The path followed by a transformation can be given a number of ``periods''. When you request a path, by default TrikTraks gives you at least one period, and less than two.
You can specify the minimum number of periods you'd like in the following way:
output(sound.wav) # name of the output soundfile
duration(5) # duration of the transformation
initial(1) # play the initial state for these many seconds
final(1) # play the final state for these many seconds
20 40 # element 0: duration in samples
1000 # amplitude
30 60 sin periods(3) # element 1: duration in samples
-10000 # amplitude
40 80 # element 2: duration in samples
10000 # amplitude
10 20 sin periods(4) # element 3: duration in samples
-500 # amplitude
The above datafile is identical with the previous one, except for the addition of the period specifications. Now, the 2nd element's duration follows the path of a sine wave that will have at least 3 periods. The 4th element's duration follows the path of a sine wave that will have at least 5 periods.
Try synthesizing this sound, and listen to it. The plot of the transformation looks like this:

You can give high numbers for the periods as well. Acoustically things get very messy, and intriguing, very fast. Here's the previous example, but with a high number of periods for one of the elements:
output(sound.wav) # name of the output soundfile
duration(5) # duration of the transformation
initial(1) # play the initial state for these many seconds
final(1) # play the final state for these many seconds
20 40 # element 0: duration in samples
1000 # amplitude
30 60 sin periods(300) # element 1: duration in samples
-10000 # amplitude
40 80 # element 2: duration in samples
10000 # amplitude
10 20 sin periods(4) # element 3: duration in samples
-500 # amplitude
And here's the plot of the transformations:
