Kurzweil K2661 - Warp FUN Equations

FUNS
The FUN Equations
17-11
Figure 17-8 sin (a + b)
Warp FUN Equations
The next five equations all behave similarly, and are intended to be used as follows: the value of
Input a is the controlling value, and normally remains constant, although it doesn’t have to. The
value of Input b is expected to change over time; Input b might be an LFO, for example. The
value for Input a affects how the FUN calculates its output value while the value of Input b
changes.
warp1(a, b)
We call this the Vari-slope™ equation. The value of Input a controls the mapping of values for
Input b. If Input b is a sawtooth wave, different values for Input a will change it into a triangle
wave. If Input b is a more complicated waveform, the output waveform is also more
complicated.
Figure 17-9 warp1(a, b)
sin (a + b)
a = sine
b = 0
+1
1-1
-1
input
values
output
values
a = 0, b rising
from -1 to 1
a = .5, b rising
from -1 to 1
a = 1, b rising
from -1 to 1
+1
1-1
-1
input
values
output
values
+1
1-1
-1
input
values
output
values
+1
1-1
-1
input
values
output
values