interval is defined as being one half step larger than the corresponding major or perfect interval. In music theory, intervals are classified based on their size and quality. A major interval is enhanced by a half step to create an augmented interval. For example, if you take a major third interval, which spans four half steps, augmenting it would expand it to five half steps, thus making it an augmented third.

In contrast, a diminished interval would be one half step smaller than the corresponding perfect or minor interval, while minor intervals are already considered smaller and are formed by lowering a major interval by one half step. Perfect intervals themselves do not fit the context as they are the benchmark against which augmented intervals are defined. Therefore, the augmented interval uniquely stands out as one that exceeds the size of its major or perfect counterpart.