Applicable on a wide scale not only to this repertory, Harrison's lucid explications of abstract theoretical concepts provide new insights into the workings of tonal systems in general.

That mid-to-late nineteenth-century chromatic tonality challenges diatonic-based prolongational models of tonality is a well-known assertion. Recently, the field has embraced alternative frameworks, especially neo-Riemannian and transformational approaches, to account for coherence in the works of composers such as Richard Wagner or Richard Strauss. These approaches, however, only occasionally capture the extent to which this repertoire exhibits the prolongational procedures operative in classical tonality despite the unfamiliarity of the chromatic syntax. My dissertation investigates how this chromatic syntax can be approached as an extension of familiar diatonic models. My broader theoretic basis involves recognizing a proliferation of harmonic polysemy, whereby chords that have commonplace sonorities do not function in ways traditionally associated with that sonority. To account for this disjunction, I develop a model of Functional Interval Progressions (FIPs), which proposes dominant function is a product not of sonority, nor an isolated leading tone, but rather a combination of a univalent dissonance (a tritone or diminished seventh) combined with its conventional resolution: in short, I suggest function is a product of motion. I apply this principle in various ways. Firstly, I postulate the possibility of chromatically altered diminished-seventh chords: these chords often have the sonority of commonplace tonal chords, such as dominant or half-diminished sevenths, but their behaviour is more consistent with diminished-seventh chords. The presence and resolution of a diminished-seventh interval, I posit, overwrites the centrifugal nature of the chromatic alteration. I then export this principle to triads, arguing that a similar half-enharmonic reinterpretation can explain what Lorenz (1933) refers to as apparent consonances. Contrary to Cohn (2004/2012), I view these triads then as tonal dissonances, rather than as acoustic consonances. Lastly, I argue for a contextual remodeling of chordal inversion, following Schenker's (1922) notion of "the roothood-tendency of the lowest tone," suggesting that in certain cases inverted chords project the function of their bass, rather than their root. I conclude by applying these principles to larger-scale analysis, proposing that through a more thorough understanding of the surface-level harmonic syntax, deeper-level prolongations- and their relationships to one another-can be adduced with greater certainty and clarity in highly chromatic music.

David Kopp's book develops a model of chromatic chord relations in nineteenth-century music by composers such as Schubert, Beethoven, Chopin, Schumann, and Brahms. The emphasis is on explaining chromatic third relations and the pivotal role they play in theory and practice. Drawing on tenets of nineteenth-century harmonic theory, contemporary transformation theory, and the author's own approach, the book presents a clear and elegant means for characterizing commonly acknowledged but loosely defined elements of chromatic harmony. The historical and theoretical argument is supplemented by many analytic examples.

(Berklee Guide). Learn jazz harmony, as taught at Berklee College of Music. This text provides a strong foundation in harmonic principles, supporting further study in jazz composition, arranging, and improvisation. It covers basic chord types and their tensions, with practical demonstrations of how they are used in characteristic jazz contexts and an accompanying recording that lets you hear how they can be applied.

Music theorists have long believed that 19th-century triadic progressions idiomatically extend the diatonic syntax of 18th-century classical tonality, and have accordingly unified the two repertories under a single mode of representation. Post-structuralist musicologists have challenged this belief, advancing the view that many romantic triadic progressions exceed the reach of classical syntax and are mobilized as the result of a transgressive, anti-syntactic impulse. In Audacious Euphony, author Richard Cohn takes both of these views to task, arguing that romantic harmony operates under syntactic principles distinct from those that underlie classical tonality, but no less susceptible to systematic definition. Charting this alternative triadic syntax, Cohn reconceives what consonant triads are, and how they relate to one another. In doing so, he shows that major and minor triads have two distinct natures: one based on their acoustic properties, and the other on their ability to voice-lead smoothly to each other in the chromatic universe. Whereas their acoustic nature underlies the diatonic tonality of the classical tradition, their voice-leading properties are optimized by the pan-triadic progressions characteristic of the 19th century. Audacious Euphony develops a set of inter-related maps that organize intuitions about triadic proximity as seen through the lens of voice-leading proximity, using various geometries related to the 19th-century Tonnetz. This model leads to cogent analyses both of particular compositions and of historical trends across the long nineteenth century. Essential reading for music theorists, Audacious Euphony is also a valuable resource for music historians, performers and composers.

An original, listener-based approach to harmony for popular music from the rock era of the 1950s to the present