part v references, index - springer978-3-642-24517-6/1.pdf · references 1. adorno th w: zu einer...
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Part V
References, Index
References
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318 Index
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Index
A, 171
C(T ), 285
D, 76
GLn(R), 294
H, 177
K, 76
P , 171
Ph, 176
Q, 282
S(b, a), 183
STRG, 227
SA, 282
SD, 282
SL, 282
SP , 282
T t · h, 294
W (t), 181
@X, 157
C, 164
Δ78, 84
Δ, 195
Δ64, 80
Δ68, 80
Δ71, 80
Δ75, 80
Δ78, 80, 83
Δ82, 80
N, 163
Q, 163
R, 158, 163
Z, 163
Z11, 284
Z12, 284
�, 41, 215−→GLn(R), 294D, 267T , 267�, 41, 215Hz (Hertz), 171Pa (Pascal), 169dB (Decibel), 171ez, 197f , 171, 176f ∗ g, 211g(t), 183k, 176m, 176s(t), 183w(t), 176x, 176℗, 124©, 1243M, 17, 153
AAAC (Advanced Audio Coding), 202abstraction, 216, 238acoustics, 169
musical -, 6ACROE, 184Adagio
movement, 108ADC (Analog to Digital Conversion),
201address, 157
change, 285
G. Mazzola et al., Musical Creativity,Computational Music Science, DOI 10.1007/978-3-642-24517-6,© Springer-Verlag Berlin Heidelberg 2011
319
320 Index
Adler, Alfred, 136Adorno, Theodor Wiesengrund, 88, 262,
264ADSR, 177aesthesic, 7aesthesis, 239aesthetic, 7
needs, 136aesthetics, 51, 53, 111, 124, 126, 132,
151affine
morphism, 284agogics, 234, 253Agustın Aquino, Octavio Alberto, 73AIFF, 202air
pressure, 169vibration, 173
aleatoricmusic, 252
Aleinikov, Andrei, 161algebraic
topology, 269algorithm
FFT -, 200algorithm (Yamaha), 181, 182all interval row, 96alteration, 299, 300Altshuller, Genrich, 162Amati, 175Amberol cylinder, 191amplitude, 171, 176, 177
spectrum, 176analog, 186analysis
creative -, 279, 281Schenker -, 230
analyticalparameter, 280
anchor, 290ancient
China, 132Egypt, 132
antecedent, 107appreciation, 118, 124appropriate, 145architecture
concept -, 112, 113, 226Aristotle, 37
arthistory, 132
articulation, 234artificial intelligence, 99artist
performing -, 240artistic
presence, 242ASCII, 227aspect
commercial -, 16, 123community -, 16, 117instrumental -, 16large form -, 16system -, 16, 93contrapuntal -, 16harmonic -, 16, 47large form -, 107melodic -, 16, 57motivational -, 16, 23pitch -, 16, 37rhythmical -, 16, 29
associativefield, 59, 109
atomicconcept, 113form, 107instrument, 176, 179sound, 182, 183
attack, 282audience, 11, 101, 102, 247Audio Engineering Society, 217audio file formats
digital -, 203auditory
cortex, 169masking, 204nerves, 169
Augustine, Saint, 29auto-conversation, 120autocomplementarity
symmetry, 79, 80, 289axis
of embodiment, 240of semiotics, 241
BBaboushka
principle, 10
Index 321
Bach, Johann Sebastian, 29, 65, 83, 114,234, 262
backplate, 175
BACON, 138Bahle, Julius, 145Bailey, Derek, 273balance, 240, 243band
harmonic -, 63, 64band pass
filter, 212Bars, Itzhak, 242basis
orthonormal -, 199bass
clef, 41Batteux, Charles, 134Baud, 219beat, 30Beatles, 34, 65, 126, 148
Michelle, 58, 62, 70Yesterday, 252
beauty, 51, 53, 55, 123Beethoven, Ludwig van, 4, 25, 29, 31,
48, 70, 85, 123, 131, 165, 173, 234Diabelli variations, 306Sonata op. 106 (Hammerklavier), 31,
70, 103, 108, 238, 260, 280, 297Sonata op. 109, 4, 108, 115, 167, 305Sonata op. 57 (Appassionata), 149String Quartet GrosFuge op. 133
B�-major, 116String Quartet No. 9, op. 59, No. 3,
116being
needs, 136Bekker, Paul, 263belly
plate, 175Bergson, Henri, 135Berliner, Emile, 191bifurcation, 276BigBang
rubette, 92, 292, 293, 297biology, 264bitonality, 53bitrate, 203, 207Blues
form, 109Boccherini, Luigi, 173Boden, Margaret, 144body, 243, 267
musician’s -, 240of sounds, 240of time, 30, 37, 241, 243, 261
Boissiere, Anne, 279, 280Boissier, Valerie, 154Boolean calculus, 63, 66Borgo, David, 273Bott, Jared, 91boulette, 289, 292Boulez, Pierre, 4, 92, 231, 279–282, 292
Structures pour deux pianos, 4, 92,102, 258, 280
bow, 175Brandenburg, Karlheinz, 202bridge, 109, 175Buddhism, 37, 133Busoni, Ferrucio, 42Buteau, Chantal, 57Byungki Hwang, 34
Ccable
MIDI -, 219cadence, 50, 100, 308Cadence Jazz Records, 188Cage, John, 26, 169, 214, 236
ASLSP, 169, 214cantabile, 57cantus firmus (c.f.), 74, 276carrier, 181catastrophe
modulation, 238catechism, 73, 104category
theory, 157Cavailles, Jean, 166, 241, 244, 274CCRMA, 184CD, 190, 191, 235Chatelet, Gilles, 265Chand, Ivonne, 142change
address -, 285channel
MIDI -, 221Cherlin, Michael, 110, 237
322 Index
chess automaton, 99Chladni
mode, 175Chladni, Ernst, 175chop, 175Chopin, Frederic
Second Piano Sonata, 114chord, 48Chordis Anima, 184chords
multiplication of -, 290choreography, 100–102Chowning, John, 180, 231chronospectrum, 177circle
vicious -, 112circular
reference, 111, 113, 230clarinet, 173class
creative -, 162clef
bass -, 41treble -, 41
Clynes, Manfred, 88cochlea, 169coda, 108cognitive
psychology, 143coherence, 111col legno, 175Coleman, Ornette, 169, 273colimit, 158, 225, 307
form, 229Coltrane, John, 29, 151, 273combinational
type, 144combinatorial
question, 26combinatorics, 282comes, 60, 115commercial, 117
aspect, 16, 123value, 237
communication, 5, 7, 101, 117, 200, 217,239, 258, 262
MIDI -, 219community, 117
aspect, 16, 117
commutativering, 228
compactgesture, 216
completeness, 226complex
number, 197complex number representation of
sinusoidal functions, 197composer, 11
creative -, 166composition, 86, 166, 176, 233, 236, 258,
260, 279computer-aided -, 281dance -, 100flow chart, 236instant -, 247lead sheet -, 234spectral -, 180
compositionalcreativity, 147narrativity, 239
compression, 201Huffman -, 202Joint Stereo Coding -, 208lossless -, 201lossy -, 201MP3 -, 201psychoacoustical -, 202
computationalmodels, 146
computermusic, 43
computer-aided composition, 281concept
architecture, 112, 113, 226atomic -, 113critical -, 24, 31, 38, 49, 60, 77, 87, 98,
111, 120, 124, 151, 159, 166, 178,180, 188, 200, 209, 216, 224, 244,257, 258, 262, 276, 280, 282, 306
conceptualextension, 294
concertpitch, 39
conjecture, Fermat -, 282conjectures, Weil -, 282connectivity
gestural -, 243
Index 323
connotation, 10consciouness, 247consequent, 107consonant, 47, 54, 74, 76, 165construction
recursive -, 228universal -, 228
consumerism, 124contemporary
art music, 262music, 252theories, 141
content, 7, 111, 186of music, 48
context, 24, 30, 38, 48, 59, 76, 86, 110,119, 124, 149, 159, 244
semiotic -, 17continuous
map, 267contrapuntal
aspect, 16tension, 77, 78, 80variation, 306world, 82
convergentproduction, 137thinking, 139
convolution, 211Cook, Nicholas, 146Cook, Parry, 184Cooley, James W., 200coordinate, 227coordinator, 227Cope, David, 146copyright, 124cortex
auditory -, 169Corti
organ, 178counterpoint, 45, 47, 54, 73, 165, 173,
271, 288counting, 253Cox, Catharine, 137CRC (Cycle Redundancy Check), 205creatio ex nihilo, 133creation
gestural -, 92musical -, 165
creative, 164
analysis, 279, 281class, 162composer, 166improviser, 166pedagogy, 15, 161performance, 242personality, 147
creativity, viii, 15, 51, 73, 133, 134, 149,169, 177, 215, 233, 237, 259, 280,309
compositional -, 147concept
mathematical variant of -, 305four P’s of -, 141gestural -, 243group -, 138, 147improvisational -, 147, 236, 239, 245in free jazz, 273mathematical model of -, 157musical -, 145process, 159recursion in musical -, 239Western concept of -, 133
creator, 131critical
concept, 24, 31, 38, 49, 60, 77, 87, 98,111, 120, 124, 151, 159, 166, 178,180, 188, 200, 209, 216, 224, 244,257, 258, 262, 276, 280, 282, 306
Crowley, James, 91Csıkszentmihalyi, Mihaly, 138, 143, 247curve
tempo, 215cutoff
frequency, 213
DD, 50D’Alembert, Jean le Rond, 224, 225Dallapiccola, Luigi, 146dance, 90, 173, 240, 243, 253
composition, 100Darwin, Charles, 132, 134, 135DAT, 190Dawkins, Richard, 138Decibel, 171decomposition
orthonormal -, 6dedication, 120
324 Index
deduction, 279deficiency
needs, 136deformation, 59, 66, 81, 114, 182, 299deliverer role, 88denotator, 150, 214, 224, 233
name, 227Descartes, 259detonation, 280development, 108developmental
sentence, 107diachronic, 110, 119, 239dialogue
inner -, 259dichotomy, 165
imaginary -, 81major -, 80strong -, 80
Diderot, Denis, 134, 224, 225digital, 186
audio file formats, 203encoding of music, 191
digraph, 267dilation, 294directed
graph, 267discantus, 74, 276discourse, 226dissonant, 47, 50, 74, 76, 165distributed
identity, 242divergent
production, 137thinking, 139
divinetime, 152
dodecaphonicrow, 94, 240
dodecaphonism, 52, 93, 95Dolphy, Eric, 245dominant, 50dream, 146dress-body
metaphor, 109Duff, William, 134duration, 30, 172, 177, 215, 253, 282dux, 60, 115DX7 (Yamaha), 180
Dylan, Bob, 126dynamics, 234
Eear, 188eardrum, 39Edison, Thomas, 190educational
methodology, 161Ehrenfels, Christian von, 59Eimert, Herbert, 214Einstein, Albert, viii, 19, 26, 150, 254,
260electrical circuit simulation of acoustical
configurations, 213electromagnetic
encodingof music, 185
electronicmusic, 252
embodiment, 5, 9, 111, 259, 261, 262axis of -, 240
emergentproperty, 231, 242
Emmy, 146encoding
of music, 189Encyclopedie, 225Enlightenment, 134envelope, 177, 178, 180, 182EQ, 212Ericsson, K. Anders, 148Escher
Theorem, 78, 155, 267, 270Escher, Maurits Cornelis, 4, 272Euler, Leonhard, 54, 79, 197event
sound -, 217evolution, 132exchange
gestural -, 264experiment, 280exploratory
type, 144exponential
function, 197exposition, 108, 114expression, 7, 173
poetical -, 111
Index 325
extensionconceptual -, 294semiotic -, 150
Ffact, 9facticity, 264family
of violins, 174, 184supportive -, 148
Faust, 125Fermat conjecture, 282fermata, 215FFT
algorithm, 200FFT (Fast Fourier Transform), 195, 196Fibonacci sequence, 260field
associative -, 59, 109fifth
perfect -, 44, 79fifths
forbidden parallels of -, 81filter, 212
band pass -, 212high pass -, 212high shelf -, 212low pass -, 212low shelf -, 212notch -, 212
Finalemovement, 108
finder, 144finite
Fourier analysis, 193first
piano, 286first species, 74five-stage
model, 136flow, 144, 151, 241, 243
semiotic - process, 242flute, 173FM, 172, 180forbidden parallels of fifths, 81form, 111, 227
atomic -, 107Blues -, 109colimit -, 229
large -, 107, 109, 110limit -, 228name, 227powerset, 230rhetorical -, 108simple -, 227sonata -, 107song -, 109type, 227
formula, 100Fourier -, 198
four P’s ofcreativity, 141
Fourier, 172analysis
finite -, 193formula, 198spectrum, 191theorem, 6, 176, 177transform, 210
Fourier, Jean Baptiste Joseph, 6, 176,180
fourthperfect -, 44, 79
frameheader, 206MP3 -, 205
freeimprovisation, 151
free atonal music, 93free jazz, 35, 242, 252, 253, 267
creativity in -, 273frequency, 39, 176
cutoff -, 213modulation, 180Nyquist -, 196sample -, 195sampling -, 203vanishing -, 210
Freud, Sigmund, 136, 146Fromm, Erich, 136frozen
gesture, 88Fry, Arthur, 18, 153fugue, 60, 115function
exponential -, 197harmonic -, 49, 53periodic -, 193
326 Index
poetical -, 109sinusoidal -, 176, 180
functor, 157, 306functoriality, 285fundamental
group, 247Fux’s rules, 74Fux, Johann Joseph, 73, 81, 93, 165, 271fuzzy
harmonic function, 50, 53logic, 153
GGalenson, David W., 144Galois
theory, 163Galton, Sir Francis, 135, 136Gauss, Carl Friedrich, 200Gen Gan-ru, 125Geneplore
model, 138general
intelligence, 137genius, 133Gesamtkunstwerk, 264gestalt, 59, 135gestuality, 243, 246gestural
connectivity, 243creation, 92creativity, 243exchange, 264interface, 91
gesture, 9, 31, 59, 63, 77, 86, 166, 175,216, 217, 240, 243, 247, 264, 267,279, 281
compact -, 216frozen -, 88network, 244theory, 267three-finger -, 92
GIS (Geographic Information Systems),230
God, 125Goethe, Wolfgang von, 125Gould, Glenn, 262Graci, Baltasar, 134Gradus ad Parnassum, 73gradus suavitatis, 54, 79
graphdirected -, 267
groove, 30trap, 274
Grothendieck, Alexander, vii, 282group
creativity, 138, 147fundamental -, 247mathematical, 247standardization -, 202
Grundreihe, 94Guarneri, 175Guilford, Joy Paul, 137
HHaba, Alois, 42, 43hall
music -, 170Hanslick, Eduard, 260harmonic
aspect, 16, 47band, 63, 64function, 49, 53
fuzzy -, 50, 53harmony, 45, 47, 77, 173Harnoncourt, Nikolaus, 167Hawking, Stephen, 242Haydn, Joseph, 173Hayes, John R., 143, 147header
frame -, 206hearing, 38
threshold, 204Hertz, 39Hichert, Jens, 73high pass
filter, 212high shelf
filter, 212Hindemith, Paul, 146Hinduism, 37historical social context of music, 118history
art -, 132Hjelmslev, Louis, 10, 239homotopy, 269Honegger, Arthur, 146Huffman
compression, 202
Index 327
humansenses -, 37voice, 57
hypercube of musicaloniontology, 9
hypergesture, 78, 155, 243, 245, 269, 272
IICMC, 184identity
distributed -, 242imaginary
dichotomy, 81space-time, 247
imperfectconsonance, 74
improvisation, 166, 233, 234, 242, 260free -, 151slow motion -, 245
improvisationalcreativity, 147, 236, 239, 245
improviser, 242creative -, 166
IN port, 219induction, 279industry
music -, 124, 262inner
dialogue, 259inspiration, 131instant
composition, 247instrument, 173, 184, 288
atomic -, 176, 179musical -, 85, 86
instrumentalaspect, 16interface, 240wall, 42
intelligencegeneral -, 137
interdisciplinarity, 264interface
gestural -, 91instrumental -, 240
Internet, 192interpreter, 11interval, 44, 45invention
musical -, 164IQ, 137IRCAM, 184, 231ISC (Intensity Stereo Coding), 208ISO (Int. Organization for Standardiza-
tion), 202isolation
wall, 42
JJackson, Michael, 261Jagger, Mick, 261Jakobson, Roman, 109, 114James, William, 136jazz
free -, 35, 242, 252, 253, 267Jevons, William S., 134Johnson, Eldridge R., 191Johnson, Tom, 99
Formula, 99Joint Stereo Coding
compression, 208Junod, Julien, 73, 83, 165
Kkairos, 243Keats, George, 51, 53Kepler
laws, 152Kepler, Johannes, 47, 138, 152, 154Kinderman, William, 308King, Emily, viiiKleist, Heinrich von
Marionettentheater, 264Klumpenhouwer-network, 229knock, 175knowledge
society, 162Korean
traditional music, 53folk
music, 93Kozbelt, Aaron, 139Krenek, Ernst, 146Kris, Ernst, 136
LLaban, Rudolf von, 263lacking originality, 262
328 Index
language, 162
Lanier, Sidney, 19
large
form, 107, 109, 110
aspect, 16, 107
LaViola, Joseph, 91
laws
Kepler -, 152
lead sheet
composition, 234
Leibowitz, Rene, 96
leitfaden, 16
lemma
Yoneda -, 157, 284, 302
Lewin, David, 229, 237
life
value, 125
Ligeti, Gyorgy, 29, 102, 110, 258,280–282, 287
Lux Aeterna, 102
limit, 225
form, 228
lips, 173, 184
Liszt, Franz, 154
logic, 111
fuzzy -, 153
logical
time, 236, 239, 246
longitudinal
wave, 171
Lorentz
transformation, 150
Losinger, Ania, 90
lossless
compression, 201
lossy
compression, 201
loudness, 172, 282
loudspeaker, 171, 186, 189
loure, 175
low pass
filter, 212
low shelf
filter, 212
LP, 189
Lubart, T. I., 145
�Lukasiewicz, Jan, 135
Lutoslawski, Witold, 126
MMobius
band, 64Malzel, Johann Nepomuk, 30, 99MacroScore, 290major
dichotomy, 80making
sound, 172time, 254
Mao Tse Tung, 125Mao Tse-tung, 118map
continuous -, 267Maqam
music, 42marketplace, 123Martinville, Edouard-Leon Scott de, 190masking
auditory -, 204temporary -, 204
Maslow, Abraham, 136mass-spring
model, 184mathematical
model of creativity, 157music theory, 165variant of
creativity concept, 305Mathews, Max, 231Max MSP, 42, 232Mazzola, Guerino, vii, 4, 34, 57, 68, 73,
251, 252, 256, 299, 310L’essence du bleu, 104Synthesis, 68Verino qu’es, 252
McLuhan, Marshall, 231, 281meaning
of music, 26, 51, 58, 98, 111melodic
aspect, 16, 57variation, 306
melody, 57, 58memes, 138memory, 137
musical -, 237memory stick, 190mental
reality, 6
Index 329
Merker, Bjorn, 145, 147Merleau-Ponty, Maurice, 265message
MIDI -, 217MIDI channel -, 221MIDI Real Time -, 222MIDI system -, 221MIDI System common -, 222MIDI System Exclusive -, 222
message categoriesMIDI -, 221
metaphordress-body -, 109room -, 156
metasystem, 10method
synthesis -, 172methodology
educational -, 161metronome, 30mic, 186mic types
condenser, 187moving coil dynamic, 187ribbon, 187
Michelangelo, 134Michelle, 58, 62, 70microphone
system, 171microtonal, 42MIDI, 7, 217, 233, 246, 256
cable, 219channel, 221channel message, 221communication, 219message, 217message categories, 221Real Time message, 222Specification, 217Standard - File, 218System common message, 222System Exclusive message, 222system message, 221tick, 222time, 222velocity, 221word, 220
MIDI (Musical Instrument DigitalInterface), 214
mixer, 186Modalys, 184mode, 175
Chladni -, 175model
five-stage -, 136Geneplore -, 138mass-spring -, 184
modelingphysical -, 172, 184
modelscomputational -, 146
modulation, 52, 77, 244catastrophe -, 238frequency -, 180
modulator, 181module, 228Molino, Jean, 7Monk, Thelonious, 50monochord, 44Moore, Cooper, 117, 123morphing, 299morphism, 157
affine -, 284motif, 57, 58, 107, 112, 115
three-element -, 68motion
contrary -, 74direct -, 74oblique -, 74
motivatedsemiotics, 10
motivationalaspect, 16, 23
movementAdagio -, 108Finale -, 108Scherzo -, 108
Mozart, Wolfgang Amadeus, 57, 146,165, 309
“Ah, vous dirai-je Maman” KV 265,306
MP3, 192, 202compression, 201file identifier, 205frame, 205
MP4, 202MPEG (Moving Pictures Experts
Group), 202
330 Index
MPEG-1, 202MPEG-2, 202MSSC (Mid/Side Stereo Coding), 208multiplication
of chords, 290Mundry, Isabel, 263Murray, Sunny, 123music
about music, 114absolute -, 115aleatoric -, 252computer -, 43contemporary -, 252contemporary art -, 262content of -, 48digital encoding of -, 191electromagnetic encoding of -, 185electronic -, 252encoding of -, 189free atonal -, 93hall, 170industry, 124, 262Korean
folk -, 93traditional -, 53
Maqam -, 42meaning of -, 26, 51, 58, 98, 111paper -, 87, 262styles, 23technology, 3theory
mathematical -, 165universal data format for -, 224Western art -, 253, 262, 263
music, historical social context of -, 118musical
acoustics, 6creation, 165creativity, 145instrument, 85, 86invention, 164memory, 237oniontology, 5ontology, 5performance, 243reality, 260story, 58, 98, 102system, 93, 96time, 29
musician’sbody, 240
Muzak, 118Muzzulini, Daniel, 73mysticism, 132
NNoh, 29, 89name
denotator -, 227form -, 227
NAMM (National Association of MusicMerchants), 217
Nancarrow, Conlon, 123narrativity
compositional -, 239needs
being -, 136deficiency -, 136aesthetic -, 136
nervesauditory -, 169
networkof gestures, 244
neumes, 88, 100, 216, 233neuroscience, 6neutral
level, 7niveau, 186, 240
NewComplexity, 89, 262Music, 262Simplicity, 262
Newton, Isaac, 150, 176Newtonian
time, 152NIME, 91niveau
neutral -, 240Noise Music, 262nose, 184notation
systems, 40wall, 42Western -, 25, 41, 46, 88, 214, 217
notchfilter, 212
Note-ON, 221novelty, 25, 131
Index 331
numbercomplex -, 197
Nyquistfrequency, 196theorem, 196
Oobjectivization, 237obstruction
psychological -, 164octave, 44, 183offset, 215oniontology, 5, 240
hypercube of musical -, 9musical -, 5
onset, 172, 177, 215, 253ontology, 260
musical -, 5open
work, 280OpenMusic, 232orchestration, 176order
syntagmatic -, 96organ
Corti -, 178originality, 263
lacking -, 262orthogonality
relations, 195, 199orthonormal
basis, 199decomposition, 6
OUT port, 219overtone, 176, 180
PPAC (Perceptual-Audio-Coding), 204Palestrina, Giovanni Pierluigi da, 73, 98paper
music, 87, 262paradigmatic, 59paralogic, 162parameter
analytical -, 280primary -, 282secondary -, 282
Park, Joomi, vii, 4, 67, 251, 252, 256,258, 310
American Carnival, 252, 256, 263Black Summer, 67, 83, 252
Parker, Charlie, 147Parker, William, 117partial, 6, 176passion, 123, 257Passionate Message, 251, 310path, 287pause, 30, 33, 35pedagogy
creative -, 15, 161perfect
consonance, 74fifth, 44, 79fourth, 44, 79
performance, 214creative -, 242musical -, 243theory, 215, 234
performer, 241performing
artist, 240period, 107, 171
sample -, 195periodic
function, 193permutational
variation, 306person, 141personality
creative -, 147perspective, 158perspectives
variable -, 306persuasion, 141phase, 176
spectrum, 176phonautogram, 190phonoautograph, 190phonograph, 190phrase, 107physical
modeling, 172, 184reality, 6time, 236, 241
physics, 260piano, 40, 43, 57, 86, 90, 154
first -, 286second -, 286
332 Index
Picasso, Pablo, vPino, Paolo, 134pitch, 39, 171, 172, 176, 282
aspect, 16, 37concert -, 39
place, 141, 147Planck time, 21, 73plate
back -, 175belly -, 175
pluck, 175poesy
Rhyme -, 109poetical
expression, 111function, 109
poietic, 7, 186, 201polyphony, 73polyrhythm, 35port
IN -, 219OUT -, 219THRU -, 219
Porter, Cole, 124Post-It, 17postproduction, 189potential, 141powerobject, 225powerset
form -, 230precision, 120presence, 240, 243
artistic -, 242Presley, Elvis, 261pressure
air -, 169primary
parameter, 282principle
Baboushka -, 10problem, 142, 162
-findingtheories, 143
-solvingtheories, 143
solving, 151process, 8, 141
creativity -, 159processuality, 264
product, 141, 147production
convergent -, 137divergent -, 137
propertyemergent -, 231, 242
proximity, 66psychoacoustical
compression, 202psychoanalysis, 146psychological
obstruction, 164reality, 6
psychology, 135cognitive -, 143
punctus contra punctum, 76, 78Pythagoreans, 44, 47, 131
Qquartet
string -, 173, 175question
combinatorial -, 26open -, 17, 24, 29, 37, 48, 58, 75, 86,
96, 118, 124, 149, 159, 183, 209,244, 258
RRaga, 53, 93RAM, 190Ramachandran, Vilayanur S., 166Rank, Otto, 136rate
sample -, 191realities, 5, 6reality
mental -, 6musical -, 260physical -, 6psychological -, 6
recapitulation, 108, 114recursion
in musical creativity, 239recursive
construction, 228reed, 173reference
circular -, 111, 113, 230reflection, 294
Index 333
regression, 136relations
orthogonality -, 195, 199relevance, 120religion, 132Renaissance, 131reservoir
technique, 206responsibility, 35, 101, 254, 256Reti, Rudolf, 57revelation, 131rhetorical
form, 108Rhyme
poesy, 109rhythm, 31rhythmical
aspect, 16, 29variation, 306
ride the horse, 35, 257Riemann, Hugo, 50, 51, 53, 55, 76ring
commutative -, 228Risset, Jean-Claude, 231RLE (Run Length Encoding), 201Rogers, Carl, 136ROM, 190room
metaphor, 156rotation, 65, 294row
all interval -, 96dodecaphonic -, 94, 240tone -, 94
RUBATO�, 53, 214, 224, 279, 288rubette
BigBang -, 92, 292, 293, 297rules
system -, 98Runco, Mark A., 142
SS, 50Sachs, Klaus-Jurgen, 277Saint Victor, Hugues de, 267sample
frequency, 195period, 195rate, 191
samplingfrequency, 203
Sanders, Pharoah, 43Sarbiewsky, Maciej Kazimierz, 134satellite, 290sautille, 175Sawyer, Keith, 147, 151, 247saxophone, 43Say, Fazil, 91scale, 41
C-major -, 50Schenker
analysis, 230Schenker, Heinrich, 146Scherzo
movement, 108Schnittke, Alfred, 114
Symphony No. 1, 114Schoenberg, Arnold, 52, 53, 63, 77, 85,
93, 97, 102, 111, 117, 120, 146, 236,240, 244, 246, 258, 281
op. 33, 95string quartet op. 10, 114string trio op. 45, 237Waltz for Piano, op. 23 no. 5, 93
Schuppanzigh, Ignaz, 173score, 11, 25, 34, 214, 233, 253, 262Scriabin, Alexander, 29
Piano Sonata, op. 72 (Vers la flamme),116
Seashore, Carl E., 146second
piano, 286secondary
parameter, 282seeker, 144Seitzer, Dieter, 202self, 259self-referential, 244semantics, 48, 51, 52, 55, 110semiotic
extension, 150flow process, 242
semiotics, 5, 8, 48, 110, 119, 149, 162axis of -, 241motivated -, 10
senseshuman, 37
sentence
334 Index
developmental -, 107serialism, 52, 93, 252, 280seriousness, 120, 237Sessions, Roger, 88shearing, 294shuffle, 175sign
critical -, 17signification, 7Silver, Spencer, 17, 153similarity, 66Simondon, Gilbert, 279Simonton, Dean Keith, 138, 145simple
form -, 227singer
synthesis, 184sinusoidal
functionscomplex number representation of -,
197function, 176, 180
Sirone, 123skeleton, 267slave, 218slow motion
improvisation, 245Smirnov, Andrey, 91Smith, Dave, 217society
knowledge -, 162solving
problem -, 151sonata
form, 107song
form, 109songwriter, 124sound, 169
atomic -, 182, 183event, 217making -, 172source, 169
soundsbody of -, 240
sourcesound -, 169
space, 240topological -, 267
space-timeimaginary -, 247
spectralcomposition, 180
spectrumamplitude -, 176Fourier -, 191phase -, 176
sphere, 287spontaneity, 242staff, 41Standard
MIDI File, 218standardization, 217, 272
group, 202startbit, 220status
word, 220Sternberg, Robert, 131, 145Stockhausen, Karlheinz, 146
Klavierstuck IX, 260stopbit, 220story
musical -, 58, 98, 102Stradivari, 175Strauss Jr, Johann
Blue Danube waltz, 114string, 175
quartet, 173, 175theory, 47
strongdichotomy, 80
Studio fur elektronische Musik, 214style
Venetian polychoral -, 171styles
music -, 23subdominant, 50sublimation, 136substance, 227, 310super-summativity, 59support, 177supportive
family, 148Susman, Alla, 162syllabus, 21symbolic
time, 236, 237symmetry
Index 335
autocomplementarity -, 79, 80, 289synchronic, 119, 239syntagm, 48, 59, 109, 237, 239syntagmatic
order, 96synthesis
method, 172singer -, 184
synthesizer, 218system
aspect, 16, 93microphone -, 171musical -, 93, 96rules, 98
systemstheories, 144
TT, 50Taoism, 133tape, 190Taylor, Cecil, 29, 34, 35, 90, 117, 120,
123, 154, 165, 252, 256–258, 273,283
Tchaikovsky, Peter, B�-minor PianoConcerto, 114
techniquereservoir -, 206
tempo, 30, 215, 253curve, 215
temporarymasking, 204
tensioncontrapuntal -, 77, 78, 80
Terman, Lewis, 137tetractys, 47Thalmann, Florian, viii, 92, 293theme, 57Theorem
Escher -, 78, 155, 267, 270theorem
Fourier -, 6, 176, 177Nyquist -, 196
theoriescontemporary -, 141problem-finding -, 143problem-solving -, 143systems -, 144
theory
category -, 157Galois -, 163gesture -, 267performance -, 215, 234string -, 47topos -, 157, 283, 302transformational -, 237
thinkingconvergent -, 139divergent -, 139
three-elementmotif, 68
three-fingergesture, 92
thresholdhearing -, 204
throat, 184THRU port, 219tick
MIDI -, 222time, 33, 150, 236, 253
body of -, 30, 37, 241, 243, 261divine -, 34, 152logical -, 236, 239, 246making -, 254MIDI -, 222musical -, 29Newtonian -, 152physical -, 236, 241Planck -, 21, 73signature, 30, 34, 35symbolic -, 236, 237
Tinctoris, Johannes, 134to apply, 100to play, 87, 100tonality, 50, 52, 53tone
row, 94tonic, 50topological
space, 267topology, 267, 279
algebraic -, 269topos, 225
theory, 157, 283, 302Torrance Tests of Creative Thinking,
137Torrance, E. Paul, 137torus, 287
336 Index
transduction, 279, 288transform
Fourier -, 210transformation, 59, 65, 98, 114, 294
Lorentz -, 150transformational
theory, 237type, 145
translation, 294trap
groove -, 274treble
clef, 41triad, 50, 53trill, 290, 308TRIZ (=Theory of Inventive Problem
Solving), 162trumpet, 173, 177truth, 51, 53, 111Tsuda, Schuyler, 299Tuckey, John W., 200tuning, 215
well-tempered -, 44tutorial, vii, 3, 15, 23, 166type
combinational -, 144exploratory -, 144form -, 227transformational -, 145
UUhde, Jurgen, 305–307unity, 226universal
construction, 228data format for music, 224
VValery, Paul, 7value
commercial -, 237life -, 125
vanishingfrequency, 210
variableperspectives, 306
variationcontrapuntal -, 306melodic -, 306
permutational -, 306rhythmical -, 306
velocityMIDI -, 221
Venetian polychoral style, 171Venus
of Hohle Fels, 132of Tan-Tan, 132
vibrationair -, 173
viciouscircle, 112
violin, 40, 43, 85, 90, 169, 175, 184violins
family of -, 174, 184virtuosity, 185visualization
of walls, 155VL-1 (Yamaha), 184voice, 173
human -, 57
WWagner, Richard, 264waiter role, 111wall, 162, 170, 171, 178, 180, 238, 253,
259, 263, 264instrumental -, 42isolation -, 42notation -, 42visualization of -, 155
wall (physical), 170Wallas, Graham, 135, 142wallpaper, 295walls, 17, 25, 33, 39, 49, 51, 77, 88, 99,
111, 120, 125, 152, 159, 188, 194,200, 209, 216, 224, 244, 257, 258,262, 276, 280, 282, 306
extended -, 17, 27, 34, 43, 45, 53, 66,79, 89, 101, 113, 121, 126, 157, 159,178, 280, 309
open -, 159wave, 176
longitudinal -, 171wavelet, 172, 182Weil conjectures, 282Weisberg, Robert W., 148well-tempered
tuning, 44
Index 337
Westernart music, 253, 262, 263notation, 25, 41, 46, 88, 214, 217
Wieland, Renate, 88, 268Wittgenstein, Ludwig, 8Wood, Chet, 217word
MIDI -, 220status -, 220
work, 11, 131open -, 280
worldcontrapuntal -, 82
XXALA, 90
Xenakis, Iannis, 63, 126
Nomos Alpha, 63
Y
Yamaha, 180
Yoneda
lemma, 157, 284, 302
Yoneda, Nobuo, 284
Z
Zahorka, Oliver, 57
Zlotin, Boris, 162
zone, 247
Zuccari, Federico, 134