Revision as of 18:05, 18 January 2011 by Cprivera (Talk | contribs)

%HW 1 Problem 1a

clear all

clc


f_A = 440; % Frequency of A4

tempo = 112/60; % Tempo of the song

delta = 5e-5; % Spacing between data

fs = 1/delta; % Frequency at which the song will be played


G = 2^(-2/12)*f_A; % Calculates the frequency of G

C = 2^(3/12)*f_A; % Calculates the frequency of C

Bflat = 2^(1/12)*f_A; % Calculates the frequency of B flat

Dflat = 2^(4/12)*f_A; % Calculates the frequency of D flat


H = 0:delta:(2/tempo); % Creates a matrix for the length of a half note

Q = 0:delta:(1/tempo); % Creates a matrix for the length of a quater note

E = 0:delta:((1/2)/(tempo)); % Creates a matrix for the length of a eigth note

DQ = 0:delta:((3/2)/(tempo)); % Creates a matrix for the length of a dotted quater note


% Creates Matrix for the song based on the note and the time it is held

z = [sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*C*DQ), sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*Dflat*E), sin(2*pi*C*H), sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*C*DQ), sin(2*pi*Bflat*Q), sin(2*pi*G*Q)];


sound(z, fs) % Plays the song

wavwrite(z, fs, 'Question1A.wav'); %Writes song into wav file


Media:Question1A.wav


%HW 1 Problem 1b

clear all

clc


f_A = 440; % Frequency of A4

tempo = 112/60; % Tempo of the song

delta = 5e-5;  % Spacing between data

fs = 1/delta; % Frequency at which the song will be played


G = 2^(-2/12)*f_A; % Calculates the frequency of G

C = 2^(3/12)*f_A; % Calculates the frequency of C

Bflat = 2^(1/12)*f_A; % Calculates the frequency of B flat

Dflat = 2^(4/12)*f_A; % Calculates the frequency of D flat


H = 0:delta:(2/tempo); % Creates a matrix for the length of a half note

Q = 0:delta:(1/tempo); % Creates a matrix for the length of a quater note

E = 0:delta:((1/2)/(tempo)); % Creates a matrix for the length of a eigth note

DQ = 0:delta:((3/2)/(tempo)); % Creates a matrix for the length of a dotted quater note


% Creates Matrix for the song based on the note and the time

z = [sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*C*DQ), sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*Dflat*E), sin(2*pi*C*H), sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*C*DQ), sin(2*pi*Bflat*Q), sin(2*pi*G*Q)];


sound(z, 2*(fs)) % Plays the song the two times faster by multiplying the frequency by 2

wavwrite(z ,2*(fs) ,'Question1B.wav'); %Writes song into wav file


Media:Question1B.wav


%HW 1 Problem 1c

clear all

clc


f_A = 440; % Frequency of A4

tempo = 112/60; % Tempo of the song

delta = 5e-5;  % Spacing between data

fs = 1/delta; % Frequency at which the song will be played


f_A = 2*f_A; % Rescales the song according to the transformation function y(t) = x(2t)

G = 2^(-2/12)*f_A; % Calculates the frequency of G

C = 2^(3/12)*f_A; % Calculates the frequency of C

Bflat = 2^(1/12)*f_A; % Calculates the frequency of B flat

Dflat = 2^(4/12)*f_A; % Calculates the frequency of D flat


H = 0:delta:(2/tempo); % Creates a matrix for the length of a half note

Q = 0:delta:(1/tempo); % Creates a matrix for the length of a quater note

E = 0:delta:((1/2)/(tempo)); % Creates a matrix for the length of a eigth note

DQ = 0:delta:((3/2)/(tempo)); % Creates a matrix for the length of a dotted quater note


% Creates Matrix for the song based on the note and the time

z = [sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*C*DQ), sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*Dflat*E), sin(2*pi*C*H), sin(2*pi*G*Q), sin(2*pi*Bflat*Q), sin(2*pi*C*DQ), sin(2*pi*Bflat*Q), sin(2*pi*G*Q)];


sound(z, fs) % Plays the rescaled song

wavwrite(z, fs, 'Question1C.wav'); %Writes song into wav file


Media:Question1C.wav


%HW 1 Problem 2

clear all

clc


[x,f] = wavread('Beatles.wav'); %Reads Beatles wav file and places it a matrix x for the data and variable f for the frequency

y = flipud(x); %System which flips the data for the song allowing it to be reveresed


wavplay(y,f) % Plays the reversed song

wavwrite(y, f, 'Question2.wav'); %Writes song into wav


Media:Question2.wav


% The reversed song doesn't sound like anything to me. After a quick google search its suppose to say "turn me on dead man" and then can I kind of hear it, but sounds more like "bring me on deadman".

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

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