This thesis introduces a web of concepts to analyse Brahmsian metre and move toward a more nuanced understanding of metrical expression and narrative in his music. Recent analytical studies of metre in common-practice Western classical music have utilised a powerful analogy of consonance and dissonance between tonal and metrical dimensions. More theoretical studies, particularly of Brahms's music, have investigated how metrical states can be systematised, both abstractly and by Brahms, to create a sense of tonicity. This thesis synthesises and extends these approaches. Metrical dissonance is suggested to offer only an insufficient purchase on Brahms's metrical style, and the concept of accentual counterpoint is suggested as an alternative that gives fuller power to the explication of Brahms's metrical complexity, but without reducing that complexity. The complexity of metrical states that Brahms employs, in turn, is explored. Brahms's path to the composition of extraordinary metrical complexity in his Op. 78 violin sonata shows both his increasing systematisation of metrical states and his increasing ability to separate and manipulate metrical accent-types, the latter supporting the concept of accentual counterpoint. That metre has expressive power invites the concept of metrical narrative. An attempt is made to unite a recent theory of musical narrative with metrical analysis, inviting readings of different narrative archetypes within Brahms's metrical trajectories, with a focus on non-romantic narratives as a complement to traditional readings of unity. The pitch-metre analogy, and particularly the typicality of tonicity in metrical organisation, is problematised by those works by Brahms that begin and end in different notated metres. These instances, apparent manifestations of directional metre, are analysed, principally using the theories of hypermetre, metrical dissonance, metrical states and accentual counterpoint, with the hypothetical concepts of organisation (directional metre, metrical narrative and metrical tonicity) as interactive heuristics. Moving from organisation back to expression, the thesis closes by exploring a problem within current theories of form and phrase structure: the difference between musical expansion and extension. It highlights a metrical manifestation of this created as an effect of accentual counterpoint, dubbed metrical expansiveness, and examines the interaction of this effect with form and narrative.

The New Grove Dictionary of Jazz defines “double time” as “the apparent doubling of the tempo […] achieved by halving the prevailing note value.” A more precise term for this concept is “double-time feel.” The question of how a musical performance creates double-time feel has received little scholarly attention. Grove’s explanation is incomplete because “halving the prevailing note value” is sometimes perceived by listeners as diminution within an unchanged tempo. My hypothesis is that swing rhythm, pervasive in many styles of jazz, not only facilitates the use of double-time feel but allows for subtle gradations in its use. I offer a model that classifies rhythms according to how strongly they support (or undermine) a double-time feel in a swing rhythm context, and I apply the model to performances by Louis Armstrong and Lee Morgan. My analysis demonstrates these artists’ fine-grained control over double-time feel and suggests directions for future research.

For pieces that do not lend themselves to an analysis of form based completely on tonal harmony and thematic material, an analysis based on rhythm and meter can enrich the reading of a piece and prove to be a more successful endeavor for the analyst. This thesis will provide such a form analysis of Mother Earth: A Fanfare (2003) and Symphony No. 8 (2008) by David Maslanka, paying special attention to the rhythmic and metrical events in addition to shifts in theme, texture, and harmony. Chapter 1, “Introduction,” addresses information about the composer, the need for research, and challenges that the music poses to the analyst. Chapter 2, “Methodology,” outlines analytical techniques used in the study, which are largely based on a method of metrical dissonance categorization designed by Harald Krebs. Chapters 3 and 4, “Mother Earth: A Fanfare (2003)” and “Symphony No. 8 (2008),” provide a form analysis of the two pieces, focusing on the behavior of meter and rhythm in each work. Chapter 5 offers conclusions that draw together the two analyses and suggest avenues for further research.

The progressive metal style "djent" emerged in the mid-to-late 2000s with bands that modeled their use of extended range instruments and complex rhythmic cycles after that of Swedish metal band Meshuggah. The addition of a new vocabulary of melody and harmony by bands such as Periphery, Tesseract, and Animals as Leaders has come to define djent in a new way and provided fruitful ground for voice-leading and metrical analysis. In this dissertation, I approach analysis in two steps. The first step is the production of detailed transcriptions of four djent songs. The process of transcription has allowed for the development of Transcription Preference Rules, modeled after Lerdahl and Jackendoff's preference rule approach in their Generative Theory of Tonal Music. The Transcription Preference Rules account for the selection of key signatures, time signatures, and other features of the scores that may affect analysis. Second, using these scores, I examine the connection between the textual topic of change and the voice-leading and metrical structures in Periphery's "Insomnia" and Tesseract's "Of Matter." I show how this topic is reflected by techniques such as change melodic direction, multidimensional metrical dissonance, and auxiliary cadential events. Finally, I apply voice-leading and metrical analysis to Animals as Leaders's "Tempting Time" and Mute the Saint's "Sound of Scars" in order to show what these analytical techniques reveal about instrumental djent pieces. I show how shifts in meter in "Tempting Time" can be represented cyclically. I conclude by showing how the interaction of metal and North Indian Classical techniques produces a unique representation of Mute the Saint's topic of longing and frustration in "Sound of Scars."

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