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%Homework #1 %ECE 301 - Spring 2011 %Kyle Richmond

%Part 1a: Play "Smoke on the Water" at original tempo tempo = 112; %Beats per minute delta = .00005; %Sampling rate %Frequencies of necessary notes G = (2^(-2/12))*440; %G note frequency B_f = (2^(1/12))*440; %B flat note frequency C = (2^(3/12))*440; %C note frequency D_f = (2^(4/12))*440; %D flat note frequency %Time spans for necessary notes Q = [0:delta:(60/tempo)]; %Quarter note length DQ = [0:delta:(90/tempo)]; %Dotted quarter note length E = [0:delta:(30/tempo)]; %Eighth note length H = [0:delta:(120/tempo)]; %Half note length %Notes G_Q = sin(2*pi*G*Q); %G quarter note B_f_Q = sin(2*pi*B_f*Q); %B flat quarter note C_DQ = sin(2*pi*C*DQ); %C dotted quarter note D_f_E = sin(2*pi*D_f*E); %D flat eighth note C_H = sin(2*pi*C*H); %C half note %Song smoke = [G_Q,B_f_Q,C_DQ,G_Q,B_f_Q,D_f_E,C_H,G_Q,B_f_Q,C_DQ,B_f_Q,G_Q]; sound(smoke, 1/delta); %Play "Smoke on the Water" %Create sound file wavwrite(smoke,1/delta,32,'Kyle_Richmond_DeepPurple_Regular');

%Part 1b: Play "Smoke on the Water" at twice the original tempo tempo = 224; %Beats per minute delta = .00005; %Sampling rate %Frequencies of necessary notes G = (2^(-2/12))*440; %G note frequency B_f = (2^(1/12))*440; %B flat note frequency C = (2^(3/12))*440; %C note frequency D_f = (2^(4/12))*440; %D flat note frequency %Time spans for necessary notes Q = [0:delta:(60/tempo)]; %Quarter note length DQ = [0:delta:(90/tempo)]; %Dotted quarter note length E = [0:delta:(30/tempo)]; %Eighth note length H = [0:delta:(120/tempo)]; %Half note length %Notes G_Q = sin(2*pi*G*Q); %G quarter note B_f_Q = sin(2*pi*B_f*Q); %B flat quarter note C_DQ = sin(2*pi*C*DQ); %C dotted quarter note D_f_E = sin(2*pi*D_f*E); %D flat eighth note C_H = sin(2*pi*C*H); %C half note %Song smoke = [G_Q,B_f_Q,C_DQ,G_Q,B_f_Q,D_f_E,C_H,G_Q,B_f_Q,C_DQ,B_f_Q,G_Q]; sound(smoke, 1/delta); %Play "Smoke on the Water" %Create sound file wavwrite(smoke,1/delta,32,'Kyle_Richmond_DeepPurple_Faster');

%Part 1c: Play "Smoke on the Water" with transformation y(t)=x(2t) tempo = 112; %Beats per minute delta = .00005; %Sampling rate %Frequencies of necessary notes G = (2^(-2/12))*880; %G note frequency B_f = (2^(1/12))*880; %B flat note frequency C = (2^(3/12))*880; %C note frequency D_f = (2^(4/12))*880; %D flat note frequency %Time spans for necessary notes Q = [0:delta:(60/tempo)]; %Quarter note length DQ = [0:delta:(90/tempo)]; %Dotted quarter note length E = [0:delta:(30/tempo)]; %Eighth note length H = [0:delta:(120/tempo)]; %Half note length %Notes G_Q = sin(2*pi*G*Q); %G quarter note B_f_Q = sin(2*pi*B_f*Q); %B flat quarter note C_DQ = sin(2*pi*C*DQ); %C dotted quarter note D_f_E = sin(2*pi*D_f*E); %D flat eighth note C_H = sin(2*pi*C*H); %C half note %Song smoke = [G_Q,B_f_Q,C_DQ,G_Q,B_f_Q,D_f_E,C_H,G_Q,B_f_Q,C_DQ,B_f_Q,G_Q]; sound(smoke, 1/delta); %Play "Smoke on the Water" %Create sound file wavwrite(smoke,1/delta,32,'Kyle_Richmond_DeepPurple_HighPitch');

%Part 2: Play a Beatles song in reverse %Read the file [Beatles, fs] = wavread('Beatles.wav'); %Reverse the file Backwards = flipud(Beatles); %Play the reversed file sound(Backwards,fs); %Create sound file wavwrite(Backwards,fs,32,'Kyle_Richmond_BeatlesReversed'); %The original file is the verse "Number nine" repeated several times %However, when the signal is reversed it sounds like they are saying %"Turn me on dead man" repeatedly

Media:Kyle_Richmond_DeepPurple_Regular.wav Media:Kyle_Richmond_DeepPurple_Faster.wav Media:Kyle_Richmond_DeepPurple_HighPitch.wav Media:Kyle_Richmond_BeatlesReversed.wav

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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