In music, interval cycles, "unfold a single recurrent interval in a series that closes with a return to the initial pitch class", and are notated by George Perle using the letter "C", for cycle, with an interval class integer to distinguish the interval. Thus the diminished seventh chord would be C3 and the augmented triad would be C4. A superscript may be added to distinguish between transpositions, using 0-11 to indicate the lowest pitch class in the cycle. "These interval cycles play a fundamental role in the harmonic organization of post-diatonic music and can easily be identified by naming the cycle." (Perle, 1990)
Intervals may also be labelled according to their diatonic functionality, as is commonly done for tonal music, and according to the number of notes they span in a diatonic scale.
Intervals may also be described as narrow and wide or small and large, consonant and dissonant or stable and unstable, weak and strong, simple and compound, vertical (or harmonic) and linear (or melodic), and, if linear as conjuct/steps or disjunct/skips.
An interval may be inverted, by raising the lower pitch an octave, or lowering the upper pitch an octave (though it is less usual to speak of inverting unisons or octaves).
The inversion of a majorinterval is a minorinterval (and vice versa); the inversion of a perfect interval is also perfect; the inversion of an augmentedinterval is a diminishedinterval (and vice versa); and the inversion of a double augmentedinterval is a double diminishedinterval (and vice versa).
Intervalcycles, "unfold a single recurrent interval in a series that closes with a return to the initial pitch class", and are notated by George Perle using the letter "C", for cycle, with an interval class integer to distinguish the interval.
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