Moog Music MF-107 FreqBox User Manual
Page 12
12
VCO Waveforms
The timbre of the VCO is determined by its waveform. As defined
earlier, a waveform is related to the timbre, and the number of harmonics
in a sound. In many musical sounds, waveforms are really complex, and
change a lot over time, often both in frequency, timbre and amplitude.
This is not so with the raw signal of a VCO. Unlike most musical
instruments, a VCO is always vibrating. It will vibrate without changing
frequency, timbre, or amplitude with no change at its control input. A
VCO waveform can be represented with really simple graphs. There
are various types of waveforms, we will talk about the waveforms that
Figure 12: VCO Waveforms
are produced by the
FreqBox’s VCO and how
they sound.
One basic waveform
is the sawtooth
wave.(figure 12A). The
start of the waveform’s
cycle is a rapid jump
from low to high then the
waveform ramps down to
the bottom. A sawtooth wave contains all the harmonics of the harmonic
series, with the amplitude of each harmonic decreasing by the same ratio
it increases, i.e. the 2
nd
harmonic is 2X the frequency of the fundamental,
but 1⁄2 the amplitude of the fundamental. The rest of the harmonics
continue in this manner. Because of all these harmonics, the sawtooth
wave can be described as very bright and buzzy.
Another waveform is the square wave (figure 12B). A cycle of a
square wave has two equally timed portions (the high and low), making
it a symmetrical waveform. It has only odd harmonics (3X, 5X, 7X, etc),
with each harmonic following the same basic amplitude relationship as
the sawtooth wave (The 3
rd
harmonic is 3X the fundamental frequency
and 1/3 the fundamental amplitude). The square wave sounds bright but
also a little hollow (somewhat like a clarinet).
A square wave is a type of rectangular wave (figure 12C), it happens
to be symmetrical. The width of the high portion of a rectangular wave
is known as the pulse width, and can be expressed as a percentage. For
instance, a square wave has a pulse width of 50%. When a rectangular
wave is assymetrical, it is called a pulse wave. As the pulse width gets
much smaller or larger than 50% the sound becomes thin and reedy,