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Conclusions and Extensions for Chapters IVI
Towards a Philosophy of Music
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30 segments AFAG aleatory algebra Analogique Aristoxenean Aristoxenos ataxy axiomatics axis Byzantine music calculation cells Chapter chromatic chromatic scale cloud columns combinations composer computers concept conductor construction corresponding defined definition diatonic distribution duration elementary elements entropy equal evolution example expressed formula frequencies function fundamental glissando grains in-time instruments intensity interval kinematic diagram large number linear logical machine mathematical matrix mean density mechanism melodic metabolae method Microsound modulo musical composition notation notes O'O O'O octave one-to-one operations orchestra outside-time structure parameters pentachord pitch points Poisson polyphony possible probability protocol random regions residual class scale score screens semitones sequence serial music sieve sieve theory sonic entities sonic events sound sounds/sec speed stage stationary Stochastic Music string symbols tactics temporal tetrachords theory timbre tion tone transformation variables vector space zero