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The article discusses the use of chordal identification which can be used in both pop-rock music and classical music theory. The author describes a method in which every sonority should be considered a genuine chord and covered the various levels enabling difference between sonorities. He suggests categorizing chordal identification based on temporal location, color, Roman numeral, function and hierarchical position.

MUSIC THEORISTS OFTEN PRESUME that the sections of a musical masterwork match organically, enhancing unity and value. This "inner form" should be distinguished from coherence associated with inter-opus constraints, such as conventional forms. Studies indicate that violating inter-opus constraints hardly affects listeners' aesthetic judgments. Here we examine how violating inner form affects such judgments. Musically trained and untrained listeners heard the intact opening movements of Mozart's piano sonatas, K. 280 and 332, as well as hybrids mixing sections from these two movements while maintaining overall form and tonal structure. Participants rated originals and hybrids on aesthetically relevant scales (e.g., liking, coherence, interest), after a single hearing and following extended exposure. Results show no significant preference for originals, even after repeated hearings. Music training tended to enhance preference for hybrid over original. Thus, inner form and its supposed organic unity, presumed tenets of musical genius, may not affect listeners' evaluation. [ABSTRACT FROM AUTHOR]

Western musicians traditionally classify pitch sequences by disregarding the effects of five musical transformations: octave shift, permutation, transposition, inversion, and cardinality change. We model this process mathematically, showing that it produces 32 equivalence relations on chords, 243 equivalence relations on chord sequences, and 32 families of geometrical quotient spaces, in which both chords and chord sequences are represented. This model reveals connections between music-theoretical concepts, yields new analytical tools, unifies existing geometrical representations, and suggests a way to understand similarity between chord types. [ABSTRACT FROM AUTHOR]