Tuning, timbre, spectrum, scale

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1. Verfasser: Sethares, William A. 1955- (VerfasserIn)
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Sprache:English
Veröffentlicht: London [u.a.] Springer 2005
Ausgabe:2. ed.
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Datensatz im Suchindex

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adam_text CONTENTS PRELUDE V ACKNOWLEDGMENTS IX VARIABLES, ABBREVIATIONS, DEFINITIONS XVII 1 THE OCTAVE IS DEAD . . . LONG LIVE THE OCTAVE 1 INTRODUCING A DISSONANT OCTAVE * ALMOST ANY INTERVAL CAN BE MADE CON- SONANT OR DISSONANT BY PROPER CHOICE OF TIRNBRE. 1.1 A CHALLENGE 1 1.2 A DISSONANCE METER 4 1.3 NEW PERSPECTIVES 5 1.4 OVERVIEW 8 2 THE SCIENCE OF SOUND 11 WHAT IS SOUND MADE OF? HOW DOES THE FREQUENCY OF A SOUND RELATE TO ITS PITCH? HOW DOES THE SPECTRUM OF A SOUND RELATE TO ITS TIMBRE? HOW DO WE KNOW THESE THINGS? 2.1 WHAT IS SOUND? 11 2.2 WHAT IS A SPECTRUM? 13 2.3 WHAT IS TIMBRE? 27 2.4 FREQUENCY AND PITCH 32 2.5 SUMMARY 37 2.6 FOR FURTHER INVESTIGATION 38 3 SOUND ON SOUND 39 PAIRS OF SINE WAVES INTERACT TO PRODUCE INTERFERENCE, BEATING, ROUGH- NESS, AND THE SIMPLEST SETTING IN WHICH (SENSORY) DISSONANCE OCCURS. XII CONTENTS 3.1 PAIRS OF SINE WAVES 39 3.2 INTERFERENCE 39 3.3 BEATS 40 3.4 CRITICAL BAND AND JND 43 3.5 SENSORY DISSONANCE 45 3.6 COUNTING BEATS 48 3.7 EAR VS. BRAIN 49 4 MUSICAL SCALES 5 1 MANY SCALES HAUE BEE.N USED THROUGHOUT THE CENTURIES. 4.1 WHY USE SCALES? 51 4.2 PYTHAGORAS AND THE SPIRAL OF FIFTHS 52 4.3 EQUAL TEMPERAMENTS 56 4.4 JUST INTONATIONS 60 4.5 PARTCH 64 4.6 MEANTONC AND WELL TEMPERAMENTS 65 4.7 SPECTRAL SCALES 66 4.8 REAL TUNINGS 70 4.9 GAMELAN TUNINGS 73 4.10 MY TUNING IS BETTER THAN YOURS 73 4.11 A BETTER SCALE? 74 5 CONSONANCE AND DISSONANCE OF HARMONIE SOUNDS 77 THE WORDS CONSONANCE AND DISSONANCE HAUE HAD MANY MEANINGS. THIS BOOK FOCUSES PRIMARILY ON SENSORY CONSONANCE AND DISSONANCE. 5.1 A BRIEF HISTORY 77 5.2 EXPLANATIONS OF CONSONANCE AND DISSONANCE 81 5.3 HARMONIE DISSONANCE CURVES 86 5.4 A SIMPLE EXPERIMENT 94 5.5 SUMMARY 95 5.6 FOR FURTHER INVESTIGATION 95 6 RELATED SPECTRA AND SCALES 97 THE RELATIONSHIP BETWEEN SPECTRA AND TUNINGS IS MADE PRECISE USING DISSONANCE CURVES. 6.1 DISSONANCE CURVES AND SPECTRUM 97 6.2 DRAWING DISSONANCE CURVES 99 6.3 A CONSONANT TRITONE 101 6.4 PAST EXPLORATIONS 104 6.5 FOUND SOUNDS 113 6.6 PROPERTICS OF DISSONANCE CURVES 120 CONTENTS XIII 6.7 DISSONANCE CURVCS FOR MULTIPLE SPECTRA 125 6.8 DISSONANCE SURFACES 127 6.9 SUMMARY 130 7 A BELL, A ROCK, A CRYSTAL 131 THREE CONCRETE EXAMPLES DERNONSTRATE THE USEFULNESS OF RELATED SCALES AND SPECTRA IN MUSICAL EOMPOSITION. 7.1 TINGSHAW: A SIMPLE BELL 131 7.2 CHACO CANYON ROCK 139 7.3 SOUNDS OF CRYSTALS 145 7.4 SUMMARY 153 8 ADAPTIVE TUNINGS 155 ADAPTIVE TUNINGS MODIFY THE PITEHES OF NOTES AS THE MUSIC EVOLVES IN RESPONSE TO THE INTERVALS PLAYED AND THE SPECTRA OF THE SOUNDS EMPLOYED. 8.1 FIXED VS. VARIABLE SCALES 155 8.2 THE HERMODE TUNING 157 8.3 SPRING TUNING 159 8.4 CONSONANCE-BASCD ADAPTATION 162 8.5 BEHAVIOR OF THE ALGORITHM 164 8.6 THE SOUND OF ADAPTIVE TUNINGS 172 8.7 SUMMARY 177 9 A WING, AN ANOMALY, A RECOLLECTION 179 ADAPTATION: TOOLS FOR RETUNING, TECHNIQUES FOR EOMPOSITION, STRATEGIES FOR LISTENING. 9.1 PRACTICAL ADAPTIVE TUNINGS 179 9.2 A REAL-TIME IMPLEMENTATION IN MAX 180 9.3 THE SIMPLINED ALGORITHM 182 9.4 CONTEXT, PERSISTENCE, AND MEMORY 184 9.5 EXAMPLES 185 9.6 COMPOSITIONAL TECHNIQUES AND ADAPTATION 189 9.7 TOWARD AN AESTHETIC OF ADAPTATION 194 9.8 IMPLEMENTATIONS AND VARIATIONS 196 9.9 SUMMARY 198 10 THE GAMELAN 199 IN THE SAME WAY THAT WESTERN HARMONIC INSTRUMENTS ARE RELATED TO WESTERN SCALES, SO THE INHARMONIC SPECTRURN OF GAMELAN INSTRUMENTS ARE RELATED TO THE GAMELAN SCALES. XIV CONTENTS 10.1 A LIVING TRADITION 199 10.2 AN UNWITTING ETHNOMUSICOLOGIST 201 10.3 THE INSTRUMENTS 202 10.4 TUNING THE GAMELAN 211 10.5 SPECTRUM AND TUNING 216 10.6 SUMMARY 220 11 CONSONANCE-BASED MUSICAL ANALYSIS 221 THE DISSONANCE SCORE DEMONSTRATES HOW SENSORY CONSONANCE AND DIS- SONANCE CHANGE OVER THE COURSE OF A MUSICAL PERFORMANCE. WHAT CAN BE SAID ABOUT TUNINGS USED BY DOMENICO SCARLATTI USING ONLY THE EXTANT SONATAS ? 11.1 A DISSONANCE SCORE 221 11.2 RECONSTRUCTION OF HISTORICAL TUNINGS 232 11.3 WHAT S WRONG WITH THIS PICTURE? 242 12 FROM TUNING TO SPECTRUM 245 HOW TO FIND RELATED SPECTRA GIVEN A DESIRED SCALE. 12.1 LOOKING FOR SPECTRA 245 12.2 SPECTRUM SELECTION AS AN OPTIMIZATION PROBLEM 245 12.3 SPECTRA FOR EQUAL TEMPERAMENTS 247 12.4 SOLVING THE OPTIMIZATION PROBLEM 251 12.5 SPECTRA FOR TCTRACHORDS 254 12.6 SUMMARY 266 13 SPECTRAL MAPPINGS 267 HOW TO RELOCATE THE PARTIALS OF A SOUND FOR COMPATIBILITY WITH A GIVEN SPECTRUM, WHILE PRESERVING THE RICHNESS AND CHARACTER OF THE SOUND. 13.1 THE GOAL: LIFE-LIKE INHARMONIC SOUNDS 267 13.2 MAPPINGS BETWEEN SPECTRA 269 13.3 EXAMPLES 277 13.4 DISCUSSION 284 13.5 SUMMARY 289 14 A MUSIC THEORY FOR 10-TET 291 EACH RELATED SPECTRUM AND SCALE HAS ITS OWN MUSIC THEORY. 14.1 WHAT IS 10-TET? 291 14.2 10-TET KEYBOARD 292 14.3 SPECTRA FOR 10-TET 293 14.4 10-TET CHORDS 294 CONTENTS XV 14.5 10-TET SCALCS 300 14.6 A PROGRESSION 300 14.7 SUMMARY 301 CLASSICAL MUSIC OF THAILAND AND 7-TET 303 SEVEN-TONE EQUAL TEMPERAMENT AND THE RELATIONSHIP BETWEEN SPECTRUM AND SCALE IN THAI CLASSICAL MUSIC. 15.1 INTRODUCTION TO THAI CLASSICAL MUSIC 303 15.2 TUNING OF THAI INSTRUMENTS 304 15.3 TIMBRE OF THAI INSTRUMENTS 305 15.4 EXPLORING 7-TET 310 15.5 SUMMARY 316 SPECULATION, CORRELATION, INTERPRETATION, CONCLUSION 317 16.1 THE ZEN OF XENTONALITY 317 16.2 COEVOLUTION OF TUNINGS AND INSTRUMENTS 318 16.3 TO BOLDLY LISTEN 320 16.4 NEW MUSICAL INSTRUMENTS? 322 16.5 SILENCE HATH NO BEATS 324 16.6 CODA 324 APPENDICES 327 A. MATHEMATICS OF BEATS: WHERE BEATS COME FRORN 329 B. RATIOS MAKE CENTS: CONVERT FRORN RATIOS TO CENTS AND BACK AGAIN 331 C. SPEAKING OF SPECTRA: HOW TO USE AND INTERPRET THE FFT ... . 333 D. ADDITIVE SYNTHESIS: GENERATING SOUND DIRECTLY FRORN THE SINE WAVE REPRESENTATION: A SIMPLE COMPUTER PROGRAM, 343 E. HOW TO DRAW DISSONANCE CURVES: DETAILED DERIVATION OF THE DISSONANCE MODEL, AND COMPUTER PROGRAMS TO CARRY OUT THE CALCULATIONS 345 F. PROPERTIES OF DISSONANCE CURVES: GENERAL PROPERTIES HELP GIVE AN INTUITIVE FEEL FOR DISSONANCE CURVES 349 G. ANALYSIS OF THE TIME DOMAIN MODEL: WHY THE SIMPLE TIME DOM,AIN MODEL FAITHFULLY REPLICATES THE FREQUENCY DOMAIN MODEL 355 H. BEHAVIOR OF ADAPTIVE TUNINGS: MATHEMATICAL ANALYSIS OF THE ADAPTIVE TUNINGS ALGORITHM 361 I. SYMBOLIC PROPERTIES OF -TABLES: DETAILS OF THE SPECTRUM SELECTION ALGORITHM 365 J. HARMONIE ENTROPY: A MEASURE OF HARMONICITY 371 K. FOURIER S SONG: PROPERTIES OF THE FOURIER TRANSFORM 375 L. TABLES OF SCALES: MISCELLANEOUS TUNINGS AND TABLES 377 XVI CONTENTS B: BIBLIOGRAPHY 381 D: DISCOGRAPHY 395 S: SOUND EXAMPLES ON THE CD-ROM 399 V: VIDEO EXAMPLES ON THE CD-ROM 411 W: WORLD WIDE WEB AND INTERNET REFERENCES 413 INDEX 417
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physical XVIII, 426 S. Ill., graph. Darst. 24 cm. 1 CD-ROM ; 12 cm
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spellingShingle Sethares, William A. 1955-
Tuning, timbre, spectrum, scale
Accordage
Acoustique
Acústica musical larpcal
Escala musical larpcal
Intervalo (música) larpcal
Musique - Acoustique et physique
Musique - Intervalles et gammes
Psychoacoustique
Som (música) larpcal
Timbre
Musik
Music Acoustics and physics
Musical intervals and scales
Psychoacoustics
Sound
Tone color (Music)
Tuning
Musik (DE-588)4040802-4 gnd
Frequenzanalyse (DE-588)4155397-4 gnd
subject_GND (DE-588)4040802-4
(DE-588)4155397-4
title Tuning, timbre, spectrum, scale
title_auth Tuning, timbre, spectrum, scale
title_exact_search Tuning, timbre, spectrum, scale
title_full Tuning, timbre, spectrum, scale William A. Sethares
title_fullStr Tuning, timbre, spectrum, scale William A. Sethares
title_full_unstemmed Tuning, timbre, spectrum, scale William A. Sethares
title_short Tuning, timbre, spectrum, scale
title_sort tuning timbre spectrum scale
topic Accordage
Acoustique
Acústica musical larpcal
Escala musical larpcal
Intervalo (música) larpcal
Musique - Acoustique et physique
Musique - Intervalles et gammes
Psychoacoustique
Som (música) larpcal
Timbre
Musik
Music Acoustics and physics
Musical intervals and scales
Psychoacoustics
Sound
Tone color (Music)
Tuning
Musik (DE-588)4040802-4 gnd
Frequenzanalyse (DE-588)4155397-4 gnd
topic_facet Accordage
Acoustique
Acústica musical
Escala musical
Intervalo (música)
Musique - Acoustique et physique
Musique - Intervalles et gammes
Psychoacoustique
Som (música)
Timbre
Musik
Music Acoustics and physics
Musical intervals and scales
Psychoacoustics
Sound
Tone color (Music)
Tuning
Frequenzanalyse
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