Line 69: Line 69:
 
p = sin(2*pi*1*t1);<br />
 
p = sin(2*pi*1*t1);<br />
  
sound([G53,E54,C52,E5,G5,C62,p,E63, ...<br />
+
sound([G53,E54,C52,E5,G5,C62,p,E63, <br />
     D64,C62,E5,FS,G52,p,G53,G53,E62, ...<br />
+
     D64,C62,E5,FS,G52,p,G53,G53,E62, <br />
     D63,C6,B62,p,A63,B64,C62,C6,G5,E5, ...<br />
+
     D63,C6,B62,p,A63,B64,C62,C6,G5,E5, <br />
     C52,p,E5,G53,C52,E5,G5,C62,p,E6, ...<br />
+
     C52,p,E5,G53,C52,E5,G5,C62,p,E6, <br />
 
     D63,C62,E5,FS,G52,p,G5,G53,E62,D6, ...<br />
 
     D63,C62,E5,FS,G52,p,G5,G53,E62,D6, ...<br />
 
     C6,B62,p,A6,B63,C62,C6,G5,E5,C5,p, ...<br />
 
     C6,B62,p,A6,B63,C62,C6,G5,E5,C5,p, ...<br />

Revision as of 23:22, 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);

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]);

Alumni Liaison

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

Dr. Paul Garrett