Tonal pitch space / Fred Lerdahl.

Format:

Book

Author/Creator:

Lerdahl, Fred, 1943-

Language:

English

Subjects (All):

Music theory.

Musical analysis.

Musical pitch.

Tonality.

Physical Description:

1 online resource (430 p.)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, c2001.

Language Note:

English

Summary:

'Tonal Pitch Space' presents a model of diatonic space that quantifies intuitions of the relative distances of pitches chords and keys.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 393-404) and index.

Description based on metadata supplied by the publisher and other sources.

Description based on publisher supplied metadata and other sources.

ISBN:

9786610845132

1-280-84513-9

0-19-534637-8

OCLC:

319064136