04971nam 2200709Ia 450 991046579850332120200520144314.097866108451321-280-84513-90-19-534637-8(CKB)2560000000296475(EBL)3052811(OCoLC)319064136(SSID)ssj0000089884(PQKBManifestationID)11113392(PQKBTitleCode)TC0000089884(PQKBWorkID)10092779(PQKB)11598392(StDuBDS)EDZ0000073214(MiAaPQ)EBC3052811(Au-PeEL)EBL3052811(CaPaEBR)ebr10273270(CaONFJC)MIL84513(EXLCZ)99256000000029647520000413d2001 uy 0engur|||||||||||txtccrTonal pitch space[electronic resource] /Fred LerdahlOxford Oxford University Pressc20011 online resource (430 p.)Description based upon print version of record.0-19-517829-7 0-19-987037-3 Includes bibliographical references (p. 393-404) and index.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 levelPitch-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 pathsRegional 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 harmonyVoice-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 spacesTriadic/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 StravinskyPsychoacoustic factors in prolongational analysis'Tonal Pitch Space' presents a model of diatonic space that quantifies intuitions of the relative distances of pitches chords and keys.Music theoryMusical analysisMusical pitchTonalityElectronic books.Music theory.Musical analysis.Musical pitch.Tonality.781.2/3Lerdahl Fred1943-913161MiAaPQMiAaPQMiAaPQBOOK9910465798503321Tonal pitch space2045641UNINA