Tonal Pitch Space.
Fred. Lerdahl
Bok Engelsk 2004 · Electronic books.
| Omfang | 1 online resource (430 pages)
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| Opplysninger | Intro -- 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 attractions -- Attractional 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 -- Motivating the factors -- Three perceptual preference rules -- Analyses of nontriadic chromatic tonal music -- A Scriabin analysis -- Leading-tone formations in Bartok and Stravinsky -- 8 ATONAL STRUCTURES -- Preliminaries to prolongations in flat space -- Remnants of the chord distance rule -- Atonal functions -- Derivational principles -- Atonal prolongations and functions -- Three Schoenberg analyses -- A Webern analysis -- Prolongations and tone rows -- Prospects -- Rule Index -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G.. - H -- I -- J -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W -- X -- Y -- Z.
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 9780195346374
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