Here's our C major scale:
do re mi fa sol la te do C D E F G A B C
An interval is the distance from one note to the next. We name the intervals according to their place on the major scale. From C to E, for instance, is called a third (okay, a major third). From C to A is a sixth. D to B is also a sixth. Do you see this? The starting note becomes your root and B is the sixth note in a D major scale. Using this same logic, D to F is not a third, but a MINOR third. How about E to A? Right, it's a fourth. And E to C? Right again, E to C is a minor sixth. An eighth, from C to C, D to D, F# to F#, and so on, is called an OCTAVE. I'm sure you're all familiar with that one.