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Cambridge University Press 978-0-521-61999-8 - Music: A Mathematical Offering Dave Benson Index More information Index Bold page numbers indicate a main entry. = 1 2π θ θ θ am π 0 cos(m ) f ( )d ,40 amplifier, 14, 268 AAC, 250 response, 53 Aaron, Pietro (ca. 1480–1550) amplitude, 6, 7, 17, 25, 26, 27 meantone temperament, 186 instantaneous, 90 abelian group, 325 modulation, 276 abs (CSound), 307 peak, 21, 25 absolute RMS, 25 integrability, 74 AMSLATEX, xiii value, 49 analogue acceleration, 19 modelling synthesizer, 71 acoustic signal, 245 law, Ohm’s, 11 synthesizer, 71, 268, 385 pressure, 107, 119, 142 angular velocity ω = 2πν, 21, 33 acoustics, 117, 137, 142 animals, hearing range of, 13 nonlinear, 71 antanairesis, 163 additive synthesis, 268 anvil, 8 ADSR envelope, 266 apical, 9 adufe, 117 apotom¯e, Pythagorean, 164, 181, 369 Aeolian, 379 approximation aeolsklavier, 91 rational, 214–223 aerophones, 91 Archytas of Tarentum (428–365 bce), 203 Africa, 131 arctan function, 218 Agamemnon, 313 area Agricola, Martin (1486–1556) density, 112, 133 monochord, 175 in polar coordinates, 75 AIFF sound file, 249, 291 Aristotle (384–322 bce), 4 air, 5 Aristoxenus (ca. 364–304 bce), 208 bulk modulus, 108, 142 arithmetic, clock, 333 algorithm Aron, see Aaron DX7, 285, 288 artifacts, 255 Euclid’s, 163, 223, 336 Ascending and Descending (Escher), 158 inductive, 215 ascending node, 222 Karplus–Strong, 273, 291 ascii, 292, 295 aliasing, 254 associative law, 87, 325 alpha scale (Carlos), 207, 232, astronomy, 147, 148 369 atonal music, 205, 348 alternating group, 355 attack, 266 aluminium, 129 AU sound file, 249 Alves, Bill, 381 auditory canal, 7 AM radio, 276 augmented triad, 342 amplification, 258 aulos, 171 393 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-61999-8 - Music: A Mathematical Offering Dave Benson Index More information 394 Index auricle, 7 Berg, Alban (1885–1935), 320, 348 authentic mode, 379 Bernoulli, Daniel (1700–1782), 37, 126 auxiliary equation, 28 solution of wave equation, 98 AVI movie file, 248 Bessel, F.
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