Revision as of 21:58, 2 December 2018 by Gould7 (Talk | contribs)

Using the sound function in Matlab, we are able to create a song using sine waves with specific frequencies. Each note has certain frequency that corresponds to it and through sine waves and putting it into the sound function we are able to create a song. delta = 1/8192;
t1 = 0:delta:1/2;
t2 = 0:delta:1;
t3 = 0:delta:1/3;
t4 = 0:delta:1/4;
t5 = 0:delta:3/4;
tf = 0:delta:2;

A5 = sin(2*pi*440*t1);
C5 = sin(2*pi*523*t1);
D5 = sin(2*pi*587*t1);
E5 = sin(2*pi*659*t1);
G5 = sin(2*pi*784*t1);

G52 = sin(2*pi*784*t2);
C62 = sin(2*pi*1047*t2);
B52 = sin(2*pi*494*t2);
E52 = sin(2*pi*659*t2);
C52 = sin(2*pi*523*t2);
B52 = sin(2*pi*494*t2);
E62 = sin(2*pi*1319*t2);
D62 = sin(2*pi*1175*t2);
B62 = sin(2*pi*988*t2);
F62 = sin(2*pi*1397*t2);
G62 = sin(2*pi*1568*t2);

FS = sin(2*pi*739.989*t1);
FS6 = sin(2*pi*1479.978*t1);

C63 = sin(2*pi*1047*t3);
D63 = sin(2*pi*1175*t3);
E63 = sin(2*pi*1319*t3);
G53 = sin(2*pi*784*t3);
A63 = sin(2*pi*880*t3);
E53 = sin(2*pi*659*t3);
B53 = sin(2*pi*494*t3);
B63 = sin(2*pi*988*t3);
F63 = sin(2*pi*1397*t3);
G63 = sin(2*pi*1568*t3);
C53 = sin(2*pi*523*t3);

G54 = sin(2*pi*784*t4);
E54 = sin(2*pi*659*t4);
E64 = sin(2*pi*1319*t4);
D64 = sin(2*pi*1175*t4);
B64 = sin(2*pi*988*t4);
C64 = sin(2*pi*1047*t4);
G64 = sin(2*pi*1568*t4);
F64 = sin(2*pi*1397*t4);
A64 = sin(2*pi*880*t4);
A54 = sin(2*pi*440*t4);
B54 = sin(2*pi*494*t4);

C55 = sin(2*pi*523*t5);
C65 = sin(2*pi*1047*t5);
E55 = sin(2*pi*659*t5);
C6f = sin(2*pi*1047*tf);

A6 = sin(2*pi*880*t1);
B6 = sin(2*pi*988*t1);
C6 = sin(2*pi*1047*t1);
D6 = sin(2*pi*1175*t1);
E6 = sin(2*pi*1319*t1);
F6 = sin(2*pi*1397*t1);
G6 = sin(2*pi*1568*t1);
p = sin(2*pi*1*t1);

sound([G53,E54,C52,E5,G5,C62,p,E63, ...

   D64,C62,E5,FS,G52,p,G53,G53,E62, ...
D63,C6,B62,p,A63,B64,C62,C6,G5,E5, ...
C52,p,E5,G53,C52,E5,G5,C62,p,E6, ...
D63,C62,E5,FS,G52,p,G5,G53,E62,D6, ...
C6,B62,p,A6,B63,C62,C6,G5,E5,C5,p, ...
E64,E64,E62,F6,G6,G62,p,F64,E64,D62, ...
E6,F6,F62,p,F6,E62,D64,C6,B62,p,A64, ...
B64,C62,E5,FS,G52,p,G5,C6,C6,C64, ...
B64,A6,A6,A6,D6,F63,E6,D63,C62,B6, ...
p,G53,G53,C62,D63,E63,F63,G62,p,C63, ...
D63,E62,F6,D6,C6f]);

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

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