Interval scales are numerical scales in which intervals have the same interpretation throughout. As an example, consider the Fahrenheit scale of temperature. The difference between 30 degrees and 40 degrees represents the same temperature difference as the difference between 80 degrees and 90 degrees. This is because each 10-degree interval has the same physical meaning (in terms of the kinetic energy of molecules).
If I am understanding this rating scale correctly, the interval scale is significant to me because it is one that I personally experience and had to participate in when I experienced short term memory loss during an illness. The Wechsler Memory Scale task is when a person is asked to remember a number while listening to a story and then recall the number later. This is measured on an interval scale because the score goes up in equal steps based on how many numbers are remembered but the score of zero does not mean the person has no memory at all. Simply it is meant to access the severity of memory loss if any is being experienced by the subject.