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The triangle wave, Sound synthesis basics 51 pulse 2 user manual – Waldorf Pulse 2 User Manual

Page 51

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Sound Synthesis Basics

51

Pulse 2 User Manual

The Triangle Wave

The Triangle Wave is very similar to the square wave. It
is composed of the same harmonics as the square wave,
but with different magnitude ratios. The magnitude of
each harmonic is divided by the power of its number.
This means that the third harmonic’s magnitude is a
ninth, the fifth harmonic is a twenty-fifth and so on. The
following illustration shows the harmonic content:

Additive components of the Triangle wave

The reason why the triangle wave is so popular in clas-
sic synthesizers: It could act as a suboscillator wave, to
emphasize certain frequencies or to frequency modulate
other oscillators.

1 3 5 7 9

Frequency

Magnitude

Time

Amplitude

+

=

1st Harmonic

Magnitude 1

5th Harmonic

Magnitude 1/25

7th Harmonic

Magnitude 1/49

Harmonics

+

+

+

.

.

11 13 15

3rd Harmonic

Magnitude 1/9