> Or rather, the problem is that if the chunk bounderiess don't line up 
> nicely with wave cycles, you get spurious high-frequency components being 
> reported that don't actually exist in the original signal.

Use a non-rectangular window function?

>> What wavelets do is allow you to use a different chunk size for different 
>> frequencies.  In a song you probably want a small chunk size for high 
>> frequencies (the absolute frequency is not so important, just the 
>> timing), and a large chunk size for low frequencies.
>
> Yeah. I get all that. I just don't understand how the maths works.

Maybe you should get a real book?  I have no idea if it is valid or not, but 
you could start off by doing repeated FTs with different chunk sizes for 
different frequencies...

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