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% Jordan Ramer
% ECE 301
% Homework 1

%%%%%Part 1%%%%%

delta = .00005; %step size

for m = 1:3 %cycles through parts a,b,c (starts with a)

    spb = 60 / 112; % seconds per beat
    if m==2 %part b

        spb = spb / 2; % twice the speed
    end
     hlf = 0:delta:spb*2; % half note length
     dtqtr = 0:delta:spb*1.5; % dotted quarter note length
     qtr = 0:delta:spb*1; % quarter note length
     eighth = 0:delta:spb/2; % eighth note length

     %frequency of the notes used
     rest = 0;
     A = 440;
     G = 2^(-2/12) * A;
     Bfl = 2^(1/12)* A;
     C = 2^(3/12) * A;
     Dfl = 2 ^ (4/12) * A;
     if m == 3 % part c
         %doubled frequencies
         A = A*2;
         G = G*2;
         Bfl = Bfl *2;
         C = C*2;
         Dfl = Dfl*2;
     end

     smoke = [G*qtr,Bfl*qtr,C*dtqtr,G*qtr,Bfl*qtr,Dfl*eighth,C*hlf,G*qtr,Bfl*qtr,C*dtqtr,Bfl*qtr,G*qtr,rest*eighth,rest*hlf]; %song notes
     smoke = sin(2*pi*smoke); %converts notes to sine wave
     sound(smoke,1/delta) % plays song

     %write audio files for a,b, and c
     if m==2 %part b
         wavwrite(smoke,1/delta,'part_b.wav');
     elseif m==3 %part c
         wavwrite(smoke,1/delta,'part_c.wav');
     else %part a
         wavwrite(smoke,1/delta,'part_a.wav');
     end
end

%%%%%Part 2%%%%%

% a) The repeated phrase is "number 9"

[beatles,fs] = wavread('Beatles.wav'); %extracts data and frequency
reverse = flipud(beatles); % reverses data
sound(reverse,fs); % plays reversed song
wavwrite(reverse,fs,'reverse.wav');

% b) I don't think there is a message if I had to pick something out
% maybe "here me yonder men"?

Sound Files
Media:Part_a.wav
Media:Part_b.wav
Media:Part_c.wav
Media:Jmramer_Reverse.wav

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

Dr. Paul Garrett