Applet Collections

Applet 1: Sine Function Transformation

1. What happens if either a or b is equal to 0?
2. For what values of a and b does f(x)=g(x)?
3. Describe how f(x) changes if either a or b is negative, or if they are both negative.

Original Applet

1. Turn on the Octave, Fifth, and Fourth. What do you notice about these relative lengths?
2. Move the Cents slider until it lines up with the Fifth curve. Are the ratios shown by each curve the same? Why?
3. What operation would we use if combining interval frequencies? For interval ratios?