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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 327 $aPitch-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 327 $aRegional 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 327 $aVoice-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 327 $aTriadic/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 327 $aPsychoacoustic factors in prolongational analysis 330 8 $a'Tonal Pitch Space' presents a model of diatonic space that quantifies intuitions of the relative distances of pitches chords and keys. 606 $aMusic theory 606 $aMusical analysis 606 $aMusical pitch 606 $aTonality 615 0$aMusic theory. 615 0$aMusical analysis. 615 0$aMusical pitch. 615 0$aTonality. 676 $a781.2/3 700 $aLerdahl$b Fred$f1943-$01860182 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910974289103321 996 $aTonal pitch space$94464767 997 $aUNINA