Quantifying music: the science of music at the first stage of scientific revolution, 1580 - 1650
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Reidel
1984
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| Series: | University of Western Ontario <London, Ontario>: The University of Western Ontario series in philosophy of science
23 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 308 S. Ill. |
| ISBN: | 9027716374 |
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MARC
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Record in the Search Index
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| adam_text | Titel: Quantifying music
Autor: Cohen, Hendrik Floris
Jahr: 1984
TABLE OF CONTENTS
PREFACE xi
ACKNOWLEDGEMENTS XVÜ
CHAPTER 1 / DEFINING THE PROBLEM SITUATION 1
1.1. The Problem of Consonance 1
1.1.1. Zarlino s Redefinition of the Problem 3
1.1.2. Objections to the Senario 6
1.2. The Natureof the Scientific Revolution 7
1.2.1. The Science of Music Around 1600 10
1.3. OutlineofChapters2through7 11
CHAPTER 2 / THE MATHEMATICAL APPROACH 13
2.1. Johannes Kepler 13
2.1.1. The Empirical Foundation 15
2.1.2. Distinguishing Consonance from Dissonance 16
2.1.3. The Genesis ofHarmony 23
2.1.4. Passing byAcoustics 29
2.1.5. Conclusions 32
2.2. The Division of the Octave 34
2.2.1. The Incompatibility of the Pure Consonances 37
2.2.2. Summary 43
2.3. Simon Stevin 45
2.3.1. On the Theoryof Music 48
2.3.2. Preliminary Definitions 48
2.3.3. The Octave Comprises 6 Equal Tones 51
2.3.4. The Octave Comprises 12 Equal Semitones 53
2.3.5. Sustaining Arguments 57
2.3.6. A Musician s Critique 61
2.3.7. Contemporary Music 63
2.3.8. Conclusions 67
CHAPTER 3 / THE EXPERIMENTAL APPROACH 75
3.1. Giovanni Battista Benedetti 75
3.2. Vincenzo Galilei 78
vn
Viii TABLE OF CONTENTS
3.2.1. The Singer s Dilemma 79
3.2.2. Smashing the Senario 82
3.2.3. Summary and Conclusions 83
3.3. Galileo Galilei 85
3.3.1. Pendulums and Resonance 87
3.3.2. The Coincidence Theory of Consonance 90
3.3.3. Conclusions 92
3.4. The Nature of the Coincidence Theory 94
3.5. Marin Mersenne 97
3.5.1. The Abstract of Musical Theory 100
3.5.2. Some Properties of Sound 101
3.5.3. The Coincidence Theory Put to the Test 103
3.5.4. The Division of the Octave 111
3.5.5. Quantifying All Possible Music 112
3.5.6. Conclusions 114
CHAPTER 4 / THE MECHANISTIC APPROACH 115
4.1. Isaac Beeckman 116
4.1.1. The Corpuscular Theory of Sound 120
4.1.2. The Nature of Consonance 127
4.1.3. Musical Instruments 147
4.1.4. Intermezzo: Consolations for the Physicist 149
4.1.5. The Division of the Octave 151
4.1.6. Conclusions 157
4.2. Rene Descartes 161
4.2.1. The Compendium of Music 161
4.2.2. The Scientific Analysis of Musical Beauty 166
4.2.3. The Perception of Consonance 172
4.2.4. Conclusions 175
CHAPTER 5 / CONTACTS AND CRITICISMS 180
5.1. The Renaissance Theorists 181
5.2. The Early Physicists 182
5.2.1. Benedetti 183
5.2.2. Vincenzo Galilei 183
5.3. The Mathematicians 184
5.3.1. Stevin 184
5.3.2. Kepler 185
5.4. The Mersenne Circle 187
TABLE OF CONTENTS ix
5.4.1. Prologue: Beeckman Meets Young Descartes 188
5.4.2. Beeckman, Descartes, and Mersenne 190
5.5. Galileo Galilei 201
5.6. Conclusion 202
CHAPTER 6 / AN EXAMPLE FROM THE SECOND GENERATION 205
6.1. The Prevalence of the Coincidence Theory 206
6.2. Christiaan Huygens 209
6.2.1. The Theory of Consonance 210
6.2.2. The Division of the Octave 214
6.2.3. The Consonance of the Intervals with 7 225
6.2.4. Conclusion 228
CHAPTER 7 / CONCLUSIONS 231
7.1. 2500 Years since Pythagoras 231
7.1.1. What Had Been Accomplished and What Not 231
7.1.2. What Was To Be Accomplished 234
7.2. Music as a Science: Implications and Perspectives 243
7.2.1. The Scientific Revolution 243
7.2.2. Music as an Art and Music as a Science 250
7.2.3. The Victory of the Coincidence Theory: An Example of
Theory Replacement 254
7.2.4. Quest Without End 258
NOTES 260
BIBLIOGRAPHY 296
NAME INDEX 303
SUBJECT INDEX 305
|
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| indexdate | 2024-07-09T15:10:23Z |
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| isbn | 9027716374 |
| language | English |
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| series | University of Western Ontario <London, Ontario>: The University of Western Ontario series in philosophy of science |
| series2 | University of Western Ontario <London, Ontario>: The University of Western Ontario series in philosophy of science |
| spelling | Cohen, Hendrik Floris 1946- Verfasser (DE-588)136617492 aut Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 H. F. Cohen Dordrecht u.a. Reidel 1984 XVII, 308 S. Ill. txt rdacontent n rdamedia nc rdacarrier University of Western Ontario <London, Ontario>: The University of Western Ontario series in philosophy of science 23 Geschichte 1580-1650 gnd rswk-swf Musikwissenschaft (DE-588)4130526-7 gnd rswk-swf Musikwissenschaft (DE-588)4130526-7 s Geschichte 1580-1650 z DE-604 University of Western Ontario <London, Ontario>: The University of Western Ontario series in philosophy of science 23 (DE-604)BV000005574 23 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000122043&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cohen, Hendrik Floris 1946- Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 University of Western Ontario <London, Ontario>: The University of Western Ontario series in philosophy of science Musikwissenschaft (DE-588)4130526-7 gnd |
| subject_GND | (DE-588)4130526-7 |
| title | Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 |
| title_auth | Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 |
| title_exact_search | Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 |
| title_full | Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 H. F. Cohen |
| title_fullStr | Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 H. F. Cohen |
| title_full_unstemmed | Quantifying music the science of music at the first stage of scientific revolution, 1580 - 1650 H. F. Cohen |
| title_short | Quantifying music |
| title_sort | quantifying music the science of music at the first stage of scientific revolution 1580 1650 |
| title_sub | the science of music at the first stage of scientific revolution, 1580 - 1650 |
| topic | Musikwissenschaft (DE-588)4130526-7 gnd |
| topic_facet | Musikwissenschaft |
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