Line 16: Line 16:
 
G5 = sin(2*pi*784*t1);<br />
 
G5 = sin(2*pi*784*t1);<br />
  
G52 = sin(2*pi*784*t2);<br />
 
C62 = sin(2*pi*1047*t2);<br />
 
 
B52 = sin(2*pi*494*t2);<br />
 
B52 = sin(2*pi*494*t2);<br />
E52 = sin(2*pi*659*t2);<br />
 
 
C52 = sin(2*pi*523*t2);<br />
 
C52 = sin(2*pi*523*t2);<br />
B52 = sin(2*pi*494*t2);<br />
+
E52 = sin(2*pi*659*t2);<br />
E62 = sin(2*pi*1319*t2);<br />
+
G52 = sin(2*pi*784*t2);<br />
D62 = sin(2*pi*1175*t2);<br />
+
 
B62 = sin(2*pi*988*t2);<br />
 
B62 = sin(2*pi*988*t2);<br />
 +
C62 = sin(2*pi*1047*t2);<br />
 +
D62 = sin(2*pi*1175*t2);<br />
 +
E62 = sin(2*pi*1319*t2);<br />
 
F62 = sin(2*pi*1397*t2);<br />
 
F62 = sin(2*pi*1397*t2);<br />
 
G62 = sin(2*pi*1568*t2);<br />
 
G62 = sin(2*pi*1568*t2);<br />
Line 31: Line 30:
 
FS6 = sin(2*pi*1479.978*t1);<br />
 
FS6 = sin(2*pi*1479.978*t1);<br />
  
C63 = sin(2*pi*1047*t3);<br />
+
B53 = sin(2*pi*494*t3);<br />
D63 = sin(2*pi*1175*t3);<br />
+
C53 = sin(2*pi*523*t3);<br />
E63 = sin(2*pi*1319*t3);<br />
+
E53 = sin(2*pi*659*t3);<br />
 
G53 = sin(2*pi*784*t3);<br />
 
G53 = sin(2*pi*784*t3);<br />
 
A63 = sin(2*pi*880*t3);<br />
 
A63 = sin(2*pi*880*t3);<br />
E53 = sin(2*pi*659*t3);<br />
 
B53 = sin(2*pi*494*t3);<br />
 
 
B63 = sin(2*pi*988*t3);<br />
 
B63 = sin(2*pi*988*t3);<br />
 +
C63 = sin(2*pi*1047*t3);<br />
 +
D63 = sin(2*pi*1175*t3);<br />
 +
E63 = sin(2*pi*1319*t3);<br />
 
F63 = sin(2*pi*1397*t3);<br />
 
F63 = sin(2*pi*1397*t3);<br />
 
G63 = sin(2*pi*1568*t3);<br />
 
G63 = sin(2*pi*1568*t3);<br />
C53 = sin(2*pi*523*t3);<br />
 
  
 +
A54 = sin(2*pi*440*t4);<br />
 +
B54 = sin(2*pi*494*t4);<br />
 
G54 = sin(2*pi*784*t4);<br />
 
G54 = sin(2*pi*784*t4);<br />
 
E54 = sin(2*pi*659*t4);<br />
 
E54 = sin(2*pi*659*t4);<br />
E64 = sin(2*pi*1319*t4);<br />
+
A64 = sin(2*pi*880*t4);<br />
D64 = sin(2*pi*1175*t4);<br />
+
 
B64 = sin(2*pi*988*t4);<br />
 
B64 = sin(2*pi*988*t4);<br />
 
C64 = sin(2*pi*1047*t4);<br />
 
C64 = sin(2*pi*1047*t4);<br />
 +
D64 = sin(2*pi*1175*t4);<br />
 +
E64 = sin(2*pi*1319*t4);<br />
 +
F64 = sin(2*pi*1397*t4);<br />
 
G64 = sin(2*pi*1568*t4);<br />
 
G64 = sin(2*pi*1568*t4);<br />
F64 = sin(2*pi*1397*t4);<br />
 
A64 = sin(2*pi*880*t4);<br />
 
A54 = sin(2*pi*440*t4);<br />
 
B54 = sin(2*pi*494*t4);<br />
 
  
 
C55 = sin(2*pi*523*t5);<br />
 
C55 = sin(2*pi*523*t5);<br />
C65 = sin(2*pi*1047*t5);<br />
 
 
E55 = sin(2*pi*659*t5);<br />
 
E55 = sin(2*pi*659*t5);<br />
 +
C65 = sin(2*pi*1047*t5);<br />
 
C6f = sin(2*pi*1047*tf);<br />
 
C6f = sin(2*pi*1047*tf);<br />
  
Line 67: Line 66:
 
F6 = sin(2*pi*1397*t1);<br />
 
F6 = sin(2*pi*1397*t1);<br />
 
G6 = sin(2*pi*1568*t1);<br />
 
G6 = sin(2*pi*1568*t1);<br />
 +
 
p = sin(2*pi*1*t1);<br />
 
p = sin(2*pi*1*t1);<br />
  

Revision as of 22:32, 2 December 2018

Coding the Star Spangled Banner in MATLAB


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. Below is an example of MATLAB code that can be used to play the star spangled banner.

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);

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

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

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

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

Alumni Liaison

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

Dr. Paul Garrett