Schenkerian Analysis

Fundamental Line(s)

by Nicolas Meeùs

Paper read at the Mannheim Internationales Schenker Symposion (GMTh), 11 june 2004

A Framework for Automated Schenkerian Analysis

by Phillip Kirlin

Probabilistic Modeling of Hierarchical Music Analysis

by Phillip Kirlin

Co-authored with David D. Jensen. In Proceedings of the 12th International Society for Music Information Retrieval Conference, Miami, October 2011.

Hierarchical music analysis, as exemplified by Schenkerian analysis, describes the structure of a musical composition... more Hierarchical music analysis, as exemplified by Schenkerian analysis, describes the structure of a musical composition by a hierarchy among its notes. Each analysis defines a set of prolongations, where musical objects persist in time even though others are present. We present a formal model for representing hierarchical music analysis, probabilistic in- terpretations of that model, and an efficient algorithm for computing the most probable analysis under these interpre- tations. We represent Schenkerian analyses as maximal out- erplanar graphs (MOPs). We use this representation to en- code the largest known data set of computer-processable Schenkerian analyses, and we use these data to identify sta- tistical regularities in the human-generated analyses. We show that a dynamic programming algorithm can be ap- plied to these regularities to identify the maximum likeli- hood analysis for a given piece of music.

Toward Analytic Reconciliation of Outer Form, Harmonic Prolongation and Function

by Kevin Swinden

Interpretaciones sobre Brahms: Variaciones sobre un tema de Haydn, Op. 56 a

by Erik Baqueiro-Victorin

Trabajo final del Seminario Schenker b, Maestría en Música, Universidad Veracruzana (Diciembre, 2010). Partitura de la composición disponible en www.imslp.org