Line 71: Line 71:
 
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 />
    E64,E64,E62,F6,G6,G62,p,F64,E64,D62, ...<br />
+
E64,E64,E62,F6,G6,G62,p,F64,E64,D62, ...<br />
    E6,F6,F62,p,F6,E62,D64,C6,B62,p,A64, ...<br />
+
E6,F6,F62,p,F6,E62,D64,C6,B62,p,A64, ...<br />
    B64,C62,E5,FS,G52,p,G5,C6,C6,C64, ...<br />
+
B64,C62,E5,FS,G52,p,G5,C6,C6,C64, ...<br />
    B64,A6,A6,A6,D6,F63,E6,D63,C62,B6, ...<br />
+
B64,A6,A6,A6,D6,F63,E6,D63,C62,B6, ...<br />
    p,G53,G53,C62,D63,E63,F63,G62,p,C63, ...<br />
+
p,G53,G53,C62,D63,E63,F63,G62,p,C63, ...<br />
    D63,E62,F6,D6,C6f]);<br />
+
D63,E62,F6,D6,C6f]);<br />
 
</small>
 
</small>

Revision as of 23:25, 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

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal