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Intro -- Preface to the Second Edition -- Preface -- Volume I Contents -- Book Set Contents -- Leitfaden -- Leitfaden I & II -- Leitfaden III -- Tom_CD -- Part I Introduction and Orientation -- 1 What Is Music About? -- 1.1 Fundamental Activities -- 1.2 Fundamental Scientific Domains -- 2 Topography -- 2.1 Layers of Reality -- 2.1.1 Physical Reality -- 2.1.2 Mental Reality -- 2.1.3 Psychological Reality -- 2.2 Molino''s Communication Stream -- 2.2.1 Creator and Poietic Level -- 2.2.2 Work and Neutral Level -- 2.2.3 Listener and Esthesic Level -- 2.3 Semiosis -- 2.3.1 Expressions -- 2.2.3.1 The Problem of Identity -- 2.3.2 Content -- 2.3.3 The Process of Signification -- 2.3.4 A Short Overview of Music Semiotics -- 2.4 The Cube of Local Topography -- 2.5 Topographical Navigation -- 3 Musical Ontology -- 3.1 Where Is Music? -- 3.2 Depth and Complexity -- 4 Models and Experiments in Musicology -- 4.1 Interior and Exterior Nature -- 4.2 What Is a Musicological Experiment? -- 4.3 Questions-Experiments of the Mind -- 4.4 New Scientific Paradigms and Collaboratories -- Part II Navigation on Concept Spaces -- 5 Navigation -- 5.1 Music in the EncycloSpace -- 5.2 Receptive Navigation -- 5.3 Productive Navigation -- 6 Denotators -- 6.1 Universal Concept Formats -- 6.1.1 First Naive Approach to Denotators -- 6.1.2 Interpretations and Comments -- 6.1.3 Ordering Denotators and `Concept Lea ng'' -- 6.2 Forms -- 6.2.1 Variable Addresses -- 6.2.2 Formal Definition -- 6.2.3 Discussion of the Form Typology -- 6.3 Denotators -- 6.3.1 Formal Definition of a Denotator -- 6.4 Anchoring Forms in Modules -- 6.4.1 First Examples and Comments on Modules in Music -- 6.5 Regular and Circular Forms -- 6.6 Regular Denotators -- 6.7 Circular Denotators -- 6.8 Ordering on Forms and Denotators -- 6.8.1 Concretizations and Applications -- 6.9 Concept Surgery and Denotator Semantics -- Part III Local Theory -- 7 Local Compositions -- 7.1 The Objects of Local Theory -- 7.2 First Local Music Objects -- 7.2.1 Chords and Scales -- 7.2.1.1 Chords -- 7.2.1.2 Scales -- 7.2.1.3 w-Tempered Scales -- 7.2.1.4 Just Scales -- 7.2.2 Local Meters and Local Rhythms -- 7.2.3 Motives -- 7.3 Functorial Local Compositions -- 7.4 First Elements of Local Theory -- 7.5 Alterations Are Tangents -- 7.5.1 The Theorem of Mason-Mazzola -- 8 Symmetries and Morphisms -- 8.1 Symmetries in Music -- 8.1.1 Elementary Examples -- 8.2 Morphisms of Local Compositions -- 8.3 Categories of Local Compositions -- 8.3.1 Commenting on the Concatenation Principle -- 8.3.2 Embedding and Addressed Adjointness -- 8.3.3 Universal Constructions on Local Compositions -- 8.3.4 The Address Question -- 8.3.5 Categories of Commutative Local Compositions -- 9 Yoneda Perspectives -- 9.1 Morphisms Are Points -- 9.2 Yoneda''s Fundamental Lemma -- 9.3 The Yoneda Philosophy -- 9.4 Understanding Fine and Other Arts -- 9.4.1 Painting and Music -- 9.4.2 The Art of Object-Oriented Programming -- 10 Paradigmatic Classification -- 10.1 Paradigmata .