The Topos of Music: Geometric Logic of Concepts, Theory, and PerformanceBirkhäuser, 6 дек. 2012 г. - Всего страниц: 1344 With contributions by numerous experts |
Содержание
3 | |
9 | |
27 | |
28 | |
35 | |
39 | |
Denotators | 47 |
music | 57 |
Taxonomy of Expressive Performance | 733 |
Performance Grammars | 747 |
Stemma Theory | 755 |
Operator Theory | 771 |
Architecture | 807 |
README | 825 |
contrapunctus_III | 831 |
Performance Experiments | 833 |
Local Compositions | 105 |
Symmetries and Morphisms | 135 |
Yoneda Perspectives | 175 |
Paradigmatic Classification | 191 |
Orbits | 203 |
programs | 230 |
sources | 258 |
Topological Specialization | 275 |
Global Compositions | 299 |
rubato | 319 |
Global Perspectives | 333 |
Global Classification | 349 |
Classifying Interpretations | 369 |
Esthetics and Classification | 387 |
Predicates | 397 |
Topoi of Music | 427 |
Visualization Principles | 439 |
Topologies for Rhythm and Motives | 453 |
Motif Gestalts | 465 |
Critical Preliminaries | 501 |
Harmonic Semantics | 529 |
Cadence | 551 |
Modulation | 563 |
Local and Global Performance Transformations | 663 |
nextrubato | 665 |
Performance Fields | 681 |
Initial Sets and Initial Performances | 695 |
Statistics of Analysis and Performance | 853 |
kuriose_geschichte | 858 |
Differential Operators and Regression | 871 |
Principles of Music Critique | 905 |
Critical Fibers | 911 |
Unfolding Geometry and Logic in Time | 933 |
Local and Global Strategies in Composition | 939 |
Synthesis by Guerino Mazzola | 955 |
ObjectOriented Programming in OpenMusic | 967 |
Historical and Theoretical Prerequisites | 993 |
Estimation of Resolution Parameters | 999 |
The Travelling Wave | 1041 |
Aspects of Consonance and Dissonance | 1049 |
Sets Relations Monoids Groups | 1057 |
Rings and Algebras | 1075 |
E Modules Linear and Affine Transformations | 1083 |
F Algebraic Geometry | 1107 |
G Categories Topoi and Logic | 1115 |
H Complements on General and Algebraic Topology | 1145 |
J Eulers Gradus Function | 1165 |
Two Three and Four Tone Motif Classes | 1183 |
N WellTempered and Just Modulation Steps | 1197 |
O Counterpoint Steps | 1211 |
Bibliography | 1221 |
Index | 1253 |
Другие издания - Просмотреть все
The Topos of Music: Geometric Logic of Concepts, Theory, and Performance, Том 1 Guerino Mazzola Ограниченный просмотр - 2002 |
The Topos of Music: Geometric Logic of Concepts, Theory, and Performance, Том 1 Guerino Mazzola Недоступно для просмотра - 2002 |
The Topos of Music: Geometric Logic of Concepts, Theory, and Performance Guerino Mazzola Недоступно для просмотра - 2013 |
Часто встречающиеся слова и выражения
A-addressed abstract address change affine functions algebraic ambient space analysis appendix arrows automorphism bijection canonical cardinality chapter charts chord classification colimit commutative concept construction coordinates corresponding defined definition denotators diagram discussion dodecaphonic dominance elements endomorphisms Euler example fact fiber product figure finite functor geometric germ gestalt given global compositions Grothendieck topology group action harmonic identifier integer interpretation inversion isomorphism classes lemma lexicographic ordering linear mathematical means melody metrical module complex monoid morphism motif motives musicological naive natural transformation navigation nerve notation objective local compositions onset ontology orbit paradigm paradigmatic parameters perspective pitch classes pitch space poeticity precise predicates projection recursive relation rhythms scale semantic semiosis semiotic sequence shape type simplex sound structure subfunctor Summary surjective symmetry symmetry group theorem tonality topology transformation values