Music Studies 4711  Final Exam Study Guide
You will be asked to match each of the equations with its description.
Know what each of the following equations represents (and in order to answer later multiple choice questions, how to use it):
f
c
± kf
m
to determine side band frequencies in FM sound synthesis
f = 1/p
given either the period or a frequency value, you can determine the other
P = 1/SR
The sample period (P) is the inverse of the sample rate
dB = 20 log ( Amp(new) / Amp(orig) )
to determine relative amplitude values in decibels
N = .5 * SR
to determine the Nyquist frequency : What is the Nyquist frequency? The highest frequency that can be represented using
a given sample rate.
F' =  NS  F 
to determine the alias of a frequency given a sample rate
M = LRSC
to determine how much memory a certain length sound will consume given the Length (L) the Sample Rate (R) the
Sample Size on Bytes (S) and the number of Channels (C)
Amp(Pn) = Amp(P1) / n
to determine the amplitude of a partial (Pn) of square wave or sawtooth wave
Freq(Pn) = n * Freq(P1)
to determine the frequency of the nth harmonic partial (Pn) of any fundamental frequency(P1)
Know what each of the following equations represents:
Yn = .5x
n
+ .5x
n1
a nonrecursive low pass moving average filter
Yn = .5x
n
+ .5y
n1
a recursive low pass moving average filter
Yn = .5x
n
 .5x
n1
a nonrecursive high pass moving average filter
The remainder of the exam is multiple choice
Know
the frequency range of the human auditory system (20Hz  20kHz)
the most sensitive range of the human auditory system (3000Hz5000Hz)
the amplitude range of the human auditory system (120dB)
the ratios of
octave (1:2)
perfect fifth (2:3)
perfect fourth (3:4)
equal tempered semitone (about 1.059)
10 times as loud (20dB)
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 Spring '10
 Brokaw
 Digital Signal Processing, Aliasing, Subtractive synthesis, Synthesis by Analysis

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