The Topos of Music IV: Roots

, 208, 210 action, 518 literal -, 210 theorem, 208 complete category, 1425 harmony, 827 quiver, 1375 uniform space, 1450 completeness, 36, 42, 49 finite -, 138 completion, semantic -, 49 complex analysis, 1465 cell -, 325 chain -, 1475 cochain -, 1477 derivative, 1465 gesture, 1042 module -, 288 number, 948 numbers, 1385 of affine functions, 288 quotient -, 289 set -, 314 simplicial -, 779, 1445 simplicial cochain -, 1447 time, 1186, 1218 complexity, 165 degree of -, 162 formal -, 383 measure, 254 of performance, 548 component aleatoric -, 198 alteration, 107 idempotent -, 1377 irreducible -, 269 metrical -, 267 reduced -, 107 semiotic -, 854 composed frame, 802 composer, 12, 895, 1263 perspective of the -, 246 composition, 162, 1372 t-fold tangent -, 551 global standard -, 293 commutative local -, 105 computer assisted -, 801 computer-aided -, 774, 791 concept, 571 dodecaphonic -, 124 functorial -, 1180 functorial local -, 101 generic, 174 global -, 41, 140, 831, 987, 1466 N -formed -, 291 oriented -, 291 resolution of a -, 323 global functorial -, 256 global objective -, 252 interpretable -, 304 local -, 41, 75, 89, 90 embedded -, 106 dimension of a -, 178 generating -, 106 projecting -, 178 standard -, 293 local objective -, 90 locally free local -, 175 modular -, 251 musical -, 30 non-interpretable -, 305, 308 non-interpretable global -, 990 tangent -, 551 tools, fractal -, 115 compositional design, 209 idea, 322 space, 204 compositions commutative global -, 285 local category of -, 89 computation symbolic -, 801 computational musicology, 21 computer assisted composition, 801 science, 6, 156 computer-aided anthropology, 765 composition, 774, 791 computer-assisted performance research, 629, 701 conativity, 212 concatenation, 132, 1372 principle, 133, 512 concept, 9, 35 architecture, 152 composition -, 571 construction history, 47 critical -, 1072 denotator -, 665 form -, 665 format, 42 framework, 3, 5, 9 abstraction -, 385 dynamic -, 329 fuzzy -, 164 grouping -, 250