Summary for worksheet on complex waves

 

Example 1:

Wave 1:  (chose 220 Hz)

first harmonic

no phase angle

amplitude 5

sound sample

Wave 2:

Third harmonic

Phase angle of p/2

Amplitude 1.3

Sound sample

Wave 3:

Fifth harmonic

Phase angle  zero

Amplitude 1

Sound sample

Complex wave:

Periodic with fundamental

Shape determined by phases of the harmonics

Sound sample

 

Example 2:

Wave 1:  (chose 220 Hz)

first harmonic

no phase angle

amplitude 5

sound sample

Wave 2:

Third harmonic

Phase angle of p

Amplitude 1.3

Sound sample

Wave 3:

Fifth harmonic

Phase angle p/2

Amplitude 1

Sound sample

Complex wave:

Periodic with fundamental

Shape determined by phases of the harmonics

Sound sample

 

Example 3:

Wave 1:  (chose 220 Hz)

first harmonic

no phase angle

amplitude 4

sound sample

Wave 2:

Third harmonic

Phase angle of p

Amplitude 2.3

Sound sample

Wave 3:

Fifth harmonic

Phase angle  p

Amplitude 1

Sound sample

Complex wave:

Periodic with fundamental (110 Hz)

Shape determined by phases of the harmonics

Sound sample

 

Example 4:

 

Wave 1:  (chose 220 Hz)

first harmonic

no phase angle

amplitude 4

sound sample

 

Wave 2:

Third harmonic

Phase angle of p

Amplitude 2.3

Sound sample

Wave 3:

Fifth harmonic

Phase angle  p

Amplitude 1

Sound sample

Complex wave:

Periodic with fundamental (110 Hz)

Shape determined by phases of the harmonics

Sound sample

 

 

 

Mathematica notebook for graphs and sounds on this page

 

The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.