Is there a reason there aren't any sine based objects in pd as opposed to cosine ones? Was this just an arbitrary decision based on Miller's part? I'm watching Lecture 5 from Miller's MUS171 class, and he only mentions in passing that "cosine is the simple function and sine is the complicated function" at 12:45. I don't see how one is more complicated then the other when they are both just lookup functions.
-
Why cosine and not sine?
-
@rjp9 Miller being a mathematician, perhaps he was referring to the mathematical (complex) qualities of these functions:
e^ix = cos(x) + i*sin(x)
from this perspective all that needs to occur to get a cosine function from a complex exponential is to take the real part of it, whereas for sin you also need to multiply by an imaginary number to "rotate" it into the real plane
Sin is also an odd function whereas cosine is an even function which could also lead to certain differences in properties perhaps
That's my best guess, from a computational/trig point of view they certainly seem identical.