Formalised composition, on the spectral and fractal trails:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Göteborg
Göteborg Univ., School of Music and Musicology, Dep. of Musicology
1998
|
| Schriftenreihe: | Musikvetenskapliga Institutionen <Göteborg>: Skrifter från Musikvetenskapliga Institutionen, Göteborg
52 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Göteborg, Univ., Diss., 1998 |
| Beschreibung: | V, 243 S. graph. Darst. |
| ISBN: | 9185974447 |
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Datensatz im Suchindex
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|---|---|
| adam_text | Titel: Formalised composition on the spectral and fractal trails
Autor: Eldénius, Magnus
Jahr: 1998
Contents
Contents
Préface
1 Introduction
1.1 Purpose and Objective 1
1.2 Phases in the Composition of Music 2
1.3 The term Formalisée Composition 3
1.4 Structures, Rules and Regularity 5
1.5 On Evaluation Criteria and Musical Expérience 6
1.6 Creative Ideas, Programming and Réalisation 8
1.7 The Computer as a Tool 10
1.8 Programme Development 11
1.9 Programming 13
II The Spectral Trail
2 Introduction to the Spectral Trail
2.1 The Spectral Trail 15
2.2 About Techniques and Methods Used in the Spectral Projects 15
2.3 Overview of Techniques and Methods Used in the Spectral Projects 18
2.4 Human Curiosity about Sounds 19
2.5 Formalized Tonal Systems on Acoustic Foundations 20
2.6 The Historical Dominance of Parameters That Can Be Classified and
Measured 23
2.7 Timbre and Spectral Harmony 25
2.8. A Newly Awakened Interest in Intonation 26
2.9 Harmony and Microintonation 27
2.10 The French Spectral School 28
2.11 Harmonicity 28
2.12 The Exploitation of Eigenfrequency 29
2.13 About the Development of the Software 29
2.14 The Most Significant Frequency Components and Harmonies 31
2.15 Some Principles Used in Calculations of Components and Harmonies 32
3 The Âpproach to the Pièce Norwegian Fragments
3.1 The General Idea 35
3.2 About the Hardanger Fiddle 35
3.3 Mélodie Lines in the Overtones 36
3.4 The Réalisation of the Pièce 40
Contents
3.5 Additive Synthesis of the Sound of the Hardanger Fiddle 41
3.6 Mélodie Lines from the Sound of a Hardanger Fiddle 42
3.7 Manipulation of Information in the Frequency Domain 43
3.8 Increasing the Harmonicity by Statistical Calculations 47
3.9 Increasing the Harmonicity by Scaling 49
3.10 Increasing the Harmonicity through Multiplication
by a Periodic Function 51
3.11 Increasing the Harmonicity in the Sound of the Hardanger Fiddle 53
3.12 About the Acoustic Accuracy of the Transform from Sound
to Pitch Used in This Context 54
3.13 AngelKeening 57
4 From Timbre to Musical Score
4.1 A Complex Pitch Map from a Simple Sound 59
4.2 What is the Significance of Resolution? 61
4.3 The Almost Chaotic Sound of a Cymbal 61
4.4 Mapping the Time Evolution of a Sound to a Musical Form 62
4.5 About Mélodie Lines and Voicing 63
4.6 Quantification and Sample and Hold as General Concepts 63
4.7 Calculations and Aesthetic Considérations 64
4.8 Microtonality and Realization 67
4.9 Sound Synthesis from a Score Used as Feedback 67
5 From Fractal Landscapes to Musical Material
5.1 From Artificial Frequency Domain to Music Score 69
6 Convolution
6.1 A Practical Formula for General Morphing or Convolution
in the Frequency Domain 71
III The Fractal Trail
7 About Order and Causality
7.1 Introduction 72
7.2 Overview of The Fractal Trail 73
7.3 Schematic Overview of The Fractal Trail 78
7.4 Overall or Causal Orders in Music 79
7.5 Fractals are Created from Order 80
7.6 Time and Order 81
7.7 Catégorisation 82
Contents
7.8 Order of Orders 83
7.9 An Example: Chance, Scattered with Order 84
7.10 Corrélations between Order in Space and Order in Music 86
8 Solvind
8.1 Solvind , a Natural Phenomenon 90
8.2 From a Space Map to Musical Structure 90
8.3 An Expérimental Idea Applied to the Structure of the Northen Lights 93
9 An Approach to Chaotic Structures in Music
9.1 Graphical Mappings as an Aid in the Search for Higher Musical Orders95
9.2 Some Examples of Graphical Figures Mapping Musical Notation 95
9.3 Surfaces Created by Modified Algorithms for Fractional Brownian Motion
101
9.4 An Example of Mapping to a Score 102
10 Fractals
10.1 Fractals Feature Just the Opposite of Smoothness 105
10.2 Mathematical Séries and Chaotic Evolution in Music 105
10.3 Chaos as Systems of Order 107
11 Gaussian Point
11.1 Mélodie Figures and Lines as Functions of One Variable 108
11.2 About Nonlinear Functions and Musical Composition 108
11.3 Random Walk or 1/f Noise 109
11.4 About The 1/f Noise Called Music 110
11.5 A Spectral Analysis of Functions or Structures with 1/f Character 111
11.6 Gaussian distribution 111
11.7 Brownian Motion 113
11.8 Fractional Brownian Motion 114
11.9 Self-similarity and Self-affinity 116
11.10 Définition of a Fractal by Examination of Fractal Dimension 116
11.11 Réalisation of Musical Material by Random Midpoint Displacement 117
11.12 From a Mathematical Function to a Mélodie Line 119
12 Fractionai Brownian Landscapes
12.1 Fractional Brownian motion, fBm, reaîised by EFT 123
12.2 Spectral Densities for fBm and the Spectral Exponent P 123
Ï2.3 Réalisations of fBm with a Musical Approach 125
in
Contents
13 Urban Rituals and the Strange Attractor
13.1 Strange Attractors 131
13.2 Deterministic Fractals or Attractors 131
13.3 Fractal Dimension of an Attractor 131
13.4 Itérative Structures Created by a Simple Formula 133
13.5 A More General Theory of Julia Sets 135
13.6 Julia Sets in the Project Urban Rituals and the Strange Attractor 135
13.7 Towards the Mandelbrot Set 139
14 From Melody to Score through a Phase Space
14.1 Phase Space 140
14.2 About Melody and Energy 141
14.3 Entropy, Phase Space 141
14.4 Stepwise Functions Mapped as Smooth Curves 142
14.5 Phase Spaces of a Mélodie Line Filtered in the Frequency Domain 147
14.6 A Processed Mélodie Line Mapped to Phase Space 150
14.7 About Chaotic Attractors and Resolution Demands in Computer
Calculations 150
14.8 Poincaré Cuts 151
14.9 Musical Material for the Composition Incantatio 153
15 Metrk Chaos, Everything Passes Through the Parts of the Body
15.1 Patterns in the Sound of Poetry 156
15.2 Fricatives, Formants and Fundamentals as Metric Patterns in the
Frequency Domain 157
15.3 Superposition of Proportions in Time 160
15.4 Sound Source 161
16 Reflections
16.1 Play, it appears, is of the very essence of thought 164
16.2 Coda 166
Appendix
A 1 Composition Project 167
A 2 The Speetral Traii 169
A 3 The Fractal Traii 170
A 4 Spectral Ànalysis
A 4.1 Spectral Analysis in General 171
A 4.2 The Time Domain and the Frequency Domain 171
IV
Contents
A 4.3 Spectrogram and Sonogram 174
A 4.4 Fourier Analysis 176
A 4.5 The Inverse Fourier Transform 177
A 4.6 The Représentation of Fourier Components by Complex Numbers 178
A 4.7 The Spectral Continuum 179
A 4.8 Discrète and Fast Fourier Transforms 179
A 4.9 The Time Window and the Fourier Window 179
A 4.10 The Spectral Continuum and Digital Fourier Transforms (DFT) 180
A4.ll Windowing 182
A 4.12 FFT and Window Size 183
A4.13ZeroPadding 185
A 4.14 Sample Rate as a Parameter to Decrease Redundant Information 186
A 4.15 The Représentation in Frequency Domain
of Différent Evente in Time 186
A 4.16 The Frequency Domain as a Creative Area 188
A 4.17 Synthesis by IFT and a Spécial Investigation
of Discrète Information Packages 190
A 4.18 Resynthesis by Inverse FT (IFT) 196
A 5 Gaussian Distribution
A5.1Probabillity 198
A 5.2 Gaussian Distribution 200
A 6 The First 32 Partials of the Harmonie Séries 201
A 7 Psychoacoustics
A 7.1 Psychoaeoustics 202
A7.2TheMechanismofHearing 202
A 7.3 Beats 204
A 7.4 Limit of Discrimination and Critieal Band 204
A 7.5 Just Noticeable Différence 205
Notes 207
Literature 236
Index 242
|
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| spelling | Eldénius, Magnus Verfasser aut Formalised composition, on the spectral and fractal trails Magnus Eldénius Göteborg Göteborg Univ., School of Music and Musicology, Dep. of Musicology 1998 V, 243 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Musikvetenskapliga Institutionen <Göteborg>: Skrifter från Musikvetenskapliga Institutionen, Göteborg 52 Zugl.: Göteborg, Univ., Diss., 1998 Compositie gtt Computers gtt Klanken gtt Computer composition Computer sound processing Fractals Spectrum analysis Komposition Musik (DE-588)4133320-2 gnd rswk-swf Computer (DE-588)4070083-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Computer (DE-588)4070083-5 s Komposition Musik (DE-588)4133320-2 s DE-604 Musikvetenskapliga Institutionen <Göteborg>: Skrifter från Musikvetenskapliga Institutionen, Göteborg 52 (DE-604)BV000000859 52 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008000578&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eldénius, Magnus Formalised composition, on the spectral and fractal trails Musikvetenskapliga Institutionen <Göteborg>: Skrifter från Musikvetenskapliga Institutionen, Göteborg Compositie gtt Computers gtt Klanken gtt Computer composition Computer sound processing Fractals Spectrum analysis Komposition Musik (DE-588)4133320-2 gnd Computer (DE-588)4070083-5 gnd |
| subject_GND | (DE-588)4133320-2 (DE-588)4070083-5 (DE-588)4113937-9 |
| title | Formalised composition, on the spectral and fractal trails |
| title_auth | Formalised composition, on the spectral and fractal trails |
| title_exact_search | Formalised composition, on the spectral and fractal trails |
| title_full | Formalised composition, on the spectral and fractal trails Magnus Eldénius |
| title_fullStr | Formalised composition, on the spectral and fractal trails Magnus Eldénius |
| title_full_unstemmed | Formalised composition, on the spectral and fractal trails Magnus Eldénius |
| title_short | Formalised composition, on the spectral and fractal trails |
| title_sort | formalised composition on the spectral and fractal trails |
| topic | Compositie gtt Computers gtt Klanken gtt Computer composition Computer sound processing Fractals Spectrum analysis Komposition Musik (DE-588)4133320-2 gnd Computer (DE-588)4070083-5 gnd |
| topic_facet | Compositie Computers Klanken Computer composition Computer sound processing Fractals Spectrum analysis Komposition Musik Computer Hochschulschrift |
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