...Philip Stoecker In this article I investigate aligned cycles. First identified by Alban Berg in a letter to Arnold Schoenberg and later discussed by George Perle and David Headlam, an aligned cycle is when two (or more) interval cycles unfold in the same direction in a note-against-note alignment...

.... Christopher Hatch and David W. Bernstein. Chicago: University of Chicago Press. Buchler, Michael. 1997 . “ Relative Saturation of Subsets and Interval Cycles as a Means for Determining Set-Class Similarity .” Ph.D. diss., University of Rochester. Carey, Norman, and David Clampitt. 1989 . “Aspects...

... principle produces an ordering of pitch classes that lies behind small formal units, cycles order the presentation of twelve-tone rows and give structure to large formal spans. The present study explores four cyclic organizational principles in works from the String Quartet, op. 28 (1938), to the Second...

... cycles. Strictly tiered polyphony figures prominently in Brahms's piano music, where it lends passages an aura of extreme drive and inexorability. Importantly, awareness of this texture can provide insights into Brahms's works unavailable through conventional approaches. The analytical portion...

... ideas of key. Starting with Edward Gollin's recent generalization of Moritz Hauptmann's key representations as “multiaggregate cycles”—which he also uncovers on the surface of and in the relations between harmonies in Bartók's music—the article briefly reconsiders Hauptmann's theories and depictions...

..., harmonic functions, or pitch centricity. The Dasian space is a closed, nonoctave repeating scalar cycle, where each element is identified by a unique coordination of pitch class and modal quality. The dual description of each element enables both the specification of location in a given cycle...

... for the analysis of this repertoire. To this end, an alternative to standard theories of genre is advanced, one that draws on actor-network theory to destabilize categories too often conceived as fixed, solid, and binding. This revised theory of genre is applied to Gérard Grisey’s six-part cycle, Les espaces...

... of the 5-6 cycle are separately considered. The 5-phase trajectories are classified as diatonic, idiosyncratic, or obstinate. Despite its long history and current dominance, the mode of analysis based on Roman numerals and tonicizations is eschewed for sequential progressions. Instead, the connective role...

..., as well as a cyclic harmonic plan that reflects the yearly cycle and the notion of spiritual transformation. © 2008 by Yale University 2008 William Renwick is professor of music theory at McMaster University. He is currently working on an online edition of the Music of the Sarum Office...

... Fanny Mendelssohn Hensel's setting of Bach's “Das alte Jahr” in the concluding “Nachspiel” of her piano song cycle, Das Jahr , as suggesting interactions of public and private sonic worlds. I follow potential tonal-harmonic alternatives (after Schoenberg and Berg on the chorale) and implications...

... and audience in an era that demands an unprecedented trust in the musical object. It thus engages its audience in its own critical project, in an open dialogue with traditional forms and functions. Both works suggest that modernist music can escape the cycle of justification between the musical object and its...

... analytical tool is the rhythmic spectrum, which omits phase information, but the use of plots that include phase information is also demonstrated in a few instances. The method shows a consistency in Reich's rhythmic language despite experimentations with irregular cycles, which begins with the formulation...

...Justin Hoffman Recent music-theoretical research has proposed two ways of mapping the pitch-class set universe. Fourier spaces, constructed by Quinn, relate sets to one another based upon their composition from members of interval cycles, reflecting what might be called “harmonic quality.” Voice...

... Even Sets.” Journal of Mathematics and Music 1/3 : 1 -14. Buchler, Michael. 1997 . “Relative Saturation of Subsets and Interval Cycles as a Means for Determining Set-Class Similarity.” Ph.D. diss., University of Rochester. ____. 2000 . “Broken and Unbroken Interval Cycles and Their Use...

.... ———. 1986 . “Interval Cycles in Stravinsky's Early Ballets.” Journal of the American Musicological Society 39 : 578 –614. Forte, Allen. 1995 . The American Popular Ballad of the Golden Era, 1924–1950 . Princeton, NJ: Princeton University Press. Gridley, Mark. 1994 . Jazz Styles: History...

... for 323 meaning may end there. If the match is only approximate, however, this may initiate a second step in the cognitive cycle, called checking,in which we compare patterns and note their similarities and differences. Checking may then give rise to higher levels of meaning, as we initiate a search...

... 45 the way to creating common-tone-preserving contextual-inversion spaces for trichords, I provide a systematic account of RI-chains for all series of three different notes and relate these to the compound cycles of intervals they entail.6 RI-chains also generate the spaces...

... this information more directly, and with a greater appreciation of the inherent boundaries of pitch-class space, through an examination of the properties of interval cycles. The re- lationship between the following systematic discussion of interval cycles in pc space and minimal and maximal...

... Approach ”. Studia Musicologica Academiae Scientiarium Hungaricae 43 / 3–4 : 323 – 32 . Cohn Richard . 1996 . “ Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions .” Music Analysis 15 / 1 : 9 – 40 . Cohn Richard . 1997 . “ Neo...