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January 22nd, 2016, 01:19 PM   #1
Joined: Jan 2016
From: England

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FM with graphs?


I'm experimenting with sound synthesis concepts in an online graphing calculator. I have the 4 basic waves and am doing combining, changing the frequency and amplitude and recently figured out amplitude modulation.

One thing I am having trouble with is FM. Originally I thought it would work with transformation of graphs so I'd have the following:
s(x) = sin(6x)
I'm using the 6 to have a big difference in the waves to make the FM clearer
m(x) = sin(x)
Then I first (and wrongly) thought the equation for the FM of s(x) by m(x) would be:

This is actually interesting as I found the wave seemed to turn back on itself every 150 degrees or so.

So what is the relation between s(x) and m(x) that I need to create a nice example of FM where s(x) doesn't turn back on itself and appears as FM normally would?

Thanks in advance
OTheB is offline  
January 24th, 2016, 01:38 PM   #2
Joined: Jan 2016
From: England

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The function is:
s(x + m(x))
However (and I have absolutely no idea why), this only works when the x axis is measured in radians.
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