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== Creating the Star Spangled Banner in MATLAB==
 
== Creating the Star Spangled Banner in MATLAB==
Sophia Gould
+
===== Sophia Gould =====
  
 
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.  <br /> <br />
 
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.  <br /> <br />

Revision as of 22:04, 2 December 2018

Creating the Star Spangled Banner in MATLAB

Sophia Gould

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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