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␈↓"∧␈↓ α∧␈↓␈↓ β!␈↓βSOUND SYNTHESIS AND CONTROL OF TIMBRE␈↓


␈↓"∧␈↓ α∧␈↓␈↓ ε_PROBLEM 2


␈↓"∧␈↓ α∧␈↓␈↓αHere␈α⊃we␈α⊃have␈α⊃the␈α⊃instrument␈α⊃block␈α⊃diagram,␈α⊃instrument␈α⊃code,␈α⊃and␈α⊃the␈α⊃function␈α⊃of␈α⊃the
␈↓ α∧␈↓αparameters␈α∞for␈α∞an␈α∞instrument␈α
which␈α∞is␈α∞designed␈α∞to␈α
produce␈α∞vibrato.␈α∞ The␈α∞instrument␈α
also
␈↓ α∧␈↓αhas␈α∂an␈α⊂oscilator␈α∂to␈α⊂control␈α∂the␈α⊂amplitude␈α∂of␈α⊂the␈α∂output␈α⊂wave␈α∂(amplitude␈α⊂envelope).␈α∂ The
␈↓ α∧␈↓αfrequency,␈α∞P3,␈α∞is␈α∞the␈α∞average␈α∞frequency␈α
while␈α∞the␈α∞frequency␈α∞deviation,␈α∞P5,␈α∞determines␈α
the
␈↓ α∧␈↓αnumber␈α
of␈α∞cycles␈α
above␈α
and␈α∞below␈α
its␈α∞average␈α
the␈α
frequency␈α∞will␈α
deviate.␈α∞ The␈α
frequency,
␈↓ α∧␈↓αP6, is the rate at which the deviation will occur (moduation frequency).␈↓∧


















␈↓"∧␈↓ α∧␈↓∧P1       P2     P3     P4     P5     P6     P7      P8     P9
␈↓"∧␈↓ α∧␈↓∧Beg      Dur    Freq   Amp    Freq   Mod    Amp     Mod    Output
␈↓"∧␈↓ α∧␈↓∧                              dev.   freq   env     wave   wave

␈↓"∧␈↓ α∧␈↓∧0        1      440    1000   5      6      F2      F1     F3

␈↓"∧␈↓ α∧␈↓∧␈↓α1.␈α∞ How␈α∂can␈α∞we␈α∞add␈α∂an␈α∞OSCIL␈α∞to␈α∂this␈α∞instrument␈α∞such␈α∂that␈α∞the␈α∞frequency␈α∂deviation␈α∞will
␈↓ α∧␈↓αincrease␈α
and␈α
decrease␈α
as␈α
the␈α
amplitude␈α
(envelope)␈α
of␈α
the␈α
output␈α
wave␈α
increases␈α
and␈α
decreases.
␈↓ α∧␈↓αThe maximum deviation will again be determined by P5.