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An interval is simply the distance between two notes. The sound of a scale will be characterised by the intervals involved in it.
Each degree of a scale is given a roman numeral: I, II, III, IV, V, VI, VII, VIII. These are all relative to the major scale. There are five different terms which can be used to describe the type of interval:
Perfect, Major, Minor, Augmented, and Diminished.
Perfect intervals are the unison, fourth, fifth, and octave. Major intervals are the second, third, sixth and seventh. Minor intervals are created when a major interval is lowered by a semitone (one fret). Augmented intervals occur when an interval is raised by a semitone. Diminished intervals occur when an perfect or minor interval is lowered by a semitone.
Intervals greater than an octave are usually called compound intervals and follow on as you would expect in numerical order.
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