Sinc wave Sine Wave controversy

This is to help those poor souls who still end up on the wrong page despite my previous post go to the end of this post you'll find your sine and sinc explanation there. Since I used to turn to the internet for information while I had to deal with sines and sincs I'll help them out. Turns out search engine optimization is tougher than I thought, but this should nail it. I have the search terms in the title, and shall be referring to them once again in the body.

Now for the math. People interested in Sine and Sinc waves, or Sinc and Sine waves look no further a short summary is given below.

sin(pi*x)/(pi*x) can be called a sinc(x) wave, and from what I remember it is the result of a fourrier transform on a square wave. wider the square wave the sharper the sinc, the thinner the square the wider the sinc.

Like I'd said in my previous post- remember always - time frequency duality. That means that what looks like something (say X) in the time domain can look like something else (say Y) in the frequency domain. What is interesting is that if you have the shape Y in the time domain it will look like X in the frequency domain. I had a project I'd made that converted images to sound via their frequency a little more complex than I'd like, done in matlab though so shouldn't be a problem to most to make something similar the reason for using frequency - we know that the human eye has a range as does the human ear create a map for the extreme ends map to frequency take inverse fourrier voila - sound. Any one wonder what a picasso sounds like ?