Tonal pitch space [[electronic resource] /] / Fred Lerdahl

• Record Nr.: UNINA9910792229003321
• Autore: Lerdahl Fred <1943->
• Pubbl/distr/stampa: Oxford, : Oxford University Press, c2001
• ISBN: 9786610845132; 1-280-84513-9; 0-19-534637-8
• Descrizione fisica: 1 online resource (430 p.)
• Disciplina: 781.2/3
• Soggetti: Music theory; Musical analysis; Musical pitch; Tonality
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 393-404) and index.
• Nota di contenuto: Contents; 1 THEORETICAL FOUNDATIONS; Overview of GTTM; Goals; Idealizations; The rule system; A representative analysis; Rhythmic structure; Time-span reduction; Principles of prolongational reduction; Constructing a prolongational analysis; Observations and comparisons; Issues in prolongational theory; Prolongational good form; On strict branching; Toward an enrichment of the grouping component; Abstractions and transformations of surface events; 2 DIATONIC SPACE; The concept of pitch space; Tonal and event hierarchies; Previous approaches; The basic space; The pitch-class level; Pitch-class and pitch proximity Reflections on steps; Linear completion; The chordal level; Chord proximity within a region; Chordal space and harmonic progression; The regional level; Chord proximity across regions; Regional space; Remarks on Schoenberg space; Combined geometrical representations; The principle of the shortest path; Empirical issues; Issues of quantification; Evidence and explanation; 3 PATHS IN PITCH SPACE; Prolongational paths; The concept of pitch-space paths; Paths in regional space; Paths in chordal/regional space; Paths in scale-degree space; Pc/chordal paths; Regional prolongations Parallel mixture; Collapsing regional space; Two ; applications; Narrative paths; Parsifal's journey to redemption; Compositional use of the Weber space; A note on semantic paths; 4 TONAL TENSION AND ATTRACTION; The harmonic tension model; Tension and pitch space; Sequential and hierarchical tension; A hierarchical tension analysis; Reformulation of the interaction principle; Melodic tension; Anchoring and asymmetry; The melodic attraction rule; Historical precedents; Attractional asymmetries; Attractions and expectations; An attractional approach to harmony; Voice-leading attractionsAttractional context; Two attractional analyses; Tension, attraction, and expression; The relationship between tension and attraction; Connections with other theories; 5 PROLONGATIONAL FUNCTIONS; Finding the tonic; General principles; Three tonic-finding analyses; Function as prolongational position; On Riemannian functionality; The function rule; Some functional analyses; Issues concerning functionality; Functions and schemas; The sentence; Galant gambits; Schematic tension; 6 CHROMATIC TONAL SPACES; Pitch space in evolution; Constructing chromatic spaces; Triadic/octatonic space Triadic/hexatonic space; On the generality of the chord distance rule; Nontriadic octatonic spaces; Whole-tone and mystic spaces; Related issues; Constraints on basic spaces; Tonal attractions in chromatic spaces; Finding the preferred space; Measuring interspatial distances; A metrical analogy; Formal parallelisms; Metrical attractions; Interaction of tonal and metrical attractions; 7 PROLONGATIONS IN CHROMATIC SPACES; Analyses of triadic chromatic tonal music; Some passages in Wagner; A Debussy analysis; A note on neoclassic Stravinsky; Psychoacoustic factors in prolongational analysis
• Sommario/riassunto: 'Tonal Pitch Space' presents a model of diatonic space that quantifies intuitions of the relative distances of pitches chords and keys.