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