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| Benson D. — Mathematics and music |
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| Предметный указатель |
Odington, Walter (fl. 1298—1316) 183
Olson, Harry F. 430
Omega  16
One-one correspondence 296
Online Music Instruction Page 356
Online papers 379
Op de Coul, Manuel, xii 356
Opcode (CSound) 263
Open tube 97
Operator 252
Operator, adjoint 400
Operator, compact 408 410
Operator, Fredholm 401
Operator, Laplace 107 398 407
Operator, positive 409
Operator, self-adjoint 408
Orbach, Jack 430
Orbit 305
Orchestra 81
Orchestra file (CSound) 261
Order 293
Ordered pairs 303
Ordinary comma 152
Ordinary differential equation 13 14 22 54
Organ 242 382—384
Organ stops 242
Organ, Duke / Brombaugh 172
Organ, Knox / Toronto / Wollf 172
Organ, Malamini 184
Organ, Trochtelbom 178 394
Organ, Wahlberg 390
Organ, Wellesley / Fisk 172
Organum, parallel 183
Orientation 218 414
Origin 215
Orthogonality relation 32 46 408
oscil, oscili (CSound) 263
Oscillator 241
Oscillators, coupled 199
Oscillators, low frequency (LFO) 240
Oscilloscope 69
Osseous labyrinth 4
Ossicular chain 3
Outer ear 3
Oval window 3 5
Overblowing 99
Overdamped system 23
Overtone 133
Overture (software) 359
P-limit 190
Padgham, Charles A. 430
Palestrina, Giovanni Pierluigi da (ca. 1526—1594) 183
Palindrome 282 288
Pallas, orbit of 199
Panning 228 273
Papers online 379
Parabolic envelope 93
Parabolic envelope (bowed string) 93
Paradox, Russel's 290
Paradox, Shepard's 144
Paradox, tritone 145
Parallel organum 183
Parallelogram 21 218
Parameter, flare 111
Paranoia in the music business 223
Parmentier, Edward 393
Parseval's identity 69 74 229
Parseval, Marc Antoine (1755—1836) 0
Partch, Harry (1901—1974) 168 189 393 430
Partial 133 134 143 242
Partial derivative 83 387
Partial differential equation 61 83 102 395 422
Partial fractions 200 236
Particular integral 25
Partitia no. 5, Gigue (J. S. Bach) 167
Patch 228 258 358
Patterns, frieze 285
PC 357
Peak amplitude 16 19
Peak of consonance 139
Pelog scale 187
Percussion instruments 81 245 260
Perfect BP-tenth 212
Perfect fifth 135 139 205 373
Perfect fifth, Cordier's equal temperament 181
Perfect fourth 139 146 152 182
Periodic continued fraction 199
Periodic function 30 32 137
Periodic wave 30
Periodic, Riemann integrable 39
Periodicity block 215 218 307
Perle, George (1915- ) 430
Permutation 186
Permutation group 293
Perpendicular 32
Perret, Wilfrid 191
Pfrogner, Hermann (1911- ) 431
Phase 16 19—21 69 97 241
Phase vocoder 261 276
Phenomenon, Gibbs 35 41
Phi function, Euler's 4>(n) 301 316
Phillips, Dave 357 431
Philolaus of Tarentum (d. ca. 390 B.C.) 155 204
Phon 11
Phrygian 378
Physical modeling 243
PI 16th c. approximation to 379
Pi is irrational 196
Pi is smaller than  200
Pi,  radians in a circle 16
Pi, biblical value of 195
Pi, continued fraction for 194
Pi, meantone scale based on  172
Piano 81 385
Piano, computer-controlled 381
Piano, hammer 383
Piano, harmonic (Harrison) 191
Piano, soundboard 381 382
Piano, strings 381
Piano, tuning 18 19
Piano, tuning, Cordier's equal temperament 181
Piano, tuning, Pleyel 181
Pickles, James O. 431
Picture, laugh track 132
Pictures at an Exhibition (Mussorgsky) 239 393
Pictures, air guitar 82
Pictures, Boole orders lunch 222
Pictures, Bosanquet's harmonium 202
Pictures, Brown's voice harmonium 164
Pictures, Calvin and Hobbes 45
Pictures, Carlos, Wendy 210
Pictures, Chinese bell 128
Pictures, Chinese flute 97
Pictures, Chladni patterns on drum 105
Pictures, Chladni's drawings 125
Pictures, Chowning, John 250
Pictures, cochlea 4
Pictures, coneflower 284
Pictures, d'Alembert, Jean-le-Rond 84
Pictures, ear 3
Pictures, ear chart 8
Pictures, Escher, Ascending and descending 144
Pictures, Euler, Leonhard 162
Pictures, feedback in the cochlea 7
Pictures, Fibonacci 200
Pictures, Fourier, Joseph 30
Pictures, Frank and Ernest 82 132 158 279
Pictures, Gaffurius' Experiences of Pythagoras 135
Pictures, gong 123
Pictures, Hammond B3 organ 242
| Pictures, Italian clavecin with split keys 185
Pictures, Kepler, Johannes 160
Pictures, lather, rinse, repeat 279
Pictures, lyre 85
Pictures, Malamini organ (split keys) 184
Pictures, Marpurg, Wilhelm 161
Pictures, mbira 120
Pictures, Mersenne, Marin 88
Pictures, mobile instrument, Arthur Frick 435
Pictures, osseous labyrinth 4
Pictures, Partch, Harry 189
Pictures, poor acoustics 131
Pictures, proving the existence of fish 70
Pictures, Pythagoras 147
Pictures, riti 92
Pictures, simplified version for public 107
Pictures, singing bowl 127
Pictures, Theorboe 82
Pictures, timpani (Hoffnung) 101
Pictures, Trasuntius' 31 tone clavicord 208
Pictures, tuba curva 110
Pictures, tuna fish 158
Pictures, Vallotti, Francescantonio 177
Pictures, visual illusion 146
Pictures, WABOT-2 238
Pictures, Webern, Op. 24/28 304
Pictures, xylophone 112
Pictures, Yamaha DX7 252
Piecewise continuity 41
Pierce, John R. (1910- ) 11 140 431
Pierrot Lunaire (Schoenberg) 186
Pink noise 69
Pinna 3
pipe 97
Pitch 2 17 136
Pitch, class set 311
Pitch, classes 269 299
Pitch, envelope 261
Pitch, in Tudor Britain 17
Pitch, Mozart's 17
Pitch, natural 15
Pitch, perception, place theory of 6
Pitch, virtual 143
Place theory 6
Plagal cadence 350
Plagal mode 377
Plain Bob 295
Plain Hunt 295
Planck's constant 63
Planck, Max (1858—1947) 0
Plane domains, isospectral 109
Planetary motion 59 136
Plato (427—347 B.C.) 182
Pleyel, piano tuning 181
Plomp, R. and Levelt, W. J. M. 138
Plucked bottle 247
Plucked string 245
Pohlmann, Ken C 431
Pointwise convergence 42 44
Poisson's ratio 122
Poisson's summation formula 70 229
Poisson, Simeon Denis (1781—1840) 0
Polar coordinates 65 69 102 345 388
Poles 236
Poli, Piccialli and Roads 431
Polya's enumeration theorem 314
Polya, George (1887—1985) 427
Polychord 427
Polyhedron 414
Polynomials, Chebyshev 277
Polyphonic music 183
Pope, Stephen Travis 431
Portuguese square drum 106
Position, equilibrium 14
Positive operator 409
potential energy 403
Power gain 10
Power intensity 9
Power series 317
Power series for  57 58
Power Tracks Pro Audio (software) 360
Practical Music Theory (online) 356
Praetorius, Michael (1571—1621) 0
Praetorius, Musae Sioniae 12
Predictability in music 282
Preludes and Fugues (J.S. Bach) 173
Pressure, acoustic 97 108 130
Prime (bell) 126
Prime form 303 312
Principal value, Cauchy 64
Principle of reflection 86
Pringsheim, Alfred (1850—1941) 196
Product, cartesian 303
Product, direct 303
Product, inner 32 46 399
Programming language, C 261
Progression 165
Proving the existence of fish 70
psychoacoustics 2 143 227 392 422 424 426 428—431 434
Psychology of music 424
Psychophysics 432
Ptolemy comma 152
Ptolemy diatonic syntonon 182
Ptolemy, Claudius (ca. 83—161 A.D.) 187
public domain 261
Pulse width modulation 61 240
Pure imaginary numbers 345
PWM 61 240
Pyknon 182
Pythagoras (ca. 569—500 B.C.) 135
Pythagorean 204
Pythagorean apotome 148 364
Pythagorean comma 148 151 173 181 201 203 364
Pythagorean minor semitone 148
Pythagorean scale 147 363
Quadratic equation 22 199
Quadrivium 136 350
Quantization 222
quantum mechanics 63
Quarter-tone scale 205
QuasiFractalComposer (freeware) 361
Quaternarius 350
Quefrency 77
Quint (bell) 126
Quintilianus, Aristides 187
Quotient, Rayleigh's 408
R (retrograde) 302
RADIANS 16 274
Radians per second 21
Radio, AM and FM 248
Radius of curvature 115
Ragas 191
Rahmonics 77
Raichel, Daniel R, 431
Rainbow 134
Rainforest (Rich) 393
Raman, Chandrasekhra Venkata (1888—1970) 96 106
Ramanujan, Srinivasa Aiyangar (1887—1920) 193
Rameau, Jean-Philippe (1693—1764) xi 136 179 184 431
Ramis' monochord 158
Ramis, Bartolomeus, de Pareja (1440-ca. 1491) 386
Random music xii 361
Random wave 240
ratio 10
Ratio of integers 134 135 152
Ratio, frequency 150
Ratio, golden 196 199
Ratio, Poisson's 122
Rational approximation 193—201
Rational function 235
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